diff --git "a/data/dm_maths/full_data_1/10255_11255.jsonl" "b/data/dm_maths/full_data_1/10255_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/10255_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Let o = 42 - 37. Sort o, -5, -6 in decreasing order.\nAnswer: o, -5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1*(2 - 1 - 3). What is the second derivative of 50*z + z**2 - 47*z + 0*z**b + 8*z**2 wrt z?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -14045*s**5 + 47218230*s**4 - 39684249545*s**3 - 2995239420*s**2 - 56515220*s = 0. Calculate s.\nAnswer: -2\/53, 0, 1681","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.9 - -2.09. Let y = i - 0.19. Sort y, 2, 1\/8, -3 in increasing order.\nAnswer: -3, 1\/8, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 730313 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 600692 to the nearest integer?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -8 - 0 - (7 - 10) - -9\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*w = -a - 15*w + 4, -4*w = 2*a - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - v - 1)*(-6 - 9 - 2 + (2 - 1 + 0)*(3 + 1 - 2) + 2 + 0 - 3).\nAnswer: 16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 4*a**3 - a**2 + 2*a + 32811. Is g(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 392 and 824.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*o**4 + o**4 - 2*o**4 + (0 + o**3 + 0)*(0*o - 2*o + 4*o) - o**3 + o**3 + 2*o**4 + 4*o + 7*o**4 - 4*o.\nAnswer: 12*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 5, 0, 10 in descending order.\nAnswer: 10, 5, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -146 and -1754830261.34?\nAnswer: 1754830115.34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -12*y**3 + 904 - 4*y**2 - 29*y**2 - 351 + 20*y**2 wrt y.\nAnswer: -36*y**2 - 26*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 4532*k - 13632.\nAnswer: 4*(k - 3)*(k + 1136)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -p**3 + 47*p**2 - 90*p + 7. What is m(45)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 7, z: 3}. What is prob of sequence cc?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 595431*f**3 - 552064.\nAnswer: 1786293*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*p**3 - 4*p**3 + 23*p**3 + 14*p**3.\nAnswer: 8*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 900, 1324, 1748, 2172, 2596, 3020?\nAnswer: 3444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2*j + 24 = 0. Let r be (j*1*12)\/1. Suppose 4*c - 8*x + 3*x - 76 = 0, 4*c - 4*x - r = 0. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 113*h - 2499 for h.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 7, 4, 900 in descending order.\nAnswer: 900, 7, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*a - 4*b + 9200000, 4*a - a = 2*b - 6900000. What is a rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9.2*-54.\nAnswer: 496.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -59, 7 in ascending order.\nAnswer: -59, -11, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/6 + -23 + 23. Suppose 2*o - 1 = 5*q + 4, 5*q + 5 = -3*o. Put q, k, -2 in ascending order.\nAnswer: -2, q, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 72 - (85 - (115 + -35)).\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 20334283?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 70?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 7*b**2 - 1459*b - 340. Give r(208).\nAnswer: -964","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10*k + 4 + 4)*(-1 + 4 - 5).\nAnswer: -20*k - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u - 84 = -2*u. Suppose -4*a = -7*a - u. Let x = a + 20. Round x to the nearest ten.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-33)\/18)\/((-294)\/539 + (-50)\/(-132))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(3) + (1*sqrt(243) + sqrt(243) - sqrt(3)) - sqrt(27)*-2) - (3 + (sqrt(192) + 1*sqrt(192))**2).\nAnswer: -767 + 24*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 53*r + 115. Determine u(-7).\nAnswer: -256","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l - 1. Let r(m) = -197*m - 4. Let q(h) = -3*f(h) + r(h). Is 11 a factor of q(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12234410, 12234406, 12234402?\nAnswer: 12234398","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 minutes after 5:33 PM?\nAnswer: 10:50 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.354289 to one decimal place.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2.5 - 3. Suppose -218 - 133 = 27*f. Let m be -1*(6 + 6 + f). Which is the biggest value? (a) x (b) m (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 42*q*s**4 - 2*q - 280*s**4 + 1706*s**2 wrt s?\nAnswer: 1008*q*s - 6720*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 2898?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o - 7 = -3*o. Let z be 2 + -1 - o\/5. Let j be ((-1)\/2 - -2)\/(1 + 925\/(-100)). What is the nearest to -3\/5 in z, j, -0.1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 - 16. Let m be w\/(-6) - 1\/(-2). Solve 6 = m*h - 4 for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 605063112*o - 59384656?\nAnswer: 605063112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 12 + 4*b**2 - 9*b - 3*b**2 - 2*b. Suppose r = -5*d - 5, 3*d + 26 + 23 = 4*r. What is the units digit of u(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in 20, 5\/4, 25\/8?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10*(36\/1620)\/((-2)\/(-6)).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 101111110011100 + 1110001110?\nAnswer: 110001100101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 331.8819l in millilitres?\nAnswer: 331881.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 2*m**2 - 28*m - 310. What is n(21)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*n - 9 + 24 - 2*n**2 - 11 - 6 - n**3 to h*n + l*n**2 + s*n**3 + r and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 1 y when two letters picked without replacement from fhfqhqydhfhx?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-70)\/(-175))\/(1\/(-25)). Let g = 15 + i. Solve 0 = -3*j - m + 13, -j + g*m = 3*j + 8 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from momwmwwwwwwmommwmw. What is prob of picking 2 m and 2 o?\nAnswer: 7\/1020","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*s + 2568 + 792. What is the highest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1283, 2566, 3849, 5132, 6415, 7698?\nAnswer: 8981","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 5684.354 kilograms?\nAnswer: 5684354","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of -203.93 and -48.\nAnswer: 9788.64","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, -56, -6\/13, 2?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = m**2. Let u be 2\/3 + 8\/6. Let w(a) = -a**u - 19 + 19. Determine z(w(f)).\nAnswer: f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2 + 3 + r**2 + r**3 + 0 - 2*r**3. Let o(p) = 155*p**3 + 7*p**2 + 2*p + 6. Let x(f) = -o(f) + 5*w(f). Is x(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of -o**4\/2 - 7*o**3\/6 - 11*o**2\/2 + 2*o - 5. Let q(b) = -5*b**2 - 7*b - 10. Let w(a) = -5*q(a) + 4*v(a). Calculate w(-5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/136975 or -2?\nAnswer: 3\/136975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1662446?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/4 + (-2841)\/(-6) + 9. Let d = -481 + l. Sort -57, 0.5, d, 2\/5 in increasing order.\nAnswer: -57, 2\/5, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i**2 + 2*i**2 - i**2)*((-3*i - i + 3*i)*(-4*i + i + 5*i) - 6*i**2 - 2*i**2 + 1 + 12*i**2) + (11*i**3 - 3*i**3 + i**3)*(-34*i - 2*i - 13*i).\nAnswer: -443*i**4 - i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -35 + 29. Let u(p) = -22*p - 18. Let k be u(r). Let g = k - 79. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -9*d + 4. Let h(a) be the third derivative of -a**6\/120 + 2*a**5\/15 + a**4\/24 - 11*a**3\/6 - 2*a**2. Let f be h(8). List the prime factors of v(f).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f + 10. Let z be u(-5). Let g(r) be the first derivative of -1\/10*r**5 + 0*r + z*r**2 + 1\/6*r**3 - 1 + 1\/12*r**6 - 1\/8*r**4. Factor g(m).\nAnswer: m**2*(m - 1)**2*(m + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = d**2 - d - 1. Let u = 6 + -6. Let s be b(u). Let x be 0 + 2 - (3 - s). Which is bigger: -1 or x?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -245 - -244.5. What is the nearest to -2\/5 in -9, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 662 = h + 5*r, -4*h + 2656 = 4*r. Let i = h + -567. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2433145777 to the nearest integer?\nAnswer: 49327","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1990 divided by -995?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -z**2 + 1023 + 2*z**4 - 1053 + 6*z**2 to the form y*z**4 + b*z + m + v*z**2 + k*z**3 and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 197*x + 10262. Determine h(-52).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from mmmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4813 is divided by 685?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -k + 22. Let a be z(10). Suppose 4*f = u + a, -3*f = 4*u - 5*f - 22. What are the prime factors of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 32 - 58.927.\nAnswer: -26.927","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -38223, -80699, -123173, -165645?\n\"Answer: t**2 - 42479*t + 4255","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 65*12\/1248*8\/(-2)\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 28c88a (base 15) to base 14\nAnswer: 392776","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -4*r - 10. Let j(a) = -a**2 - 19*a - 4. Let s be j(-19). Let h be q(s). What is the greatest common factor of h and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 308510 times -7\nAnswer: -2159570","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q + 8 = 3, 4*v - 3*q = -11 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*r + 35 = 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4279 + 3*q**2 - 4279.\nAnswer: 3*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 8497020541 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 45749337343 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 63.27 + -3\nAnswer: 60.27","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 45134 (base 6) to base 10\nAnswer: 6322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 424, 11, 22 in descending order.\nAnswer: 424, 22, 11, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1001100 (base 2) in base 6?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 56106?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(200) + (sqrt(200) - -5*(1 + sqrt(200) - sqrt(200) - sqrt(200))))**2 - (sqrt(200) - (sqrt(200) + -5 + (1*sqrt(200))**2) - sqrt(200)))*6*1.\nAnswer: -1740*sqrt(2) + 12124","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*f**2 + 60*f - 185*f**2 - 58*f + 174 wrt f.\nAnswer: -364","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14242 = 355*z - 2443 for z.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -13 - -9. Suppose 10 = -5*d + 3*h, -4*h = 2*d + 27 + 3. Let x = -104 - -108. Sort d, x, y in ascending order.\nAnswer: d, y, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 - 4*q. Let p be s(4). Suppose -4*w = -p*w. Solve 3*o - 3*m + 30 = -w*o, 5*o = -3*m - 10 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3 + (-65)\/(-20))*0. Let i(o) = -7 - 3*o**2 + o + o**2 + o**2. Determine i(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yt when two letters picked without replacement from {t: 18, y: 1}.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 33241660, 33241662, 33241664, 33241666, 33241668, 33241670?\n\"Answer: 2*a + 33241658","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 6303244 a multiple of 179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1468 - 8*b - 1468.\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 529884.4 millennia in months?\nAnswer: 6358612800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*h + 156 = -5*h. What is the third derivative of -3*n**3 + 148 + h*n**3 - 39*n**2 - 150 wrt n?\nAnswer: 216","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -5*i, -3*o - 5*i = -216 - 260. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2\/3*((-195)\/(-10))\/13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = 2*y + 26 - 8, y - 5 = -z. Let p = y + -1. Let x(b) = b**2 + 4. Let j be x(p). Is 5 greater than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k + 20 = -4*k. Suppose 5*h - 2*l - 20 = 223, -h + 63 = -k*l. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 22 and 99?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8274\/(-7880)*10\/(-6).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13142 is divided by 5050.\nAnswer: 3042","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -2*d - 7. Let x(s) = 3*s + 2. Let z(h) = 16*h + 9. Let a(q) = 11*x(q) - 2*z(q). Determine 7*a(j) + 4*m(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3408000 rounded to the nearest 1000000?\nAnswer: 3000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.2 - 0.4. Suppose 4*x + 5*m = 4, 2*x - 4 = -3*m - 0*m. Which is the second smallest value? (a) w (b) -0.1 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 118806, 237611, 356430, 475269, 594134?\n\"Answer: w**3 + w**2 + 118795*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 18\/12805 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = -5*f**2 - 6*f - 27. Suppose -53*r + 635 + 266 = 0. Let b(i) = 14*i**2 + 17*i + 80. Determine r*o(v) + 6*b(v).\nAnswer: -v**2 + 21","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w = -22*w + 84. Is 329\/1 - (-4 + 21\/w) a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 4\/3, -1\/9, -4, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 36 = -5*a. Which is greater: 8 or a?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 797 is divided by 229.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2921, 2911, 2901, 2891, 2881?\n\"Answer: -10*i + 2931","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 4*d**2 + 8*d + 6. Suppose -5*w = -10*w + 20. Let a(o) = 3*o**2 + 7*o + 5. Let u(p) = w*b(p) - 5*a(p). Let l(t) = 2*t - 1. Let f be l(3). Give u(f).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 9694041.\nAnswer: 9694041.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101160*q*w**5 - 955*q*w**4 - 345*q*w**2 - 3*q + 11786*w + 2 wrt w.\nAnswer: -6069600*q*w**2 - 22920*q*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/2 of a milligram in micrograms?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 167 minutes before 11:04 AM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1ab9 + -5?\nAnswer: -1ac1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -993 + 992.9998637. What is b rounded to five dps?\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -60, 177, 1, -261 in increasing order.\nAnswer: -261, -60, 1, 177","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -105244 + 105348. Suppose 0 = 4*r - 3*l - 1, 2*r = -l + 5*l + 8. Calculate the remainder when t is divided by (7\/r)\/(3\/(-30)).\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*b + 518 + 322 = 53*b for b.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 58\/(-58)*(1 - 12\/(-10)).\nAnswer: -11\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 h when two letters picked without replacement from hwwnwwnwqqnw?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 960 - 552. What is the greatest common divisor of p and 9894?\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v**4 - 9847*v**3\/7 + 10834*v**2\/7 + 11260*v\/7 - 9400\/7 = 0. What is v?\nAnswer: -470, -1, 2\/3, 10\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(252) + -1*sqrt(252))\/sqrt(7))\/sqrt(6)*-6)\/(((2*sqrt(240) + sqrt(240))\/sqrt(12))\/(5*sqrt(90))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 160.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 40384 and 40?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1176 from -35497.\nAnswer: -36673","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**3 - 2*x**2 + 2*x + 3. Let f(h) be the second derivative of -3*h**5\/20 - 7*h**4\/12 + h**3 + 5*h**2 - h. What is 2*f(d) - 7*r(d)?\nAnswer: d**3 - 2*d - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-4)\/(-12 + 0)*-30. Which is the second smallest value? (a) 0 (b) t (c) 20\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence im when two letters picked without replacement from hifjjfjmfjfmjfmfl.\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 7, 78\/137.\nAnswer: 78\/137, 2, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*l**2 - 13336*l + 13340.\nAnswer: -4*(l - 1)*(l + 3335)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of f**7\/210 + 9*f**6\/8 - f**5\/30 + 35*f**4\/8 + 2*f**2 + 36*f. Find the third derivative of u(n) wrt n.\nAnswer: 24*n + 810","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (16 + -17 - (-13 + 20)) + (-8 - 4).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/6*(20\/(-15) + -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = -4*s + 19, 3*s + 69 = 2*y + 83 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 4, -3, 188\/11, 0.5, 0?\nAnswer: 188\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((0 + sqrt(1331))*-2)**2*3 - (3 + sqrt(1331)*1 + 5)**2)*1*-2.\nAnswer: -29154 + 352*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-2))\/((-2)\/4). Let w = 29.1 - 28.805. Let a = -0.395 + w. What is the closest to a in -0.5, p, -1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10 - 5. Let v = 2.2 + 0.5. Let u = v + -2.9. What is the nearest to -1 in u, z, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = g**2 - 16*g - 31. Let c be x(15). Let a = 57 + c. Which is greater: a or 0.7?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -30*y**2. Let l(p) = -p**3 - 2*p - 1. Let m be l(-1). Let v(n) = -9*n**2 + 2*n**m + 0*n**2 + 11*n**2. What is u(v(s))?\nAnswer: -480*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1128 is divided by 592?\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 139\/930 and 16\/213045.\nAnswer: 13208790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 63 (base 9) to base 2.\nAnswer: 111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 3.807155 millimeters?\nAnswer: 3807155","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 6 = -0. Let i be (0 + 0)\/((-2)\/2). Suppose i*u + o = u. Solve u*h = 4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = h + 58. Let y(s) = -14. Let z be ((-12)\/(-150)*-10)\/((-2)\/5). Let w(l) = z*d(l) + 9*y(l). Determine w(6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 309 minutes before 11:51 AM?\nAnswer: 6:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(375))\/(sqrt(405)\/sqrt(9)).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 35 minutes after 8:41 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, z: 1, t: 8, q: 1}. What is prob of picking 1 z and 1 q?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4797 and 1989.\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the third derivative of -1\/10*t**5 - 1\/120*t**6 + 0 - 33*t**2 - 7\/6*t**3 + 0*t - 1\/4*t**4. Determine a(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 92*z - 93*z + 5 = 0, -z - 489505 = -9*f. What are the prime factors of f?\nAnswer: 2, 3, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/15)\/i*i)**(-2\/63)*(i\/i**(4\/3))**(2\/99) assuming i is positive.\nAnswer: i**(-26\/10395)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5857 is divided by 291.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide -30 by -7.\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/15 - 1\/(3\/4).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -8, -1, 16 in descending order.\nAnswer: 16, 0.2, -1, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 36\/4409 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 5810603461?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**2\/8 + 944*m + 68049\/8.\nAnswer: -(m - 7561)*(m + 9)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 14*t - 24*t + 21*t + 673 - 218 + 4*t as i + f*t and give i.\nAnswer: 455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) be the first derivative of -13 + 30\/11*c**2 - 46\/33*c**3 + 18\/11*c + 2\/11*c**4. Factor p(a).\nAnswer: 2*(a - 3)**2*(4*a + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**2 + m + 10. Calculate t(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * -3.3\nAnswer: 0.198","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12643 is divided by 1053?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1\/4, -5, -4\/17 in descending order.\nAnswer: 2, -4\/17, -1\/4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -9827 - 52\nAnswer: -9879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 537, 534, 529, 522, 513?\n\"Answer: -i**2 + 538","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -647 take away 50?\nAnswer: -697","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1495215205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/(q**(-6)\/q)*q*q**(-2))\/(q**0)**(-3\/25) assuming q is positive.\nAnswer: q**7","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (264\/2970*-20)\/(((-8)\/18)\/2). Determine q, given that -64 + f*q - 1\/4*q**2 = 0.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -343 in 4, 0.3, -2\/3, 0, -0.06?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 + 14. Suppose 0 = 7*y - k*y. Suppose y = -4*z + 3*z + 217. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 21\/8 of a kilogram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (31*p + 5 + 22*p - 46*p)*(-3 - 1 + 2)*(-5*p + 2*p + p).\nAnswer: 28*p**2 + 20*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-12)\/(-25)*(-15)\/6. Which is the fourth biggest value? (a) 1\/4 (b) n (c) 0.3 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/423 and -145\/846.\nAnswer: 846","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57 - -0.009236.\nAnswer: -56.990764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6938.742 litres to millilitres.\nAnswer: 6938742","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-28 + 5*c - 18 + 44 + 21*c**2)*(-4*c + 0*c + 2*c) to the form y*c**2 + p*c**3 + a + b*c and give b.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**2 - 8*q + 7. What is m(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -u**3 + 1. Let w(j) = -20*j**3 + 90. Let d(s) = 6*b(s) - w(s). Differentiate d(h) wrt h.\nAnswer: 42*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:07 AM and 10:07 AM?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1191 is divided by 543.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -89 (base 14) in base 2?\nAnswer: -1111001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s, 1 v, and 1 y when three letters picked without replacement from {s: 1, v: 4, y: 4, k: 6}.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 3700488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 10:38 AM?\nAnswer: 12:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*y + y - 8 - 3.\nAnswer: 3*y - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.2 - 0.3. Let g = -3.49 - -3.79. Suppose -5*d = -v - 26, 3*v - 4*d + 19 = 4*v. Which is the nearest to k? (a) g (b) v (c) 3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of j**4\/12 - j**3\/2 - 372*j**2. Suppose -4*r + 24 = -0. Let o be (-1)\/(2\/r - 5\/6). Give h(o).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wfhw when four letters picked without replacement from chwhfccfhwccw.\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1432? (a) -23 (b) 3\/79 (c) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 89970402 to the power of 1\/2, to the nearest integer?\nAnswer: 9485","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -107 - -103. What is the tens digit of 750 + (-5 - (-1 - x))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1140*q**2 + 1133*q**2 - 1661*q**2)*(-2*q + 2*q - q)*(1 + 2*q - 1).\nAnswer: -1224*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 79 - 34. Let d(t) = -t**2 + 7*t - 7. Let u be d(8). Let f = p + u. Is 15 a factor of f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bbb7 (base 12) in base 4?\nAnswer: -11003323","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -233*f**2. Let q(i) = -33*i**2 - 8. Let h(g) = 74*g**2 + 18. Let v(j) = -4*h(j) - 9*q(j). Calculate v(y(x)).\nAnswer: 54289*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 75064944325 - 75067313114.00022. Let q = x + 2368763. Let c = q + 26. What is c rounded to four decimal places?\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a litre in millilitres?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2607242?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = -7*v + 3*v + 6, -2*l = 2*v - 2. Suppose 14*z - 208 = v. Let n be -3 + (8\/20 - (-54)\/z). Solve -n = m + 2 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2408?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -29, -4.9, 2.6, -41, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -37 - (-38 + 25) - -41?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 - -3. Let f = 24 - 23.6. Which is the second biggest value? (a) f (b) 2\/9 (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*i + 1765 - 3532 + 4*i + 2*i + 1767.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 640 (base 8) in base 15?\nAnswer: 1cb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 922233734 and 362.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/7 (b) -1 (c) 1346\/21 (d) 1.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the third derivative of -j**7\/630 - j**6\/180 + j**5\/5 + j**4\/12 - 91*j**3\/6 - 72*j**2. Let q(i) be the second derivative of l(i). Factor q(g).\nAnswer: -4*(g - 2)*(g + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 - 13*v**2 + 28*v - 7. Let x be u(13). Suppose 15*b - 8*b = x. What is the lowest common multiple of b and 136?\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d = -z - 1 + 8, 0 = 2*d - 4*z + 14. Let x(h) = -h**2 + h. Let b(n) = -2*n**2 - 3*n. Calculate d*b(c) - 3*x(c).\nAnswer: 5*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (a + 2*a - 6*a)*(7*a - 13*a**3 + a**4 + 15*a**3 + 12*a).\nAnswer: -3*a**5 - 6*a**4 - 57*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Do -2743\/5 and -548 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -156945, -313917, -470889?\n\"Answer: -156972*z + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**2 - 4*z - 3. Let f be (1 - (-13)\/2) + (-6)\/(-4). Let m(n) = -2*n**2 + 9*n + 5. Give f*l(o) + 4*m(o).\nAnswer: o**2 - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1298 and 103466.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from awww. Give prob of sequence aww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = -4*d - 5. Let w = d - -30. Is w a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4191932.\nAnswer: 2, 19, 2903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 - -621b?\nAnswer: 621a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:42 AM and 11:04 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = -289405*o**2 + 125. Let a(x) = 4*x**2. Calculate j(a(i)).\nAnswer: -4630480*i**4 + 125","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*r**4 + 0*r - 1 - r**3 + 15*r - 3*r**3 + 0*r**3 to the form w*r**4 + u*r**3 + j*r**2 + i*r + c and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of -4*o**3\/3 - 16*o**2 - 64*o - 6. Factor y(u).\nAnswer: -4*(u + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t**(1\/3))**(-4\/11)*t**(-7)*t**(2\/7)\/t*t assuming t is positive.\nAnswer: t**(-1663\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 12*a**2 - 15*a + 1. Let u be f(-13). Let d = -28 + u. Sort -17, 5, d.\nAnswer: -17, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i = -65 - 30. Let p = -3 - i. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 11*k**2 + 16*k + 105. Let u(b) = -3*b**2 - 4*b - 26. Give -4*j(g) - 15*u(g).\nAnswer: g**2 - 4*g - 30","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 20.51 + -18.51. What is the nearest to 1 in -5, 3, v, 10.6?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4.5 - -25.5. Let h = t - 17. Let i = 3.99999997 - h. Round i to 7 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00001134254 rounded to six decimal places?\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 k when three letters picked without replacement from {k: 4, c: 2, z: 3}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 0 (c) 2 (d) -14\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 3*s = 6*s - 8, 0 = -3*k - 2*s + 10. Solve -21 = -5*z - 4*o, -2*z = k*z + 2*o - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 266 + -164. Suppose 3*u - i = -2*x, u + x - 131 = -3*u. Let h be 28\/u*(-20)\/(-14). Which is the third biggest value? (a) -4 (b) -1 (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.01674 less than -18?\nAnswer: -18.01674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*t**2 - t**2 + 1 + 3 + 4*t**2 as s + f*t + k*t**2 and give s.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Add 20 and -2674097.\nAnswer: -2674077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -174*g - 284 wrt g?\nAnswer: -174","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.802437l in millilitres?\nAnswer: 9802.437","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 2:58 AM?\nAnswer: 12:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 80 and 28430?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.8816575 to 3 dps.\nAnswer: 3.882","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 6 = -i, 13*i - 9*i = -q + 15. Which is the third smallest value? (a) 1\/7 (b) q (c) 386\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lgkjjllkklhkgkggk. What is prob of picking 1 h and 3 l?\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/3 - 225\/(-27). Let a = k + -1. Suppose -210 = -13*x + a*x. What is the tens digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -94471836*o*p**2*x**2 - 135*o*p*x - o*x - 2*p**2*x - 1284*p wrt x?\nAnswer: -188943672*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*k + 444804 = -127988. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1, -71, -113\/6, -5\/6, -0.3 in descending order.\nAnswer: 5, -0.3, -5\/6, -1, -113\/6, -71","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 2475 = -170*l for l.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*h - 5*s + 2*s - 18, 0 = -5*h + 3*s + 20 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 84 (base 9) to base 10\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 101540\/(-10878) - 4\/(-6). Let o be ((-4)\/777)\/((-32)\/12 - 2). Let w = a + o. What is the common denominator of -28 and w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + 3 - 14\/21*(-3)\/2\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -138*s. Let c(x) be the first derivative of -x**2\/2 - 207. Give f(c(n)).\nAnswer: 138*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 17375845?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -104191*a**3*d - 8*a**3 - a**2 - 3*a*d**2 - a - 20498 wrt d?\nAnswer: -104191*a**3 - 6*a*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(550)*-3)\/sqrt(11))**2 + -4.\nAnswer: 446","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -14 - -16. Suppose -4*q = -g - 0*g + 15, -25 = -o*g + 3*q. Solve 2*f = -5*v + 11, 4*v + 3*f + g = 8*f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6, 14, 22, 30, 38, 46?\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/10 + (-154)\/(-10). Let q(k) = 79 + 3*k**2 - x*k**2 - 79. Let s(a) = 2*a. Calculate s(q(c)).\nAnswer: -24*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -122 = -3*w + 2*w. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = 6*l**2 + 8*l - 50. Let a(f) = -13*f**2 - 18*f + 100. Give -4*a(h) - 9*r(h).\nAnswer: -2*h**2 + 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) be the first derivative of -305 + 0*t + 5\/2*t**2. Let o(w) = 2*w**2. Calculate o(p(n)).\nAnswer: 50*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9550 is divided by 9312.\nAnswer: 238","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, k: 1}. What is prob of picking 2 n?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -63 + 127. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7 + -1. Suppose 337*o - 1092 = 64*o. Which is greater: o or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5373, 29, 3 in descending order.\nAnswer: 29, 3, -5373","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -j**4\/15 - 8*j**3\/15 - 8*j**2\/5 - 12*j. Find d, given that o(d) = 0.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-18) + 88\/9. Solve 14*i = k*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -2*l**3 - 16338*l**2 - 358548*l - 651760 = 0?\nAnswer: -8147, -20, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 76786480 to the power of 1\/8, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**(2\/3))**31)**(1\/49) assuming s is positive.\nAnswer: s**(62\/147)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -140693, -281384, -422075?\nAnswer: -562766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1459 - 200. Let c = g + -4981\/4. What is the common denominator of (-1)\/(-2)*(-58)\/4 and c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence guhg when four letters picked without replacement from {u: 2, g: 3, h: 12}?\nAnswer: 3\/1190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 12582 + -12468. Calculate the greatest common factor of 22762 and m.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -531, -3, -4 in increasing order.\nAnswer: -531, -4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t**2 - 3*t**2 + 3*t**2)*(2 - 5 + 2) - 923 + 100*t**2 + 923 as r*t**2 + y*t + g and give r.\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -583*z = -116066 + 85750 for z.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 a factor of 1004724?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from quuhquunqhguqugunuq. Give prob of picking 2 u, 1 n, and 1 q.\nAnswer: 70\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2 (b) 0.3 (c) -1 (d) 1\/10\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 37*r - 38*r. Suppose -4*a = -4*q - r*a - 4, -13 = q - 4*a. What is the nearest to 1 in 0, -4, q?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/146721 and 61\/3?\nAnswer: 146721","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1407?\nAnswer: 3, 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -14*g + 29. Let p(n) = 1280*n - 424*n - 424*n - 424*n. What is c(p(y))?\nAnswer: -112*y + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 4*(15\/6 + -2). Suppose t*h + 2 = 0, a - 6 = 3*a - 4*h. Calculate the least common multiple of (-12)\/30 - 17\/a and 4.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -4 - -5 - 2\/2*1. Suppose n - 2*p + 10 = q, -4*n + 3*p - 25 = -2*p. Solve 3*d + 4 + 2 = n for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 3, l: 1, h: 5, d: 4, m: 4, p: 1}. Give prob of picking 1 e, 1 m, and 2 h.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:28 AM and 3:31 PM?\nAnswer: 303","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 75*c - 4. Let y(b) = -2475*b + 9. What is a(y(t))?\nAnswer: -185625*t + 671","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 2 + -343?\nAnswer: -341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 33\/8 and -77\/148.\nAnswer: 296","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -6 in 2079, -4, 5, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*a**5 + 3*a**5 - a**5 + (-3*a - 3*a + 5*a)*(4*a**2 - 2*a**4 - 4*a**2) - 4647*a**5 + 8787*a**5 + 2082*a**5.\nAnswer: 6226*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tmtmmttttmtm. What is prob of sequence ttt?\nAnswer: 7\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 + -41 + 36 + 0 + 7.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 10 - 2)*(-2*x**2 - 2*x**2 + 6*x**2).\nAnswer: 6*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2868028?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 220 and 15300.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 466099959?\nAnswer: 3, 13, 229, 52189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2*(-55)\/154*14\/35.\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5364513 a multiple of 231?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, -9, -986, 0 in descending order.\nAnswer: 10, 0, -9, -986","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1776586 is divided by 479?\nAnswer: 454","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 - 1170*g + 66091. What is i(54)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Are 10\/43889 and 1 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q - 3*h = -h - 42, 235*h - 237*h - 12 = q for q.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = 438*v**3 - 14*v**2 + 2*v + 9. Let i be s(6). Suppose 7*y - i = 14942. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the second derivative of n**3\/6 - 9*n. Let t(i) = -5*i**2. Calculate u(t(c)).\nAnswer: -5*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -4202, -4201, -4200, -4199, -4198, -4197?\n\"Answer: o - 4203","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 227068.\nAnswer: 2, 56767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 10307 - 9999. What is the greatest common divisor of 322 and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 85855149 and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (4 + -1)*(-4)\/(-12). Let k(z) = 5*z**2 - 7*z**2 + 3*z**2 - 1 + 3*z**2 + z. Give k(r).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -263.3378958511999 + -248372724.6621059488001. Let s = t - -248372968. Let b = s + 20. Round b to seven dps.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9207.625 minutes in microseconds?\nAnswer: 552457500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 46760 is divided by 5399.\nAnswer: 3568","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + 29. Let d = m + 9. Let b = -1 - d. What is the remainder when 20 is divided by b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -148 - -1189\/8. Let a = 178 - 215. Find the common denominator of x and a.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9460 to the power of 1\/2, to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*n = 3*a - 17*a + 16, -72*a + 72*a + n = -4 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l + 4*o - 1020, 67*o = -2*l + 66*o + 506. Is -2 at most as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -406 + 294 = 2*k. Let p(q) = -q**2 + 14*q - 1. What is the remainder when p(6) is divided by (-4)\/(-5)*(-700)\/k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h*h*h**45)\/h**19)**(32\/7) assuming h is positive.\nAnswer: h**(928\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find z such that 15*z**4 - 89690*z**3 + 29895*z**2 = 0.\nAnswer: 0, 1\/3, 5979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*n = 3*y + 3, -10*y + 2*n + 23 = -5*y. Suppose 15*s + 37 = y*m + 20*s, -4*s = 5*m - 66. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0 - -142. Does 12 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes after 8:06 PM?\nAnswer: 9:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -8\/13*x**3 + 12\/13*x**2 + 0 - 12\/13*x**4 + 10\/13*x**5 - 2\/13*x = 0.\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 4, p: 6, r: 2, d: 1}. What is prob of sequence rpdo?\nAnswer: 2\/715","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 2*s. Let a(w) = -175*w. What is a(b(y))?\nAnswer: -350*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3941 - -810. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 101 (b) 5 (c) 4 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1\/7 (b) 0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*i - 53*i = -800 for i.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jjjbjbjjjjbbbjbjjjj.\nAnswer: 26\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/75)\/((-44)\/(-10))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36*d = 5*s + 32*d - 16, -s = 3*d + 12. Solve -4*n = s, 5*v + n + 3*n = 20 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28 + (-107)\/((-5243)\/(-2058))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 22, 1\/3, -1.8?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ata when three letters picked without replacement from mttmaatatataaataat.\nAnswer: 7\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9994 + 9881. Does p = -146?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 603 - 292 = 0. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*q = -1456 - 1096 for q.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.13 and -38070100459.\nAnswer: -38070100458.87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 648?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 4*k = 7, -3*h + 0*h = 3*k - 24. Solve 0 = 5*u + h - 25 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 322662*5.\nAnswer: 1613310","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 134026 less than -0.31896?\nAnswer: -134026.31896","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 6*j - 16 - 14*j + 5. Suppose 4*x + 51 = -5*a, -x = -4*a + a. Calculate the remainder when i(x) is divided by 21.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3b1 + -6d?\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40\/187 (b) 2 (c) -1\/8 (d) 76\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 60418847 to the power of 1\/7, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12672630 to the nearest integer?\nAnswer: 3560","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + m + 5 = 0, -2*b - 3*m + 5 = 20. Suppose b*s + 13 = z - 2*s, -z + 19 = -4*s. Suppose 0 = -q + 16 - 4. What is the remainder when q is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 6120 and 984.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 92.1 - 10.1. Let l = -1260345.979889 + 1260263.98. Let q = a + l. Round q to five decimal places.\nAnswer: 0.00011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7 + 6*k - 7 + 4*k + 3*k + k + (-3 + 6 - 5)*(-1 + 1 - k))*(k + 8*k - 25*k).\nAnswer: -256*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 73 = 5*x - 122. Let j = x + -17. Calculate the greatest common divisor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2071 or 100669?\nAnswer: -2071","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**3 - 3*g**2 - 11*g + 6. Let m be s(5). Solve 3*n = m - 16 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 5*a**3 - 22*a**2 - 36*a + 35. Is w(14) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.3*-30468735.\nAnswer: -9140620.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 12 * -102.\nAnswer: -1224","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -278722370 to the nearest 100000.\nAnswer: -278700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 + 6 = 4*p. Let l(q) = -q + q**p - 11*q**2 - q - 2 + 7*q**2. Let w be (-1)\/7 + (-203)\/(-49). Give l(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1202735 to the nearest ten thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - 5*p = 3*k - 74, -4*k + 58 = -3*p. What is the units digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 2 z, and 1 p when four letters picked without replacement from pqzepeozoqezpppzzr?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a = 4*r - a - 8, 2*r - 4*a = 4. Let k(v) = 16*v - 2. Let x be k(1). Suppose -5*w + 2*s + x = -w, -22 = -5*w - r*s. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00554 to four decimal places.\nAnswer: 0.0055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6\/(-4)*32\/(-6). Suppose -180 = -2*o - 36. What is the highest common factor of z and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*(k*(k**5\/k)\/k)\/k*k**(-1\/4)*k*k**(-2\/21)*k**(-6\/5))\/((k**(-1))**(-1\/22)\/(k*k*k*k**0*k)**(-2\/89)) assuming k is positive.\nAnswer: k**(1364879\/411180)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*y + 126 = 125*y. Solve 6 = -y*q, -4*i + 4*q = -14 - 6 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-40)\/(-3)*(-27)\/(-36)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*k + 1 + 5, -k = -m. Let l = 7 + m. Let d**3 - 3*d - d**l + 4*d**2 + 4*d - 2*d**3 - 3*d**2 = 0. What is d?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-840)\/(-50) - ((-6)\/(-7) - (-1406)\/(-1330))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*a + 9 + 2*a**2 + 5*a + a**2 - 4*a**2 in the form i*a + k + l*a**2 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*y = 9992 - 9752 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that -2*l**2\/11 + 17660*l - 428828950 = 0.\nAnswer: 48565","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, r: 1, f: 1, d: 9, x: 5}. What is prob of sequence df?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/276*12*(-12)\/(-12))\/(-2)?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x - 14 + 5 + 11. Let k(m) be the second derivative of -6\/7*m**x - 30*m - 1\/21*m**4 - 8\/21*m**3 + 0. Let k(s) = 0. What is s?\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 4) to base 13.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 779664.3 millilitres to litres.\nAnswer: 779.6643","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -21*y - 429592 = -1036954. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50939452771 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 981154 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 10) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:54 PM and 10:09 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 3*m = -8*m + 4213, 5*r - 10498 = -m. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1265798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - y = -8 - 9, 0 = v + 5*y - 7. Let h = v + 2. Let k be (h\/(-1))\/((-2)\/6). Which is bigger: -1 or k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z + 2*p = -14, 4*z + 10*p = 16*p + 14 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + (-79)\/(-42) + 4\/(-2). Which is bigger: -1 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3219650 divided by -64393.\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4, -1, 1, -11\/6, 25, 1\/4 in descending order.\nAnswer: 25, 1, 0.4, 1\/4, -1, -11\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*a + r + 29, 5*a = -r - 4 + 47 for a.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/9 in 11, 5, -0.2, -3, -11769?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -2) + -250 + 270\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5635902*s**2 + 2753504*s wrt s.\nAnswer: -11271804","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -10, -4*n - 4*t + 663 = -837. Let w = n - 218. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (24\/75)\/((-14)\/35)*(-13)\/((-26442)\/45)\nAnswer: -2\/113","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 9*d**2 + 3*d + 3. Suppose 0 = -2*s + 7*s + 10. Let r be m(s). Suppose r - 3 = 5*y. List the prime factors of y.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1024759, -2049330, -3073901, -4098472?\nAnswer: -5123043","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -26 divided by 357\nAnswer: -26\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-4 + 5)*(-36 + -4). Let h be (2\/(-4))\/(84\/a - -2). Solve -k - 1 = -2*b, -2*k - 3*k = -5*b - h for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-96)\/10)\/((-51)\/340). Differentiate -u + 0 - 3*x**2 - 30*x**2 - 29*x**2 wrt x.\nAnswer: -124*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*w - 123*w**2 - 4*w - 36*w + 64*w to o + s*w**2 + d*w and give d.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/4 + 19*x**3\/2 - 835*x**2\/4 + 388*x - 189 = 0. What is x?\nAnswer: -54, 1, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -42 and -14952.\nAnswer: 627984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t - 37*t**3 - 2*t + 3*t + 1. Let k be c(-3). Suppose 3*v - k = v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 4*z**3 + 219*z**2 + 46*z - 37. Is p(-50) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 7) to base 15.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - 25 - (195 + -212)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-356)\/2225)\/((-20)\/(-25))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -36 - -72. Suppose -2*h = h - z. Suppose 0 = -u - 4*m + 15, -7*m = 4*u - 2*m - 27. Calculate the highest common divisor of u and h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 399399\/98*((-2)\/(-5) - (-154)\/165) a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 10, f: 4}. Give prob of sequence ssf.\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -23 + 28. Let j = q - 1. Is ((-1106)\/3)\/(j\/(-6)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3 - 15 = 0. Let u = 2 + 1.8. Let x = u + -4. What is the second smallest value in 0, n, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14750110489 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -10. Sort 11, 0, v in increasing order.\nAnswer: 0, v, 11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*c - c - 4, 4*v + 5*c = 4. Let r(h) = -2*h**2 + 2*h - 1. Let i be r(v). What is the units digit of ((-14)\/4)\/(i\/2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 + 2)*(-1)\/(-2). Let w be 5\/(1 + (0 - n)). Suppose -2*o + w = -u, -2*o = -5*o - 3*u + 21. Solve 4*y - o + 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 10\/3 + (-1)\/3. Suppose 2*v = 4*j, -2*v + q*j = 5*j + 24. Let n = v - -15. Is n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -5*o**3 + 4*o**2 + 3*o + 14. Let p(t) = -6*t**3 + 3*t**2 + 2*t + 13. Determine -3*p(v) + 2*z(v).\nAnswer: 8*v**3 - v**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (70*45\/37800)\/(2\/168)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.5 in 2, -0.2, -0.035?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -11? (a) 1\/19 (b) -58 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6757511, 13515024, 20272537, 27030050, 33787563?\nAnswer: 40545076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that 52*u**4 + 13148*u**3 - 15232*u**2 + 2032*u = 0.\nAnswer: -254, 0, 2\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 6, w: 4}. What is prob of picking 2 w and 1 n?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/21 of a week in hours?\nAnswer: 16","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 - 3. Let u be (r\/(-4))\/((-5)\/20). Which is bigger: u or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/8 of a millennium in years?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1494 divide 37409760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o**2 - 23*o + 44. What is p(8)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.093, 16, -0.87, 0?\nAnswer: -0.87","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/(-1)*(-3)\/6. Suppose -y - 2 + 8 = m. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 367, 771, 1175, 1579?\nAnswer: 1983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5368966 to the nearest integer?\nAnswer: 2317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 0*a = -4. Let c be -6*(-3)\/(-9)*a. Suppose -4*i - 2*h = 760004, 759990 = -4*i + 3*h + c*h. Round i to the nearest one hundred thousand.\nAnswer: -200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282*s - 37135 = -390*s - 9583 for s.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1104\/320)\/((-252)\/166). Let m = 1\/168 + z. Let s = 10767 - 258527\/24. What is the common denominator of s and m?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2473 + -2471. Let x = 1 - -8. Solve 0 = 3*a + i - x, -4*a + 18 = -a - t*i for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (9 - (29 + -8)) + ((-10)\/(-24))\/(12\/234)?\nAnswer: -31\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-620)\/(-744)*12\/15?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1046*f + f**3 + 516*f + 511*f - 4*f**2.\nAnswer: f**3 - 4*f**2 - 19*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -3022?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 161244 is divided by 32245?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-6)*(-12)\/208*-2?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 b and 1 y when three letters picked without replacement from bybbbbbbybbbbbbbbbbb?\nAnswer: 51\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 - -19694370318.\nAnswer: 19694370322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 598554, 4788801, 16162334, 38310795, 74825826, 129299069?\n\"Answer: 598607*i**3 + i**2 - 5*i - 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put together 209.11 and 0.056.\nAnswer: 209.166","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7567*b + 7 - 7 - 22731*b + 7580*b + 7582*b.\nAnswer: -2*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = s + 4*y - 12, -5*y - 7 = -3*s. Let r(m) = 24*m + 2. Let w be r(s). Suppose 10*i - 8*i = 28. What is the greatest common divisor of w and i?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-56313*v + 56313*v + 9097*v**4)*(-1 - v + 3 + 2*v) + 0 - v**5 + 0.\nAnswer: 9096*v**5 + 18194*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 41181?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 p when three letters picked without replacement from {p: 2, v: 5, r: 5}.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 11 - 3. Suppose 93 = 2*b + 23. What is the remainder when b is divided by y + (-3 + 4 - -1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -13 + -1. Let d = 42 + o. Suppose -3*n + d = -n. Calculate the highest common divisor of n and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (11\/2 + -4)*1 - 3629\/(-1146).\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4235 - 31*p + 2117 + 2117 to the form q*p + j and give q.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20 = -4*o - 0. Let r(x) be the first derivative of -1\/6*x**4 + 1\/3*x + 1\/3*x**2 - 1\/15*x**o + 0*x**3 + 3. Solve r(p) = 0 for p.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 149 + -142. What is the second derivative of 491 - p*v - 32*v**2 - 491 - 24*v wrt v?\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1 - -3 - 1)*(-12)\/(-9). Sort 7, -5, a.\nAnswer: -5, a, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -12 and 3.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-9)\/(-2) + 1\/2. Suppose 4*v + f = -11. Put 0, -1, v in descending order.\nAnswer: 0, -1, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - (12 + -12)) + -3 - 17 - 49.\nAnswer: -74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*p = 5*t + 15, 0 = 2*p - 3*p - 4*t - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jtjjhxaixtatattjjjx. Give prob of picking 1 h, 1 i, and 2 j.\nAnswer: 5\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -17.6 + 19. Let g = -0.9 + d. Let f = 0.92 - -0.08. What is the biggest value in -1\/6, 4, g, f?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-2*b**2 - 34*b**2 - 8*b**2)*(-b + 0 + 0) + 4*b**3 + 4*b**3 - 2*b**3 + (-4*b + 3*b - b)*(-4*b**2 - b**2 + 4*b**2))*(1 + 2 + 0).\nAnswer: 156*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v**3 - 3*v**2 + v - 1. Let j be n(3). What is the second derivative of 5*b**3 + 0*b**3 - 145*b - 38*b + 50*b - 3*b**j wrt b?\nAnswer: 30*b - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 248\/11, 1\/4, -49, 1\/3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -43952 - -44082.628. Let z = k - 132. Round z to one decimal place.\nAnswer: -1.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*g - 155 + 101 = 0. Let f(x) = x**3 - 4*x**2 - x + 4. Let w be f(4). Put w, 3, g in descending order.\nAnswer: 3, w, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = u**3 + 11*u**2 + 21*u + 73. What is p(-11)?\nAnswer: -158","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 137 + 2?\nAnswer: 139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-1075000)\/3)\/(6\/72). What is c rounded to the nearest 1000000?\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85898 is divided by 7807?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 739889.\nAnswer: 37, 19997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 60*q**4 - 51 wrt q?\nAnswer: 240*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/9687 and 143\/96.\nAnswer: 309984","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 5*q**2 + 79*q + 86. Let z be k(-1). Solve 2*a = -d - 2, z = -4*d + 9*d - a for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 5*l + 1. Suppose 5*g = l*g + 40. What is the tens digit of (26\/(-5))\/((-2)\/g)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (60\/(-5))\/(4*(-91)\/(-325))?\nAnswer: -75\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5296 a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 + 6 - 1 - 4) + 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 divided by 3?\nAnswer: -68\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5244429947?\nAnswer: 397, 13210151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*w = -3 - 19, -3*w - 2 = 5*i. Let l be ((-1)\/3)\/((-3)\/18). Let p(d) = -2*d + l*d + 3*d + 0*d. Calculate p(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of 0*h + 0*h**2 + 0*h**4 + 29\/5*h**5 - 4 - 13\/3*h**3. What is the third derivative of f(n) wrt n?\nAnswer: 696*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1125 at most 1129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -67*c**2*q**6 + 96*c**2*q**2 - 7*c*q**2 + 8*q**4 - 2*q**2 wrt q.\nAnswer: -8040*c**2*q**3 + 192*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 440 divide 16586680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**2 - 5*g - 2. Let x be j(9). Suppose -x + 28 = -3*t. Let h(r) = -r**3 - 4*r**2 - r - 4. Let q be h(-4). Solve -4*f + t*f = q for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -42*h + 44*h - 142. Calculate the remainder when 395 is divided by h.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 20*c**2 - 14*c - 2. Let i(w) = 1 + 1413*w**2 + 0 + 5*w - 1420*w**2. What is -3*f(s) - 8*i(s)?\nAnswer: -4*s**2 + 2*s - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 11*v**3 + v**2 - v. Let i be n(1). Let t(a) = 4*a - 22. What is the remainder when (12\/(-6))\/((-1)\/i) is divided by t(7)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 136 = 4*x, v - 171 = -3*v + 3*x. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 5*p - 9, 3*k + 9 = 2*p + p. Let a be k\/3 - 1578\/18. Let g = -14 - a. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 3*l = 17. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**33\/n))**(-6) assuming n is positive.\nAnswer: n**186","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8630?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b**(-3\/4)\/b**(-1\/6)*b**5\/b**(1\/5))**(-17) assuming b is positive.\nAnswer: b**(-4301\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -337 in -2\/7, 0.1, -19, 4\/9?\nAnswer: -19","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 80.\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.115 or -0.0074?\nAnswer: 0.115","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 12:02 AM?\nAnswer: 10:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -9162*b**2 + 4*b + 6. Let h(q) = 9166*q**2 - 5*q - 7. Determine -4*h(m) - 5*r(m).\nAnswer: 9146*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*v - 4*v + v + v**2.\nAnswer: v*(v - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, d: 1, t: 3}. Give prob of sequence db.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is ninety-one halves of a litre in millilitres?\nAnswer: 45500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a**2 + 3*a**2 + 3*a**2)*(-3 + 1 + 4) + 3*a**2 - a**2 - a**2 + 0*a**2 + a**2 + a**2 - a**2 + 2*a**2 + 5*a**2.\nAnswer: 11*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 986 and 928?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.209 - 17.991. Let k = 34493.8267927 - 34512.0268. Let h = k - b. What is h rounded to 6 decimal places?\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w + 5. Let t be l(-8). Let f = t - 8. Find the third derivative of 6*b**5 - b**2 + f*b**2 + 5*b - 5*b wrt b.\nAnswer: 360*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(-4)*k)**(-49)*(k*k\/(k\/(k*(k*k**(-2\/9)*k)\/k)))\/k**(-2\/49) assuming k is positive.\nAnswer: k**(44461\/441)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5*k - 39 = -61, 5*k + 10 = 0. Suppose 6*r - 27 = 9*r. Is r smaller than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 25 divide 709099?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 120*i**3*n*w - 23*i**3*n + 206*i**3*w - 4*i**3 + 4833*i**2*n*w + 1869*i**2*n + 4*i**2*w + 2*n*w + 2*w wrt i?\nAnswer: 720*n*w - 138*n + 1236*w - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 7:12 PM?\nAnswer: 5:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(76) + sqrt(76)*4)*-5 - sqrt(76) - sqrt(76)))\/((sqrt(196) - (sqrt(196) - -1*sqrt(196)*3)) + sqrt(196)).\nAnswer: 81*sqrt(19)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 3*x - 3. Let t(u) = u - 2. Let k(b) = 3*q(b) - 5*t(b). What is the units digit of k(2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 15*r**3 + 2*r**2 - 10*r + 2. Let c(a) = 15*a**3 + 3*a**2 - 9*a + 2. Let j(d) = -3*b(d) + 2*c(d). What is the second derivative of j(v) wrt v?\nAnswer: -90*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.28 in 1\/19, 2, 3, -70, 0.1?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3448 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3 = i - 16, 0 = -4*i + 5*p - 8. Let t(f) be the second derivative of 0 - f + 0*f**2 + 1\/40*f**5 - 1\/12*f**4 + 1\/12*f**i. Solve t(y) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-3)\/(-12))\/(1\/8). Suppose -l - 209 = -v*b, 2*l = 5*b + 7*l - 545. Round b to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of 17*l**5\/20 + 27*l**2 - l + 42. What is the derivative of k(m) wrt m?\nAnswer: 51*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 242664 is divided by 62.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = 25*r**2 + 2*r. Let m(d) = -1. Let p(v) = 44*v + 397. Let i be p(-9). Determine i*a(x) + 2*m(x).\nAnswer: 25*x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 divided by -20311?\nAnswer: -4\/20311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 85201140 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43 - 43 + 191 - 56 - 49 + 48*x + 120*x.\nAnswer: 168*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 1051?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m + 3*u + 58 + 45, 4*u = -12. Calculate the remainder when m is divided by ((-8)\/6)\/(6\/(-63)).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 5 (b) 0.4 (c) 0.2 (d) 69 (e) -4868.78\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 871 = k + 235. Let d = k - 184. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -73, 19, 5\/3, -0.09.\nAnswer: -73, -0.09, 5\/3, 19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 169*732\nAnswer: 123708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dhddhdxxxdhddqdxv. Give prob of picking 1 h, 1 x, and 2 d.\nAnswer: 12\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*m**2 + 3*m**2 - 4*m**2 + (-6*m + 11*m + 3*m)*(-5 + m + 5) - 16*m**2 - 829*m + 829*m to the form q*m**2 + o + f*m and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = 50*l + 6. Let o(p) = -p + 2. Calculate -6*o(q) + 2*x(q).\nAnswer: 106*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4067 and 14515621?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iibwpipbgccpbbp. Give prob of sequence wcbi.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 31\/5 of a century?\nAnswer: 62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -41, -49, -69, -107, -169, -261?\n\"Answer: -c**3 - c - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (2 + 0 - 5) + 1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 25 = -10. What is the tens digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(13)*-1*-1)**2 - sqrt(13)) - (((sqrt(26)\/(sqrt(6)\/sqrt(3)))**2 - sqrt(13)) + (sqrt(1872)*-2)**2).\nAnswer: -7484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*j - 13*j + 121896. What is the thousands digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (-15 - -4) - -1*(7 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.868 or -4173?\nAnswer: -0.868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 246 + 15b2?\nAnswer: 17f8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*y = 11*y - 15. Let w(s) = s**2 - s - 5. Let r be w(6). Suppose -y = -4*b + r. Is b a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -475 - -630. Differentiate r*c**3 - 8*c**3 + 125 + 11*c**3 wrt c.\nAnswer: 474*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19 = -5*g + 1 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -10*p**3 - p**2 - 2*p - 1. What is the remainder when 59 is divided by d(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkbkkkb. Give prob of picking 1 b and 1 k.\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o**1)**20\/(o**(2\/7))**(-17))\/((o**5*o)\/((o\/(o*o\/o**6))\/o)*(o*o**(2\/5)*o)**38) assuming o is positive.\nAnswer: o**(-1692\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3.87 times 0.1\nAnswer: 0.387","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 186762?\nAnswer: 2, 3, 17, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 207 minutes before 5:52 PM?\nAnswer: 2:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.602 + 0.758. Let h = n + -4.56. Sort -22, 0.1, h, 3.\nAnswer: -22, h, 0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from niinnininiini. Give prob of sequence iiin.\nAnswer: 21\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*0.11987084.\nAnswer: 0.05993542","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 9 + -5 + (-27 - -40)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -74 divided by 11.\nAnswer: -74\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -148. Is q a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2066*c**2 + 33*c**2 + 751 - 362 - 389)*(2*c - 3*c + 0*c).\nAnswer: -2099*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 1:56 AM?\nAnswer: 588","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 110 and 60?\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1173085332?\nAnswer: 2, 3, 433, 225767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 2 t when three letters picked without replacement from tlotttoltlllltltlt?\nAnswer: 7\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*m**2 + 1683*m - 892*m - 791*m.\nAnswer: -14*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.5*-2053549\nAnswer: 1026774.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4137875 is divided by 49?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s*s*s*(s*s**(-8)*s*s)\/s)\/s*s*s**(-3)*s)**27 assuming s is positive.\nAnswer: s**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 5, s: 3, v: 3, i: 6}. What is prob of sequence dvs?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 9*i. Let g(l) be the second derivative of -1\/6*l**3 + 0 + 18*l + 0*l**2. What is g(n(j))?\nAnswer: -9*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jh when two letters picked without replacement from {j: 4, h: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -3*u**2 - 128*u - 60. Let n be o(-42). Solve 124 = n*j + 28 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine f, given that -4*f**2\/7 + 1814520*f\/7 - 205780176900\/7 = 0.\nAnswer: 226815","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4.33 - 1.26. What is f rounded to 1 dp?\nAnswer: 3.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 83 a factor of 3320?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g - 3*q = 5, -5*g = -5*q - 2 - 3. Let o be 26\/6 - (-1)\/(-3). Let c = g + o. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53242608 divided by 4?\nAnswer: 13310652","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + -5*(sqrt(13) + (-5 + sqrt(13))*4) + -1 + (sqrt(104) + sqrt(104)*-3)\/sqrt(8) + -5.\nAnswer: -27*sqrt(13) + 92","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*n**2 + n - 14 - n**3 + 23 - 9 as c + r*n + j*n**2 + a*n**3 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f = 25, -372 = -5*c - 3*f + 33. Suppose 4*a = -0*x - 2*x + c, -5*x - 90 = -5*a. What is the remainder when 53 is divided by a?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7, -23, -45, -73?\nAnswer: -107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*h - 14 = 5*l - 7 + 6 + 6, -20*h = 40 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (220\/(-550))\/(8\/30)\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 2. Solve i + b = -2*v, -15 = -v + 4*i - i for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2294670\/(-99) + 4\/6. Let b = g - -1640425\/88. Let x = b - -4530. What is the common denominator of -57\/10 and x?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0, -27761, 1\/2, 1, 0.09?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.062753 rounded to 3 dps?\nAnswer: -0.063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -79*j**3 - 39*j**2 + 9*j?\nAnswer: -474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4*r + 14 = 0, -5*k - 53 = -5*r + 2*r. What is the remainder when 284 is divided by ((-10)\/(14\/(-7)))\/(k\/(-12))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2488905 smaller than 2488905?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -54*s + 525126 - 170022. Is s a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 3) to base 5.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrtrrrrtrrrtrc. Give prob of sequence rrr.\nAnswer: 33\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*d - 69 = -33 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 7*c - 49*c + 6*c + 18*c + 15*c. Let a(k) = 194*k**2. What is a(h(l))?\nAnswer: 1746*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -28 - -24.9. Let l = 3 + c. Let g = 0.2 + l. What is the nearest to g in -1\/2, -1, 5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 340*x - 338*x for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 60 and 18660?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 1. Let s be d\/(-3 - -5) - -3. Solve -s*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -1, -7 in increasing order.\nAnswer: -7, -4, -2, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80313060?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -12576*o + 12585*o - 79 - 407. Calculate the remainder when 389 is divided by o.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3696\/67 or 54?\nAnswer: 54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 208182 by 104091.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 43 - 91. Let d be 150\/f + 3\/24. Let o(q) = -10*q + 10. Let x(r) = -2*r + 2. What is d*o(g) + 16*x(g)?\nAnswer: -2*g + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.0122 + -0.012200609. What is s rounded to seven dps?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + l - 3*l = -92, 3*l = -3*q + 48. Calculate the least common multiple of 2 and q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*j - 2*j - 114 + 3*j + 3*j**2.\nAnswer: 3*j**2 + j - 114","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j**2 - 2*j - 3. Let q be u(-2). Let x be 1 + -5*(4 + q). Is -22*(38\/x + 1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = 5*w**2 - w - 4. Let s(v) = 5*v**2 - v - 5. What is 3*j(p) - 2*s(p)?\nAnswer: 5*p**2 - p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 196 is divided by 62.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -40\/22476373?\nAnswer: -40\/22476373","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 5*d**2 + 21*d + 20. Let c be z(-8). Let u be (2 - 0)\/(c\/(-36) - -1). Is u > -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(-2)*f**6)**24 assuming f is positive.\nAnswer: f**216","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -45414, -5, 0 in ascending order.\nAnswer: -45414, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -234211 + -15?\nAnswer: -234226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is (-141004310)\/258*(210\/(-25))\/7 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11132 is divided by 293?\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7579576646545 + 1.8.\nAnswer: -7579576646543.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 932960309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((z*z\/(z\/(z\/z**(-5))))\/z**(-2\/3))**(4\/9))**32)**(10\/9) assuming z is positive.\nAnswer: z**(29440\/243)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1777, -3, -173\/47?\nAnswer: -1777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 468657.\nAnswer: 3, 7, 43, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -34, -4 in descending order.\nAnswer: 3, -2, -4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 7 + (6 - (1 - (-2 + -8))) + -16\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 692545 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -a**2*g**2 - 2*a**2*g + 4*a*g**2 + 55*g**2 + 4 wrt a?\nAnswer: -2*a*g**2 - 4*a*g + 4*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 2550207 (base 9) in base 14?\nAnswer: 282d65","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 2\/5*s**4 + 14\/5*s**2 - 16\/5*s**3 + 0*s.\nAnswer: 2*s**2*(s - 7)*(s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -392, -391, -390, -389, -388?\n\"Answer: n - 393","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*t + 12764 = 171*t - 52993 - 4766 for t.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 101335 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:46 PM and 7:27 AM?\nAnswer: 581","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*2*(sqrt(1377) + 1).\nAnswer: 2 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.3 - 4.7. Let h = n - 2. Let k = -8.3 - h. Which is the third smallest value? (a) k (b) 2\/9 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1\/3, -3, 7, 147?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.3 (b) -2 (c) -12.16 (d) -30 (e) -5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -36 + 6 + 36*x - 57 + x**2 + 10. Let b be u(-38). Sort 0, b, -2.\nAnswer: -2, b, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9134 + 9104. What is the third biggest value in z, -13\/4, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -81.7899 + -0.0101. Let v = 82 + p. What is the smallest value in v, -4, 3\/8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 5 + (-153)\/30 - (-77)\/20. Factor -s*p - 1\/4*p**3 - 7\/4*p**2 - 9\/4.\nAnswer: -(p + 1)*(p + 3)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 + 0.8. Let l = n + -1.5. Let r = 0.11 + -0.01. What is the closest to r in -0.1, 5, l?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in 2, 1\/158, 14, -2\/5, 1.62, 1\/2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 95 is divided by 11.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes after 8:15 PM?\nAnswer: 11:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 5149.995286 + -5150. What is n rounded to three dps?\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + (230 - 235 - (0 - (66 - 6)))?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o. Let c be n(1). Suppose 0 = c*k - 2*k - 2. Suppose -5*a = -3*r - 55, -k = -a + r + 12. What is the highest common factor of 4 and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 33*h**3 - 35*h**3 - 103 + 0*h + 0*h + 0*h**2 + 4*h**2 as y*h**3 + s*h + d*h**2 + u and give u.\nAnswer: -103","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 12824.\nAnswer: 1\/3206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of 273621 and -0.1.\nAnswer: 273620.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1801 - 1801. Factor -1\/7*p**2 + 1\/7*p**3 + 0*p + b.\nAnswer: p**2*(p - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/7))**31\/(i*i*i**0*i*i**(-2\/3)) assuming i is positive.\nAnswer: i**(-235\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 3\/2*9\/(162\/(-24))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add -116381 and 0.1.\nAnswer: -116380.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1069?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d + 56 + 2. Let s be d\/(((-2)\/8)\/1). Let p = -67 - s. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5494*x - 3 - 1830*x - 1834*x - 1836*x - 2.\nAnswer: -6*x - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 25146 and 2287296?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416390 to the power of 1\/2, to the nearest integer?\nAnswer: 645","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 28 - 3 - 34 - 27.\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5872?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 11115243 (base 6) to base 11\nAnswer: 210091","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 504755429 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33*f**2 + 4849*f - 14*f**2 + 0*f**4 - 4850*f - 2*f**4 - 1 to the form a*f**2 + u*f + s*f**4 + k + l*f**3 and give a.\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (-12 + 5 + 0 + 0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/(-48)*24\/90*2\/1\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = -j**2 - 29*j + 1490. Determine o(-55).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*k**6 + 17*k**5 + 116*k**3 - k**2 - 1046*k wrt k?\nAnswer: 600*k**3 + 1020*k**2 + 696","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**3 + y**2 - 2. Let h be r(-2). Let m = h - -7. Determine c so that 21*c**3 + 4 + m + 9 + 15*c**2 - 2 - 48*c = 0.\nAnswer: -2, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 4*o - f + 3*f, 3*o + 3*f + 9 = 0. Solve 4*k - k - 15 = o for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 174741 and 149778?\nAnswer: 1048446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -17*b*i - 31457*b*o**3 - 48*i*o + 29*o**3 - 64*o**2 + 2*o - 1 wrt b?\nAnswer: -17*i - 31457*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 34476 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*v**3 + 30*v**2 + 21*v - 588.\nAnswer: -3*(v - 7)**2*(v + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + m = 2510, 4*m = -0*m - 20. Let b = -2527\/5 - p. Which is smaller: -1\/4 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i**3 - i**2 + 62*i + 208. Calculate g(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -8*g**2 + 169*g - 25. Determine a(21).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = h**3 - 4*h**2 - 7*h + 5. Let w be l(5). Let z(t) = t**3 + 4*t**2 - 6*t. Let p be z(w). Suppose 3*x - p = 61. Is x a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19 + 19.2. Sort a, -0.1, -5.\nAnswer: -5, -0.1, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = -1. Let x be (-14)\/35 - 14\/(-10). Let d(a) = 475*a. Let b(p) = 34*p. Let k(v) = 14*b(v) - d(v). Calculate x*k(l) - 3*u(l).\nAnswer: l + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 65830?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 7, k: 1, l: 2, i: 6, b: 2}. Give prob of picking 1 k, 2 l, and 1 b.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/2054360 and 127\/8590960.\nAnswer: 94500560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-14)\/7 + (-67)\/(-34). Suppose 0 = 2*n + 1 + 5. Let d be (-6)\/(-3) + n + 4 + -3. Is d bigger than k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -13*g*h**3*i + 2*g*h*i - 8*h**3*i + h wrt h.\nAnswer: -78*g*h*i - 48*h*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwwe when four letters picked without replacement from {e: 3, w: 12}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 2*x = 72. Let c = 9 + x. Let m be (-1)\/2 + c\/(-6). Which is bigger: m or 3?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) be the second derivative of d**4\/3 + 7*d**2\/2 + 9*d. What is the derivative of v(c) wrt c?\nAnswer: 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 136 = 8*b - 4*b. Let f = 85 - b. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 56510625?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 + -6. Suppose 0 = 159*i + 18 + 24 - 201. Put w, i, 0 in descending order.\nAnswer: i, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5*sqrt(3087) - (sqrt(3087) + -4 + 0).\nAnswer: 5 + 84*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 15 = 10*y. Which is the nearest to -1? (a) y (b) 1 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1b58aa (base 12) to base 10.\nAnswer: -486850","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 8*g*l*y - 2*g*l - g*y + 3743*g + 6077*l*y - 130*y + 1 wrt g.\nAnswer: 8*l*y - 2*l - y + 3743","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -219, -570, -1053, -1668, -2415, -3294, -4305?\n\"Answer: -66*g**2 - 153*g","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 + 7 + 3 + 0 + 0?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-3)\/(-5)*(-830)\/(0 - 2). Let a = -101 + k. Is 34 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*w = 30478 - 31468 for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 59 = -q - 3*c, 4*c + 42 = 2*q. Suppose 2*r + 39200002 = -2*s, -6*r - 5*s + 97999995 = -q*r. What is r rounded to the nearest 1000000?\nAnswer: -20000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**2\/7 - 89049*s\/7 + 25047948\/7.\nAnswer: 3*(s - 29399)*(s - 284)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 5*q + 28. Let k(a) = a**3 - 5*a**2 + a + 7. Let c be k(4). Let p be y(c). Solve 2*w = -m - 3, -p*m + 4*w + 2 + 29 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 740 = -57*x + 121 + 49 for x.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = 2*n - 5, -3*l + 106 = 4*n. Calculate the highest common factor of 70 and l.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3245.\nAnswer: 5, 11, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 94*s - 15*s + 31*s + (2*s - 1 + 1)*(1 - 4 + 8) + (-4 + 3 + 2)*(s + 0*s + s) to the form p + y*s and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that 232 + 547 - 3040*c + 1284*c**2 + 152*c**3 + 4*c**4 + 821 = 0.\nAnswer: -20, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 48 + -48. Put -0.5, 19, o in increasing order.\nAnswer: -0.5, o, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -20*n**3 + 23*n**2 - n - 1. Let s(a) = 7*a**3 - 8*a**2. Let m(x) = 6*d(x) + 17*s(x). Let w(q) = -q**3 + 2*q**2 - 7*q - 7. Calculate 7*m(c) - 6*w(c).\nAnswer: -c**3 + 2*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 11 and 3036.\nAnswer: 3047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (38 + 56 - 35 + 48)*(y - 3*y - 2*y - 2*y + 0*y + 0*y + (-y + 0*y + 0*y)*(-3 + 1 + 3) + 2*y - 3*y + 0*y + 2*y - 3*y + 3*y - 28*y - 24*y + 53*y).\nAnswer: -535*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 729 - 609. Calculate the lowest common multiple of o and 225.\nAnswer: 1800","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49994100269 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 10100100 (base 2) to base 8\nAnswer: 244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 48.523098 - 203.569225. Let u = 166.04621 + j. Let w = 11 - u. What is w rounded to five decimal places?\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 2:36 AM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4 - 1. Suppose 2*n + i = 5. Solve -2 = -k, 0 = n*g + 5*k - 4 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nnuuupuunuununup. What is prob of picking 2 u?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 (base 10) in base 6?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0 - 205620669796173.\nAnswer: -205620669796173","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-1)\/(-9) - (-12)\/54. Which is the third biggest value? (a) -1 (b) 0.09 (c) q (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 + z**2 + 7*z - 61. What is i(4)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 598*k - 4002 = 569*k. Solve -446*s + k = -423*s for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 36995 is divided by 127?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -39 + (2 + -1)\/((-3)\/(-9)). Let d = b + 39. Suppose d*a = 159 + 51. Does 14 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, 10\/3, -87, 5, -2, 2\/9.\nAnswer: -87, -2, 2\/9, 0.4, 10\/3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 + 101096*j + 20*j**2 + 6*j**3 + 7*j**3 - 101095*j to v*j**3 + d*j**2 + t + w*j and give v.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/(-12))\/((-1)\/4). Let f(x) = -x - 3. Let h be f(-7). What is the greatest common divisor of h and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -33 + g**2 + 24 + 3*g**2 - 7*g**2 - 14 to j*g**2 + k + v*g and give j.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/92096873 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) -9\/10 (b) -2 (c) 1\/5 (d) -2375 (e) -2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = i**3 + 6*i**2 - i - 4. Let m be h(-6). Let s = m - 4. Let t = 20 + -98\/5. What is the nearest to t in -1, 1, s?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 798 and 1064?\nAnswer: 266","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 705 and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 189\/756*3*20?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -464.1 - -86.1. Let y = z + 378.00000518. What is y rounded to six decimal places?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 85, -1, -87, -173, -259, -345?\nAnswer: -431","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - (-3 + 2) - -7) + 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 242 and 344608?\nAnswer: 242","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-80)\/(-60)*90\/20)\/(95\/10).\nAnswer: 12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1927 + 15367\/8. What is the common denominator of 119\/18 and g?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 143*j + 157*j = 88*j + 1464 + 868 for j.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = 10*v - 4*v + 1 - 2. Let g be c(1). Solve 0 = -3*w + 5*x + 8, 6*w - 3*w + g*x = -32 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8 + 10 - 4 - 1916*k + 2.\nAnswer: -1916*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2572 + 2572.4. Let w be 2\/(-1)*(1 + -2). Sort 0.04, 5, w, q in ascending order.\nAnswer: 0.04, q, w, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 176478?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 419799?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 8, u: 2}. Give prob of picking 2 u.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 52674.64mm?\nAnswer: 52.67464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 182 + -176. Suppose -s*z + 7479 = -6999. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 1. Let n = 261 - 262. Let u(t) = -t + 10. Let y(p) = n*w(p) - u(p). Calculate y(-5).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 o and 3 e when four letters picked without replacement from {e: 7, o: 6}?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 38, 72, 106, 140?\nAnswer: 174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8411971261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.04034 rounded to 3 dps?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 87*x - 676*x - 36925 + 407 for x.\nAnswer: -62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7 = -b - 4*o, 45*b + 3*o = 44*b + 4 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -56 + 65. Solve -n*l = -10*l + 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gggggsvsss. What is prob of picking 1 s, 1 g, and 1 v?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/(-12) - 16\/(-6). Solve 0*j - p*j = 2 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 divided by 10050383\nAnswer: 1\/10050383","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 9, b: 9}. Give prob of sequence ccbc.\nAnswer: 21\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25073\/70 + -3579\/10. Let w = -52 + 368\/7. Which is the closest to -1\/4? (a) r (b) 5 (c) w (d) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 315032?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -76, 0 in descending order.\nAnswer: 5, 0, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 1:48 AM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*s**4 + 0*s**2 - 6*s**3 - 8*s**4 - s**3 - s**2 - 29*s + 2*s**3 as g*s**3 + o + x*s + q*s**2 + y*s**4 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4 + 2 = 0. Suppose r*k - 30 - 6 = 0. Does 15 divide 752\/k - (-4)\/12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1*0\/1)\/(45\/45)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -34*h**2 - 34881*h + 34881*h + 10*h**2. Let z(v) = 10*v. Give z(x(p)).\nAnswer: -240*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 5 - (-2 - -4) - 3\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1363 or -1535?\nAnswer: -1535","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + 2*1*(sqrt(136) - -5*((sqrt(136) - (sqrt(136) - sqrt(136)*-2)) + sqrt(136) + sqrt(136) + sqrt(136)))\/((sqrt(160)\/sqrt(4))\/sqrt(5))*-3)*5.\nAnswer: -180*sqrt(17) + 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 29 - 34 + 3*t**2 - t**2. Let v(f) be the first derivative of -1\/3*f**3 + 9 + 0*f**2 + f. Determine 5*v(k) + x(k).\nAnswer: -3*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 30 and 230?\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -781121 (base 10) to base 5\nAnswer: -144443441","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 2, c: 1, u: 1}. Give prob of picking 1 u and 2 e.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l - 3*t = -92, 4*l + 402 = -5*t. Let y = -688\/7 - l. Let u = -4.88 + -0.12. Which is smaller: y or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-201)\/(-536) + 6396\/96?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.657 - -0.757. Which is greater: h or 89\/5?\nAnswer: 89\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -81, -2, -8 in decreasing order.\nAnswer: -2, -8, -81","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -9520, -19044, -28568, -38092, -47616?\nAnswer: -57140","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/(a*a**1)*a)\/a*a*a**7*a*a)\/(((a*a**(-7)\/a)\/a)\/(a*a\/a**(4\/5)))*a**(-3\/7)\/((a**7*a)\/a)*(a**1)**(-2\/17) assuming a is positive.\nAnswer: a**(6339\/595)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**3\/6 + f**2\/2 + 12*f. Determine i(2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 1)\/((-3)\/(-2)). Let l = h + 3. Suppose -o + l + 0 = 0. Which is smaller: 0 or o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-47 - (11 + -16)) + 33\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 32 + -26. Let i(w) = 2*w**2 - 9*w + 13. Let o be i(c). Suppose -5*t = -4*z - 261, -o = -3*t + 4*z + 124. What is the units digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = t + 1. Let n be f(-2). Let q be ((-2 + 2)\/n)\/2. Solve q = p + 2*c - 13, -p + 18 + 0 = 3*c for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*1*sqrt(833) + sqrt(833) + sqrt(833) - (-2*((1 + sqrt(833) - sqrt(833))**2 + sqrt(833)) + sqrt(833) - sqrt(833)) - (-2 + sqrt(833) + 0 + sqrt(833))*6.\nAnswer: -21*sqrt(17) + 14","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, r: 2, p: 1, x: 1}. What is prob of sequence grp?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 at most as big as 2635860?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:21 PM and 9:25 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 7 + (-209)\/(-38)*(-24)\/(-22). Let t = 17 + -35. Let i = r + t. Put 8, i, -3 in increasing order.\nAnswer: i, -3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r*r**(-2\/3)*r)\/(r\/(r*r\/r**1)))\/(((r\/(r**(2\/5)\/r)*r)\/r)\/r)**(-2\/11)*(r**(3\/2)\/r*r**(-6\/5)*r)**(-30\/13) assuming r is positive.\nAnswer: r**(3754\/2145)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 2*m**3 + 78*m**2 + 83*m + 269. Let u be x(-38). Factor -2\/7*w**2 + 2\/7*w**u + 0 + 0*w.\nAnswer: 2*w**2*(w - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -2*t**3 + 8*t**2 - 6*t + 7. Let i be l(4). Let h(f) = 9*f**3 - 17*f - 3. Let q(n) = 3*n**3 - 6*n - 1. Determine i*q(g) + 6*h(g).\nAnswer: 3*g**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103 = 4*r + 11. Let k(s) = 2*s - 4. Let b be k(4). Let j = r - b. What is the units digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**15*l))**34\/(l*l\/(l*l**(-8)\/l*l*l)*l)**37 assuming l is positive.\nAnswer: l**(-843)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**3 + 290*a**2 - 601*a - 257210. What is f(-289)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y - y - 4*y)*(-y**4 + 131*y - 131*y).\nAnswer: -2*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -319912, -320064, -320216, -320368?\nAnswer: -320520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 55.9 - 56.393. What is o rounded to 2 dps?\nAnswer: -0.49","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*b + 3*z = -11 + 26, 3*b = 3*z - 15 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.06 and -7028.8171?\nAnswer: 7028.7571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1 + 2. Let z = 2823 + -2823. Which is bigger: z or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 8*i. Let o(m) = -2*m - 1. Let d(x) = k(x) + 5*o(x). Let l(p) = -p**3 + 7*p**2 - 6*p - 6. Let j be l(6). Give d(j).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 4*m + 19. Let d(b) = -3*b - 13. Let t(g) = -7*d(g) - 5*y(g). Give t(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-552)\/1012 - 8152\/(-22). Calculate the highest common divisor of 1295 and i.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -172911 = -43*r + 363256. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of -t**6\/60 - 3*t**5\/5 - 11*t**4\/4 - 16*t**3\/3 + 4*t**2 - 5. Factor o(m).\nAnswer: -2*(m + 1)**2*(m + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2)*2*-3 - (sqrt(2) - (sqrt(2)*-1 + sqrt(2))*-4) - sqrt(22)\/(3*sqrt(11)*1)) + (-2*sqrt(16)\/sqrt(4) + sqrt(4))\/(-3*sqrt(72)))**2.\nAnswer: 17161\/162","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 + -12. Let f be -72 - -8 - 2\/(1 - g). Let z = f - -91. What are the prime factors of z?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -6 + 2 - 98\/(-21). Are h and -366 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*r - 115*r + 53*r.\nAnswer: 16*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 0 (b) -1\/6 (c) 0.41 (d) 5 (e) -35\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0 - -3. Let z be (s + -3)*2\/4. Put 1, 5, z in increasing order.\nAnswer: z, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3.6. What is the third smallest value in 1, -1\/5, 2\/3, k?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-3)\/j*j)\/(j\/j**(-5\/6))*(j**(-1))**(-2\/13) assuming j is positive.\nAnswer: j**(-365\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 24*i - 108. What is d(11)?\nAnswer: 156","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*d**4 - 5*d**4 - 1133*d**5 + 9*d + 1122*d**5 wrt d.\nAnswer: -220*d**3 - 96*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(110)*5 + sqrt(110))*-3)\/(-5*sqrt(110)\/(-2*sqrt(11) + sqrt(11))).\nAnswer: -33*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**(1\/11)*n)\/n*n)**33\/((n*n**(1\/11))\/((n*n\/(n**12\/n))\/n)))**36 assuming n is positive.\nAnswer: n**(22932\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*sqrt(448) + 3.\nAnswer: -8*sqrt(7) + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48 and 23\/8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i**3 + i + 4. Let j(d) = 19*d + 529. Let a be j(-28). Give b(a).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4)*62*2436\/67425.\nAnswer: -28\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -1455 (b) -2\/7 (c) -19 (d) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -5, -6\/5 in descending order.\nAnswer: 14, -6\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 968 divided by -22\nAnswer: -44","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = q**2 - 6*q + 2. Let s = -29 + 35. Let a be w(s). Let t(l) = l + 46*l**a - l - 45*l**2. Let x(o) = 3*o. Determine x(t(c)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -2) + -1 - -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -7*m + 8*m - 3*m + m - 29. Let d be n(-34). Let o(a) = a**2 - 8*a + 2. Determine o(d).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 2*x**3 - 4*x**2 + 10*x - 5. Let s = 88 - 72. Suppose 8*c - 12*c + s = 0. Does 9 divide v(c)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (29 - 4 - 0) + 62 + (-14 - 33).\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.8 - 12.8. Let c = 174059617 - 174059605.00000056. Let b = c + f. What is b rounded to 7 decimal places?\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 196384 and 2242?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.13258 to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11571 = 3*p - 24903. Is p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(((-32)\/(-12))\/(-4)). Put y, -1, 2, -4 in increasing order.\nAnswer: -4, -1, 2, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14 - 21 - -44) + 1 + -1 + -1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 - 4*d - 6. Let z(l) = l**2 + 3*l + 4. Determine 5*r(i) + 7*z(i).\nAnswer: 2*i**2 + i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1943 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.3 + -0.2. Let p = -162 + 164. Which is the second smallest value? (a) p (b) -2\/7 (c) r (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -2*f + 18. Suppose -c + 0 = f. Let m = c + 17. Is 5 a factor of m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 2.06 and -1.\nAnswer: 1.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1086.1 - 1041. Let j = -45 + u. Let p = j + -0.0999965. What is p rounded to six dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + 60.9.\nAnswer: 55.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/4, -92.5, 2\/3, -5, -0.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, -4, -2\/3 in increasing order.\nAnswer: -4, -2\/3, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1696160 or 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/4*s**5 - 1\/2*s**2 + 1\/2*s**4 + 0*s - 5\/4*s**3 + 0 = 0. What is s?\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 31 + -368?\nAnswer: -337","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-37 - -73) + ((-11 - -3) + -9 - -7)\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Factor -3*y**2 + 21*y - 18.\nAnswer: -3*(y - 6)*(y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 15190 and 668850?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, c: 7}. What is prob of sequence cc?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of u**8\/84 + 2*u**7\/21 + u**6\/6 - u**5\/3 - u**4 - 6*u**2 - 18*u. Find l such that p(l) = 0.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 973812052 a multiple of 8306?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 235845 is divided by 7606.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -960 + 243*q**2 + 1924 - 5*q - 965.\nAnswer: 243*q**2 - 5*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 2*d + 5*d = -9, 2*w - 2*d = 2. Let k(f) = f - w*f + 3*f - 2*f**2. Let i(y) = -2*y**3 - y - 1. Let u be i(-1). Give k(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -66922*v**5 - 1825*v**2 - 2*v.\nAnswer: -4015320*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m*m*m\/(m*m**(-1\/2))*m\/(m*(m\/((m**(-7)\/m)\/m))\/m)*m\/((m\/m**(-5\/4)*m)\/m)*m*(m*(m**4\/m)\/m)\/m assuming m is positive.\nAnswer: m**(-19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 19 - -1c63?\nAnswer: 1c7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 212, 855, 1896, 3317, 5100, 7227?\n\"Answer: -3*m**3 + 217*m**2 + 13*m - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*sqrt(84)*-2*5)\/((sqrt(12) + sqrt(12)*-2*-1)*2).\nAnswer: -20*sqrt(7)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -10 + 6. What is the units digit of p\/10*45\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37030674, 74061342, 111092010, 148122678, 185153346?\nAnswer: 222184014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y - y - y)*(-2*y + 6*y - 5*y)*(0*y**2 + y**2 - 5*y**2) + y**4 - y**4 + y**4 + (3*y**2 + 0*y**2 - 5*y**2)*(19426*y - 19426*y - 132*y**2).\nAnswer: 241*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44)\/(5544\/162))\/((-4)\/7)?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3462 is divided by 860?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 38905179 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: Let f = -40648 - -80331. Let p = -6317 - f. What is p rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1637*o = 4*q - 2*q + 1640*o + 11, -o - 3 = 0 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15\/2 + -7. Let c = 0.138 + 2.862. What is the closest to f in c, 2, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 12*v**4 - 19936100*v**3 - 135*v**2 + 35843.\nAnswer: 288*v - 119616600","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1053) - (-2*sqrt(1053) + 0)) + -5.\nAnswer: -5 + 27*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m and 1 z when two letters picked without replacement from {m: 1, x: 2, z: 3, d: 6, w: 3}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of j**5\/20 - j**4\/2 - j**3 - 11*j**2\/2 - 89*j - 60. Suppose 11 = a - 0*a + 2*w, -3*a - 2*w = -25. What is o(a)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-190)\/4)\/(35\/(-308)). What is the greatest common factor of v and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -15*c + 18. Let a be t(3). Let n(p) = 4*p + 139. Let b be n(a). Calculate the greatest common divisor of 1 and b.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-14)\/(-4)*-2 - 3. Let r be v\/20*8\/(-2). Let z(p) = p - 1 - 3 - 1 + 2. Give z(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 45*b**3 + 2*b**2 + 2*b - 1. Let o(y) = -y**3 - 13*y**2 + y + 15. Let m be o(-13). Let x(p) = p. Let l be x(m). Is q(l) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4058 is divided by 87.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-32)\/6*(-16)\/((-64)\/(-3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 166.76267 less than -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8137*q**5 + q**4 + q**2 - 2054*q + 4?\nAnswer: -488220*q**2 + 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - 2 - 0\/(-2). Suppose -2*k + 24 = -2*c + 3*c, -k = 4. Let p = c - s. Calculate the remainder when p is divided by 12.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of -3 - -439 - -2 - (-6 - -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -470, -942, -1416, -1892, -2370?\n\"Answer: -y**2 - 469*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 437, 448, 473, 518, 589?\nAnswer: 692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 > -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 5*b = 0. Let u(j) = 2*j - 3. Let x be u(4). Suppose b = -x*h, 2*h = 5*r - 3*h - 145. List the prime factors of r.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-8 - (-12 + 5)) + (3 - 12). Put -20, y, 2 in decreasing order.\nAnswer: 2, y, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*n + 14 = -11*n. Suppose n*h = 6*h + 133. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 550 = 13*m + 550. Let s(t) = t**2 - 3*t - 10. Suppose -3*n = 2*n + 4*o - 19, 3*n + 5*o - 1 = 0. Let r be s(n). Solve 5*h - 2 - r = m for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*a - a + 186, 0 = -5*o - 2*a - 201. Suppose -2 = 5*j + 3, -5*j = -4*d - 251. Let v = o - d. Solve -2*t = 3*t - v for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h = -4*n + 156, 3*n + h = 100 + 19. Let r be 1*5*16\/n. Let l = 10 + -9. Solve r*d = 5 + l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) 20948 (b) 0.5 (c) 1.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + -1 + (-46)\/(-18). Let j = -36919 - -36918. Which is the nearest to -1? (a) 0.1 (b) j (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-25)\/1*(-536)\/670 - 14. Let o(f) = 29*f + 9. Let h be o(-6). Let m = -99 - h. Calculate the highest common divisor of t and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41 - 32. Let x = j - -123. Suppose 912*m = 869*m + 860. Calculate the greatest common divisor of m and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 44 is divided by (1 - 2) + (-192)\/(-8)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -4 - -7. Suppose o*b + 2*f + 0 = 16, -3*b - 5*f = -13. Suppose 9 = n - b. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 2 and -166.\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5803*g*h**2 + 7*g*h + 2*h - 119 wrt h.\nAnswer: -11606*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 9*f**3 + 6*f**2. Let a(b) = -19*b**3 - 13*b**2. Let t = 14 - 1. Give t*q(p) + 6*a(p).\nAnswer: 3*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*c - m + 37, 6*c + 5*m = 3*c + 49. Solve -5*l - c = -3 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 262, 759, 1592, 2767, 4290, 6167, 8404, 11007?\n\"Answer: y**3 + 162*y**2 + 4*y + 95","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 31 (base 14) to base 2\nAnswer: 101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 3*b - 3*u, 0 = -2*b - 4*u + 31 - 9. Suppose -b*s + 554 = -145. Is s composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g - 4*b + 86 = 18, 4*g + 3*b - 54 = 0. Suppose l - 4*l - 5*s = g, 0 = l + 5*s + 4. Put l, -5, 5 in decreasing order.\nAnswer: 5, l, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 16.9 + -16.4. Which is the nearest to 0.027? (a) -1 (b) 3 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -65 - (-27 - (-5 + -19))\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 61758 is divided by 12351.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**3 - 8*s**2 + s + 4. Suppose -2*r + 7 = -9. Let l be i(r). Solve 0 = 4*v - l, 5*v = 5*b - 0*v for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 819*p - 2*p**2 - 819*p.\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 - 3*b**2 - 3*b + 3. Let u be s(-3). Let y be (-4)\/u + 7\/3. Which is smaller: y or -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 divided by -231751?\nAnswer: -667\/231751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 389.3 - 389. What is the nearest to -5 in v, 3, -2\/17, -0.12?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2530 = 16*v - 250*v + 2150 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.07 in -2239, -2\/31, 0.6, 3\/4?\nAnswer: -2\/31","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -31714603, -63429225, -95143847?\n\"Answer: -31714622*r + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -428 * -0.1\nAnswer: 42.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2195*o**2 + 5 - 2*o**3 + 2197*o**2 + 4*o**3 + o to a*o**2 + g*o**3 + u + z*o and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b - 185 = -5*k, 4*k - 3*b - 163 + 29 = 0. Let a = k + -22. What is the third derivative of 2388*c + a*c**2 - 2388*c - 18*c**4 wrt c?\nAnswer: -432*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.23 - 0.07. Suppose -2*q = -5*j - 2, 0*q + 5 = 5*q + 5*j. Let m = 5\/4 - q. Which is the third biggest value? (a) 2\/21 (b) o (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 32, -5, 11, 8, 7, 92 in descending order.\nAnswer: 92, 32, 11, 8, 7, 4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -648754 + 3714?\nAnswer: -645040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 14*l**2 + 305*l**5 + 31*l**2 - 244*l**5 + 35*l**2 + 23*l**2 wrt l.\nAnswer: 3660*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 - 804*j**2 + 34900*j + 690900.\nAnswer: -4*(j - 49)*(j + 15)*(j + 235)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5148 and 2340.\nAnswer: 25740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - g. Let d be 25\/10*(-4)\/(-5). Let s be a(d). What is the tens digit of 1 + (-22)\/(-2) + s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i**2 + i**2 - 2*i**2)*(-2*i**3 - i**3 + i**3) + i**5 + 0*i**5 + 0*i**5 + (3 - 5 + 2197*i + 96*i)*(1 + 2*i**4 - 1).\nAnswer: 4589*i**5 - 4*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -577*f + 579*f + 5*i - 36, -4*i + 34 = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -9273132 divided by -18\nAnswer: 515174","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o. Let n(r) = -813*r**2 + 3. Determine n(b(p)).\nAnswer: -813*p**2 + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127617 and 32550.\nAnswer: 197806350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -902.975 rounded to the nearest ten?\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1701.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*l + l - l - 4*l + 3*l - 2*l + (l + 1 - 1)*(-3 + 5 + 0) + 0*l + 2*l - 5*l - 19*l + 9*l - 65*l - 48*l.\nAnswer: -129*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 5 = 7*f - i, 0 = 4*f + 4*i - 4 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 77223854, 77223852, 77223850?\nAnswer: 77223848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 21*b - 97. Let r be h(5). Let t be 2\/r*(-3)\/(-9)*-12. Let o(m) = -12*m**3 + 2*m**2 + 2*m + 1. What is o(t)?\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from iqqiiiiqiiii.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 57 - 52. Suppose 0 = 2*c - 5*d - 4, 2*c - d = 5*c - 40. Suppose -c = -3*y + 18. Solve -a*i + y = -0*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 312400 - 0?\nAnswer: 312400","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -221*s = -233*s + 25320. List the prime factors of s.\nAnswer: 2, 5, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-12)*(1 - (-18)\/(-10)). Sort 1, t, 11 in decreasing order.\nAnswer: 11, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 10331 (b) -1\/2 (c) -3 (d) -2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9 + 0 + 10\/5. Let v = 0 + 6. Let c = b - v. Which is greater: 3 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 24211 + 301030?\nAnswer: 325241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from yedddyeddeeeeyyydye?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**3 - 5*m**2 + 3*m - 2. Suppose -5*t + 5*p - 10 = 0, 2*p - 14 = -3*t + p. Suppose z + 4 = t*y - z, -3*z + 28 = 4*y. What is j(y)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -10*x - 2. Let j(v) = v**2 + 3*v - 7. Let w be j(-5). Suppose 0 = 4*s - 4, 5*l = s - w*s + 52. Calculate the remainder when q(-2) is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwaw when four letters picked without replacement from wawpwpwyynynyyy.\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w + 1. Let z(h) = h**2 + h + 1. Let v(o) = x(o) - z(o). Let g(k) = k**2 - 3*k - 4. Let c be g(3). What is v(c)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 130457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.3, 2\/5, -15?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (12 + 3*i - 12)*(3 - 3 + 2*i)*(-2 - 1 - 2) + (0*i - 5*i - 2*i)*(2*i + 4 - 2*i - i) to o*i + a*i**2 + x and give a.\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = -1. Let l(h) = -h. Give 3*l(u) + 4*y(u).\nAnswer: -3*u - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + m**2 + 26 + 20.\nAnswer: m**2 - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8*c*l**5 - 281*c*l**3 - 3222*c*l + 23*c - 30*l**3 + 4*l - 2 wrt l?\nAnswer: 160*c*l**3 - 1686*c*l - 180*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -165 * -21\nAnswer: 3465","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*y + 74*y + 5 = 0, -2*i + 5*y = 13 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f = 5*c + 8, -5*f + 4*f + 5*c = 4. Let g = 6 - f. Let r(i) = -2*i + 37. Is r(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(-17)\/y*y)\/y**(-14))\/((y\/y**(2\/5))\/(y**8*y)))**(-1\/14) assuming y is positive.\nAnswer: y**(-27\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4.6 + 4.76. Let t = 0.267 - r. What is t rounded to 2 decimal places?\nAnswer: 0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 503916579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2379068.\nAnswer: 2, 71, 8377","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 150 = 4*p. Suppose -126*r + 120*r + p = 0. Solve -3*m + 8 = 4*x, 0*m + m = x + r for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -y**3 - 138669*y**2 = 0. Calculate y.\nAnswer: -138669, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5, -29, -69, -125, -197, -285, -389?\nAnswer: -509","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 7*q**4\/6 - 11*q**3 - 43*q**2\/6 + 5*q = 0.\nAnswer: -1, 0, 3\/7, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Do 120\/10477741 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 50 + 323 = 0. Let m = 233 - t. Let x = m + 223. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2\/19 - 176\/133. Which is smaller: h or 0?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -24322 (base 7) in base 8?\nAnswer: -14301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*h**2 + 39*h**2 + 6*h**2)*(0 - 2 + 1 + (-4 + 6 - 1)*(-3 - 2 + 3) + 4 - 5 + 3).\nAnswer: -59*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-22)\/4)\/((-9)\/18). Let i(h) = -21*h**3 - 6*h + 11. Let p(m) = 1 - 1 - 2 + 4*m**3 + m. Let z be ((-15)\/(-25))\/(18\/60). Calculate f*p(c) + z*i(c).\nAnswer: 2*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*l - 543 = -153. Let x(f) = 3*f**2 + 5*f - 3. Let t be x(3). Are t and l unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33650244 to the power of 1\/9, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -12, -1, 1 in descending order.\nAnswer: 2, 1, -1, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-8)*k\/(k\/k**(-5)))\/(k**15\/k*k*k*(k\/k**1*k)\/k*k) assuming k is positive.\nAnswer: k**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 595759 is divided by 321?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express y + 8*y**2 + y - 2*y - 2*y as f + v*y + w*y**2 and give w.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in 902, 6, 2, -0.3, -10?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = r - 35, 93 = 3*r - h + 53. Which is the fourth biggest value? (a) 5 (b) -3 (c) 0 (d) r (e) -2\/5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 - w)*(w - w + w) + 18*w**2 - 61*w**2 + 25*w**2)*(14*w - 5*w - 6*w)*(-6 + 2*w + 6) to s*w**4 + i*w**3 + v*w**2 + q*w + o and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -829, -2133, -5679, -12589, -23985, -40989?\nAnswer: -64723","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 66 divide 581588?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*c**5 - 180*c**4 + 164*c**3 + 548*c**2 - 888*c + 352 = 0. What is c?\nAnswer: -2, 1, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 435815922.\nAnswer: 2, 3, 43, 107, 15787","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w + 2. Let q(a) = -3*a - 3. Let c(x) = -7*d(x) - 3*q(x). Let y be 1 + 2 - (-1 + 0). What is c(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 70 and 3255?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 630 and 25?\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -439, 4, 1, 6, -4 in ascending order.\nAnswer: -439, -4, 1, 2, 4, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -4722, -4717, -4712, -4707?\n\"Answer: 5*f - 4727","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -901440 - 838884 = 6273*l + 6219*l + 4570*l for l.\nAnswer: -102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 33 - 13. Suppose a = 5*n - 0*n. What is the smallest common multiple of n and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 3*v + 340. Suppose 5*h - h - v = 0. What is the greatest common divisor of h and 68?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 235 minutes after 3:18 AM?\nAnswer: 7:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -17*b**3 - 6*b**2 - 7. Let h(v) = 13*v**3 + 5*v**2 - v + 6. What is -6*h(z) - 5*r(z)?\nAnswer: 7*z**3 + 6*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2a4a - 1941?\nAnswer: 1109","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 193 divide 9756343?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -7\/22 and 59\/529184.\nAnswer: 5821024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (-31 + 13 - 28)*(0*g + g + 2*g)*(4 - 3 + 0)*(g + 2*g - 22*g)*(-3 - 4 + 5) in the form k + s*g**2 + r*g and give s.\nAnswer: -5244","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 6. Let s = 213 - 22. Let a = s - 192.4. Put a, 3, z in ascending order.\nAnswer: z, a, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*p - 10 = 0, -2*t + 3*p + 1 = 4*p. Suppose 0 = -4*u - 3*m + 5, -3 = -t*u - 4*m + 7. Which is greater: u or -2\/19?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**2 - 3501*s + 7023. What is n(2)?\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21343369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = h + 4*b - 12, -h - 3*b + 4*b + 37 = 0. Let s be 2*(-3)\/4*32\/(-12)*28. Calculate the greatest common divisor of s and h.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*j**2 - j**2 - 3*j**2 + (1 - 2 - 1)*(0*j + 0*j - 2*j**2) + 9*j**2 - 132 + 75 + 63 - 3*j to the form i*j**2 + p*j + g and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*y**4\/2 - 1611*y**3 + 576738*y**2 - 68824068*y.\nAnswer: 3*y*(y - 358)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1578?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand f**2 - f**3 - f**2 + 0*f**3 - f**3 + 3*f**3 + (-f**2 + f**2 + 3*f**3)*(2 - 4 + 3) + (-2 + 2 - 1)*(0 + 3*f + 0)*(3 - 3 + f**2).\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/596438?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -161 divided by -23\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 6*p**2. Let a(r) = -r - 84. Give l(a(f)).\nAnswer: 6*f**2 + 1008*f + 42336","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.113? (a) 0.4 (b) 1\/5 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 90*f - 95*f - 5*i - 30, -5 = i for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o**3\/2 - 273*o**2\/2 - 138*o = 0.\nAnswer: -1, 0, 92","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5 by -63829695.\nAnswer: 1\/12765939","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(240) + (1*sqrt(240) - sqrt(240)))*6)\/sqrt(8))\/(sqrt(360) + (sqrt(360) - -6*(sqrt(360) + (sqrt(360)*-1 - sqrt(360)) - sqrt(360)))).\nAnswer: -sqrt(3)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 40048 - 9818?\nAnswer: 30230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85*s = -246 - 9. Solve 3*y = 3*z + 14 - 5, 0 = -2*y - s*z - 19 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 202 - 102 - 100 - 14*o**3.\nAnswer: -14*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 1929189 to the nearest 100000.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:03 AM?\nAnswer: 10:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -p**3 - 15*p**2 + 19*p + 52. Let y be n(-16). Solve y = j + 9 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 459 is divided by 33.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 70*j**2 + 3 - 68*j**2 - 3. Let b(l) = 76*l**2 - 3. Let x(m) = -7373*m**2 + 292. Let q(s) = 292*b(s) + 3*x(s). Determine q(f(g)).\nAnswer: 292*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.133 times -1\nAnswer: -0.133","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 6*p**2 - 15*p + 51. Let g be x(7). Let j(l) = -l. Let t(s) = 2*s**2 + 5*s + 1. Let f(w) = -2*j(w) + t(w). List the prime factors of f(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*k = 1584, 0 = -2*b + 3*k - 7 + 1076. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/j**6)\/j)\/(j\/(j*j**1))*j**0*j*(j**(-5)*j)\/j)**(7\/4) assuming j is positive.\nAnswer: j**(-63\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 996 - 17?\nAnswer: 97a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -798765262*a*b**3 - 2*a*b**2 + 19*a*b - 457*a + 203*b**2 wrt b.\nAnswer: -4792591572*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j = 4*p, 5*j + 0*p = -2*p + 12. Suppose 3 = j*b - 7. Suppose d - 6*d + 50 = -t, 0 = 5*d + b*t - 80. What are the prime factors of d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m + 28 = 1296. Let l = m - 190. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 14 - 5) + (-6 - -20).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 5*q**3 - 4*q**2 + 2*q + 7. Let c(a) = 113*a - 10920*a**3 + 10906*a**3 - 21 + 11*a**2 - 118*a. Determine 4*c(u) + 11*n(u).\nAnswer: -u**3 + 2*u - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 18 and 12636?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -155*j**2 + 85*j**2 + 8*j - 65*j**2 - 209*j**2 + 3*j**2 + 56 wrt j?\nAnswer: -682","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 193283 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the third derivative of -11*h**7\/105 + 3*h**3 - 15*h**2. What is the first derivative of v(j) wrt j?\nAnswer: -88*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1554346ml in litres?\nAnswer: 0.0001554346","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 6916.139ml?\nAnswer: 6.916139","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 64344 and 728?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13 + -9 + (-11 - -17) + -5 + -1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -59 times -0.17\nAnswer: 10.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2334027, 9336091, 21006195, 37344339, 58350523?\nAnswer: 84024747","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 223 minutes after 6:52 AM?\nAnswer: 10:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 52 divided by 661\nAnswer: 52\/661","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -26.8 - -27. What is the third smallest value in 0.02, 0.04, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -216551 to the nearest 1000.\nAnswer: -217000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0043458 to 3 decimal places.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -8146 divided by 4073?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 118219, 118241, 118277, 118333, 118415, 118529, 118681, 118877?\n\"Answer: a**3 + a**2 + 12*a + 118205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 0, 1\/45, -3\/4, 2\/37, -23, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2988 and 423?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/15 of a day?\nAnswer: 11520","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1335 and 0.1.\nAnswer: 133.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -228, -1090, -2528, -4542?\n\"Answer: -288*m**2 + 2*m + 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.119805 rounded to 2 decimal places?\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -840.91 + 837. Let c = i + -0.09. What is the nearest to -1\/4 in -0.2, 4, c?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5247)\/(-18285) + (-2)\/(6 - -4). Determine l so that 0*l - 4\/23*l**2 + g*l**4 + 2\/23 + 0*l**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes after 9:49 AM?\nAnswer: 1:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is c - 242?\nAnswer: -235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 12\/25 of a kilometer?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 332. Let q be (28\/6 + -4)*w. Suppose -2*h = -n + 21 - 82, 5*h + 5*n - q = 0. Is 13 a factor of h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 31 - 14. Suppose 245*w - 246*w - 58 = -3*z, -2*z + 4*w + 52 = 0. Solve -z + m = g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r + 17. Let x be i(-12). Suppose -x*z - 17*z + 55462 = 0. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 299 and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 745.3137 hours?\nAnswer: 2683129320000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 199 + -197. What is the second derivative of 0*x - 2*x**4 + 3*x**4 + 3*x + 53*x**2 + j*x wrt x?\nAnswer: 12*x**2 + 106","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 20 = q. Sort 5, q, -4 in descending order.\nAnswer: 5, -4, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 223*m = 218*m - 2750, 0 = 4*m - 4. Does 10 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/149292 and 139\/18.\nAnswer: 149292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(121) + 4*(sqrt(121) + sqrt(121)*1) - 2*sqrt(121)*2)\/((sqrt(110)*-1)\/sqrt(10)*6).\nAnswer: -5*sqrt(11)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 259361 by 41.\nAnswer: 259361\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*n + 2403 + 2651 - 443 = 69*n for n.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 23, 0 in descending order.\nAnswer: 23, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = -s + 23, -3*s + 5*w + 69 = 4*w. Let g = 0 - s. Let x = g - -38. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*j**2 + 5*j**2 - 3*j**2 + (j - 5*j + 2*j)*(-2*j + 3*j - 2*j) + 2*j**2 - 3 + 3)*(-1719 + 30*j - 22*j**2 + 1703 + 21*j**2).\nAnswer: -6*j**4 + 180*j**3 - 96*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 20369 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 40270*y**4 + 45122*y**4 + 104 - 78608*y**4 wrt y.\nAnswer: 27136*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 226*p - 8332. Calculate d(-33).\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -4*a - 9. Suppose -3*s - 9 = 2*m + 6, -3*s + 3*m = 0. Let f be h(s). Suppose f*z - 288 = -z + 2*r, 0 = 5*z + 4*r - 373. What is the units digit of z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 89.30819cm?\nAnswer: 893081900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-99)\/(11 - (-4824)\/(-438))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29451645?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let -720*y**3 + 2572*y**2 - 2480*y + 432 = 0. What is y?\nAnswer: 2\/9, 27\/20, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 738, -0.1, 3\/2?\nAnswer: 738","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5921 is divided by 228?\nAnswer: 221","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 124245 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 12, 152, 0, 420 in descending order.\nAnswer: 420, 152, 12, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 s when two letters picked without replacement from {w: 2, s: 2, e: 2}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = b. Let s(c) be the third derivative of 0*c**3 - 3\/8*c**4 + 0 - 13*c**2 - 1\/20*c**5 - 3*c. Calculate y(s(w)).\nAnswer: -3*w**2 - 9*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1738944 by -217368.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 1.133.\nAnswer: -5.665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -6*k**3 - k**2 + 32*k + 32. Calculate r(-1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -45?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -103 - (70 + -171 + 62)?\nAnswer: -64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.058, -1\/2, 1\/4, 3\/2, -0.31, -1\/4, 2\/107?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000348933 rounded to 6 decimal places?\nAnswer: 0.000035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -3173, 127 in descending order.\nAnswer: 127, 12, -3173","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1693 is divided by 53?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 3 = 5*j + 25, 5*j + 24 = x for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*l - 6*l + 36 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -72476 + -5220725.\nAnswer: -5293201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 h when two letters picked without replacement from hzhoc.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 w when two letters picked without replacement from jwwjwww?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*b**4 - 5*b**4 - b**4 + 4*b**4 - 1436*b**2 - 60*b**3 + 10*b**4 wrt b.\nAnswer: 120*b - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21271 (base 8) to base 7\nAnswer: -34626","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -22a4 (base 13) to base 14.\nAnswer: -1ab8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v - 12 + 60 = 0. Let q = -236 - -240. What is the highest common factor of q and v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268071895 a multiple of 3185?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 2046899 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -341, -4, 5 in increasing order.\nAnswer: -341, -4, -3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 19*a*m**2 - 2*a*m*r + 5*m**3*r**2 - 907*m**3*r - 2222*m**3 wrt r.\nAnswer: -2*a*m + 10*m**3*r - 907*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/587424 and 89\/1856.\nAnswer: 1174848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 23, 19, 15, 11?\n\"Answer: -4*q + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 12364495 to the nearest ten thousand.\nAnswer: 12360000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-138872)\/(-23) - 498\/(-5727)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**1)**8)**(-1\/9)*(((p\/p**(1\/5))\/p)\/p*p**(-4))**(-1\/17) assuming p is positive.\nAnswer: p**(-446\/765)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -a**3 - 191*a**2 + 1183*a - 10. Give h(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 36672 (base 9) in base 10?\nAnswer: 24608","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -607.61 minus 18145?\nAnswer: -18752.61","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 1237*n**2. Let d(i) = -12*i**2. Calculate d(p(c)).\nAnswer: -18362028*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 2 - 1)*(-1 + 5 + 1)*(2*z - 1 + 1).\nAnswer: -20*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*t = -96*t + 175760. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/60*(6\/(-2))\/(-1)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36*h - 35*h**2 + 6*h**3 + 36*h + 35*h**2.\nAnswer: 6*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1456)\/20*(-376)\/(-11844))\/(8\/(-10))?\nAnswer: 26\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4083*v + 12247*v - 4125*v - 4094*v - 13.\nAnswer: -55*v - 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/((-7)\/((-35)\/10)). Suppose 3*q + k - 690 = -q, 5*q + k - 863 = r. List the prime factors of q.\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 4*r + 10 + 25 = 0, -4*j - 4*r + 140 = 0. Suppose -1259 - 1366 = -20*q - 55*q. What is the least common multiple of q and j?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*f = 6*f - 24. Let h(d) be the first derivative of -d**5\/20 - d**4\/3 + d**3\/6 + 3*d**2\/2 - d - 1. Let u(o) be the first derivative of h(o). Give u(f).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/v**(-33))\/v**(30\/13))\/(v**(-31)\/v)**24 assuming v is positive.\nAnswer: v**(10396\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.149 + -209.149. Let w = v + 209.00000117. Round w to seven decimal places.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*y = 2*f + 20, y - 5*f - 35 = -4*y for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -6. Suppose 15*m + 555 = 30*m. Calculate the smallest common multiple of l and m.\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -79b61 (base 12) in base 9?\nAnswer: -266641","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 18741 and 801?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.333606 + -68.671494. Let x = 12.9 + -81.9. Let r = v - x. Round r to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a\/a**4)**(3\/4)\/(a**(2\/39)*a**(4\/7)) assuming a is positive.\nAnswer: a**(-1159\/546)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 25*q - 324. Calculate the remainder when u(18) is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 2*o - 3*o)*(-5830*o + 9 - 5842*o + 11677*o).\nAnswer: 5*o**2 + 9*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6089.004 millennia to decades.\nAnswer: 608900.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (0 - -116)*(-18)\/(-72). Let c be (-3)\/(-21) - u\/7. What are the prime factors of 347\/3 + -2 + c\/(-3)?\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 24444 is divided by 4074.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -749 (base 10) to base 15\nAnswer: -34e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 197695261 to the power of 1\/3, to the nearest integer?\nAnswer: 583","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5893.\nAnswer: 71, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -4*j + 22. Find the second derivative of -16*s - 19*s**5 - j*s - 2*s wrt s.\nAnswer: -380*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 - 29*f**2 - 62*f - 34. Does 14 divide d(-27)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 114 (base 5) to base 2\nAnswer: 100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 6795129 to the power of 1\/2, to the nearest integer?\nAnswer: 2607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 56263 to the power of 1\/2, to the nearest integer?\nAnswer: 237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 72 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -113265 or -112770?\nAnswer: -113265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6.06 - 6. Let u = b + -2.06. Let z = 304\/9 - 34. What is the biggest value in u, z, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 867*y**2 + 868*y**2 + 868*y**2 - 2605*y**2.\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6 + n**3 + n**2 - 4*n**2 - n**2 - 3*n. Let y be b(5). What is the units digit of (y\/(-12))\/(1\/(-12))?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -a**3 - 3*a**2 + a - 9. Give q(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = -2*o + 3*v, 4*v = 2*o + 5*v + 6 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10709509 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1\/4, 36\/5, 2\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (-2 + 3 + 2)) + -7 + 47?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 145\/72 and -37\/828.\nAnswer: 1656","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = -10*j**3 - 4*j**2 - j - 2. Let o be v(-3). Let u = o + -435. What is u rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 183*f + 821 - 1672 = 141*f + 1123 for f.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 244202033 (base 6) in base 10?\nAnswer: 4681605","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/5 in -0.1, 0.13, 4\/7, -4\/7, -69?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15)\/6*8\/(-10). Suppose 0 = u*r + 3*s + 17 + 12, r + s = -13. Does 3 divide (-4)\/r - 46\/(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (21\/6)\/(21\/(-12)). Let a = -3 - 1. What is the fourth biggest value in 2\/7, x, a, -3\/2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 4, z: 7}. Give prob of picking 1 x and 1 z.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-221)\/68)\/(-13))\/(-23*(-1)\/8)?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes after 5:54 AM?\nAnswer: 3:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14*z - 10*z - 2*z.\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -17 from 667.\nAnswer: 684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:41 PM and 2:27 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 19*z. Let s(t) be the second derivative of 197*t**3\/6 + 622*t. Calculate s(r(p)).\nAnswer: 3743*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = m**2 - 2*m - 17. Let f(s) = 257*s + 1279. Let u be f(-5). What is j(u)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 45?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**2 - 4*p. Suppose -2*k - 3*r + 20 = 0, 2*r + r - 8 = k. Let w be o(k). Let v be w\/(1 + -1 + -2). What is the third smallest value in -1, v, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236*c**3 - 48*c**3 - 5*c**3.\nAnswer: 183*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4809 is divided by 37.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = 2*o - 23. Determine p(6).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 5 = 5. Let z(v) = 2 - w + 2*v**2 + 4 - 7*v. What is the remainder when z(4) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 + 8*p**2 - 2*p - 11. Let u be k(-8). Suppose -u*x - r + 23 = -5, -2*x - 2*r = -16. Let n(y) = -y**2 + 5*y + 2. What is n(x)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 860181?\nAnswer: 3, 7, 40961","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 670 and 80.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/13716 and 101\/39960.\nAnswer: 5074920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z, 1 c, and 1 n when three letters picked without replacement from nnsnzrc?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round -30.56085 to 0 dps.\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify t**6\/((((t\/(t*t*t*t**4*t*t*t*t*t))\/t)\/t)\/t)*(t**0)**(-23) assuming t is positive.\nAnswer: t**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-16)\/(-56) - (-1986)\/7. What is the highest common factor of 4 and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 35772137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 84.2825698 to three decimal places.\nAnswer: 84.283","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(55)\/(sqrt(30)\/sqrt(6)) + 2.\nAnswer: 2 + sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26505*r + 26509*r = 3*b + 50, 0 = -4*b - 8 for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -6*f**3 - 7*f**2 - 11*f - 12. What is the remainder when z(-2) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 469 is divided by 11?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 10*k**2 + 23*k - 170. Let w(d) = -2*d**2 - d + 22. Let x(a) = -i(a) - 4*w(a). Determine x(5).\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -c + 3. Let a be (-2)\/4 - (-30)\/(-12). Let o be f(a). Let v be 0*(3 - 1)\/(-4). Solve 2*w - 2*l + 6 = v, 0 = -3*w + w - 5*l - o for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 94 = 5*i + 3*n, 0*i - n = 5*i - 88. Let q = -13 + i. Suppose 272 = q*a + 64. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1760*b = -1763*b - i - 17, -3*i = b + 11 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 6*u**3 - 20*u**2 + 5*u + 45. Let r(d) = 5*d**3 - 21*d**2 + 4*d + 45. Let c(g) = -6*i(g) + 7*r(g). Let j be c(-27). Is 99 smaller than j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2 + 4966*g + 2246720.\nAnswer: 2*(g + 595)*(g + 1888)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 82.\nAnswer: 902","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 913 and 1079?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c + 4. Let a be q(-4). Let j(p) be the first derivative of p**2\/2 + 11*p - 59. What is j(a)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, 3, 4, 1, 2 in descending order.\nAnswer: 4, 3, 2, 1, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -1. Let q(l) = -l - 7. Let d(p) = -6*f(p) + q(p). Let z be d(-4). Solve 8 + 1 = z*h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -88*w**2 + 40*w**2 + 62*w**2 as s + j*w**2 + o*w and give j.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, l: 1, o: 2, n: 9, i: 4}. Give prob of sequence oz.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*q + 11*q - 8*q - 21*q to o + g*q and give g.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 3*g**3 + g - 1. Let s(d) = d**3 + 6*d**2 + 12*d + 41. Let t be s(-5). Suppose -3*a + 24*o = 27*o - t, 9 = 4*a + 5*o. Give l(a).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(864))\/(sqrt(432) - (sqrt(432) + sqrt(432)*1 + sqrt(432) + sqrt(432) + sqrt(432) - sqrt(432))).\nAnswer: 2*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - 1 = -4*j - 30 + 181, -4*j = 3*x + 104 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + -4 + 0 + 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4 + 3. Let j(i) = -3*i**2 - 4*i - 5. Let l(d) = 3*d**2 + 3*d + 4. Suppose -8*b + 16 = -4*b. Let x(q) = b*l(q) + 3*j(q). Calculate x(f).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mx when two letters picked without replacement from tmxmm?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 56 and 104.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2\/3))**2*y**(-1\/20)*y*y*y*y**(-10) assuming y is positive.\nAnswer: y**(-503\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -220*q - 7 = -221*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 942 + -939. Solve -8*o - 28 = -4*o + 4*r, 29 = -l*o - 5*r for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18085 is divided by 91.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7060 + 7059.6. Which is the fifth biggest value? (a) -1 (b) -0.3 (c) 1 (d) t (e) -0.38\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 15) in base 5?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 13 = -21. Let t be ((96\/(-20))\/w)\/((-6)\/(-80)). What is the units digit of 6*79\/8 + t\/64?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2559 greater than 355845\/139?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 7 = 5*z - 3, 0 = -5*x + 3*z + 60. Let w be (-5160)\/(2\/x*-3). What is w rounded to the nearest one thousand?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 5508022*a**4*m**3 - 10*a**2*m**3 - 46701*a*m**3 wrt a.\nAnswer: 132192528*a*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 2 j when three letters picked without replacement from {v: 1, s: 1, k: 1, j: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 51.49 - 0.49. Let q = -72 + j. Which is the third biggest value? (a) -1\/3 (b) -3\/4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 2*z**2 - 4*z. Let q(u) = -1645 + 2*u + 1645. What is q(r(p))?\nAnswer: 4*p**2 - 8*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18 and 7188.\nAnswer: 21564","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = -2*y. Let a(m) be the second derivative of m**4\/12 + 409*m**2 - 65*m. Give d(a(h)).\nAnswer: -2*h**2 - 1636","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*u + 159*u - 156*u.\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 - 4)*(1 + 1 + 0)*(159645 - 11*t - 21*t - 159632) - 4*t + 5*t + 6*t.\nAnswer: 135*t - 52","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 605\/742 (b) 46 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2 - 4*f + 5. Let r be a(-4). Which is bigger: 0.04 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3644314 - 15?\nAnswer: -3644331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -126, -603, -1500, -2901, -4890, -7551, -10968?\nAnswer: -15225","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-63)\/18*(-8)\/182\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) = -14*o**2 + 6*o - 11. Let p(z) be the second derivative of 5*z**4\/12 - z**3\/3 + 2*z**2 - 545*z. What is 6*l(r) + 17*p(r)?\nAnswer: r**2 + 2*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 25.63 - -0.37. Let g = 31.2 - q. Let z = 5 - g. Which is bigger: 2 or z?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -86 + 84.01. Let k = -0.01 + l. Which is the nearest to k? (a) -2\/5 (b) 2\/9 (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = -v**2 - 6*v + 6. Let i(n) = n**2 + 7*n - 7. Let q(z) = -2*i(z) - 3*o(z). Suppose -a + 68 = -18*a. Determine q(a).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6 by -39.\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = f**2 - 460. Calculate b(-22).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14 - (-3 + 1 + 3 + 6 + -8).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**4\/3 + 8374*u**3 + 7190960*u**2 + 6084310400*u\/3 + 189972608000.\nAnswer: -(u - 25962)*(u + 280)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = z**2 + 7*z + 14. Let p be d(-5). Let i be 14\/p - 15\/(-10). Let l(v) = -3*v - 9. Let s be l(-4). Solve -i*r + s*r = 10 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -j**3 + j**3 + j**3 + (17*j**2 + 17 - 17)*(-262 + 262 + 5*j).\nAnswer: 86*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-2)\/10)\/(-2 + 1). Let a = -0.39 + -0.11. What is the closest to -2 in t, a, 4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1104)\/(-136) - 2 - 6.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6\/18*(-1)\/(3\/(-45))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 7593*r - 5769*r - 36480 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -569407\/51 - -11165. Let o = -1842 - -44225\/24. Find the common denominator of i and o.\nAnswer: 408","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 483.3 - 432. Let m = k - 54. Let t = m + 2.6. What is the closest to t in -5, 5\/4, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) be the first derivative of -5*k**6\/6 - 5*k**5 - 25*k**4\/4 + 25*k**3\/3 + 15*k**2 + 11. Solve z(v) = 0 for v.\nAnswer: -3, -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2076419380 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 324 and 4155780.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -0.3 * 64.43\nAnswer: -19.329","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 21. Let s be 7 + 1 + (-8)\/k. Suppose -s*x = -2*n - 8, -7*n + 3*n = -5*x + 7. Is n < 3\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 932 and 1020?\nAnswer: 237660","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -264 + 266. Let k = 2 + -1. Solve -m*r + r = k for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h**3 + 4*h - 6*h + h**2 + 0*h + 4*h**2. What is g(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -30 + 50 + -4 + -23 + 11\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*l + 18 = 3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1798 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 nearest to 1 in 1, -155\/4, -0.2, -0.25?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 67*w - 107. Let d(g) = 68*g - 162. Let j(m) = 2*d(m) - 3*v(m). Let b(o) = 4*o**2. Give j(b(r)).\nAnswer: -260*r**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -1 + 2 - 4\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d + 5 = 3*y - 5, -2*d + 8 = 3*y. Let w = 0.4 + -0.4. Let o be 1\/3 + (-29)\/609. What is the nearest to o in w, d, 4?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 18 = -b, 0 = b - 4*a - 62 - 10. What is the highest common divisor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 3, -2, 1 in increasing order.\nAnswer: -2, 0, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kku when three letters picked without replacement from {k: 11, u: 4, f: 3}.\nAnswer: 55\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-4)\/(-6) - 4\/(-3). Let m = 12 + -7. Solve -r*i + i = -m for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -19988, -19998, -20008, -20018?\nAnswer: -20028","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 0, -232415, 2\/81, -6, -2\/5.\nAnswer: -232415, -6, -2\/5, 0, 2\/81, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -16970145477 - 1.6\nAnswer: -16970145478.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1000210002112 (base 3) to base 5\nAnswer: -114444233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -2598656, -2598658, -2598660, -2598662, -2598664, -2598666?\n\"Answer: -2*a - 2598654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*x**5 - 64210966*x**4 - 397916*x + 79?\nAnswer: 60*x**3 - 770531592*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 2*v + 0*v)*(-3*v**3 - v**3 + 3*v**3) + 2*v**4 - 2*v**4 - v**4 + (2*v + 2*v - 3*v)*(-17210 + 17210 - 1230*v**3).\nAnswer: -1233*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1116, 0.35, 0 in ascending order.\nAnswer: -1116, 0, 0.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -1, -1010, 5 in ascending order.\nAnswer: -1010, -2, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -126, -9, -63, -11, -1, 2 in decreasing order.\nAnswer: 2, -1, -9, -11, -63, -126","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 4*d = 65. Suppose -938 - 154 = -d*a. Suppose 2 = 2*r, 0*r + 4*r + a = 2*l. What is the tens digit of l?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 56 and 1512?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, -2221856\/3, -0.02?\nAnswer: -2221856\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.891, 1, 1\/5 in descending order.\nAnswer: 1, 1\/5, -0.891","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -2*b + 1. Let y be q(-1). Suppose a + y*a = 8. Solve 0*f + a*f = 8 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1 - -1646322366?\nAnswer: 1646322365","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 10\/360 + (-7905)\/(-143100) and -9\/1030?\nAnswer: 54590","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (10\/(-25))\/((-2)\/30). Suppose g = -n - 4, -2*g + 13 = n - f*n. Let b be -33*(1\/n + 0). What is the highest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:31 AM and 6:23 AM?\nAnswer: 172","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3 - -5. Let y be (n - 2)\/((-4)\/(-2)). Let x be 2\/11 - (-4)\/(-11). Which is smaller: y or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 527.\nAnswer: 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 49*x**3 + 2*x - 1. Suppose 2 = 4*t - 3*g - 6, 3*g = -5*t + 37. Suppose 0*i + i - t = -c, -5*i - 11 = -4*c. Is 20 a factor of v(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 25*z**2 - 26*z + 2. Give i(26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -359375 divided by -5\nAnswer: 71875","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -103434310 (base 5) to base 6\nAnswer: -13410411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -466*x + 2527 = 3*j - 469*x + 2545, -6*j = x + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2944 - -3047. What is the remainder when 3841 is divided by h?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4\/3, 3176993, -16\/7?\nAnswer: 3176993","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.044 + 3.856. Let n = -3.90197 + i. What is n rounded to four dps?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 275357263 to the nearest integer?\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 104719143 to the power of 1\/2, to the nearest integer?\nAnswer: 10233","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 46456474969 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -7211814*r**5 + 90*r**2 - 4463.\nAnswer: -432708840*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3*4\/(-3) - (146 - -2). Let g = z + 292. Is 9 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -45\/14 and -43\/11492.\nAnswer: 80444","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1004692519 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = 4*j**2 + 2*j + 150. Let n(k) be the third derivative of k**4\/8 - 649*k**2 - k. What is x(n(z))?\nAnswer: 36*z**2 + 6*z + 150","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 90508.38 millimeters to kilometers.\nAnswer: 0.09050838","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 20679, 122, -4.\nAnswer: -4, 122, 20679","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*q + 3*q + 36. Does 15 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 767999?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 518762827 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 77*v + 54*v + 234*v to the form g*v + u and give g.\nAnswer: 365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -152796, -305432, -457866, -609996, -761720, -912936, -1063542, -1213436?\nAnswer: -1362516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 39? (a) 0.1 (b) -2\/9 (c) 69\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -54\/7 and (-243)\/84 - (2 - 8\/4).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -71656*x**3 + 71726*x**3 + 32*x**2 - 15*x - 25*x + 6*x + 4*x**4.\nAnswer: 2*x*(x + 1)*(x + 17)*(2*x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = 3*t - 1. Let q(j) = -7*j + 2. Let k(x) = 15*i(x) + 6*q(x). Suppose -u = g - 40, 30 = 5*u - 4*u - g. What is the remainder when u is divided by k(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from imimmmmmimi. What is prob of picking 2 m?\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = -6*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15 - 5. Let o be (-5)\/a - 14\/(-8). Is 4 at least as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/21 (b) 42 (c) -0.055 (d) -0.09\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 91910 or 91891?\nAnswer: 91891","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -4 + 12, 5*d = -4*m + 114. What is the remainder when m is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the third derivative of -2963*h**7\/210 + 1420*h**3\/3 - 4*h**2 + 34*h + 4. Differentiate r(c) wrt c.\nAnswer: -11852*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-five quarters of a millennium in years?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 15) to base 3\nAnswer: -22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -7*f - 12. Let x be z(-8). Suppose 2*a - x = -6. List the prime factors of a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.4 - -1.2. Is i greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0.03, -0.4 in ascending order.\nAnswer: -1, -0.4, 0.03","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Add 5 and 24045255.\nAnswer: 24045260","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 74676089695 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*b + 4540, 2*v - 4552 = 17*b - 16*b. Is v a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6970 to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f + 5*f - 15. Suppose -6*b + 10*b = f*a - 684, 3*a = 2*b + 412. What are the prime factors of a?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -4, 1, -96, 0, -22 in decreasing order.\nAnswer: 1, 0, -1, -4, -22, -96","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -124d (base 16) in base 5?\nAnswer: -122220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4 + 1)\/(3\/4). Let k be (-1 - -2) + (-2 - -2). Let s = k - h. Does 4 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 128*v - 124*v - 52 = -4*u, -4*u = -v - 12 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -k**2 + 4*k - 2. Let g = -45 + 48. Calculate h(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 203 - -100?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((5*sqrt(12)\/sqrt(4) - (1 + sqrt(243))**2) + ((1*sqrt(144))\/sqrt(12))\/(sqrt(256) + sqrt(256)*1) + 0).\nAnswer: -1220 - 1035*sqrt(3)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 59297 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -6*b - 2. Let w(y) = 181*y + 9. Calculate -3*v(s) - w(s).\nAnswer: -163*s - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 3*z - 3*z - z - 6. Let b(q) = q + 5. Suppose 4*a + 4*y = 12, 15 = 4*a - 2*y - 9. Let r(f) = a*b(f) + 4*k(f). Differentiate r(l) with respect to l.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -6*l - 2. Let x be a(-7). Suppose 5*k + 16 = 2*q, 0 = 5*q + 2*k + k - x. Suppose d + q = 5*d. Solve -1 = -d*o + 1 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -299.19 + 0.1411?\nAnswer: -299.0489","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/(-28)*28\/(-24)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -777*s - 776*s + 2333*s + 24 - 784*s - 24.\nAnswer: -4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x*(x\/(x**(-1)*x*x))\/x*x)\/x)**(-2\/37)\/(x**1)**(-1\/14))\/((x**(-1))**24\/(x**(-2)*x*x*x*x**(-2\/11)\/x*x)) assuming x is positive.\nAnswer: x**(3833\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/37926 and -89\/10836?\nAnswer: 75852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1848 and 42?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.071656 millilitres in litres?\nAnswer: 0.002071656","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -84, -79, -66, -39, 8, 81, 186, 329?\nAnswer: 516","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 3*u + 23, 0*d + 5*u + 1 = -2*d. Let b be 7\/(7\/(-1055))*-1. Suppose d*w = 2*w + b. Is w a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 24*j - 916. Let i be s(-50). Solve -l - i = -2782 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 + -4. Let c be -14 + ((-450)\/(-36) - -2) + 9\/(-24). What is the nearest to 1 in 0.5, 3\/5, v, c?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -4*k**3 - 5*k**2 + 2*k. Let h(z) = 2*z**2 + 2*z + 3. Let b(c) = -c**3 + 2*c + 2. Let m(y) = -3*b(y) + 2*h(y). Give 5*m(q) + 4*o(q).\nAnswer: -q**3 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*l**3 + 3*l + 2*l**4 - 4*l**3 + 3*l**3 + l**3 to k*l**3 + d*l + w*l**4 + n + z*l**2 and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kg when two letters picked without replacement from kkkkkkkkkkkkgkkgkkkk.\nAnswer: 9\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 1\/2 (b) -3 (c) 0.2 (d) 0.9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -275 - -290. Suppose x*m = 21*m + 18. What is the nearest to 1\/2 in -116, m, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-2104)\/(-10))\/(16\/840)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 257366.4 minutes in milliseconds?\nAnswer: 15441984000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r + 11. Let t be h(8). Suppose -5*b + 20 = 0, t*o - 4*b = -o - 8. Is 11 a factor of (o - 0)*11\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*b**2 - 9750*b - 19480.\nAnswer: -5*(b + 2)*(b + 1948)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wowowowoooowooooow. What is prob of picking 4 o?\nAnswer: 11\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*n**5 - 245972*n**3 + 247124*n**2 wrt n.\nAnswer: -120*n**2 - 1475832","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/19, 55, -3\/7, 1 in descending order.\nAnswer: 55, 1, -2\/19, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*h - 16*h = 680. Let g = 91 + h. Let a(f) = -f**3 - 2*f**2 + f + 2. Let o be a(0). Solve 5*d = o*d - g for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-7))\/((-2)\/(1*-2))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -123\/362474 and -77\/1915934?\nAnswer: 13411538","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:49 PM and 4:13 AM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 929 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 188 + -2442\/13. Let a = 8 + 0. Let p = a - 7.9. Sort s, p, 2\/19.\nAnswer: p, 2\/19, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m when two letters picked without replacement from {u: 3, g: 1, m: 3, e: 3}?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.53866 + 812.31?\nAnswer: 813.84866","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 8858 divided by -1\nAnswer: -8858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(133) + sqrt(133))*-1 - (sqrt(133) + (sqrt(133) - sqrt(133)*1)*5))\/(sqrt(112) + -2*(sqrt(112) - sqrt(112)*-1)).\nAnswer: sqrt(19)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -76*o**3 + 71 wrt o?\nAnswer: -228*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2988 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 2*b + 10. Suppose 4*w = 5*f - 25, -7 - 3 = -2*w - 2*f. Let i be 1 - w*2\/b. Calculate the highest common divisor of 3 and i.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence btbs when four letters picked without replacement from {s: 3, t: 6, k: 2, b: 2}?\nAnswer: 3\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1.4 + 1. Let f be 1\/21 + (-10)\/(-35). Sort w, f, -2\/3 in decreasing order.\nAnswer: f, w, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 + h**2 - 8*h**2)*(-1 + 1 - h**2 + (h - 2 + 2)*(-4 + 4 + 2*h) - 4*h**2 - 29*h**2 - 67*h**2).\nAnswer: 594*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 995141532 divided by -47894?\nAnswer: -20778","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3 (b) 1 (c) 5 (d) -0.734\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 364.\nAnswer: 2, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4, -1, -10, -23, -40, -61, -86?\nAnswer: -115","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4368 and 32214?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -83\/36816 and -63\/11390.\nAnswer: 209667120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h**2 + h + 2. Let t be y(-2). Suppose 0 = 4*i - 3*c - 46, -4*i + t*c = -28 - 20. List the prime factors of i.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 13020 and 2604?\nAnswer: 13020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 94030 and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2, -21, -30, -23, 6, 63, 154?\n\"Answer: x**3 - x**2 - 23*x + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 522959 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2668778027?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -b + 2*z - 39, -5*b = 3*z - 447. Solve b*o - 84*o = -18 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1608\/36*((-6)\/4)\/((-5)\/(-40)*8)\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 2*x**3 - 11*x**2 - 8*x + 4. What is h(6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:35 PM and 11:50 PM?\nAnswer: 135","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1111001111011111010 + 110100100?\nAnswer: -1111001110101010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 2*s**3\/11 - 8802*s**2\/11 + 4770*s + 1186650\/11 = 0.\nAnswer: -9, 15, 4395","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 681744 is divided by 340655?\nAnswer: 434","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1029344 divided by 1.\nAnswer: 1029344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 13\/(-15) + 2\/3. Let f be (-4)\/(-14) - (-48)\/(-70). Sort f, v, -2 in decreasing order.\nAnswer: v, f, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-28)\/(-35))\/(2\/(-5) + 0). Is r < -2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 15525182 to the nearest integer?\nAnswer: 249","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = t**3 + 45*t**2 + 320*t - 51. Give x(-9).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tf when two letters picked without replacement from {t: 15, f: 4}?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/(-63)*4*-28*(-42)\/12544.\nAnswer: -1\/56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 228?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 106 - 1380\/13. Which is the fourth smallest value? (a) -2 (b) 1 (c) l (d) -2\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 0, 5, -2, 1593, -1, 146 in increasing order.\nAnswer: -6, -2, -1, 0, 5, 146, 1593","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-25))\/((-2)\/(-5)). Let v = -54.9 - -55. Suppose -4*j - h = -4 - 1, 4*j = -5*h - 7. What is the third smallest value in j, 2\/7, r, v?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 42 and 4907658?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = -2*n + 2*j, -4*j + 3*j = 3. Suppose x = -5*b + n, 6*b + 5*x = b + 35. Suppose 3*i = 3, 3*a - b*i + 30 = 8*a. What is the units digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(-9) - 376\/(-72). Let i(j) = 2*j + 1. Let d(r) = r + 1. Let w(p) = u*d(p) - 2*i(p). What is the tens digit of w(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68882870.\nAnswer: 2, 5, 7, 41, 24001","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (-74 - -61) + (1 - -4) + 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 3 = 3*p - 24, 0 = 5*t - 15. Suppose -i + p*g = 67 - 1036, -2*i + 1930 = -4*g. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358857 is divided by 2455.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1668424 to the power of 1\/4, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r**3 + 6*r - 4. Let f be o(-3). Suppose -3*y + 2760 = f*n, -229 = -n - 4*y + 306. Is n a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 43 is divided by 36.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 4846118, 4846186, 4846268, 4846370, 4846498, 4846658, 4846856?\n\"Answer: o**3 + o**2 + 58*o + 4846058","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 7*i. Let j(n) = -n**3 + 12*n**2 + 2*n - 4. Let a be j(12). Let d = -14 + a. Let v(g) = 2*g**2 + d*g**2 + 0*g**2 - 7*g**2. What is v(o(y))?\nAnswer: 49*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4.1 - 1.2. Let o = 2.984 - d. Round o to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 12*t**2 + 215*t - 55. Is 22 a factor of u(-39)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 PM and 8:18 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/1066716090 and -71\/15?\nAnswer: 1066716090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (3\/((-15)\/8))\/(21\/(-105)). Let u(z) = -z**2 + 8*z. What is u(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*p + 6*p - 37 + 12*p - 4*p - 8*p.\nAnswer: p - 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = 7*a**2 + 4*a + 4. Let l be c(-2). Calculate the remainder when (-7)\/(7\/(-3))*l\/2 is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 187 divide 311827951?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4, -1\/3, -0.2827, -3, -16?\nAnswer: -0.2827","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 98 is divided by 60.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**2 - 26426474*t + 26426476.\nAnswer: -2*(t - 1)*(t + 13213238)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -3*w - 11. Let h(s) = -2*s - 11. Let z(q) = 7*h(q) - 6*m(q). Let k be z(4). Solve k*j = 15 + 10 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 5*r - 13 = 0. Let u(x) = x**3 - 45*x**2 - x + 40. Let n be u(45). Suppose -8*f - 6 = -6*f. Put r, f, n in descending order.\nAnswer: r, f, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 + 6 + 4 - (-5 + 1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 180341*i - 1983777. Give d(11).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1555729?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/7 - 11*x\/7 + 24\/7.\nAnswer: (x - 8)*(x - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 13 - 9. Suppose 0 = 2*j + 2*v + 4 - 0, -2*j + h*v = -14. Suppose -93 = 195*i - 233*i + 21. Solve z - j = -n - 0, -i*z = 2*n + 1 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 233639 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h - 2 + 8 = -2*w, 3*h - 10 = 2*w. Solve -5*x + w + 24 = 0 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.116 + -4.584. Let u = 4.700021 + r. Round u to five decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.956 - 0.044. Which is the closest to f? (a) 3 (b) -0.4 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 194216601, 0.\nAnswer: 0, 4, 194216601","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - (0 + 0)) + 6. Let f be (-65)\/(-10) - 6\/j. Suppose f*y = -5*w + 50 + 20, 0 = -5*y - w + 58. What are the prime factors of y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2792122184 to the power of 1\/2, to the nearest integer?\nAnswer: 52841","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 256.99614 rounded to 1 dp?\nAnswer: 257","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 951990 = -2*y, -y - 2380010 = 5*c + y. Round c to the nearest 10000.\nAnswer: -480000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tyytttt. What is prob of picking 2 t and 2 y?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ojwww. What is prob of picking 2 w?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 923757, 923765, 923773?\nAnswer: 923781","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6 - 226*t**3 + 3 + 3.\nAnswer: -226*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 53646.14nm in centimeters?\nAnswer: 0.005364614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -4*w + 4. Suppose -2*k + 16 = -0*k. Solve w*h + 2*h - k = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t\/(t*t**(-2\/5))*t*t**(-11)*t)**(-11)*(t**6*t**(-2\/7))\/(t**(-1)*t**(2\/13)) assuming t is positive.\nAnswer: t**(46028\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(144))\/sqrt(12))\/(-3*sqrt(54)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 115 - -36. List the prime factors of v.\nAnswer: 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -998795 + 998795 - 98*m.\nAnswer: -98*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 37683836 divided by 9420959\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(1125)\/sqrt(9))**2 + (sqrt(55) - sqrt(330)\/sqrt(6)*1)\/sqrt(11))*-4.\nAnswer: -564 + 160*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/10*(-8)\/12. Let g = -0.02 + -0.58. Let i = g + 0.5. Which is the second smallest value? (a) -3 (b) q (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) be the second derivative of -969*p**5\/10 - 511*p**4\/2 + 2321*p. What is the third derivative of i(m) wrt m?\nAnswer: -11628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0, 18, 3 in decreasing order.\nAnswer: 18, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1387 is divided by 52.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 42079 (base 11) in base 2?\nAnswer: 1110111110000000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6157, 85, -59.\nAnswer: -59, 85, 6157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35559, -35564, -35569, -35574, -35579?\nAnswer: -35584","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4403869602?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tmlllaamkxmkk. Give prob of picking 1 a and 1 x.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + 10 + -1 + 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 41604698?\nAnswer: 2, 2393, 8693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((((l*l**(-3\/13)*l)\/l)**(-3\/7))**(-6\/19))**(1\/5))**(-4) assuming l is positive.\nAnswer: l**(-144\/1729)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, -3, -1, 30524?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.98 + 0.02. Let l = -5 - -13. Suppose 0 = l*r - 13 - 11. Which is the third smallest value? (a) s (b) -0.5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 334*l + 598*l + 10392 = -20364 for l.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -f. Let u(m) = 5 + 8 - 29*m - 13. Give u(z(w)).\nAnswer: 29*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*z = -621*s + 617*s - 160, 14 = 4*s + 6*z + 170 for s.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*w**2 + w**2 - 3*w**2 + (w + 4*w - 3*w)*(0 + 1 - 3)*(0*w - 14*w - w) to the form d*w + x*w**2 + r and give x.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1310122 (base 4) to base 6.\nAnswer: 54254","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d*d*d**(10\/9)\/d*d*d*d)*d\/((d\/(d*((d\/(d**(3\/5)\/d))\/d)\/d))\/d)*(d\/(d\/(d**(-17)\/d)))**(-2\/25))**(-16) assuming d is positive.\nAnswer: d**(4576\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -27156 - -7179. Round p to the nearest 10000.\nAnswer: -20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - 0 - (5 + 1)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1575400?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 33\/2*o - 3\/2*o**2 - 15.\nAnswer: -3*(o - 10)*(o - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 344 minutes before 7:12 AM?\nAnswer: 1:28 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*a - 4*t - 40, 2*a = 5*a - 5*t + 14. Let r = -4 - a. Let z(x) = 0*x - 1 - r*x + 0*x. What is z(-1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 61*o**4 - 3*o**2 - 97*o**4 - 51 + 2*o**3 + 57*o**4 + 3*o**2 wrt o.\nAnswer: 84*o**3 + 6*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 291205?\nAnswer: 5, 139, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q - 4. Let f be s(9). Suppose -f*y = -437 - 108. Let d = y + -74. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -14 - 7. What is the remainder when (-112)\/h - 4\/(-6) is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 410\/35 - (-2)\/7. Suppose -30*a + 36*a = u. Solve 0 = 3*r - 5*y + 16, 0*r - a*r = -3*y + 10 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -7096 times -0.11?\nAnswer: 780.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u = -5*l - u - 20695, -5*l = 2*u + 20730. Is 5 a factor of (-1)\/3 - l\/48?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 23993444?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -2131 (base 5) in base 2?\nAnswer: -100100011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 45*j + 4. Let f be l(1). Suppose 5*d + 37 = -3*h, -2*d + 0*d = 3*h + f. Are -21 and h nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000010357 to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ynyyxxnyymkymkymyxn. What is prob of picking 1 k, 2 x, and 1 n?\nAnswer: 3\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 20\/(-6)*(-18)\/15. Suppose v = -3*v + u. Let y(i) = 5*i**3 - 1. Let b be y(v). Solve 4*n = b*r, -r + 0 = -2*n - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -741919 * -884\nAnswer: 655856396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + s + 1)*(-3*s - 2*s + 3*s)*(-149*s**2 + 87*s**2 - 184*s**2).\nAnswer: 492*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t**3\/3 + 387965*t**2\/3 - 20*t\/3 - 1551860\/3 = 0. What is t?\nAnswer: -77593, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 4 and -6463.\nAnswer: -25852","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 338 + -336. Suppose -5*a - 119390 = -3*k - 3*a, -4*k - t*a + 159210 = 0. Round k to the nearest 10000.\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2633, -5437, -8461, -11819, -15625?\nAnswer: -19993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the first derivative of 1\/3*x**3 - 7\/2*x**2 + 0*x - 7\/30*x**5 + 1\/6*x**4 + 1\/15*x**6 + 2. Let t(i) be the second derivative of w(i). Factor t(l).\nAnswer: 2*(l - 1)**2*(4*l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 129?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -370 or -374?\nAnswer: -370","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**4 - 5*m**4 - m - 14*m**4 - m**3 + 31*m**4 - m**2 + 2 to the form f*m + k*m**3 + t + p*m**2 + u*m**4 and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -146*z = -141*z - 210. Is ((-2574)\/(-4))\/3*28\/z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 * 0.047472\nAnswer: -0.379776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 3*z = 447062, 4*z - 357648 = 189*w - 193*w. Is w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 237339?\nAnswer: 3, 26371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 - 1 + 0)*(0 + 2*p + 0) + 3 - p - 3 + (0*p - 6*p + 2*p)*(-2 - 1 + 0) + 18*p - 6*p + 19*p.\nAnswer: 36*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that 2*m + 0*m - 17*m - 4*m**2 + 9*m**2 - 50 = 0.\nAnswer: -2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -42*x**2 + 205*x**2 - 50*x**2 - 14 - 78*x**2 to s*x + v*x**2 + b and give b.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -4, 0, -166, -2, 4, 76 in decreasing order.\nAnswer: 76, 4, 1, 0, -2, -4, -166","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (294\/(-3969))\/((-1)\/(-9)).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v**3 + 6*v**2 - 18*v - 7. Let z be u(-8). Let f(r) = r - 3. Let g(n) = 5*n - 12. Calculate z*f(i) - 2*g(i).\nAnswer: -i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -6*q - 3. Let x(t) = -t - 1. Let c(k) = -m(k) + 3*x(k). Let y be c(-1). Sort 4, y, 8 in decreasing order.\nAnswer: 8, 4, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10656 divided by -9\nAnswer: -1184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -2 + (-98)\/(-6) + (-32)\/96. Suppose 0 = c*h - 20 - 190. Suppose u - 26 = g, u - 5*g + 17 = 3*u. What is the lowest common multiple of u and h?\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 4*j + 3. Let q be h(9). Let k = 97 - q. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -2106142 - -41?\nAnswer: -2106101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275) + 1 + sqrt(11)*-1)*1.\nAnswer: -6*sqrt(11) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 14\/7*(-376)\/(-47)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/45*18*-10.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = -107*p**2 - 18. Let o(v) = -2*v**2. Give n(o(g)).\nAnswer: -428*g**4 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 + -4062765?\nAnswer: -4062772","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -38*y**2 + 25*y - 23. Let t(k) = 4*k**2 - k - 1. Let p(x) = 2*o(x) + 18*t(x). Factor p(f).\nAnswer: -4*(f - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 344628561 to the nearest integer?\nAnswer: 701","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4*10\/16)\/((-5)\/10).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l + 2 - 2)*(2 + 3 + 1) + 0*l - 2*l + l + 3*l + 2*l - 6*l + (4*l - 5*l - l)*(0 + 4 - 2).\nAnswer: 6*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 2 q when three letters picked without replacement from {y: 9, k: 2, q: 2, g: 6}.\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*f**3\/7 + 12*f**2\/7 - 10*f\/7 - 24\/7 = 0. Calculate f.\nAnswer: -1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3016.1 - -3015. What is the biggest value in -2\/3, 4, y?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8122 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that d**2\/5 - 273*d + 32184\/5 = 0.\nAnswer: 24, 1341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 + -454 - (-1 + 10 + 0)?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 4*l**2 + 4. Let z(r) = -6*r**2 - 7*r**2 - 7*r**2 - 4 + 19*r**2 + 3. What is w(q) + 4*z(q)?\nAnswer: -q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 35 + 163 = 0. Suppose -4*t - 23 = 2*n - 5*n, -5*t = 2*n. Suppose -n*m - a = 3*a - f, 3*m - 47 = 5*a. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5094004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 40. Let k be b(0). Let o be k*(1 - (-9)\/(-6)). Let u = -14 - o. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 691010?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express -16*i + 38*i - 36*i as f + w*i and give w.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 284 = -196*u + 872. What is the closest to 2 in -0.07, 13, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(2 + sqrt(343) + -1*sqrt(343) + 1)**2 - ((sqrt(343) + ((sqrt(343) - (2*sqrt(343))**2)*3 - sqrt(343)))*-6 + 0).\nAnswer: -24705 + 126*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*p - 69 - 96. Let d be 25 + (1 - -1) - -1. Suppose -3*r + 4*r = d. Calculate the remainder when r is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.1, -4\/3, 0.1921, -1.7, -2\/9, 2?\nAnswer: 0.1921","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2*1\/10*1.\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + 5*b = 761, 0 = 4*y - 3*y - 4*b - 185. Solve 2*i - 183 = -y for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is y in 14*y**5\/5 - 18764*y**4\/5 + 136204*y**3\/5 - 63488*y**2 + 247974*y\/5 - 47988\/5 = 0?\nAnswer: 2\/7, 1, 3, 1333","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -273, -7, 9, 2 in decreasing order.\nAnswer: 9, 2, -7, -273","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*b**3 - 108488 + 108488.\nAnswer: 9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 76678448719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1 + 0. Let p(b) = -3*b - 4*b + b. Give p(q).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p + 24*p - 110 = 0 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l = -g + 19, -g - g = -l - 5. Suppose f - 3*j = -1 + l, 0 = 4*j. What is the remainder when 61 is divided by f\/(4 - 129\/33)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-2*(4 + (sqrt(405) - sqrt(5)) + -2 + 2*sqrt(20) + sqrt(5)*2*6))**2.\nAnswer: 1920*sqrt(5) + 57680","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 141 - 93. Suppose 53*m = j*m + 1005. What are the prime factors of m?\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(3\/8)*w*w*w\/(w\/(w*w**(2\/23)\/w))*w*w*w*(w\/(w**(-13)*w))\/w*w*w*w*w\/((w*w**(-13)\/w)\/w) assuming w is positive.\nAnswer: w**(6709\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -42 + 55. Suppose -h - 5*n - 2 - f = 0, 0 = -4*h - 4*n + 4. Suppose 0 = 4*t + h*k - 29 - 118, -5*k = t - 33. Does 19 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((u\/((u*u**(-2\/13)*u)\/u))\/u)\/(u*u**(-3))*(u*u*u*u**(-2\/7)*u)**(-11\/4))**(14\/3) assuming u is positive.\nAnswer: u**(-1649\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 101103.\nAnswer: 505515","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 3*k = -38 + 9, 3*v - 21 = 3*k. Suppose 2*u - s - 50 = 0, -3*u + v*s + 0*s = -70. What is the highest common factor of 104 and u?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -73 + 51. Let p(w) = 41*w - 8. Let g be p(-3). Let u = n - g. Is u a multiple of 24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -287410 (base 16) to base 2.\nAnswer: -1010000111010000010000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 1618*o + 2. Let g(w) = 13*w. What is s(g(q))?\nAnswer: 21034*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = l + 7. Let j(w) = -w**2. Give j(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74072630 is divided by 14.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 584651 is divided by 83420?\nAnswer: 711","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((sqrt(78)*5 - sqrt(78))*-4 - sqrt(78)) + sqrt(78) + -5*sqrt(78)*-1)\/((sqrt(900)*-6)\/(-2*sqrt(150) + sqrt(150))))**2.\nAnswer: 1573\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 414848977 to the power of 1\/6, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 75962.55 centuries to decades.\nAnswer: 759625.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find c, given that 3*c**4 + 2118819*c**3 - 82637307*c**2 + 845454381*c - 764935896 = 0.\nAnswer: -706312, 1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -10 + -1*0\/4. Is (12\/h)\/(12\/(-400)) a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -45 + 68. What is the remainder when w is divided by -8 + 6 - (1 + 48\/(-3))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 PM and 2:38 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 AM and 1:33 PM?\nAnswer: 586","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -8*t - 8. What is the units digit of a(-15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1825757 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 - (12 + (-225)\/9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -3*f**3 - 14*f**2 + 4*f - 3. Let b be l(-5). Let t(d) = 30*d**2 + 27*d - 54. Is 24 a factor of t(b)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -53 (b) -0.3 (c) 1\/3 (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -2\/7 (b) -900003 (c) -57\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4081819?\nAnswer: 7, 17, 34301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-18)\/14 + 1)*(125 + -118).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 36 = -g, -5*g - 675*x + 680*x = -90. Solve 8*p - n = 3*p - g, 5*n = -4*p - 25 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 9*j**2. Let k(r) = 8*r**2. Give a(k(x)).\nAnswer: 576*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, 139, -2 in ascending order.\nAnswer: -4, -2, 4, 139","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 1, d: 2, a: 1}. Give prob of sequence dz.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 9*(910\/(-300))\/91?\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -101812322*w**6 - 2*w**2 - 21770*w + 78.\nAnswer: -12217478640*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -64\/111 and 32\/147.\nAnswer: 5439","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 0.059785km?\nAnswer: 5978.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 247.92 - 253. Let d = a + 4.68. Is d != -9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (295*p**2 - 869*p**2 - 488*p**2)*(-4 + 14 + 2).\nAnswer: -12744*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1943\/116 + (-34)\/2. Which is the closest to z? (a) -0.3 (b) 0.2 (c) -2\/889\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5504111 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: Simplify (w**5*w**(-3\/4))**(-13)\/(w**5*w*w**(-2\/41))**29 assuming w is positive.\nAnswer: w**(-37365\/164)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 42130 and 656810.\nAnswer: 251558230","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.347 + -2.441. Let h = 37.094 + -37. Let p = s + h. Which is the third biggest value? (a) 3 (b) 0 (c) p (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -21 - (7 + 2 + -17).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 - -275?\nAnswer: 273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -12 - (9 + (-25 - -24))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/7? (a) 0.11 (b) 5 (c) -0.4 (d) -756\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 + 1 - 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 66 + -57. Suppose f*u = 13*u - 36. What is the second derivative of -r**2 + u*r - 4*r**2 + 7*r**2 + r**2 wrt r?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/31 in -1, -0.105, 0.01, -2\/9, -2\/15?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -79 + u + 79 - 71*u**3 to the form f + n*u**2 + o*u**3 + a*u and give o.\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x - 2*h - 5 = -1, -x + 7 = -h. What is the closest to 0.3 in -8, 0.4, x?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*h**4 - 512\/5*h**2 + 256\/5*h**3 + 0 + 2\/5*h**5 + 0*h = 0. Calculate h.\nAnswer: 0, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 748 is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 87326203 to the nearest integer?\nAnswer: 9345","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 + 8*f + 3. Let b be r(8). Let c(o) = -o**2 + 2 + 5 - b*o**2 + 3*o**2. Calculate c(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.75 - -0.25. Let l = -2.5 - m. Which is the nearest to 1? (a) 0 (b) -3\/4 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -5*o - 18. Let r(f) = 5*f + 19. Let t(z) = -5*r(z) - 6*x(z). Let i be t(8). What is the first derivative of 7*v + i + 16*v - 70 wrt v?\nAnswer: 23","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -12*i - 1 - 157 for i.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 644*m - 618*m - 130 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, -180, 9, -5, 3 in decreasing order.\nAnswer: 9, 7, 3, -5, -180","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 64412443 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*j - 18 = -3*c - 13*j, -57*c = -52*c + 8*j - 4 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -53262 + -1?\nAnswer: -53263","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) be the second derivative of 0*c**3 - 2*c + 1\/24*c**4 + 0*c**5 - 1\/8*c**2 - 1\/120*c**6 + 0. Let i(t) = 0. What is t?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of 1\/399*x**7 - 134*x - 18\/95*x**5 - 77\/57*x**3 + 0 + 2\/285*x**6 + 24\/19*x**2 + 43\/57*x**4. Solve c(n) = 0 for n.\nAnswer: -8, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -81*z - 10*z - 14*z + 4884 = 27*z for z.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/24 and (-3*6\/(-45))\/(48\/(-1515))?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*w - 127883 + 344008. What is the least common multiple of 4275 and w?\nAnswer: 29925","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -161*p - 1551 = -164*p. What is the hundreds digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8693334 micrograms in grams?\nAnswer: 0.0000008693334","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1344876 by -13.\nAnswer: 103452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k**11*k\/k**(-15\/11) assuming k is positive.\nAnswer: k**(147\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (9 + -11 - 6) + 13\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 1124, 9394, 32038, 76304, 149440, 258694?\n\"Answer: 1208*u**3 - 61*u**2 - 3*u - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = -p**2 - 6*p - 6. Let b(i) = -i**2 - 6*i - 5. Let m(w) = 3*b(w) - 2*t(w). Let z(j) = 7*j - 56. Let f be z(7). Calculate m(f).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(64) - (sqrt(64) - sqrt(64)*2) - sqrt(64)) + sqrt(64))*-6)\/((sqrt(88)*2)\/sqrt(11) - 2*sqrt(288)).\nAnswer: 12*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 167?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that 2*y**4\/3 - 32*y**3\/3 + 46*y**2\/3 + 152*y\/3 - 56 = 0.\nAnswer: -2, 1, 3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (9\/(-12))\/((-12)\/80). Suppose u*k - 4*k = -2*s + 249, 2*k + 10 = 0. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 8*r = -40. Solve 7*j = 9*j - r for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -903199, -66, 3, -4 in increasing order.\nAnswer: -903199, -66, -4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -10956278*x + 19581671?\nAnswer: -10956278","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 10282997 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cm when two letters picked without replacement from {m: 4, c: 7, j: 5}?\nAnswer: 7\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/3)\/h*h)**5\/(h\/h**1*h*(h\/h**(-3))\/h*h*h))\/((h**(-1))**(-8)*(h**1)**(-4\/9)) assuming h is positive.\nAnswer: h**(-107\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:01 AM and 1:38 PM?\nAnswer: 217","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = h - 1 - 2 + 7. Let s be y(-8). Let o be s\/12 - 2\/(-42). Which is bigger: 1\/3 or o?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -r**2 + 2*r + 5. Let f be s(4). Suppose 15 = -z + 10. Is z < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2904468 and 710?\nAnswer: 14522340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 - -96 - (0 - (-1 - (2 + -2)))?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42571?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 174418945 to the nearest integer?\nAnswer: 13207","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5329*p - 756 + 10654*p - 5331*p + (0*p + 2*p + 0*p)*(5 - 5 - 2) - 1 + 1 - p.\nAnswer: -11*p - 756","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = -69 + 277. Let z(c) = 40*c**2 - 4*c + 3. Calculate the remainder when z(2) is divided by j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 167764?\nAnswer: 503292","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (36\/45*-1)\/((-5)\/((-50)\/(-6)))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 3, q: 9}. What is prob of sequence kq?\nAnswer: 9\/44","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*g - 4*c - 18, -350 = 20*g - 2*c - 394 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * -8216.\nAnswer: 1643.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 95\/56 and 3 + (380\/(-18))\/2?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8160 = -5*t - 19*t. Calculate the greatest common divisor of 272 and t.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (261\/18 + -10)\/(1*6)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 6, x: 4}. What is prob of picking 2 q?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -10*s**3 + s**2 - 6*s - 10. What is the remainder when i(-2) is divided by 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 60*z - 72*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/6 - (-15)\/9. Let l be ((-5)\/3)\/(2\/36). Let s be 9\/2*5\/l. Which is the nearest to u? (a) s (b) -2\/7 (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 1, -5\/11, -0.1, 6, 207?\nAnswer: 207","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(2 + 2*sqrt(200) + -2 + sqrt(200) + -5 + sqrt(200))**2*-3.\nAnswer: -48375 + 6000*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 381937 divided by 5?\nAnswer: 381937\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = -z + 5*v, -z + v = -v - 12. Let t = z + -2. Suppose t*h + 3 = h. Solve -6*q + h*q = -15 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z**(1\/15)*z)*z**6\/z)\/(z\/(z*z**5))**(2\/9) assuming z is positive.\nAnswer: z**(272\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2389995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -11401 - -3?\nAnswer: -11376","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 + 1 - (-11 + 13)) + 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/(-3)*6\/(-2). Let y be (-1 + q)*-1 - 2. Let d = -2 - -2. Put 3, d, y in ascending order.\nAnswer: y, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -x**3 + x**2 + 2*x + 2. Let d be z(0). Let f be -4 + (-311 - 8\/d). Let a = -187 - f. Does 44 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 233, 331, 407, 455, 469, 443, 371?\n\"Answer: -o**3 - 5*o**2 + 120*o + 119","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 0.14985, 2, -1?\nAnswer: 0.14985","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-7*3)\/3)\/(7\/133*19)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-5*u**2 - u**2 + 4*u**2)*(0*u + 6*u - 4*u) - 2*u**3 + 2*u**2 - 2*u**2 - 3*u**3 + u**3 + u**3)*(-42*u - 50*u + 73*u)*(0*u + 2*u - 3*u).\nAnswer: -133*u**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -13043 - 6341?\nAnswer: -22414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7177*a**3*k**2 + 6*a**3*k*n**2 - 2*a**3*k - 6*a**3 - a*k**2*n**2 - 26*k**2 + 3849*k wrt k?\nAnswer: 14354*a**3 - 2*a*n**2 - 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z = -2*t + 3 + 3, -t - 4*z + 3 = 0. Solve 6*q = 7*q + t for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 774989632?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5401*d**3 - 7965*d?\nAnswer: -32406*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -4*a**3 + 12*a - 94. Let k be l(0). Suppose -4*r - 151 - 225 = 0. Does k = r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6333 (base 7) to base 16\nAnswer: -8b5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 8319, 8314, 8309, 8304, 8299?\n\"Answer: -5*w + 8324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 124 and 165106?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -19 + 23. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 2*v = -2*s + 12, 12 = 4*s + 4*v. What is the remainder when s - (-5)\/((-5)\/(-54)) is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rraeororn. Give prob of sequence oae.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 x when two letters picked without replacement from {y: 3, x: 13, p: 3}.\nAnswer: 13\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -575 + 955. Let n = a + -380.0403. Round n to 2 decimal places.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 7666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:18 AM and 1:27 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95268277?\nAnswer: 13, 23, 29, 10987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6027 + 6019. Put -5, q, -3\/7, -4, -1 in ascending order.\nAnswer: q, -5, -4, -1, -3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*y**2 + y**2 + 2*y**2 - 3*y**2 + 6*y**2 - 2*y**2 + (0*y + 2*y - y)*(0*y - 2*y + 3*y) - 2*y**2 - 4*y**2 - y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, 7, -4, 6.\nAnswer: -5, -4, 0, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300951129*k**2 + 50*k - 38332 wrt k?\nAnswer: -601902258","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -2*a, p + 9 = 2*a - 2. Let r(d) = 0*d**3 - 3*d**a + d**2 + 3*d - 3 + 1. Determine r(2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1274419?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70811.\nAnswer: 13, 419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {b: 3, t: 1, w: 1, f: 3, u: 1, q: 2}. Give prob of picking 2 f.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0.42, 2\/66199, 2?\nAnswer: 2\/66199","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 2.2935 and 7 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1088)\/(-12) + 2\/(-3). Suppose 5*k = -4*p + 498, -4*k + 3*k = -4*p - j. Let d = 12 - -2. Calculate the highest common factor of k and d.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -5301*x**3 + 133*x**2 - 399. Let r(p) = -241*p**3 + 6*p**2 - 18. What is -6*b(j) + 133*r(j)?\nAnswer: -247*j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -7, 2, -19 in ascending order.\nAnswer: -19, -7, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1 - -0.2. Let o be (-6)\/3 + 10\/4. Which is the nearest to o? (a) -0.5 (b) -0.1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine t so that -387*t**2 + 594447*t\/8 - 360 = 0.\nAnswer: 5\/1032, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 181, 171, 155, 133?\n\"Answer: -3*c**2 - c + 185","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find k such that 2*k**2\/9 + 124*k\/3 - 126 = 0.\nAnswer: -189, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 2 + 2)*(-2*a - 2*a**2 + 2*a) - a**2 + 4*a**2 - 2*a**2 + (0*a**2 - 5*a**2 + 4*a**2)*(1 + 4 - 3) - 2*a**2 + a - a - a**2 + 0*a**2 + 4*a**2.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4458.\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-5)\/(-1) - (4 + -2). Suppose h*p = -5*w, 4*p - p - w = 18. List the prime factors of p\/(10\/4) - -3.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 821 - 811. Is 17 at least k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y + c = -3*c - 20, y + 7 = -3*c. Let q be 33\/(y\/12*-3). Suppose 5*g = 2*x + 50, 2*g - g = 5*x + q. Is g a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1032 and 645?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1787711 and 283?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) 2\/57 (c) 0.4 (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 21978, 87017, 195408, 347145, 542222, 780633, 1062372, 1387433?\n\"Answer: -n**3 + 21682*n**2 + 297","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/(-6)*-3 + 3. Suppose n - 5*p + 6 = 2, 0 = -t*n + 4*p. Let v = n + 11. Is 6 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n = -4*o + 2899, -17*o - 2179 = -20*o + n. What is the remainder when o is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that k**4\/5 - 11*k**3 + 828*k**2\/5 - 364*k - 2704\/5 = 0.\nAnswer: -1, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 6. Let j be (2\/h)\/((-7)\/(-21)). Let x(a) = 2*a**2 + 1. Let z be x(j). Solve -q + z = 6 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 731?\nAnswer: 365.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -31 + 32. Suppose y - 2*b - 4 = 0, -y + 3 + s = b. Suppose m + y*a + 3 = -3, -6 = 3*a. Solve 20 = 6*g - m*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/(-6) - -2 - (-503)\/3. Let p(c) = 105*c**2 + 26*c - 26. Let r be p(1). What is the highest common factor of r and t?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jgggjogog. Give prob of sequence ojjg.\nAnswer: 5\/756","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 303 minutes before 10:36 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-3900)\/45*(-2 - 28\/10). Suppose -4*r + 320 + z = 0. What is the greatest common divisor of r and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -2 + 0 - ((-2)\/1 - (30 + -27)). Let j be (-2)\/(-5) - 17\/5. Let x = -0.3 + 0.3. What is the third smallest value in p, 4, x, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from macmguya. Give prob of picking 1 g and 1 y.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -0.1422.\nAnswer: -0.01422","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12414953 = 3*q + 4617182. Let l = q + -4779257. What is l rounded to the nearest 100000?\nAnswer: -2200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -100*w**4 + w - 24 wrt w?\nAnswer: -400*w**3 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-150)\/(4 - (-1378)\/(-344))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -l**3 + 8*l**2 - l - 2. Let z be w(7). Let f = -27 + z. Solve 4*v - f = 3*n, 2*v - 5*n - 8 = 9 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = -708*s**2 - 3*s + 715*s**2 - 10*s. Let q(k) = -k**2. Calculate a(q(r)).\nAnswer: 7*r**4 + 13*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3160 = 461*m - 989 for m.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 8*l = 96. What is the remainder when 46 is divided by l?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = 21*j + 4. Let l be d(-2). Let w = 34 + l. Let i(s) = -s**2 - 3*s - 1. Calculate i(w).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -z**2 - 10*z - 8. Let y be m(-10). Let p(f) = -2*f - 11. Let x be p(y). Suppose -57 = -x*u - 2. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -3*(-20)\/72 - (33\/18 + -3). Factor -14\/3*k**4 - 26\/3*k - 12*k**3 - 44\/3*k**j - 2 - 2\/3*k**5.\nAnswer: -2*(k + 1)**4*(k + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 17 + -17. Let x(f) = -f**3 - 7*f**2 + 9*f + 3. Let q be x(-8). Which is the nearest to 0? (a) q (b) 3 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1723 = -404*q + 1913 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 1:46 PM?\nAnswer: 5:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/(16\/40*1\/4)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**3 - 10*l**2 + 8*l**2 + 3*l**2 - 9247*l + 195 + 9240*l to the form u*l**2 + r + f*l**3 + i*l and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*u**2 - 35*u + 7*u**2 - 2*u**2 - 7*u**2 - 10 + 15*u to w + i*u + x*u**2 and give w.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 3 = -2*m. Let i be -1 - (m\/(-1))\/3. Let p(n) = -n**3 + n**2 - n + 77. Is p(i) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1*(-8)\/(-10)*-5. Let d = a + 27. What is the remainder when d is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b\/b**1*b)*b*b)**(-3\/2)\/(b**(2\/9)\/b**(-1\/7)))\/(b*b**(1\/8)*b*((b\/b**(-5))\/b)\/b*b)**(-34\/3) assuming b is positive.\nAnswer: b**(19123\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25, 25, 33, 55, 97, 165?\nAnswer: 265","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1101 (base 4) to base 14.\nAnswer: -5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*d**3*q**3*v**3 + 7*d**3*q - d**2*q**3*v**2 + 412*d*q*v**5 - 6*q**3*v wrt v?\nAnswer: 54*d**3*q**3 + 24720*d*q*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 837524.6cm?\nAnswer: 8375246000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in one tenth of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (-160)\/(-14)*-11*455\/1430?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4 + sqrt(468)*3)**2 - (sqrt(13) + 2 + 0 + sqrt(13) - (sqrt(468) + 5)**2).\nAnswer: -14*sqrt(13) + 4707","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3\/5, 4, -2, -54\/29, 27, 0.3?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 413 (base 6) to base 3.\nAnswer: 12200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-9)*d**(-6))\/((d*d**(1\/8))\/(d*d**(-1\/6))) assuming d is positive.\nAnswer: d**(-367\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 865?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6153665.\nAnswer: 5, 7, 25117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 4 = n. Sort n, 0.3, -17 in decreasing order.\nAnswer: 0.3, n, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -254 + 1376. Is 66 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) be the first derivative of 28 - 16\/3*g + 64\/3*g**2 - 20\/3*g**3. Factor x(z).\nAnswer: -4*(z - 2)*(15*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 146 = -0*r + r, -4*b + 148 = -2*r. Let n(p) = -p**2 - p. Let d be n(0). Let i be 90 + d\/(-3) - 0. Calculate the highest common factor of i and b.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.3, 0, 2, -4042, -1, -3, 224?\nAnswer: -4042","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*j + 777 + 167 - 1534 = 0 for j.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 10, 0.2, -4, -0.092, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-22)\/(-8) - 3)*-1816 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(-1)*1)\/((-2)\/(-6))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = -3*r + 2*h, -3*r + 2*h + 17 = 2*r. Solve a = f + 2*f, 0 = r*a + 4*f - 19 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (2\/4)\/(11\/66). Let q = 0.3 + -0.4. What is the third biggest value in q, d, 5?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40\/220 + 33702\/11.\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -o**2 - 4*o - 3. Let s be q(-2). Let k = -74 - -664\/9. Which is the second biggest value? (a) s (b) -4 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4\/10 - (-2365)\/25 is divided by 24.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -21. Let r be 245\/15 + 6\/v. What is the highest common factor of 187 and r?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -202? (a) -17 (b) 18 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 25 = 0, 0 = -3*b + 11*p - 9*p - 7 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**2 - 5*z - 3. Let w be s(5). Let j(v) = -4*v - 6. What is the units digit of j(w)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yxpcxecj. Give prob of sequence ecj.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18487 and 278?\nAnswer: 139","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 74564?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 i when two letters picked without replacement from {l: 13, i: 3}?\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -10, 0.89, 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = o**2 - 26*o + 19. Let g be z(23). What is the remainder when 3 is divided by (-20)\/g*2\/(4\/5)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 232 = 3*g - 2*h - 2*h, 0 = g + 4*h - 104. Let x be (-465)\/9*((-220)\/(-50) + -6). Which is smaller: g or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 382387\/2991 < 129?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3817745.\nAnswer: 5, 763549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2.9 or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**3 + 55*c**2 + 370*c - 256. What is t(61)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2)\/(-5)*20\/2. Let m = 2 + n. Does 6 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3169971?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 683 (base 11) to base 5\nAnswer: 11232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18 is divided by 9.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66739?\nAnswer: 66739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 504 divide 67592952?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (48*y + 226*y - 38 + 38)*(2*y - 2*y - 4*y**3).\nAnswer: -1096*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31 is divided by 20.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12626 is divided by 5799?\nAnswer: 1028","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 2*y + 11. Let h(o) = 6*o. Give h(m(g)).\nAnswer: 12*g + 66","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 2 = -5*c, -55*b - 12 = -4*c - 54*b for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -11 - -4. Let l = m - -9. What is the tens digit of l*1 - (-37 - -5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4)\/(-125))\/((1150\/125)\/23).\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = b**2 + 7*b - 5. What is m(7)?\nAnswer: 93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*r + 10*r = 5 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1392?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 556 minutes after 2:09 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 417 + -371 - (-1 + 10) - -24.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 22, 30, 40, 52?\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*m = 5 + 3. Let q(h) = 3*h**2. Is q(m) a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - 2 - (0 + 3).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 397, -0.5, -2, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*x**5 - 2221*x**4\/3 + 302*x**3 + 1463*x**2\/3 - 60*x - 52\/3 = 0 for x.\nAnswer: -2\/3, -1\/7, 1\/4, 1, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -98, -94, -92, -92?\n\"Answer: -z**2 + 7*z - 104","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:55 PM and 3:28 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*g + q - 17 = 0, -2*g + 10 - 2 = 4*q. Let h be ((-22)\/g - 0)*-3. Calculate the highest common divisor of 44 and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 152 minutes before 10:25 PM?\nAnswer: 7:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2320232 - -3?\nAnswer: -2320223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -118 + 122. Suppose -2*t + 0*t = -s*b + 58, -3*t + 11 = b. List the prime factors of (5 + -1)*(-1 + b).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, l: 11}. What is prob of sequence nln?\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**4\/2 - 420*g**3 + 26140*g**2 - 714000*g + 7225000.\nAnswer: 5*(g - 50)**2*(g - 34)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.9255 - 0.0745. Which is the smallest value? (a) -8 (b) k (c) -2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/10*(-14)\/(168\/15).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 1 = -4*w, -3*w + 12 = -4*f - 5. Put f, -3, 0 in increasing order.\nAnswer: f, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 49 and 6762.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 101*q**2 - 25*q + 66. What is the tens digit of l(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 438468 to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 3*h. Let f(t) = 4*t - 88. What is f(m(l))?\nAnswer: 12*l - 88","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (s - s - 2*s)*(-1 - 2*s + 1) + s - 39*s**2 - 4 + 3 + 2 to w*s**2 + b*s + x and give x.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9829 = 276*r - 997 for r.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 88742606111 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hh when two letters picked without replacement from hhxhhhhhhqhfh?\nAnswer: 15\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 35482?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8.09 + 0.09. Let t = 5 + z. Let g be 4\/14 - (-8)\/(-126). Which is the closest to g? (a) -1\/3 (b) -5 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 605 and 242.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-21 - 22*p**3 - 3*p**2 + 21)*(23 + 26*p - 22 - 3*p).\nAnswer: -506*p**4 - 91*p**3 - 3*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(847)*-2*-2 - sqrt(847) - sqrt(847) - (sqrt(847) + sqrt(847) + 0 + -5) - (-4*-1*sqrt(847) + 1 + sqrt(847)*-1)))**2.\nAnswer: -2376*sqrt(7) + 68751","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 7*o - 13. Let y be c(2). Let j be (4*5\/(-10))\/y. Let h(f) = 3*f - 4. Let s(z) = 4*z - 4. What is j*s(m) + 3*h(m)?\nAnswer: m - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -287, -279, -259, -221, -159, -67, 61?\nAnswer: 231","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 36\/(-96) + 54\/16. Suppose 2*t - i*y = 4*t - 589, 4*t - 1171 = y. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*y - 3*y + y)*(y - 5*y - 3*y)*(6 - 8*y**2 - 6 + (0 + 4 - 2)*(2*y**2 + 0*y + 0*y)).\nAnswer: -56*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -2110 (base 3) to base 13\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -160*y - 32121286 + 32142246 for y.\nAnswer: 131","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 3669*b**2. Let j(l) = 5*l**2 + 14. Give j(d(f)).\nAnswer: 67307805*f**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 8 - 232 = 0. Let i = j - -66. What are the prime factors of i?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*k - 513 - 2043 = 759 for k.\nAnswer: 39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 7071*z + 1921*z - 2493*z in the form a*z + f and give a.\nAnswer: 6499","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zrjjjjjrrbtrf. What is prob of sequence jz?\nAnswer: 5\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -64 - 1 - (-20835 + 20860).\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + (3*(sqrt(50) - sqrt(150)\/sqrt(3)) - (5 + sqrt(2450))) + -3)**2.\nAnswer: 420*sqrt(2) + 2486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -6*l - 5. Let d be u(-2). Sort -3, d, 2 in descending order.\nAnswer: d, 2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-13124*y**2 - 16018*y**2 + 34533*y**2)*(2*y**2 - 2*y**2 - 2*y**2).\nAnswer: -10782*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*o**3 + 79*o + 2106*o**2 - 2108*o**2 - 48*o.\nAnswer: -9*o**3 - 2*o**2 + 31*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -15, 660, 0, 2\/17?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 104857480 is divided by 343.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*j**2 - 3*j**3 + 3*j**2)*(3*j**2 + j**2 - 2*j**2) + (2*j**4 - 6*j**2 - 26*j**5 + 6*j**2)*(1 + 0 + 0).\nAnswer: -32*j**5 + 2*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) be the second derivative of -211*t**7\/21 + t**4\/6 + 45*t**2 + 314*t. Find the third derivative of c(u) wrt u.\nAnswer: -25320*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a century in years?\nAnswer: 350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 72613 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = u - v + 3*v, -2*u + v + 11 = 0. Let l(w) = -4 + u*w + 1 - 2*w. Let g be l(4). Let h(n) = 8*n**3 - 2*n**2 + 1. What is h(g)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*r**4 - 2*r**4 + 0*r**4 - r**4 + 0 + 0 + (2*r**4 + 0*r + 0*r)*(-1 + 0 + 0) + r**4 + r**3 - r**3 + 3*r**2 - 3*r**2 + r**4 - 1.\nAnswer: -3*r**4 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -21 - -37. What is the remainder when 30 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 3, j: 1}. What is prob of picking 1 r and 1 b?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*q + 0 + 47*q**2 - 99*q**2 + 54*q**2 - 2*q - 15*q**3 + 1 to the form j*q**3 + d*q**2 + o + r*q and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-1768*u**2 - 2801990 + 2801990)*(3*u + 5*u - 3*u).\nAnswer: -8840*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 112534 (base 7) to base 5.\nAnswer: 1121124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14, 4, -54 in decreasing order.\nAnswer: 14, 4, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = r**3 - 7*r**2 + 7*r + 1. Let u(x) be the second derivative of 7*x**5\/20 - x**2\/2 - 6*x. Let v be u(1). Determine s(v).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 395 + -350. Let y(z) = -z**2 + 8*z + 8. Let r be 2\/4*(-3 - -17). Let k be y(r). What is the highest common divisor of k and f?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -153*w**2 - 24*w = 0?\nAnswer: -8\/51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.3 + 1.3. Let z be (5\/(-25) + 1)*(-8)\/(-16). Let c = 0.06 + -0.46. What is the third biggest value in z, o, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2229 - 2239. What is the fifth biggest value in -3, -4, 4, 0.5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 2*b**4 - 24208*b**3 + 2524974*b**2 - 62185320*b - 209934504 = 0?\nAnswer: -3, 54, 11999","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34.7 - 34.8. Let x = 391\/4 + -97. Which is the nearest to 0.6? (a) 0 (b) x (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1542115.\nAnswer: 5, 308423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:27 AM and 4:13 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 3, t: 1, r: 5, s: 2, x: 5}. What is prob of picking 1 r and 2 s?\nAnswer: 1\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -4 and -29115434.\nAnswer: -29115438","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1511499?\nAnswer: 3, 11, 163, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -45869\/10 - -22932\/5. Which is the closest to m? (a) 2 (b) -2\/9 (c) 3\/5 (d) -3.92\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 87*s + 377. Determine q(-4).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 142463 + 49190.\nAnswer: 191653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = -5*q + 4*b + 45, -34 = -3*q + b. Suppose -6*k = -q*k + 581. Does 25 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30570*d - 30607*d - 555 = 0 for d.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-240)\/(-56) - 2\/7. Suppose -h + 15 = -5*u, u - m*h = 14 + 2. Let x be 8\/28 - u\/(-14). Put 1, x, -1 in descending order.\nAnswer: 1, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3601426 (base 9) to base 14.\nAnswer: -38a75c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = 19*a**3 - 4*a. Let v be (-2 - -3)*-4 - -8. Let o(s) = 18*s**3 - 3*s. Determine v*o(k) - 3*i(k).\nAnswer: 15*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -16, 18\/41, -1, 0.049 in descending order.\nAnswer: 18\/41, 0.049, -1, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*h = 4*h + 60. Suppose h = -12*s + 7*s. Which is the closest to -1.1? (a) 1 (b) s (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**5 - 210962*z**4 + 5563437116*z**3 - 16689045596*z**2 + 16688623682*z - 5562804242.\nAnswer: 2*(z - 52739)**2*(z - 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 472340311?\nAnswer: 4903, 96337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -849.1731 - -849.6. Round m to three decimal places.\nAnswer: 0.427","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 79832407?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -4288135 and -4288058 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 49\/44 - 15\/11. What is the closest to -0.2 in 0.7, m, 1\/10?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z + 3 = 7. Let w be (1 + 0)\/(z\/(-11)). Let 0*p - 9*p**2 + p + w*p**2 - 2 + 2*p - 3*p**3 = 0. What is p?\nAnswer: -1, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 188*g - 135 = 185*g + 4*w, -5*w - 135 = 3*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 3*y + 5*v + 10 = 0, -3*v + 6 = 0. Let t = 2\/1561 + 10887\/31220. Calculate the common denominator of t and 1\/(y + (-1176)\/292).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -50443, -100904, -151365, -201826, -252287, -302748?\nAnswer: -353209","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**3\/t)\/t)\/t)\/t*t**(2\/35) assuming t is positive.\nAnswer: t**(-33\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -4, 2, 700, 83, -1, 5 in ascending order.\nAnswer: -5, -4, -1, 2, 5, 83, 700","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 29473 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 515579 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x = 2*o - 9, 4*o = -4*x + o + 5*o + 22815 - 22819 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/(-12) + ((-19)\/(-57))\/((-7)\/(-21))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28914, 28911, 28904, 28893, 28878, 28859?\nAnswer: 28836","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -128*x**2 - 29*x - 193*x - 74*x**2 - 60*x**2 wrt x.\nAnswer: -524","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -2*c + 6. Suppose 2*v + 11 = 3*q, 4*q - 2 = c*q - 4*v. Suppose q*t - 29 = 1. What is the units digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 440325 and 968715?\nAnswer: 4843575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1 + 22246?\nAnswer: 22250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 2*z**2 + 2*z + 1. Let k be i(-2). Suppose 0 = 3*s - k*h, 3*h - 6*h - 4 = -s. Which is the smallest value? (a) -1\/7 (b) 4 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3374?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 7. Let g be -8 - (-3 + (-2 - -3)). Let i(y) = y**3 + 7*y**2 + 6*y - 5. Let u be i(g). Put u, -1, c in descending order.\nAnswer: c, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 174 and 87180?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 11*(2 - 3) + 1. Let b be (-135191)\/(-35) + (-4)\/x. Let i = b + -27095\/7. What is the common denominator of i and -53\/7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -215807 rounded to the nearest one thousand?\nAnswer: -216000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1022.\nAnswer: 2, 7, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((s\/(s**(-24)*s))\/s)\/s**(-22\/9))**(-25) assuming s is positive.\nAnswer: s**(-5725\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the second derivative of -w**4\/4 + 2*w**3 - 6*w**2 - 8*w. Find a, given that i(a) = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -15*t. Let q(v) = 104*v. Determine 44*i(l) + 6*q(l).\nAnswer: -36*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/9)*o**(5\/6)*o**(-1\/2)*o**(-2\/9)*o**(4\/9)\/(o*o*o\/(o\/(o\/(o\/o**(1\/3)))*o*o))*o**(-2\/7)*(o**(-3\/5)\/o)\/o assuming o is positive.\nAnswer: o**(-769\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hd when two letters picked without replacement from hdohodhhodahossdhh.\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6268?\nAnswer: 2, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.906 or 2.2?\nAnswer: -2.906","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 20731, -1, 22 in increasing order.\nAnswer: -3, -1, 22, 20731","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00359708651 to seven decimal places.\nAnswer: 0.0035971","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2599 + 3259. List the prime factors of c.\nAnswer: 2, 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = 49*x**2 - 2*x + 1. Let q be (-1 + 2\/3)\/(33 - 2940\/90). Calculate z(q).\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7259, -14528, -21797?\nAnswer: -29066","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = q**2 + 7*q. Let n(p) = 2*p**2 + 14*p. Let m(h) = -13*i(h) + 6*n(h). Let x be m(-6). Solve 2 = 2*l + x for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/161680092?\nAnswer: -1\/161680092","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + -57. Let x = l + 32. Let o = 31.9855 + x. Round o to 3 dps.\nAnswer: -0.015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 87*g = 82*g + 35. Let q(l) = -9*l**2 - 7*l. Let i(p) = 4*p**2 + 3*p. Give g*i(t) + 3*q(t).\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) be the third derivative of m**6\/120 + m**4\/4 - m**2. Let o(k) be the second derivative of j(k). Is o(2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2000)*-1)\/(-1*sqrt(4)*-3).\nAnswer: -10*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -104 - -125. Let c(f) = 2 - 6 + 5*f - 6*f + 3. Let w(h) = -8*h - 7. Calculate t*c(r) - 3*w(r).\nAnswer: 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3028\/11 + -276. Let y = -169633\/33 - -5140. Let x = y - r. Which is the nearest to x? (a) -2 (b) -1 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -48, -5, 1, 3, 5 in descending order.\nAnswer: 5, 3, 1, -5, -48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-45)\/(-25))\/(6\/5). Let n(k) be the first derivative of -16 + k - m*k**2. Let d(b) = 4*b - 1. Calculate -2*d(u) - 3*n(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1 + (3 + 0)\/3. Suppose u*b + 96 = 6*b. Is 8 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3586660 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 11330001012 (base 4) in base 11?\nAnswer: 973506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 40.75 - 41. Let q = 0.250000026 + i. Round q to seven decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/1*(-26336)\/(-16460))\/(2\/(-95))?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - 2\/1)\/(-1). Let n(f) = -7*f**3 - 2*f**2 - f. What is the remainder when 11 is divided by n(v)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 35364 and 84.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n - 1. Let h be x(5). Suppose -h*j + 0*j = -12. What is the derivative of w**4 + 1 + 1 - j wrt w?\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ppi when three letters picked without replacement from ggggpip?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 25 + -25. Suppose v = -r - 2*r + 12. What is the third biggest value in 1\/3, 0.03, r?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 50 and 1750.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3 + 5 + (-5 - -1) - -30. Suppose s*q - 24*q - 10 = 0. What is the fourth biggest value in -4, 5, q, -2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -g**2 + 141*g - 3242. Calculate i(29).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 941 a factor of 168646961?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 464 - 223. Let c(h) = -241 + h + x. Let y(n) = 21*n - 7. Let j(z) = -7*z + 2. Let d(u) = 21*j(u) + 6*y(u). Give c(d(b)).\nAnswer: -21*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 649.3374 weeks in days?\nAnswer: 4545.3618","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1336659 is divided by 334155.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11504 and 89586?\nAnswer: 515298672","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -23 + -9ec?\nAnswer: -a20","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 696741239?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 326501424?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 58 is divided by 7.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -5*g**3 + 35*g**2 - 15*g - 65. Let j(k) = 3*k**3 - 18*k**2 + 7*k + 32. Let b(c) = -5*j(c) - 2*l(c). Factor b(y).\nAnswer: -5*(y - 3)*(y - 2)*(y + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -60 (base 13) in base 8?\nAnswer: -116","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -38*x**4\/9 + 784*x**3\/3 - 5230*x**2 + 37500*x - 54000 = 0. What is x?\nAnswer: 36\/19, 15, 30","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 l and 1 y when two letters picked without replacement from ibpllly.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (19\/12)\/19*88.\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 152771507?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -317 - -322. Let h(r) be the first derivative of -3\/35*r**x - 4 + 0*r - 3\/7*r**3 + 3\/14*r**2 + 9\/28*r**4. Factor h(t).\nAnswer: -3*t*(t - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -277074.5*-64.\nAnswer: 17732768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 7100.234 millilitres in litres?\nAnswer: 7.100234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -c - 14*c**2 + 5 + 185*c**2 - 175*c**2. Let g(n) = n**2 - 1. Give -6*g(j) - z(j).\nAnswer: -2*j**2 + j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 65 + -63. Solve -y = 2*l - 4 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16 + -3 - (0 - 4)\/(-4). Let d(l) = 957*l**2 + l**3 + 23 + 7 - 972*l**2 + x*l. Determine d(14).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.019589406 to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 8*q - 5. Let v be w(6). Solve 0 = -2*z + v*z - 5 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 17 - 29. Let m = -23 - p. Is m + 74 - (-1 - 1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32616992 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 482713?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28150 at least 14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -61, -139, -233, -349, -493, -671?\n\"Answer: -q**3 - 2*q**2 - 65*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 61*g + 4*j = 55*g + 12, g = 3*j + 2 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = -7*z + 10*z. What is the least common multiple of 16 and z?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) be the first derivative of 3*m**5\/80 - m**4\/2 - 9*m**3\/8 - 23*m - 24. Let z(j) be the first derivative of u(j). Find f, given that z(f) = 0.\nAnswer: -1, 0, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8952064*q**5\/7 + 8946080*q**4\/7 + 5983*q**3\/7 + q**2\/7 = 0.\nAnswer: -1\/2992, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(567)*1 + -4 + (5*((-1*sqrt(567) - sqrt(567)) + sqrt(567)))**2) - (3*(sqrt(567) + 1) - (-6*(sqrt(567) + 1 + sqrt(567)) + sqrt(567)))*1.\nAnswer: -90*sqrt(7) + 56675","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:48 AM and 7:21 PM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 118819 is divided by 59323?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -1527 (b) 25 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 times 1.808?\nAnswer: -19.888","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8200152 years to months.\nAnswer: 9.8401824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -81 + 106.7. Round t to the nearest integer.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -770, -769, -768, -767?\n\"Answer: i - 771","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r\/(r**(-1\/6)\/r)*r)**(3\/31)\/((r*r\/r**(2\/9))\/r)**24 assuming r is positive.\nAnswer: r**(-3415\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 418 (base 11) in base 14?\nAnswer: 27d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 85\/((-54)\/(-54) - 2\/1). Let j(i) = 176*i - 1. Let m be j(1). Let s = m + a. What are the prime factors of s?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (112\/84)\/((-330)\/33)*-9?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 72 and -109.33.\nAnswer: -7871.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 56*s - 58*s = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -65909927 + 7653.9.\nAnswer: -65902273.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -84, -223, -412, -651, -940, -1279, -1668?\n\"Answer: -25*i**2 - 64*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u + 2. Let f(a) = 1. Let k(c) = -f(c) - n(c). Let w be k(-5). Suppose -w*j - j + 108 = 0. Is j a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -y - 4*i - 4, 4*y - 32 = 4*i. Let n(z) = -4*z - y*z + 3*z. Let u(k) = 0*k**2 + 4*k**2 - 4 + 4 - 3*k**2. Determine u(n(h)).\nAnswer: 81*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 8*u + 12. Let d(w) = w**2 + 18*w + 24. Determine 3*d(o) - 7*s(o).\nAnswer: 3*o**2 - 2*o - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*i**3 + i**3 - i**3 + (12 - 12 - 2*i)*(0*i**2 + i**2 - 2*i**2 + (2*i - 4 + 4)*(-i + 0*i + 3*i)) to w*i + h + q*i**3 + k*i**2 and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) be the second derivative of o**4\/12 + 2*o**3\/3 - 3*o**2 - 2*o. Let y be u(-7). Let n = -13 + y. Solve -2*a = -3*h - 19, -h = -n*h + 4*a - 23 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -6*f*n**4 - f*n**2 + 3218*f*n - 3*n**5 - n**4 wrt n.\nAnswer: -144*f*n - 180*n**2 - 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 114576?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9, -15, -61, -135, -243, -391, -585, -831?\nAnswer: -1135","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of l**4\/12 - 2*l. Let v be 6\/(-15) + 12\/5. Let z(n) = -5 + 5 + n**v. Give j(z(r)).\nAnswer: r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23*(-182)\/2990*20\/(-9)*(-3)\/(-2)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 14 = -6 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 57840 to the nearest integer?\nAnswer: 240","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from viiidddiviiivivdi. What is prob of picking 1 i and 2 d?\nAnswer: 27\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -90, -133, -176?\nAnswer: -219","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -39759, -39766, -39773?\n\"Answer: -7*u - 39752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1006187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 15 in 45, -0.2, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from tttlvtvvvv. What is prob of picking 2 t and 1 v?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 30899 divided by -148\nAnswer: -30899\/148","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that -g**5\/6 + 8502*g**4 - 153022*g**3\/3 + 68008*g**2 = 0.\nAnswer: 0, 2, 4, 51006","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1111111?\nAnswer: 10000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -14.7 - -14.699901. What is w rounded to five decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**2 - 3*a + 7. Let k be v(4). Suppose -28 = -3*n + k. What is the remainder when n is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -136 or -56980?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 28251260 by 1.\nAnswer: 28251260","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*u - u + 5*u + (-u - 3*u + 6*u)*(-3 + 0 + 1) - 4*u + 0*u - u)*(2*u - 2 + 2).\nAnswer: -14*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -119 = -12*n + 3*t + 41 + 2, -50 = t for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2 (base 3) to base 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 + 1)*(909 - 110 - 274 - 298 + 9*x).\nAnswer: -18*x - 454","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - 3*x)*(x**3 + 2*x**2 + x**3 - 8*x**3).\nAnswer: 18*x**4 - 6*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 t when two letters picked without replacement from tttpppttqpptt.\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 + -9 + 10 - -1*(3801 - -1) a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 6\/13 in -7\/5, -3\/2, -10, -7?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 24 - 56. Let g = -16 - x. Let f be (-4)\/g - (-9)\/4. Solve c = 2*c + f for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2072071020 rounded to the nearest 100000?\nAnswer: 2072100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - v + 11 = 0, -3*q + 33*v = 31*v + 2. Solve 0 = b + r + 1, -4*r + q = 0 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -206, -34189, -2 in ascending order.\nAnswer: -34189, -206, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2028*z**5 - z**2 + 147*z?\nAnswer: 121680*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/258 and -13\/688?\nAnswer: 2064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -181893 and 2?\nAnswer: -363786","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/5 (b) -0.2 (c) 4 (d) 27 (e) -2\/161\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12899, 12904, 12921, 12956, 13015, 13104, 13229, 13396?\nAnswer: 13611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.1 - -0.1. Let z = 51.207 - 51.507. Put -3\/4, z, d, -7 in ascending order.\nAnswer: -7, d, -3\/4, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*t + 183 = 140*t - 289. Let -12*d**3 + 3\/2*d**t - 3\/2*d**2 + 12*d + 0 = 0. What is d?\nAnswer: -1, 0, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5.4, -2\/23, -1\/10, 5, 0.2, 2 in ascending order.\nAnswer: -5.4, -1\/10, -2\/23, 0.2, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*w - 10*w + 158004 = 28*w + 160336 for w.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -203 + 205. Let c = -315 + 353. Calculate the greatest common divisor of c and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 + (-913)\/66)*(-8)\/(-14).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o + 4*x + 104 = 0, -4*o + 4*x + 71 = -153. Let n = 66 - 60. Suppose 10*m - o = n*m. What are the prime factors of m?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/(-3) - (-293)\/3. Let x(n) = 430*n - 18850. Let c be x(44). Calculate the greatest common factor of h and c.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 184998271 a multiple of 205?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 260*q - 3*q + 124*q.\nAnswer: 381*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rwwr when four letters picked without replacement from {w: 7, r: 12}?\nAnswer: 77\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 4*o**2 - 10*o - 3. Let m(x) = -x**2 + 1. Suppose 0 = 108*b - 106*b - 2. Calculate b*k(a) + 5*m(a).\nAnswer: -a**2 - 10*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -274\/7 + 39. What is the smallest value in o, 2\/5, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3109 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-852)\/3360 - (-301)\/1505\nAnswer: -3\/56","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-26)\/4290*-55)\/(2\/(-156))?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1331 + 43301?\nAnswer: 45032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (0 - 0)*(-5)\/(-5). Suppose g = -3*h + 6 + 12. Find the third derivative of 2*b**h - 6*b**6 + 2*b**2 - 7*b**2 + b**6 wrt b.\nAnswer: -360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a - z + 402 = 0, a - 142 = -2*z - z. Let x(v) = -53*v**3 - v - 1. Let q be x(-1). Suppose 5*o = 42 + q. What is the highest common factor of a and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 632 and 2449.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes after 11:14 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6577 (base 10) in base 15?\nAnswer: -1e37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 495235 to the power of 1\/7, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/5*d + 0 + 13\/5*d**2.\nAnswer: d*(13*d - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 151431 and 151398 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0 + 2. Let s be -2*(w + -3 + 2). Let x = s - -5. Solve x*o + o = 20 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 422.6 - 421.6. Let q = -743\/5 + 148. Sort 3\/2, q, t.\nAnswer: q, t, 3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = g + 3*c + 27, 0 = 4*g - 3*c + c - 8 for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-12)\/16)\/((-102)\/(-8))?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 6 = 2*u - 3*r, -2*r - 4 = -2*u. Suppose -5*k + 2*g = -u*k - 50, k + 2*g = 22. Solve -2*h - k = 2*h for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the second derivative of -7*j**4\/24 - 5*j**2 - 2*j. Let c(d) be the first derivative of k(d). What is the remainder when c(-3) is divided by 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -1. Let x(y) = 2*y**2 - 1. Let o(f) = a(f) - x(f). Let l(t) = 9*t. Give o(l(i)).\nAnswer: -162*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a meter in millimeters?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -18 - -19. Solve 3*t + g = -8 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 271804362*d**3 - 135902215*d**3 - 135902387*d**3.\nAnswer: -240*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in -2, 5\/3, -0.04?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 2) to base 8\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*r = -4 - 20, -8606*l - 3*r + 1 + 2 = -8603*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 546056777?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6\/8731 - -13943473\/96041. Let h = -145 + u. Let s = 6.2 + -6. Which is the smallest value? (a) s (b) h (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 3:50 AM?\nAnswer: 490","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the second derivative of -q**4\/12 + q**3\/3 + 10*q**2 + 7*q - 2. Let r be y(-4). Which is the biggest value? (a) r (b) 3\/20 (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n*n**1)**(14\/3)\/(n\/(n*n**2))**(-2\/47))**(1\/14))**(-3\/8) assuming n is positive.\nAnswer: n**(-163\/658)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in 7, 0, 5, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 - u. Let r(z) = 5*z**3 + 2*z**2 - 4*z + 3. Let p(o) = 6*n(o) - r(o). Calculate p(3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 985096875 by 154525.\nAnswer: 6375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 - (-1 - (1 + 1))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -70008473, -70008475, -70008477?\nAnswer: -70008479","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -6aa (base 15) in base 8?\nAnswer: -2746","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 2*h**3 - h**2 + 5*h + 10. Let b(q) = 6*q**3 - 3*q**2 + 14*q + 31. Determine 3*b(w) - 8*r(w).\nAnswer: 2*w**3 - w**2 + 2*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52652191 is divided by 142?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 13.8? (a) 4\/9 (b) 5 (c) 6 (d) -0.1 (e) -0.081\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*q - 86*q = 86*q + 351 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 1\/4, -8\/17, -3?\nAnswer: -8\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 60143\/25680 + 13\/1070. Find the common denominator of 81\/22 and i.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-90)\/75*5\/(-3). Let g = -12 - -21. Let m(q) = -3*q**2 + g*q**2 + 2*q - 5*q**b. Calculate m(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1\/40 or 0?\nAnswer: -1\/40","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*u = -42*u + 42720. What are the prime factors of u?\nAnswer: 2, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 14\/3, 1\/2, 1\/18, -1\/2 in decreasing order.\nAnswer: 14\/3, 1\/2, 1\/18, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 209153005 + -155.\nAnswer: 209152850","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2489845.4 and -0.06503.\nAnswer: 2489845.33497","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000296073548 rounded to seven dps?\nAnswer: -0.0000296","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 549*d**2 - 1 + 1.\nAnswer: 549*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Add 34912195 and -0.2.\nAnswer: 34912194.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/13 - (0 - -1). Let f = 1.5 - 1. Which is the third smallest value? (a) f (b) d (c) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 6*p - 19. Suppose 0 = -m - p*a + 5*a + 11, 4 = -4*a. What is the greatest common divisor of 3 and m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*m = -34*j + 37*j + 66, 3*j + 5*m = 21 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - (-261)\/18) + -9\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d\/d**(3\/11)*d*d\/(d\/(d**3*d*d*d)) assuming d is positive.\nAnswer: d**(85\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -346 + -3?\nAnswer: -349","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -171, 5, 4, -4 in increasing order.\nAnswer: -171, -4, 3, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1104 (base 8) to base 7.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*b + 5*b + 3*b)*(-262 - 198 + 602) to p + q*b and give q.\nAnswer: 710","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -303334 (base 5) to base 7.\nAnswer: -40462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -51*k - 323. Let w(z) = -10*z - 65. Let r(o) = 2*c(o) - 11*w(o). Let u be r(-7). Let s = 47 + -34. Calculate the greatest common divisor of s and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-8))\/(40\/(-160))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in six fifths of a kilometer?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-162*12\/(-2268))\/((-3)\/329).\nAnswer: -94","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 168949393 divided by 8233\nAnswer: 20521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - ((-1)\/(-2) + (-1)\/2). Is (-3)\/k*5\/3*-2 even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -463 or -10636\/23?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 8111 + -3?\nAnswer: 8107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round -177.949 to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -2645557, -5291112, -7936667, -10582222, -13227777?\n\"Answer: -2645555*y - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3339*n = -5399*n - 19650 - 85206 for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45631 (base 14) to base 10.\nAnswer: 168603","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 21 divide 27458 + -20*(-2)\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7.8 + 6.4. What is the biggest value in t, 4, 2\/9, -4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 4*w**2 - 8*w + 1. Give z(1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -358*h + 5727. What is k(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (2 + 0 - 6)*80\/1600\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4042 and 86.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u. Let w(m) be the first derivative of -m + 7. Give r(a) + w(a).\nAnswer: -3*a - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 596767306 and 346?\nAnswer: 346","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-12)\/(-10)*15\/54*9?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2, 8, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00149681346 to 5 decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*m**4 - 2*m**4 - 2*m**4 - 2 + (-3 + 3 + m)*(2*m**3 + 3*m**3 - 7*m**3) + m**3 - 12*m**4 - m**3.\nAnswer: -22*m**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 times 0.03\nAnswer: 0.003","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, p: 3, d: 1}. Give prob of sequence pbbp.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/3 + 92*j**2\/3 + 424*j\/3 - 400.\nAnswer: -2*(j - 50)*(j - 2)*(j + 6)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6 - (-8 + 3)) + (1 - -1) - -5?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*y + 2376 = -35*y + 30*y + 63*y for y.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -2*d**3 - 24*d**2 - 24*d - 33. What is g(-11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2 - 9*g + 5. Let j(d) = -d**2 - 5*d + 2. Let h(m) = -3*c(m) + 5*j(m). Let n be h(-4). Suppose n = -u + 7. Is 4 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6455 - 6456. What is the fourth biggest value in 0.3, k, 1\/5, 34?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10016 (base 8) in base 16?\nAnswer: 100e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4 + 2. Suppose -2*n + 28 = s. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v - 3 = -3*d, -61*d = -v - 58*d - 9 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of -5*i**2\/2 - 7*i - 11. Let a(v) = 2*v + 3. Let w(p) = 7*a(p) + 3*d(p). Let f(r) = 22*r. Calculate w(f(t)).\nAnswer: -22*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -43, -77, -109, -139, -167, -193?\n\"Answer: a**2 - 37*a - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -5649*i - 5623. Determine m(-1).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.8762392 millilitres?\nAnswer: 0.0008762392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -f - 2. Suppose -w = -5*o - 1, 2*w + 3*w - 2*o - 28 = 0. Let t(l) = 1 - w - 2 - 3*l + 1. Determine -7*h(y) + 2*t(y).\nAnswer: y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wfwfffwf.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 7 + -11. What is the fourth smallest value in -1, -0.2, z, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1219646 or -2\/9?\nAnswer: -1219646","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*x - 1996*w + 1994*w = -73, 3*x + 47 = 4*w for x.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1011 less than -0.7?\nAnswer: 1010.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 5.2823+-467055\nAnswer: -467049.7177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 8)*(2*h + 4*h**2 - 7*h**2 - 5*h) + 2*h**2 + 3*h**2 - 2*h**2.\nAnswer: 27*h**2 + 24*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-100 - 22 + 20)*(-3*f - 2*f + 4*f)*(9*f - 9*f - 5*f**2) + 3 - 4 + 0 + f**3.\nAnswer: -509*f**3 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 2134866806 a multiple of 2998?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 817 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: 1317 (base 11) to base 8\nAnswer: 3260","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 - 5. Let c = -0.2 + z. What is c rounded to 0 dps?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11160 = 353*c - 345*c. Suppose -44*n = -13*n - c. What is the second biggest value in n, 4, 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51.15761 less than 695.144?\nAnswer: 643.98639","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 63 - -61. Suppose 4*c - 75 = -4*s + 25, v = 4*s - 2*c. Let z = s + -5. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 4*y**2 - y - 3. Let a be h(-4). Let z(t) = -t. Let r(w) = -5*w - 2. Calculate a*r(o) - 4*z(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xczczzccxzxc. Give prob of sequence xxx.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 7*u + 8. Let x be (8\/(-4))\/((-1)\/u). Let v be x\/(-26) - (356\/(-52) - -3). Solve -v*c + c = t + 1, -2*t = -5*c - 9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*f - 3 = -23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.300824 rounded to 2 dps?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*i = 4*i + 10. Suppose 0 = 4*l - i*u - u + 9, 5*l + u = 3. Suppose l = 3*v - 6*v + 2055. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 545 and 0.0638.\nAnswer: 545.0638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 114408000 a multiple of 1400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1369*l**3 - 91*l**3 + 318*l**3.\nAnswer: 1596*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (4 + (1 - -3 - 5))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12742939.\nAnswer: 11, 19, 3209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 3) to base 9\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -327669 divided by 5?\nAnswer: -327669\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -1*(-8)\/(-28) + 24\/14. Factor -t*o - 2\/7*o**3 - 8\/7*o**2 - 4\/7.\nAnswer: -2*(o + 1)**2*(o + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -7666 + 7955. Does 17 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.1 (b) -20 (c) -0.2 (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-452*w + 23*w - 157*w)*(0*w + 8*w - 21*w).\nAnswer: 7618*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -637*j - 638*j + 1283*j.\nAnswer: 8*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) be the third derivative of -855*k**8\/56 + 769*k**4\/8 - k**2 + k - 31. Find the second derivative of r(n) wrt n.\nAnswer: -102600*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8*k + 10*k - 17*k.\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 64*y**3 + 13792*y**2 - 135356*y + 324900 = 0?\nAnswer: -225, 19\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Total of 1362017796 and 3.3.\nAnswer: 1362017799.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 - 9 = -2*f + 4*v, 0 = -4*f + v + 13. Is ((-2)\/f)\/(-1) - (-440)\/15 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 3 and -0.21191.\nAnswer: 2.78809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 5, 3, -4, 21213 in increasing order.\nAnswer: -4, -2, 3, 5, 21213","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 141\/31570 and -87\/335335.\nAnswer: 27497470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -23 - -22013?\nAnswer: 21330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrkw when four letters picked without replacement from qqqpppkqprrpppkppwp.\nAnswer: 1\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -1.41 and -38.\nAnswer: -39.41","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o + 8 = 4*o. Suppose -3*s - z + 173 = -5*z, -279 = -5*s + o*z. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1817902507 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2270?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 419648 divided by -1\nAnswer: -419648","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(98) + 2 + (sqrt(98) + -1 - sqrt(98)))**2 - sqrt(98)) + (-5 + sqrt(98) + 0 + sqrt(98) + sqrt(98))**2)*-5*-1.\nAnswer: -1015*sqrt(2) + 5030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -2*b**2. Let u(l) be the first derivative of -41*l**2\/2 - 14. Determine u(o(w)).\nAnswer: 82*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -807*o = -135*o + 661*o - 803 + 7468 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (3 + 1 - 2)*(-4*r**3 - 2*r**3 + 4*r**3)*(-9 - 748*r - 48 + 53) to the form q*r + y + j*r**4 + t*r**3 + n*r**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8947715?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence il when two letters picked without replacement from {l: 3, i: 2}.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 640520\/47 or 13627?\nAnswer: 640520\/47","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, n: 1, k: 7, t: 1, p: 6}. What is prob of picking 1 t and 1 l?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -17\/355 and 15\/3479.\nAnswer: 17395","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(2\/3)*k\/k**(3\/2))\/(k**23\/((k**(-3)*k)\/k)) assuming k is positive.\nAnswer: k**(-155\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 64 and 1664?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 224 and 14?\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -12 - -21. Suppose 3*n + 7590 = 4*n + 2*l, 0 = -3*l - 9. Let f be 5 - g - (n + 0). What is f rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = l**2 - l. Let b(i) = 2*i**2 - 8*i + 0*i + i**2 - 3*i**3 + 5*i**2. Give -3*b(a) + 24*o(a).\nAnswer: 9*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000003377 rounded to seven decimal places?\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -82 + 41.3. Let w = -40.7382 - l. What is w rounded to 3 dps?\nAnswer: -0.038","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4 - 10. Let c be ((-3)\/10)\/(w\/5). Is -3 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 64\/5 of a hour in seconds?\nAnswer: 46080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - w = -23, -68*l - 61 = 28*l - 130*l + 30*l - 3*w for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*d**2 + 12*d**2 - 41*d**2.\nAnswer: -41*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 6*g. Let s = -11 - -18. Suppose s*r = 4*r + 24. Calculate the smallest common multiple of n(-4) and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -244, -573, -1102, -1831, -2760, -3889?\n\"Answer: -100*b**2 - 29*b - 115","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -36, -63, -114, -195, -312, -471, -678, -939?\n\"Answer: -u**3 - 6*u**2 - 2*u - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 596282?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 0 - 1755360?\nAnswer: -1755360","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*z - 3726 + 3726.\nAnswer: 5*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -0.138 times 451\nAnswer: -62.238","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 609 minutes after 4:09 AM?\nAnswer: 2:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + g**3 - 7719*g**2 + 10 + 0 + 7744*g**2 - 4*g**3 to the form z*g**2 + c*g**3 + d*g + o and give o.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(((-2)\/(-18))\/1). Suppose j - 3*b - 21 = -0*b, 5*b + 47 = 3*j. Let l be (24\/o)\/(2\/j). What is the second biggest value in 3, 1, l?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1137 - (-3)\/(15\/5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3730)\/233 + (1\/73 - 162213\/(-10147)).\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 2 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -27 + (-28 - -19 - -43).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 158 a factor of 256721529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u + 0*u + 0*u)*(-518*u**2 - 3*u - 339*u**2 - 24*u**2) in the form m + s*u**3 + b*u**2 + n*u and give s.\nAnswer: 881","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4458, 5488, 8270, 13680, 22594, 35888, 54438?\nAnswer: 79120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18011145?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a micrometer in nanometers?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the third derivative of 0*o**4 + 8\/3*o**3 + 0 + 0*o**6 + 1\/12*o**5 + 0*o + 63*o**2 + 1\/210*o**7. Differentiate z(q) wrt q.\nAnswer: 4*q**3 + 10*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112588 is divided by 834?\nAnswer: 832","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*m - 3*t - 9674 + 9697, 2*m + 3*t - 13 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 h when two letters picked without replacement from {l: 1, u: 1, y: 1, h: 5, a: 4}.\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 - -2. Let s(o) = 3*o - 97. Let t be s(d). Which is bigger: t or -45?\nAnswer: -45","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**3 - h**2 - h - 3. Let i be r(3). Suppose 0 = -i*z + 7*z + 90. Suppose 0 - z = -n. Calculate the remainder when n is divided by 10.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -265013, -529947, -794881, -1059815, -1324749?\n\"Answer: -264934*k - 79","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 361663 - -36688. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1716\/345800 - 61\/3050.\nAnswer: -2\/133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 72 divide 69648480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 91300 and 57660100?\nAnswer: 8300","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002861764 to 4 decimal places.\nAnswer: 0.0029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = 5*n + 70, -26 = 4*n - 0*b + 2*b. Let m = 7 + n. Put 1, 5, m in descending order.\nAnswer: 5, 1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/(v*v**(3\/2))))**44*(v\/(v\/((v\/v**(-1\/2))\/v)))**44)**(4\/5) assuming v is positive.\nAnswer: v**(528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at least as big as 2711\/96?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of 7*u**6\/10 + 25*u**4\/12 + u**2 + 3. Find the second derivative of o(b) wrt b.\nAnswer: 504*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 2*m + m)*(-3 - 1 + 5).\nAnswer: 3*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:30 PM and 4:32 AM?\nAnswer: 662","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of z**4\/54 + z**3\/9 - 13*z. Solve i(w) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 242, 255, 268, 281, 294?\nAnswer: 307","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -d**2 - 6*d - 11. Let m(n) = n**2 + 6*n + 10. Let y(k) = -5*l(k) - 6*m(k). What is the units digit of y(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 1:14 AM?\nAnswer: 474","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 6) in base 7?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2226 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 6 + 2 - (-5 - (14 + -10 + -8)) - 18\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = -4*c + 10, -3*c - 5*v + 53 - 40 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1413*n + 717*n + 696*n + 234*n**2.\nAnswer: 234*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-12)\/9 + (-13)\/(-3). Let x = 5 + -2. Suppose 5*j = w - 6 - 19, -x*j - 27 = -3*w. Solve w + 1 = -g*a for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 710 minutes after 5:36 AM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5485707 is divided by 8139?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**5\/5 - 720*a**4 - 36780*a**3 + 448208*a**2 + 2421342*a\/5 = 0.\nAnswer: -1747, -63, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 471 + -167. Is 71 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 124430.\nAnswer: 2, 5, 23, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = -d - 28 + 149, 5*f - 220 = -2*d. Let m = 807\/7 - d. Let n be (-4)\/(-2) + 4\/(-8). Which is smaller: m or n?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -40164 - -40165.9. Let y = 1 - 1. Which is the fourth smallest value? (a) y (b) 2\/7 (c) t (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293025 to the power of 1\/4, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2 or 7904231?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) be the first derivative of -r**4\/4 + 4*r**3 + 7*r**2 + 32*r + 83. Let m be s(-8). What is m rounded to the nearest 1000?\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m**2 - 487*m + 3245. What is j(7)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -638.2 - -638. Let u = 1 + -1. Which is the closest to -0.2? (a) 6\/5 (b) u (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -3 (b) 0.041 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) be the first derivative of -85*p**4\/4 + 20*p - 27. Find the first derivative of z(g) wrt g.\nAnswer: -255*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 7? (a) -1 (b) 0.1 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23879530 is divided by 8103.\nAnswer: 8092","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.222 + -2.63. Let f = 3 + r. Round f to two decimal places.\nAnswer: 0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 88864 to the power of 1\/3, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - t + 36 = 0. Let z be t\/(-10)*(-10)\/4. Solve 2*d - 6 = -2*n, z*n - 3*d - 15 = -0*n for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y - 5*d = 5, -2*y + 13 = -3*y - 5*d. Differentiate 13*i**2 - 9*i**y + 9*i**2 + 1 wrt i.\nAnswer: 26*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52*-5\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 3, 1.576, 1\/10, 4, 0.5?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 579 and 5790?\nAnswer: 5790","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.1882 rounded to 0 dps?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -39185 - 38737.\nAnswer: -77922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-768)\/(-144))\/((-3)\/(9\/(-2)))?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 202179.5 weeks in minutes?\nAnswer: 2037969360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 419 + -418.9. Is a at least as big as -35\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 1388472114?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2455*g**2*r**3 - 2564*g**2*r**2 wrt r.\nAnswer: -14730*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2 + 4. Let r(z) = -4*z + 6*z**i + z**3 - 5*z + 0*z + 8. Is 11 a factor of r(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2165 + 385. Is j a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(1\/6)*a**(1\/7))\/((a*a**0)\/(a*a**(-7)\/a)) assuming a is positive.\nAnswer: a**(-323\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (519\/(-2))\/3*-198844. Suppose -3*n = -n + x. Let v be (-2 - -1 - n) + -2. Round v to the nearest one million.\nAnswer: 9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 319210 is divided by 1824?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 - 9. Let c = -18 + i. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.46303 times -0.2\nAnswer: -0.092606","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6308 in -6, -3, 35?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-34)\/(-9) + 26\/117. What is the nearest to 0 in 0.3, 0, j?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (2193\/68 - 11)*(-296)\/(-10) is divided by 207?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3754.\nAnswer: 2, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 8690 divide 725774082?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -165 = -8*h - 7*h. Let n(q) = -39*q - 12 + 11*q + 18*q + h*q. Determine n(13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 7673*t - 7845*t + 202*t**2 - 199*t**2 in the form x + y*t + d*t**2 and give x.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*u - 7*u + 4*u)*(11 + 75 + 24).\nAnswer: -1100*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -293 + 446. Let p = 155 - i. Solve 21 = -0*b + 5*b - 2*k, p*b - k = 8 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63827802.47999954 - 63827803. Let u = 28.48 + -29. Let v = i - u. Round v to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b = b + 6. Let m = b - 2. Suppose -3*x + x - 36 = -2*w, m*w - 62 = -x. Calculate the highest common factor of w and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4 + 10. Suppose -3*a + 25 = 2*a. Let i be (-6)\/10 - -1 - 17\/a. Put -1, r, i in descending order.\nAnswer: r, -1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 z when two letters picked without replacement from jzjzjz.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 977 is divided by 119.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = l**2 - 10*l + 34. Let k be g(7). Suppose -25 = -k*y + 92. Solve -p = 3*t + y, p = -3*t + 4*p - 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 4*r**2. Let a(y) = -62657110*y**2. Calculate o(a(l)).\nAnswer: 15703653734208400*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:45 AM and 2:45 AM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(180) - (sqrt(180) - sqrt(180)*-2*2)) + sqrt(180))\/(sqrt(5) + (sqrt(60)\/sqrt(6))\/sqrt(2)))\/(5*(sqrt(1728) - sqrt(48)\/sqrt(16))).\nAnswer: -3*sqrt(3)\/115","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -3391, -2, 3 in ascending order.\nAnswer: -3391, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 20c (base 16) to base 6\nAnswer: 2232","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -5 (b) -1.6 (c) -1202 (d) 3 (e) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5979 = 117*c - 120*c. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4\/2747965 or 0?\nAnswer: -4\/2747965","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74*c - 13*c - 155711 = -77267 - 72354 for c.\nAnswer: -70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Work out 3803952734106 + -0.2.\nAnswer: 3803952734105.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 58127 to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:08 AM and 11:00 AM?\nAnswer: 652","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -5, 0, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 251*j - 78*j = 294 + 398 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*r = 30*r - 5. Solve 2*z = 3 - r for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -44 in 2\/5, -6\/11, -1.7, 10?\nAnswer: -1.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 323 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + 38. What is the greatest common divisor of 24 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 9\/2, -5, 11, -4?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*v = -51*v - 1131. Let y = -6 + 17. Calculate the smallest common multiple of y and v.\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 - 2 - 1)*(0 + 1 - 4 + (1 - 1 + 2)*(-3 - 2 + 3))*(3*x**3 - x**3 - x**3) as r*x**2 + d*x**3 + y*x + f and give d.\nAnswer: 49","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-4 + -23)\/(30\/(-9) - -3) is divided by 27?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (-6 - (4 - 3 - 3 - 4))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -552*(-1)\/11 + 198\/(-1089). Let y = 120 + -100. Calculate the greatest common factor of q and y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2152 - 2151.9. Let x = -0.162 - -4.162. Sort x, b, 11 in descending order.\nAnswer: 11, x, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48485162*-0.02\nAnswer: -969703.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 2*w**3 + 8*w**2 - 7*w + 1. Give z(-5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 30866?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -11 - 4. Let h be (-250)\/v + 1\/3. Let a(o) = o + 23 - 33 + h. Calculate a(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 11\/298 (b) -2\/17 (c) -6 (d) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -53 + (-67 - -102 - 60)?\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -s**3 - 11*s**2 - 22*s - 36. Determine p(-9).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 615?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*n**3 - n**3 + 0*n**3)*((-2 + 0 + 1)*(5 - 2 - 1) + 4 - 2 - 4 - 5 + 2 + 2 - 3 - 1 + 0) + (2*n + 0*n - n)*(3*n - 3*n + n**2).\nAnswer: 10*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) be the second derivative of -i**3\/3 + 5*i**2\/2 - 2*i. Suppose -n = -5*a - 10, 2*a = n - 0*n - 7. Determine u(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*m**2 - 3*m**2 + 8*m**2)*(6 + 23*m**3 - 6) + (0 + 0 - m**4)*(1 - 2*m - 1).\nAnswer: 232*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89 is divided by 34.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/5)*p**(-1\/2)*p*(((p*p*p*p*p**(-1\/5))\/p)\/p*p)\/p*(p**5*p*p\/p**(-2))**(-47) assuming p is positive.\nAnswer: p**(-4209\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"} +{"text":"Question: Let o = 189.41983069 - 189.26783. Let h = -0.152 + o. What is h rounded to 7 dps?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1778502352?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -135030, -270077, -405150, -540255, -675398?\nAnswer: -810585","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 526*f**2 - 4 - 513*f**2 - 1 to m*f + w*f**2 + k and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -19.912. Let w = 0 + r. Round w to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times -7.2\nAnswer: 6.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.2 or 0.007436?\nAnswer: 0.007436","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -46*i = -189035 - 27809. Does 20 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.414 and 0.08.\nAnswer: 0.03312","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 21 and 527667.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 61 - 43. Let q = 41 - v. Calculate the remainder when q is divided by 1 + (132\/4)\/3.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -68*b - 128 = -4*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = -2*g**2 - 27*g - 5. Let k be u(-13). Suppose t - 5*i + 15 = 2*t, t - 2*i - k = 0. Solve -d = d + t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.037 greater than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 2 + -31010?\nAnswer: -31002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 110 + (127 - 230) - (-1 + 0 + 3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 o when two letters picked without replacement from {g: 1, m: 3, s: 1, o: 2}.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-8)\/((q\/((q*q**(5\/6))\/q)*q)\/q))\/(((q\/q**(2\/15))\/q)\/(q\/(q*q**(-3\/34)))) assuming q is positive.\nAnswer: q**(-2026\/255)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 59629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -148188.9297 rounded to the nearest one hundred?\nAnswer: -148200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 88 - 85. What is the remainder when r is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 5021 - -879. Is 43 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (21\/28)\/((-200)\/(-4400)*63\/6)\nAnswer: 11\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/((-4)\/(-3)))\/((-72)\/64)?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -11 + 22022201?\nAnswer: 22022130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -393*r**2 + 393*r**2 - 19*r**3.\nAnswer: -19*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -21869, -21871, -21873, -21875, -21877?\n\"Answer: -2*y - 21867","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 404 and 7789524.\nAnswer: 7789524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(200)\/sqrt(90) - (sqrt(160)*-1)\/sqrt(8)))**2 + -4.\nAnswer: 284\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 395023 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11001011010110101001100 (base 2) to base 14\nAnswer: -c56564","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(3\/2))\/((-20632)\/1315290))\/(-5)?\nAnswer: -17\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = -v + 18, 0 = 4*r - 0*r. Let p be (-4)\/v - 204\/(-675). Which is smaller: 1 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 887.\nAnswer: 887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(6*m - 1 + 1) - 172 + 172 - 23*m.\nAnswer: -29*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*v**2\/3 - 277653*v\/2 + 104120\/3.\nAnswer: -(v + 208240)*(4*v - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 43, 73, 99, 121, 139?\n\"Answer: -2*w**2 + 36*w + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20590, -20221, -19850, -19477?\nAnswer: -19102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.1 + -0.4. Let u = -1.9 - p. What is the second smallest value in u, 0.02, 2\/3?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*q - 4. Let n be q\/((1 + 3)\/(-2)). Let l be n\/12*(-6)\/(-3). Sort 4, 1, l in increasing order.\nAnswer: l, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 0.3 (b) -2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3774 and 876758.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 4*c = 7*c + 7, -5*i - 2*c = 7 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 797195, 1594413, 2391659, 3188939, 3986259, 4783625, 5581043, 6378519?\nAnswer: 7176059","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"} +{"text":"Question: Is 1219 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 13) to base 9\nAnswer: -15","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 263250?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 164*b + 4*b**3 - 5*b.\nAnswer: 4*b**3 + 162*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = -3*k**3 - 10*k**2 + 2*k - 10. Determine o(-5).\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) be the third derivative of l**4\/12 + l**2. Let n be (-8876)\/(-10) + 2\/5. Let v(k) = n - 4*k - 888. Calculate r(v(u)).\nAnswer: -8*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1 - -2) + -8 + 2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-1)*(-4)\/(-2)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -370 - 18048*y + 18032*y - 195 + 135 in the form j*y + v and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 35949 is divided by 35748.\nAnswer: 201","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 160 minutes after 9:26 AM?\nAnswer: 12:06 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l - h - 0*h + 88, -29 = -l - 4*h. Let f = -86 - -135. Calculate the remainder when f is divided by l.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1485)\/1170)\/(29\/(-754)).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1806 = 6*n - 1830 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11444 + -2?\nAnswer: -11446","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.102 - -0.1014515. What is y rounded to four decimal places?\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3178266 is divided by 753?\nAnswer: 606","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 z when two letters picked without replacement from zzwzzzzwzzwzwzzzzwz?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -19, -7 in descending order.\nAnswer: 4, 3, -7, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 182667611.9 rounded to the nearest 1000000?\nAnswer: 183000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 12*m*p**2 - 6446401*m*p - 15779*p**2 + 3675*p wrt m?\nAnswer: 12*p**2 - 6446401*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 2*x**3 - 4*x**2 + 3*x - 1. Let y be s(2). Suppose 0*r = -y*r + k + 16, 19 = 5*r - 4*k. Factor -p + 6*p + p**3 - p + 12*p**2 - 10*p**r - 7*p**4.\nAnswer: -p*(p - 1)*(p + 2)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-6)\/(-9))\/((-4)\/180). Suppose u + 132 = 4*u. Let l = c + u. Is l a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1 + -3)*(1\/(-1))\/1. What is the third biggest value in 5\/2, 0.6, b, -0.3?\nAnswer: 0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*o - 10 - 6 = 0 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = -17*k**3 - 1481*k**2 - 7136*k - 160. What is p(-82)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 822 + -818. Let l(f) = -f**2 + 3*f + 4. Let d be l(4). Solve d*s = p*s - 4 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = p**3 + p**2 - 2*p + 4. Calculate g(-3).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -11 + 16. Find the third derivative of -3*q**3 - 7*q**2 + j*q**2 + 5*q**3 wrt q.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42510\/(8112\/104)*-1*(-1)\/(-5)?\nAnswer: -109","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 8692907 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 21107 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 215 divide 501900300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -67*y - 81 + 134 + 14 = 0 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72751 is divided by 505.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 524 minutes before 7:27 AM?\nAnswer: 10:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -d. Let z(q) = 3*q**2 - 6*q + 12. Let u(j) = 6*y(j) + z(j). Suppose u(h) = 0. What is h?\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4951 divided by -1?\nAnswer: -4951","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = 2*m - 3. Let x(c) be the first derivative of -c**2\/2 + c + 9. Suppose 0*b - 5*n = -3*b + 14, -5*b = -4*n - 6. Give b*h(s) - 5*x(s).\nAnswer: s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 60661 or 2926?\nAnswer: 60661","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {i: 3, z: 4, x: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -29575*q**3 + 2*q**2 + 221*q - 11.\nAnswer: -177450*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**2\/7 - 239*k\/7 - 34.\nAnswer: -(k + 1)*(k + 238)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = -2*m**3 - 69*m**2 + 103*m - 100. What is c(-36)?\nAnswer: 80","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 40*v**5 - 83*v**5 + 47*v**5 - 82*v**3 + (5*v**4 - 4*v**4 + 2*v**4)*(-3 + 3 - 2*v).\nAnswer: -2*v**5 - 82*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22359318 to the nearest integer?\nAnswer: 4729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 223 is divided by 32?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5*r + 0*r = -13, 2*r + 4 = -2*t. Let h(n) = n**3 + 5*n**2 + 5*n + 4. Let b be h(-4). Solve -t*s = 2*c - 11, 0 = -4*c - b*c - 8 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 354023033 (base 6) to base 2\nAnswer: 11001010010010000111101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 8226821 or 8226740?\nAnswer: 8226740","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.0462918 milligrams to micrograms.\nAnswer: 46.2918","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -75\/2, -59, 0.4, 1\/4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 11654 is divided by 191?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -123 + 150 + (11 - (-1 + 16)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 5348*r**3 - 8 - 5367*r**3 + 10714*r**3.\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = 3*p - 37. Let x be y(11). Let t(g) = -180*g - 1. Is t(x) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w + 7. Let t be p(-8). Is 1 + -2 - (t - 16) a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 94 = -5*v, -2*z - 38 = -3*v + 2*z. Calculate the highest common divisor of v and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-4)\/(a*a**2*a)*(a**(-1))**(-23) assuming a is positive.\nAnswer: a**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5042?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.7 - 6.7. Which is the closest to w? (a) 2 (b) 3 (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 58 and 5588271?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25205?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 115*s = -167*s - 236*s + 4662 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -80*p**3 - 5263*p**2 + 16641784*p wrt p?\nAnswer: -480*p - 10526","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:20 PM and 6:23 AM?\nAnswer: 423","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-1)\/(-9))\/(-1))\/(3\/9).\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44851*r - 43928*r + 50838*r + 44245*r.\nAnswer: 96006*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 540 = -5*m, -3*m - 2*m + k = -525. Suppose 5*r + 69 = m. Suppose -3*u + r*u - 148 = 0. Calculate the remainder when u is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 614718242 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -68357 - 177b?\nAnswer: -69b05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -20\/6387 and -56\/24771.\nAnswer: 52737459","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 3*r + 7. Let h(y) be the third derivative of y**4\/24 - 2*y**2. Let u(a) = -c(a) + 2*h(a). Find the first derivative of u(l) wrt l.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.9 + -6.1. Let s = -15 - c. Let f = s + 8.4. Put 4, f, 0 in decreasing order.\nAnswer: 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (56\/35 + -1)\/(16 + (-8211)\/1020).\nAnswer: 4\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(104)\/(sqrt(16)\/sqrt(2) + sqrt(8)))**2 - (sqrt(13)*1 + 3 + -1)**2.\nAnswer: -6*sqrt(13) - 39\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + 3)\/((-6)\/4). Let h = 289\/490 + 1\/98. Put -2\/5, s, h in descending order.\nAnswer: h, -2\/5, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r = -4*r + 8. Let v(k) = -6*k + k**r + 1 + 0*k**2 + 5. What is v(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1629 to the power of 1\/4, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.03 + -0.13. What is the nearest to 2 in -5, y, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 156734007 and 2379909?\nAnswer: 1097138049","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bnnqnqqnnqqqnnn. Give prob of sequence nbqn.\nAnswer: 2\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of -b**4\/12 + 8*b**2. Let y(u) = 5*u**2. What is d(y(k))?\nAnswer: -10*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 128544 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (sqrt(110)\/(sqrt(100)\/(-1*sqrt(10))))**2 + (sqrt(11) - (sqrt(99) + 2 - sqrt(11)))**2 + -1.\nAnswer: 4*sqrt(11) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9 - 2)*2\/(-5). Which is smaller: l or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g. Let s be u(-2). Let q be 5\/(-3) - (-1)\/(-3). Calculate the remainder when (s + 4)\/(q\/(-3)) is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/24 and -37\/2392.\nAnswer: 7176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -2190 at most -2209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25003 (base 15) to base 3.\nAnswer: 20000001010","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = -m**3 - 5*m**2 + 25*m + 8. Determine t(-8).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 558?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 406.08 to zero dps.\nAnswer: 406","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*q**2*r**5 + q**2*r + 2*q**2 + 423*q*r + 528*r**3 wrt r?\nAnswer: -60*q**2*r**3 + 3168*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-257 + 139 + 146)*(0 + 0 + 1)*((1 - 3 + 0)*(b + 3*b - 5*b) - b + 2 - 2)*(-b**4 + 2*b**4 + 0*b**4).\nAnswer: 28*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-24)\/32 - 14\/(-8). Let l = f + 3. Sort l, 2, -3 in ascending order.\nAnswer: -3, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 75 + -158. Let w = -83.0056 - r. What is w rounded to 2 dps?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3657431 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00443947761 rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -74, -1, -4 in ascending order.\nAnswer: -74, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 278*d + 3. Let w be r(1). Let b = 145 - w. Let s = -73 - b. Is 9 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 711.5541 rounded to the nearest integer?\nAnswer: 712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1 + 1. Let r(o) = -u*o - 24 + 24. Let m be r(0). Solve 0 = -0*j - 3*j + 5*a + 2, m = j - 5*a - 4 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89612231311 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zzzzzzz. What is prob of sequence zzzz?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4267 divided by 251.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 3*(3\/((-12)\/4))\/(-5)\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 451 = n, 226 = 2*r + 4*n + 42. Is 6 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2503872 a multiple of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 925540?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.3 in 0.5, 0.3, 0.54?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.1 and 1831679297.\nAnswer: 1831679296.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uu when two letters picked without replacement from {e: 1, u: 3}.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -85831885 divided by -5?\nAnswer: 17166377","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence euox when four letters picked without replacement from uoexou?\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*j - j - 3*j + 3*j + 0*j + j + (2 - 4 + 1)*(-5*j + 4*j + 2*j))*(-3*j - j + 5*j)*(-j**3 + 0*j**3 + 0*j**3).\nAnswer: -5*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -3\/19, 2, 5\/3, -1\/2, 1\/3, -1884?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*i - 7*i**4 + 2*i + 2 + 0*i + 0 - 2*i**3 - 2*i**2 in the form s*i**3 + r*i**4 + c*i**2 + g*i + p and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4489 - -2821. Is z a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i - 108 = -2374*o + 2372*o, 36*o = 9*o + 5*i + 208 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**2 - 912*y = 0.\nAnswer: -228, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = h**3 + 9*h**2 + 6*h + 7. Let g = -72 - -88. Calculate the remainder when x(-7) is divided by g.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -922871*b**2 - 748311*b?\nAnswer: -1845742","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 13, 86, 289, 688, 1349, 2338, 3721, 5564?\n\"Answer: 11*i**3 - i**2 - i + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 477 a factor of 92096935?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*p + 12*p - 5184 = 86*p for p.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 - 8*m - 4. Let w be x(-7). Let c = -4 - -4. Suppose -3*d = -2*d + 5*z + 25, c = -w*d + 2*z + 10. Solve d = 4*a - 4*g + 12, 4*g + 0*g = 0 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -43*m**2. Let x(b) = 7332240*b. Determine x(f(s)).\nAnswer: -315286320*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4 - 5201a36?\nAnswer: -5201a32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 234 and 14?\nAnswer: 1638","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1058?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (-3 + (5 - (0 + 2)) - 4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:19 AM and 8:50 AM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/5 - -4 - (-9 - -3))*-424000. Round h to the nearest ten thousand.\nAnswer: -3730000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) = -o**3 - 5*o**2 - 4*o + 3. Suppose -5 = -3*u + 1. Let v = -6 + u. Let s be z(v). Solve -4*j - 20 = s*y, 12 = 2*j + 2*j - 5*y for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -12*m - 1. Let s be b(-1). Suppose 25 = 4*f - s. Suppose 0 = 3*n - 0*n - f. Solve -4*y + n = -9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 8*z + 165. Let q be d(-20). Solve -2*c + 24 = -4*g - 0*c, -q*g + 5*c - 35 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/((-56)\/(-6)))\/((-5)\/(-4)). Which is the smallest value? (a) 0 (b) -3\/13 (c) 5 (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5 and 0.79.\nAnswer: -4.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 2*u**2 - 3*u + 1. Let k be i(2). Suppose -5*w - 25 = 0, 3*j + 1 = -3*w - 8. What is the common denominator of j\/k + (-134)\/120 and -91\/2?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 830672 + -76?\nAnswer: 830596","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 8*v = -12. Let p be (0\/(-1))\/(-2) + 0. Solve -n + m - 2*m + 4 = p, 5*m = -v*n + 18 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 240.78 in -2, 4, -5, -0.4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -159972.34875615585 - -67.50975576585. Let x = s - -159904.9. Let c = 0.061 - x. Round c to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1150 is divided by 33?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3920)\/(-6860)*(-7)\/(-8)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 1\/5*f**3 - 2\/5*f**2 + 0*f.\nAnswer: f**2*(f - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.12 - -0.12. Which is smaller: m or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3396 a factor of 270817416?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = p + 6. Let n be h(-3). Let z(m) = 10*m - 39. What is the remainder when z(6) is divided by 0 + (n - (-7 + 2))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1159 and 161467?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 72553 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*l = 21*l - 10422. What are the prime factors of l?\nAnswer: 2, 3, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = c**3 + 4*c**2 + 5*c + 1. Let w be u(-2). What is the remainder when (-3 - (-5 + w)) + 92 is divided by 50?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 1:43 AM?\nAnswer: 243","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8.2 + 3.2. Let x = 0.3 - 0.4. Which is the closest to x? (a) 0.4 (b) d (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 14 in 11, -2, -182, 0.66?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -v. Let y(x) = 3*x. Let l(z) = -8*g(z) - 3*y(z). Let f(o) = -2*o + 5*o + 0*o - o. Determine l(f(h)).\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-298)\/10 + 3)\/((-4)\/20). Let i = 139 - x. Suppose -y = -0*y - i, 22 = a + 4*y. Solve 4*d - a = 4*w + 2, 5*d = 4*w + 2 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from ouojj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*k - 374*k - 83*k - 275*k to the form u + l*k and give l.\nAnswer: -592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:28 AM and 8:58 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the first derivative of o**4 - 19*o**2\/2 - 86*o - 127. What is the derivative of y(j) wrt j?\nAnswer: 12*j**2 - 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5\/143 - 14669\/1716. Calculate the common denominator of m and 87\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/(-14))\/(9\/(-63)). Let w = 6 - s. Suppose -x + 2*x - 55 = w. Calculate the greatest common divisor of x and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1739*o**6 - 3*o**2 - 2 wrt o.\nAnswer: 208680*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-8)\/76 - 71649006\/(-57). Round a to the nearest one hundred thousand.\nAnswer: 1300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -229 or -230?\nAnswer: -229","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**2 + 3*y + 43. Let u be o(-9). Let a be u + -106 - 58\/(-2). Solve 4*i + 0*i + a = 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -6. Suppose -k*f = f - 60. What is the tens digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7472*z - 1734 = 3766*z + 3757*z for z.\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3148257 or 0?\nAnswer: 3148257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -14 (b) 10515 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 6*n**2 - n + 22. What is the remainder when b(5) is divided by 66?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) be the first derivative of 0*s**2 - 4\/3*s**3 + 0*s + 5. Suppose x(f) = 0. Calculate f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -188*y + 12 = -187*y, -2*i + y - 14 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**3 - 7*p - 4*p**3 + 4*p**3 - p**3 to i*p**3 + v*p**2 + f + h*p and give h.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10100001100011110101 (base 2) to base 7.\nAnswer: -5424204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.2, 1\/4, -5, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.094 - -0.0794. Let h = -0.0766 - x. Is h < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/22 (b) -0.5 (c) -1\/6 (d) 3 (e) 1\/7 (f) 0.15 (g) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(90) - (1*sqrt(90)*6 - sqrt(90)) - sqrt(90)*-3*2)\/(sqrt(5) + (sqrt(5) + sqrt(10)\/sqrt(2))*-3 + 1*(sqrt(15)\/sqrt(3) - sqrt(5))).\nAnswer: -6*sqrt(2)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4 + 18*t)*(-3*t + 0*t + t) + 150*t - 4*t**2 - 150*t.\nAnswer: -40*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 34.17. Let a = 0 + y. Let l = -1.67 - a. Round l to zero dps.\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -399 less than or equal to -424?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -110 + -34243199722?\nAnswer: -34243199832","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -276 + 312. Let d = -35.9 + i. Let l = -8 + -3. What is the fourth biggest value in d, -2\/5, l, -0.5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 4 + 2\/2 - -1. Let g = y - 3. Let t(u) = 2*u - 1. What is t(g)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 39\/121585 or 1?\nAnswer: 39\/121585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - -13) + -7 - (-3 + 1).\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 59*c = 642 - 170 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gr when two letters picked without replacement from rrgr.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 2:51 AM?\nAnswer: 7:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 10 - 4. Let a = 1 - -3. Let y be (-2)\/a - (-340)\/8. What is the highest common divisor of q and y?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*k**3 + k**3 - 2*k**3 + (1 - 2 - 1)*(k**3 - 1 - k**3 + 2*k**3).\nAnswer: -5*k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) be the third derivative of -a**6\/120 - 7*a**5\/20 - 37*a**4\/24 + 16*a**3\/3 - 159*a**2. What are the prime factors of i(-19)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 35254, 35251, 35248?\n\"Answer: -3*q + 35257","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p**3 + 2*p**3 - 2*p**3)*(4 + 3 + 0).\nAnswer: 7*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -105 + 123. What is the least common multiple of 30 and o?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*m + m + m)*(2 + 2 - 6) + 0*m + 0*m - 4*m + 0*m + 18*m + 22*m.\nAnswer: 38*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 11610 or 8434?\nAnswer: 11610","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 517\/(-7238)*7\/(-9).\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oooooooozoooozooooo. What is prob of sequence oo?\nAnswer: 136\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.16391 from 3902986406.\nAnswer: 3902986405.83609","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:26 PM and 8:48 PM?\nAnswer: 202","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -22*d**2 - 20*d + 4. Let z(t) = -190*t**2 - 175*t + 35. Let g(o) = -35*n(o) + 4*z(o). Let a(r) = 684*r. What is g(a(k))?\nAnswer: 4678560*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/30 and 49\/60?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 222 + -195. Let i(m) = -m + 3. Let k be i(-6). What is the greatest common factor of p and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18800462?\nAnswer: 2, 19, 494749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2149*a**3 - 4252*a - 41978*a**3 - 4254*a + 8506*a - 7488*a**3)*(-3*a + 7*a - 3*a).\nAnswer: -51615*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j - 4*y - 3472, -3*j - 2885 = -5*y - 824. Let l = -4748 + j. Let f be 1*1250*(l + 0). Round f to the nearest one million.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9763704 = 45*i + 113*i + 7603656. Round i to the nearest one thousand.\nAnswer: -110000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16230650 + -3935.545.\nAnswer: 16226714.455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -45 - -46. Let d(g) be the first derivative of -g**4\/6 + g**3\/6 + 3*g - 4. Let m(s) be the first derivative of d(s). Give m(u).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-5)*25\/(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1580 divided by -316\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 106097 and 74892.\nAnswer: 1273164","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.3 + -1.3. Let d = 2\/171 + 112\/171. What is the nearest to m in d, -3, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3940 + 3973. Solve -8*b - h - 31 = 0 for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 279053 is divided by 7745.\nAnswer: 233","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(10)\/sqrt(5))**2 + 3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:05 PM and 12:41 AM?\nAnswer: 96","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*f - 11*f - 10*f in the form p + o*f and give o.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -73.39 - -71. Let m = 0.11 - r. Let s = m + -2.5. Sort 2, s, -5 in descending order.\nAnswer: 2, s, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -106 + 176. Let n = p - 114. Let g = -39 - n. Solve g*z = -6 + 16 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103696?\nAnswer: 2, 6481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/30 - (15 + (-92)\/6)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -101101?\nAnswer: -101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = 2*l**2 - 2*l. Let u be b(2). Let n be 7\/(21\/72)*484\/363. Calculate the highest common divisor of n and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3177, 2, -40.\nAnswer: -3177, -40, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -34 (b) -1 (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/22, -4, -1\/11, 0.1, -1\/7005 in decreasing order.\nAnswer: 0.1, 1\/22, -1\/7005, -1\/11, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 14, q: 5}. What is prob of sequence qnnq?\nAnswer: 455\/11628","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -9\/5, -8 in increasing order.\nAnswer: -8, -9\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5436 divided by 3.\nAnswer: -1812","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 33*r**2. Let h(d) = -14*d - 30. Calculate g(h(t)).\nAnswer: 6468*t**2 + 27720*t + 29700","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*h + 2*i = -i + 3, -3*h - 4*i + 4 = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*m**3 + 142*m - 142*m.\nAnswer: 36*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*o - 18 = 11*o + 2*d, 0 = -5*d - 45. Suppose -2*x = 2*f + 4, -f = 4*x + x + 18. Solve f*t - 5*t = o for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -c**3 + 24*c**2 + 40*c - 955. Calculate o(24).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*w + 4*w + 2*w**2)*(-4*w**2 + 4*w**2 + w**2) + 24 + 23*w**4 - 24 as a*w + m*w**4 + s*w**3 + f*w**2 + o and give m.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 7:55 AM?\nAnswer: 12:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuuuutuuuuuuuuuuuu. What is prob of picking 2 t?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -6*t + 12. Let f be b(-3). Suppose 0 = 3*y + 5*h - f + 3, -y - h = -7. Calculate the remainder when 40 is divided by 2\/(((-40)\/(-65))\/y).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, -13, -3\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*k = -3*k + 15, 0 = -4*j + 5*k - 37. Let c be (-733)\/8 + (-3)\/8. Let a be c\/20 + (-12)\/(-20). Put j, 3, a in increasing order.\nAnswer: a, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 5*j + 238. Calculate the remainder when s(17) is divided by 110.\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 35 + 13. Suppose -3*a = 3*q - 30 + 6, -q + g = 5*a. Calculate the smallest common multiple of a and (2 - 9)*2\/(-7).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1088, -2179, -3270, -4361?\nAnswer: -5452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -54, 4 in descending order.\nAnswer: 4, -2, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 28\/(-70)*(-3)\/2?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 7*x - 11 + 25. Solve 4*l - 11 + 25 = 5*g, x = -l - 5*g - 16 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -17297060 - -17295528.7794. Let p = 1531 + q. What is p rounded to 2 dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 4 - -3520514?\nAnswer: 3520522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1113 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 419328 and 3494400.\nAnswer: 10483200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 10, r: 2, h: 2}. Give prob of sequence hrh.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*g + 143*g + 47*g - 10*g**4 + 65*g**4 + 14*g wrt g?\nAnswer: 660*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 1 = 0, 0 = 2*r + 2*r + 5*x + 27. Let m(u) = u**3 + 8*u**2 - 5*u - 6. What is the tens digit of m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 + (-126 - -82) + 56?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-1 - (2 - -2))*(-36)\/(-180). Which is the third smallest value? (a) -61 (b) z (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 520 (base 13) to base 2.\nAnswer: 1101100111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 15\/4 of a second?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -421800 rounded to the nearest ten thousand?\nAnswer: -420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.351? (a) 11 (b) 1\/6 (c) -0.1 (d) -21 (e) -0.409 (f) 3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8 + 32\/(-1 + -3). Solve o = -4*q + 16 - 16 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -29 - (85 - 115)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 120 or 158510\/1323?\nAnswer: 158510\/1323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 24?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/13))**(-23)\/(((r\/(r*(r*r*r*r\/(r\/r**0)*r)\/r*r*r))\/r*r)\/(r*r*r**(10\/7)\/r*r*r)) assuming r is positive.\nAnswer: r**(536\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -724267, -724332, -724397, -724462, -724527?\nAnswer: -724592","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, j: 2, y: 2, z: 2, l: 1, g: 1}. What is prob of sequence zl?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from hllllllllllllhllllhl. Give prob of picking 1 l and 3 h.\nAnswer: 1\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of g**2 + 2. Let q(t) = -4*t**2 + 7*t + 8 - 1 + t**2. Let d(i) = -i**2 + 3*i + 3. Let c(k) = 7*d(k) - 3*q(k). What is c(z(v))?\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 25322 - 25311. Put 3, d, -2, 1 in descending order.\nAnswer: d, 3, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5\/10*0\/(-4))\/(-4)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve z = b - 1, b - 3*z - 1 = 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5899*u**2 - 931*u**2 - 621*u + 621*u + 29658*u**2)*(2*u - 2*u + 3*u).\nAnswer: 68484*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32269197.\nAnswer: 3, 101, 281, 379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 4 + (31 - (-82 + 89))?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 171 minutes after 12:54 AM?\nAnswer: 3:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 52290819 to the nearest integer?\nAnswer: 7231","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 286301, 286313, 286325?\nAnswer: 286337","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -20180783.\nAnswer: -4\/20180783","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 325*s + 26. Let p(z) = -1299*z - 117. Let y(c) = -9*b(c) - 2*p(c). Let f(j) = 2*j**2. What is f(y(a))?\nAnswer: 213858*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 5\/15*(-1 - 8). Let l(k) = -4*k + 6. Let a(d) = -d + 14*d - 6*d - 6*d. Determine y*a(h) - l(h).\nAnswer: h - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = -74*f - 80 - 232 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -z + 4*z - w + 10, 2*w = -4*z - 10 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 110644 is divided by 157?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -22081.17 to the nearest 1000.\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -3*q + 13*q + 1 - 6*q - 7*q. Suppose -6 - 2 = -4*n. Let h = 3 - n. What is l(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -371 (base 11) in base 16?\nAnswer: -1b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 260 is divided by 67.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of ((-50)\/(-4) - 2)\/((-39)\/(-78)) and 90.\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -198, -2\/3, 1\/7, -272.7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -515 + 23. Let t = -17218\/35 - c. Is 1 greater than or equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -35458629 or -35458616?\nAnswer: -35458629","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 u when four letters picked without replacement from uuuuccucuucc.\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -7*n - 6*n - 11 - 6*n wrt n?\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -a**3 - 36*a**2 + 969*a + 71. Calculate m(18).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 367 (b) 4 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence azd when three letters picked without replacement from {a: 1, z: 2, d: 10, c: 1}?\nAnswer: 5\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Product of 2.03 and -0.066.\nAnswer: -0.13398","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 6.4. Let o = 0.7 - g. Let i be (12\/(-154))\/((-258)\/602). Put o, -0.1, i in increasing order.\nAnswer: -0.1, o, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6 - -3 - -4)*13\/13\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 75?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c = 2*y - 760, -44 = 2*y + 3*c - 807. Let r = 382 - y. Solve -r = 4*q - 5*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of x**8\/112 - x**7\/10 + 9*x**6\/20 - x**5 + x**4 - 128*x**2. Factor d(j).\nAnswer: 3*j*(j - 2)**3*(j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-200)\/140)\/(2\/(-7)). Let t(j) be the third derivative of j**6\/120 - j**5\/60 - j**4\/6 - 5*j**3\/3 + j**2. What are the prime factors of t(k)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.01192 + 0.08808. What is the nearest to 2\/5 in y, 9, 38?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 68\/121 - 46\/121. What is the closest to -14 in 0.1, 0.3, 4\/5, g?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 597923 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ebbabaaeb. Give prob of sequence eab.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 2*h - 9 = 0. Let l = h - -19. Let z = -2 + l. What is the greatest common factor of z and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 173*o - 92460 = 130423 + 2709. What is the remainder when o is divided by 119?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1\/3 - 5\/9. Let x be (1 + -3)\/(-4)*2. Let l be (-3)\/(-4)*x\/(-3). What is the smallest value in 1\/2, l, g?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 452290*m. Let d(y) = -3*y. What is p(d(w))?\nAnswer: -1356870*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-3)\/(-2))\/(6\/4) - -4. Suppose -394 = -7*m + f*m. List the prime factors of m.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36 + 34 - 70 + y.\nAnswer: y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 115636 to the nearest integer?\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 201.82 + -199. Let u = -0.18 - p. Let v = -0.9 + -0.1. Sort v, 5, u in descending order.\nAnswer: 5, v, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 26\/(-6) + (-4)\/(-1). Which is the third smallest value? (a) -1\/2 (b) g (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 155*c**4 + 3080*c + 3365*c**2 + 582*c**3 + 163 + 833*c**3 + 5*c**5 + 817.\nAnswer: 5*(c + 1)**3*(c + 14)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 17\/2 of a litre?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 3*s + 4 = 55, 2*x = s + 31. What is the least common multiple of x and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 + 30\/70*7 + 7\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4.3677 - -0.6323. Which is the smallest value? (a) -0.02 (b) i (c) 1\/5 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 503 minutes before 3:46 PM?\nAnswer: 7:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 10110000011100 (base 2) in base 12?\nAnswer: 6650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 5*o = 0, -3*y + 6 = -3*o. Let u be (-2 + y\/(-1))\/(-2). Is u at most -0.49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(468) + sqrt(13) - (0 + sqrt(468))) + ((-6*sqrt(468) + 1)**2 - sqrt(468)).\nAnswer: -77*sqrt(13) + 16850","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 12780 and 8212428.\nAnswer: 41062140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 3*o = 45, -22834 = -4*o - 22822 for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 175431 is divided by 619.\nAnswer: 254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3025 plus 904.21?\nAnswer: 3929.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 82404298 to the nearest integer?\nAnswer: 9078","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -170*k - 31. Let g be (-22 + -5 + 9)\/((-2)\/(-1)). Is r(g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6995.91 - -6996. Is v at least as big as -93\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (22\/11)\/(-1 - -2). Let y be 0 - -1 - (2 + -4). Suppose n - 2*n = v*m - 8, -35 = -y*n + 5*m. Solve n = 8*g - 3*g for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the third derivative of -o**5\/15 + o**4\/24 + o**2. Suppose 5*v = 3*v - 2. Calculate f(v).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t + t + 2*t. Suppose -4*n + 18 = x, -4*x - 35 = x - 5*n. What is z(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -71, -81, -91, -101?\n\"Answer: -10*b - 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + -32 + (4500 - 4425)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 + 9. Let u(n) = -6*n**2 + n - n + r*n**2. Let g(f) = -4*f - 3. Let c(p) = -p - 1. Let l(t) = 15*c(t) - 5*g(t). Calculate u(l(s)).\nAnswer: 25*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j**3 + 10*j**2 + 6*j - 18. Let h be r(9). Suppose 4*g + 5 + 7 = x, 5*x - h = g. Let u = 31 - x. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 7 and 516.\nAnswer: 3612","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -aa15 (base 13) to base 10\nAnswer: -23678","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 13759625 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*c + 61 - 47 - 88 + 3*c - 69 to m*c + x and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6039.\nAnswer: 3, 11, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17 + -15. Suppose -u = i*u. Suppose u = -d + 83 + 121. What is the hundreds digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3\/62 + -405\/682. Let j = -5 - -7. Let k = -2 - j. Which is the biggest value? (a) 1 (b) k (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 1 and -201\/9922 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -9735 divided by -15?\nAnswer: 649","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = 3136*w**2 - 2352*w - 37632. Let r(y) = -y - 16. Give -2352*r(m) + z(m).\nAnswer: 3136*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 83, -3, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 38*v - 41. What is m(6)?\nAnswer: 187","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -3*q - 9. Let g be u(-4). Solve 2*o = -o - g for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b = 2*r + 8, 4*b - 3*b + r - 2 = 0. Let j(n) = -4*n**2 + 2*n - 5. Let z(g) = -5*g**2 + 2*g - 6. What is b*j(x) - 3*z(x)?\nAnswer: -x**2 + 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/16 and 55\/8.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**4*(z\/(z*z**(-2\/11)*z))\/z*(z**(-2)*z*z*z)\/(z\/z**(-4\/7)))**(-11))**(3\/2) assuming z is positive.\nAnswer: z**(-186\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -6902.9995261 + 6903. Round m to five dps.\nAnswer: 0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/10 and 43\/400.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 7.429 - 0.029. Let i = 7.3999973 - s. Round i to six dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 4*x - m = 145, 25 = x + 2*m. Let p = -79 + x. Let y = -39 - p. Solve 5*j + y*a = 45, 0 = -j - 2*a + 3*a + 1 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -5*u - 2. Let d(h) = -2*h - 1. Let i(j) = -j + 5. Let o be i(-4). Suppose 42 = -6*w + o*w. What is w*d(r) - 6*p(r)?\nAnswer: 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -18105157 divided by 136129?\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 12*p**2 + 4*p - 1 - 13*p**2 - 7*p + 5*p - 3*p**3. Let q(t) = t**3 + 4*t**2 - 5*t - 2. Let l be q(-5). What is c(l)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*c**2 + 8552*c + 360340.\nAnswer: 4*(c + 43)*(c + 2095)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25540 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5*l + 16 = -0*i, 8 = -4*l. What is the remainder when 701 is divided by i?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.15, -0.3, -3\/58, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3741559?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:53 AM and 11:35 PM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 529.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 14225 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -47*q**3 - q + 5 wrt q?\nAnswer: -282*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -7*l**3 - 7*l**2 - l - 5. Let o(a) = -a**3 - a**2 - 1. Let d(q) = k(q) - 6*o(q). Let z(c) = 5*c**3 + 3*c**2 + 3*c - 3. Calculate 6*d(w) + 2*z(w).\nAnswer: 4*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*4*(0 + sqrt(1053)) + -5*(-3 + sqrt(832) + -1 + sqrt(832)))**2.\nAnswer: 2560*sqrt(13) + 53648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = 2*n**2 + 77*n - 973. Determine z(15).\nAnswer: 632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b - 87 = 132 - 255 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17*d**2*p**3 + 14*d**2*p**2 + 1099*d**2 - 6*d*p**3 - d*p - 82*p - 110 wrt d?\nAnswer: 34*p**3 + 28*p**2 + 2198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*t + 0*t + t)*(187 - 978*t - 187) as b*t**2 + c + r*t and give b.\nAnswer: 978","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19 - 109 = -3*s. Find the first derivative of -8*c + 41 - s - 30 wrt c.\nAnswer: -8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ztz when three letters picked without replacement from tttttzttzttz?\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4)\/(-6) - 4\/12. Let y = -12 + 17. Let h = 5.5 - y. What is the second smallest value in d, 1, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76112876?\nAnswer: 2, 7, 17, 53, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7136245 is divided by 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c, 1 l, and 1 v when three letters picked without replacement from vvcvtvtllevl?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(-3\/7)\/j**(-4\/7))\/((j\/(j\/(j*j**(-1))*j))\/j*(((j**(-1\/2)\/j*j*j)\/j)\/j)\/j*j))**7 assuming j is positive.\nAnswer: j**(51\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-4)\/6)\/(8\/(-12)*-1). Is -1\/124 at most n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((1680\/(-35))\/192*(-820)\/(-25))\/(-1).\nAnswer: 41\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*b + b + 108 = 0. Suppose -12*u + 1008 = -b*u. Calculate the highest common divisor of 24 and u.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in -b**2\/2 + 11*b\/2 - 15 = 0?\nAnswer: 5, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q - 6. Let j(d) = -5*d + 5. Let b(u) = 6*u - 5. Let x(w) = 6*b(w) + 7*j(w). Determine 3*f(z) + 4*x(z).\nAnswer: z + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 51\/31 + -193\/155. What is the closest to u in -10, 0.4, 4, 2\/7?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 18*a - 3*a + 4*a + (9*a + 23 - 23)*(-6 - 10 + 4) - 2*a + a + 0*a to the form p + r*a and give r.\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -93247 and 22.\nAnswer: -93225","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 - 1 + 19)*(-2*r - 78 + 72 + r).\nAnswer: -10*r - 60","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = b**3 - 147*b**2 + 18188*b - 2634151. What is q(146)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 5\/5*(-2)\/24*2\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -393*t + 12220 = -356 for t.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: (445\/40 - -3) + 68\/(-544)\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 44 or 67?\nAnswer: 67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 20 (b) -0.5 (c) 26\/5 (d) -4 (e) 212\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ovvfynvvygvoffvfv. What is prob of sequence og?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -11656, -7, 2, -2, 1 in increasing order.\nAnswer: -11656, -7, -2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 22*q**4 - 2*q**3 - 5*q**2 + 1 + 2*q + 7*q**2 - 19*q**4 to h + l*q**4 + f*q + t*q**3 + k*q**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1)\/(-2) + (345\/138 - (0 + 7))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 742252178?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 3b63?\nAnswer: -3b5d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62 - 43 + 9*x**3 + 105.\nAnswer: 9*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 850027867.\nAnswer: 13, 41, 293, 5443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/(6\/(-8)))\/(7\/21).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x = -0*x - v - 22, 0 = -5*x - 4*v - 28. Let r = -2 - x. Let d be 2\/(-6) - r\/12. What is the nearest to -1 in 2\/21, d, 0.1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2012631 (base 8) to base 6.\nAnswer: 15204505","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-7)\/(-2) + (-12)\/8. Let i(c) be the first derivative of -2*c**2 - 2*c + 3*c**2 + 5 + c**l. What is i(3)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-12)\/24*(-10 - 0). Let k(v) = v**3 + 8*v**2 - 9*v - 1. Let j be k(-9). Let d be (0 - j) + (-12)\/12. Solve 6*x - x - b = d for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 4? (a) -1 (b) -3 (c) 2\/3 (d) -9\/6518\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*w + 3*w + 9 = 0. Let u be (-6)\/8*(-1 + w). Solve -4*h = m - u - 14, -3*h = m - 13 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -125599\/54142 - -4\/2461. What is the common denominator of g and 49\/346?\nAnswer: 3806","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -22*c**2 + 4076*c\/3.\nAnswer: -2*c*(33*c - 2038)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -543 - -547.58. Let r = -2876.719 + 2881. Let u = a - r. Round u to 2 decimal places.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 3*p + 1)*(21*p**3 - 33*p**3 - 35*p**3) in the form s*p + u*p**3 + j*p**4 + n + a*p**2 and give j.\nAnswer: -141","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2. Let g(z) = -2*z**2 + 7*z. Let x(n) = 2*n**2 - 6*n. Let i(s) = -6*g(s) - 7*x(s). Determine f(i(o)).\nAnswer: 16*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-9)\/3)\/(-3) + -9. Let p be (-3 - 1)\/(-2 - -3). Let q = p - g. What is the closest to 2\/3 in -3, q, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y - 20 = -4*m, y + m + 35 = -2*m for y.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 = -6*j - j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 55 divide 7428?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 35*a**3 + 107*a**3 - 36*a**3 - 37*a**3 - 4*a + 3*a in the form g*a**2 + f*a + q + s*a**3 and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m + 131 = -2*m - 5*w, -244 = -2*m + w. Let q = m + -119. Solve -2 = -q*r + 4 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(x) = -31*x**3 + 7*x**2. Let j(y) = 63*y**3 - 17*y**2 + 1. Calculate -2*j(p) - 5*z(p).\nAnswer: 29*p**3 - p**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 0, 3.2748, -2\/13 in decreasing order.\nAnswer: 3.2748, 0, -2\/13, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 0\/((-3 - -9) + -8). Let 0*l + m + 0*l**3 + 3\/2*l**4 + 3\/2*l**5 + 0*l**2 = 0. Calculate l.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4260 (base 7) in base 10?\nAnswer: -1512","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1852.5648156 - -169.\nAnswer: -1683.5648156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5668169 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6 is divided by (-6)\/(1\/2 + -2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 + 20 = -o. Let p = 1 - o. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-8475 - 1753 + 2380)*(-6*i + 3*i - 2*i) as p*i + a and give p.\nAnswer: 39240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 912 divide 8021040?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 - 11. Solve -q + 1 = -i for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of v**5\/130 - 11*v**4\/39 + 3*v**3\/13 + 252*v**2\/13 - 15*v - 204. Factor k(r).\nAnswer: 2*(r - 21)*(r - 4)*(r + 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -73 + 76. Let x be ((-10)\/(-3))\/(-1 - (-15)\/9). Let v = 5 + 1. Solve -x*h + w*h = v for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.051, -1\/2, 193879?\nAnswer: -0.051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8031 rounded to the nearest one thousand?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 699?\nAnswer: 3, 233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 243086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -247 times 16?\nAnswer: -3952","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(3\/8))**(1\/55) assuming l is positive.\nAnswer: l**(3\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 170 is divided by 59?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 6 + -4. Let m(g) = -5*g + 1. Let y be m(-2). Suppose -3*s + y = 3*d - 19, 4*d - 8 = 0. Solve 4*i + s = -2*q, -3*i - 4 = l*i + q for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 443534858?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/(-1*sqrt(7)*-5) + sqrt(16)\/(6*(sqrt(32) - sqrt(8)) - sqrt(8)))**2.\nAnswer: 8\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2072*o + 2073*o + 2*o**4 + 0*o**4 + o**3 to w*o**3 + f*o + q*o**4 + p + s*o**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 83 = -4*g + n, -g - 5*n = -69. Suppose 3*z - g = -u, -6*u = -u - 5*z - 280. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 307575 and 6835000.\nAnswer: 61515000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.2 - -0.2. Suppose -10 = -6*y + y. Which is the nearest to y? (a) -5 (b) -2\/9 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 0.1, 4, -63 in ascending order.\nAnswer: -63, -4, 0.1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -r - 2*y, -3*r + 4*y + 0*y = -15. Let l(h) = -3*h - 3 + r + 4. Calculate the remainder when 14 is divided by l(-2).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -74 (base 15) to base 3.\nAnswer: -11001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 487436 even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*t**2 + 10*t - 10*t)*(-21 - 30 - 2*t + 46).\nAnswer: 12*t**3 + 30*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a factor of 975177630?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w - 5. Let s be q(10). Let y be -2 - (72\/(-34) + 0). Which is the nearest to 0.1? (a) s (b) -1\/6 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6 + 0 - 3)*(-16)\/(-12)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 3*m - 23. Suppose -83*u = -5*u - 41*u + 296. Give x(u).\nAnswer: -47","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 136760 is divided by 17087?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Are -18 and -576 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -76, 0.053, -3, -3\/5, 5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -256, -629, -0.5, -2\/11, 6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = 2*t - 28, q - 4*t + 48 = 6*q. Let v be (-12)\/8*q\/(-6). Suppose -4*n = -5*d - 493, v*d = -n - 2*n + 387. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o = y + 1, y + 2*y = 5*o + 14. Suppose 0 = -y*h - 4 + 16. Let l be ((-1)\/10)\/(h\/(-5)). Which is the closest to 0? (a) l (b) -1\/4 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 6*h + 7. Give m(9).\nAnswer: 61","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -119\/54 and -7\/786.\nAnswer: 7074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 60171820 divided by 6017182?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3889 or 3952?\nAnswer: 3889","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -629006, -1258001, -1886996?\n\"Answer: -628995*l - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -33, -159, -293, -441, -609?\n\"Answer: -b**3 + 2*b**2 - 125*b + 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.2556 nanograms in grams?\nAnswer: 0.0000000022556","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 13272?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -h**2 + h - 1. Let a be k(0). What is the units digit of ((-23)\/a)\/((-10)\/(-50))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5b223 (base 12) in base 9?\nAnswer: 206650","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*q + 4*r - 4, -4*r + 9 - 5 = 4*q. Let w(p) = p**2 - p - 1. Let x be w(-2). Let z(b) = -6*b**3 + 1 + x*b**3 - 7 + b + b**2 + 0. Determine z(q).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the second derivative of -5*j**3\/3 - 37*j**2\/2 - 36*j. What are the prime factors of o(-21)?\nAnswer: 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*d - 2*d - 25 = 0. Let n(s) = 4*s + s**3 + d*s**2 - s + 2*s + 3. What is the units digit of n(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 135*x - 44*x = -1274 for x.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2 - 4*s**2 + s + 6 + 4*s**2. Let x be h(0). Find the second derivative of 2*c - 3*c**4 + x*c**3 - 6*c**3 - 3*c**4 wrt c.\nAnswer: -72*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 * -0.24\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -100*q**2*t**2*x - 6*q**2*t**2 - 2*q**2*x - 68*q - 2*t**2*x + 3*t**2 - 4*t*x - 2 wrt q?\nAnswer: -200*t**2*x - 12*t**2 - 4*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 218 = 43*f + 3 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-9)*2 + 0.\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -62*h - 19*h - 6*h - 4*h to a + o*h and give o.\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 44203430 to the nearest integer?\nAnswer: 354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 8360881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*i**5 - 31*i**5 - 9*i**5 + (i + i - i)*(i**4 - i**4 - 2*i**4) + 189*i**5 + 64*i**5 + 31*i**5.\nAnswer: 239*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 59*p - 59*p - 562*p**3 - 560*p**3.\nAnswer: -1122*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(4 + -5) + -3. Sort 4, b, -16 in descending order.\nAnswer: 4, b, -16","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 590, 586, 580, 572, 562, 550, 536?\n\"Answer: -x**2 - x + 592","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 668.949 + 2.051. What is the nearest to j in 0.1, -0.3, -2\/5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-20)\/(-50))\/(56\/(-10))\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 4600*x**2. Let v(d) = -349*d. Calculate v(p(b)).\nAnswer: -1605400*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (665\/2660)\/((-2)\/(-20)*(-15)\/(-8)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 25, 24, 17, -2, -39, -100, -191?\n\"Answer: -h**3 + 3*h**2 - 3*h + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(1573) + 0 + sqrt(1573) + (-3*sqrt(1573) + sqrt(1573) + 2 + sqrt(1573) - sqrt(1573)) - (5 + 3*-3*(sqrt(1573) + -1))) + -2)**2.\nAnswer: -2376*sqrt(13) + 127557","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 120 - 115. Which is the closest to -1? (a) z (b) -7\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58b5 (base 15) to base 14\nAnswer: 6c21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12, 11, -5, -2, 4, -6 in decreasing order.\nAnswer: 11, 4, -2, -5, -6, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxllxxxxllxxllxxx. Give prob of sequence ll.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 2*m + 2*m. Suppose -u = 5*j - 6*u, -5*j = 2*u + 7. Put m, j, -3 in descending order.\nAnswer: m, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/3, 4\/7, 314, -12, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14379 is divided by 15.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 462138374153*n - 21*n**2 - 462138374153*n.\nAnswer: -21*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 100 - -12122?\nAnswer: 12222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 2cb4b (base 16) to base 13\nAnswer: 6546a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - w = 5*l - 33, -5*l = 5*w - 45. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14612121827 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is eighty-six thirds of a year in months?\nAnswer: 344","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 6461036161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*((sqrt(66) + 2*sqrt(66))\/sqrt(11)*-2)\/(4*sqrt(9)\/sqrt(3)*2).\nAnswer: -15*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 6048930263 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 2*g**2 + 2*g - 2. Suppose -j + 5*j - 8 = 0. Let i(l) = -2*l**2 - 3*l + 3. Let b(o) = j*i(o) + 3*u(o). Let w(t) = 2*t. Determine b(w(p)).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -6 (b) 2\/3 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -79\/96936 and -121\/64440.\nAnswer: 260273160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 3118847 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 - -8. Which is the closest to h? (a) -0.1 (b) 3 (c) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 8*o - 9*o. Suppose 15 = j + 4*a - 26, 5*j - o*a = 205. Are j and 43 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 15) to base 2\nAnswer: -1010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find z, given that -3*z**2\/4 + 5079*z\/4 + 2541\/2 = 0.\nAnswer: -1, 1694","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -z**2 - 7*z + 5. Let s = 50 - 20. Calculate the remainder when s is divided by y(-6).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2166?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 53 - 33. Suppose -18 = 2*z + 2*p - 4*p, -2*z = -3*p + 19. Let s be 36\/z*(-40)\/6. What is the highest common divisor of q and s?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2\/7, 10.5, 2 in ascending order.\nAnswer: -2\/7, 2, 3, 10.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 30 - y**4 - 24 - 3*y**4 + (-y**3 + 0*y**3 - y**3)*(-y + 4*y - 4*y) to the form i*y**3 + z*y**2 + b + t*y + k*y**4 and give k.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/18 + 1\/3. Let l be -3 - (-4)\/8*2. Let v be (l + -1)*(-9)\/27. What is the closest to v in -1, -1\/7, h?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -1. Let y(t) = t. Let f(k) = -a(k) - y(k). Suppose 3*z - 18 = -6. What is f(z)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -265*p + 15766 - 29375 - 6796 for p.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 + (-5 - -7) + -5 - (105 - 90)?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f - 2. Let z(x) = -x - 1. Let p be z(-5). Let u be m(p). Let i(b) = -2*b**2 + 3*b - 2. What is i(u)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*m - 12 = -56 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -86*q + 4. Let j(o) = 160*o - 9. Determine 5*j(t) + 9*n(t).\nAnswer: 26*t - 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide 7 by 29.\nAnswer: 7\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that 3*s**5\/4 + 1534*s**4 + 6635*s**3 + 7137*s**2\/2 - 26543*s\/4 - 10205\/2 = 0.\nAnswer: -2041, -10\/3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*k**3 - 424*k**2 - 860*k - 432 = 0. Calculate k.\nAnswer: -1, 108","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y + 30 = -16*y + 36*y. Solve 2*x - 3*x + y*m + 6 = 0, 5*x = 3*m + 23 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -25, -17, -7, 5, 19, 35?\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.06 and 4847?\nAnswer: 290.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 - 35484*d**2 + 4*d + 35484.\nAnswer: -4*(d - 1)*(d + 1)*(d + 8871)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -10818 - 27?\nAnswer: -10844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-46)\/(14168\/84)*(-2)\/3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -344337 by -133.\nAnswer: 2589","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 269114 and 15201.\nAnswer: 563","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 496 minutes after 1:23 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 220\/(-7920)*-21*3.\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7708, 30834, 69376, 123334, 192708, 277498, 377704?\nAnswer: 493326","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -24.18 + 0.18. Let d = -43.2856 - -19.287. Let u = d - v. What is u rounded to 3 decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1270151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -9 - -149. Suppose o - x - 30 = 0. What is the tens digit of o?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1\/5 (b) 0.06 (c) 1.8 (d) -4\/3 (e) 0.1 (f) 77\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 64054 by -1115.\nAnswer: -64054\/1115","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -730 - -92\nAnswer: -638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -17694, 6 in descending order.\nAnswer: 6, 0, -17694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -10382.6 to the nearest 100.\nAnswer: -10400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -22 + 84 - u - 38 to c + n*u and give c.\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*p**2 - 3*p**3 + p**2 - 3 + 2)*(68 - 62 - 50)*(-3*p + 2*p - 5*p) as x*p**3 + i*p**4 + w*p + z + n*p**2 and give x.\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16.355771 rounded to 1 dp?\nAnswer: 16.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = 5*r - 7. Let y(l) = -1. Let x(d) = n(d) - 6*y(d). Let q be 2\/14 - (-30)\/35. What is x(q)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 a when two letters picked without replacement from vvvasavxvbbvav.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1\/2 + 1\/6. Let b = 3 - 3.2. Let o = -2.2 - b. Is o at most p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 212411838757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1207*z**3 - 4684*z**2?\nAnswer: 7242","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(2\/7)\/r)**(-35)\/(r**(-7))**(-47) assuming r is positive.\nAnswer: r**(-304)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 264738 divided by -5?\nAnswer: -264738\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 74 + -74. Solve -g + 3*g - 8 = i for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2392 + -1026. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18753 and 453033?\nAnswer: 987","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1904 divided by -4.\nAnswer: 476","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) be the second derivative of -d**3\/6 - 3*d**2\/2 - 7*d. Let m be 1 - -2 - (-3 + 17). Let q(f) = 3*f + 8. Let u(v) = m*a(v) - 4*q(v). Determine u(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*p = 172 + 8. Calculate the remainder when 67 is divided by p.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-14)\/4*((-7)\/(8820\/1608))\/(204\/(-765)).\nAnswer: -67\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = -4*z**2 + 3*z + 3. Let a(h) = 11*h**2 - 8*h - 8. Let s(t) = -3*a(t) - 8*m(t). Let k(i) = 7*i**2. Determine s(k(q)).\nAnswer: -49*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/(u**(-2)\/u)*u)**(-34\/7))**(3\/11) assuming u is positive.\nAnswer: u**(-510\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -81313*w - 162631. Calculate d(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 4578 to the power of 1\/2, to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3805 = 4*t - 4287, -y - 4*t + 2008 = 0. Let s = y + -1189. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 25087, 26529, 27971, 29413, 30855, 32297?\nAnswer: 33739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 210431352227 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*q**3 + 648468*q**2 - 9078258*q + 31773560 = 0. Calculate q.\nAnswer: 7, 324220","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m + 5. Let g be a(0). Let n(x) = -2*x - 2. Let c be n(-5). Let o = g - c. Sort 4, o, 1\/5 in ascending order.\nAnswer: o, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(-4) - (-258)\/(-24). Let u(c) = 26*c**3 + 11*c**2 + 21*c + 11. Let i(r) = 5*r**3 + 2*r**2 + 4*r + 2. Give o*i(t) + 2*u(t).\nAnswer: -3*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 554119 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -37656.2399 - -37659.23989989. Let a = -391 - -394. Let c = a - z. Round c to 7 dps.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -11297.1 in 1\/6, -21, -0.3?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 92, 1\/7, -0.5, -6, -41 in increasing order.\nAnswer: -41, -6, -0.5, 1\/7, 92","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/2, -0.3, -249?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 33748 and 50908.\nAnswer: 572","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (224 + 30 + 622*y - 647*y)*(1 - 1 - 1).\nAnswer: 25*y - 254","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 4\/5, -0.01, -0.029, -66?\nAnswer: -0.029","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 38 a factor of 2687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -i - 1 + 19 + 3*i.\nAnswer: 2*i + 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 3*k = -0*k - 5, -k - 25 = -4*x. Suppose 3*l = -3*a + 96, 5*l = x*a - 166 - 44. Is 9 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 674, -3, 1, 0, 5 in ascending order.\nAnswer: -3, 0, 1, 5, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -47 + 24. Let l = -13 - w. Calculate the remainder when 17 is divided by l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 913, 7518, 25497, 60538, 118329, 204558, 324913, 485082?\nAnswer: 690753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + (-2 - (16 - 19)) - (-23 - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the third derivative of 0 - 36*f - 13\/24*f**4 + 5*f**3 + 1\/15*f**5 + 2*f**2. What is the derivative of v(d) wrt d?\nAnswer: 8*d - 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(704) + 2 + sqrt(704)).\nAnswer: -80*sqrt(11) - 10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v + 149 = 161. Let q be 15\/(-75) + v\/5. Solve 2*h = h - q for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 66 and 121?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1 = 3*u + 9, a + 1 = 0. Let x be (1 - -5) + 4\/u. Let g be (x - 1)*-1 + 29. What is g rounded to the nearest 10?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1902837 divided by -1.\nAnswer: 1902837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -6513316 or -6513314?\nAnswer: -6513314","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1a505 (base 13) to base 8.\nAnswer: 144265","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 16 + 191 = 0. Let t = 132 + s. Is t a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -v**2 - v - 3. Let t(d) = 5*d**2 + 4*d + 13. Let i(l) = 9*n(l) + 2*t(l). Let q = 8 - 5. Suppose -2*o - g = -10, -5*g + q*g + 11 = o. Calculate i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-4)\/5 + (-2)\/10 - -161. Let b = -158 + i. Solve -u - b = 2*u - s, -s = -5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 14797442 to the nearest integer?\nAnswer: 246","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 345\/375 - 6\/(-75). What is the common denominator of (-6)\/84*34 + (n - 0) and 43\/161?\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1)\/(-2))\/(186\/124)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 2 m, and 1 n when four letters picked without replacement from mxmmnxxxmmx?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((6*(1*sqrt(170) + sqrt(170)) + sqrt(170))*2)\/(-4*sqrt(90)*2).\nAnswer: -13*sqrt(17)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24650480\/9 or -2738941?\nAnswer: -24650480\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -758 (b) -1\/6811 (c) 2\/7 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -194 = -5*b + 1411. Suppose 4*g - 2*k - b = -5*k, 4*k = 2*g - 144. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -16. Suppose 2*t - 4*t = -5*y + 8, -j*y = -2*t - 4. Solve r = -v + y, -2*v = r - 2*r - 7 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -10*d**3 - 3*d**2 + 10*d - 6. Let q(v) = 9*v**3 + 4*v**2 - 11*v + 4. Let j(c) = -6*k(c) - 7*q(c). Is 32 a factor of j(-8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 222 - 99 - 29 + 77*h - 94.\nAnswer: 77*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/270 and (-376 + 343)*(-4)\/(-1323).\nAnswer: 13230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -49*q + 47*q - 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 9) to base 3\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(2548) - (sqrt(2548) + 1*sqrt(2548)*-5))*2.\nAnswer: -2 + 140*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 55051 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 n(u) = -u**2 + 9*u - 9. Let i be n(8). Calculate the lowest common multiple of (-4 - 9\/3)*i and 9.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1240)\/(-775))\/(4\/30)*4\/(-6).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-30)\/(-4))\/((-5331)\/(-33763)))\/((-20)\/16*-2).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 69*m**2 + 373*m - 38. Determine t(-6).\nAnswer: 208","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + -8 + 10 + 41 - (2 + -25)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2. Let x(j) = 144*j + 135. Let o(w) = -13*w - 12. Let z(r) = -45*o(r) - 4*x(r). Calculate s(z(d)).\nAnswer: -567*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4145 and 61.\nAnswer: 252845","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4 - -5 - 4) + (-1 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-8)\/((-40)\/(-25)) + 5296\/(-4). Round i to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 490 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 210448.\nAnswer: 2, 7, 1879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 5*l - 1695 = 0, -2*l + 7*l + 1735 = 5*k. Suppose -4*o - k = -1591. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 318 a factor of 978804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2171527508 and 706.\nAnswer: 706","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-2\/3)\/d)*(d\/(d*d**(-1\/9)))\/d*d**1\/d**(-3\/2))\/((d**5\/(d*d**(-4)))\/(((d*d**(-2\/11)\/d*d)\/d)\/(d\/d**(-5)))) assuming d is positive.\nAnswer: d**(-1961\/198)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = d**3 + 44*d**2 - 104*d + 193. What is the ten thousands digit of y(-40)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when ((-28)\/22)\/(-7) - (-14230)\/22 is divided by 28.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -n**3 + 4*n**2 + 5*n - 5. Let l be i(5). Let k = 0 - l. Suppose k*d - d = 4. Calculate the highest common factor of d and 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/4161551?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 45 divide 370?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -g**3 + 5*g*h - 191*h + 2 wrt g?\nAnswer: -3*g**2 + 5*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.034 + 0.134. What is the closest to l in -0.04, -3, -2\/13?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -t + 2*r - 3, 5*r = -0*t - 3*t - 42. Let w be (-30)\/t + (-6)\/(-9). Let v be (-3)\/(w\/(16\/21)). Which is the closest to 1? (a) v (b) -2 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 23516960 divided by 16480?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*n + 2*b - 24, -126*n + 45 = -120*n - 5*b for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -14*k - 750. Let u be y(-54). Solve 0 = s - u*s - 15 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(20)\/sqrt(4) + -4 - (1 + sqrt(45)))**2.\nAnswer: 20*sqrt(5) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 499627649 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (820\/287)\/(7\/((-588)\/(-10)))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/4 - 115*x**2 - 59125*x\/4 - 693375\/2.\nAnswer: -(x + 30)*(x + 215)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -785 - -3241. Let s = q + -949. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1701 divided by 3.\nAnswer: -567","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2023*q - 11 = -2*m - 2024*q, 0 = 5*m - 3*q for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dflddfgffggldffgfg. What is prob of picking 2 g?\nAnswer: 10\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/21, -3, -1\/9, -0.3, 5 in ascending order.\nAnswer: -3, -0.3, -1\/9, 2\/21, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 10, 38, 114, 262, 506, 870?\nAnswer: 1378","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 686140 a multiple of 273?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (17 + -3 - (-31 - -22)) + 18 + -11\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -14*d**3 + 4*d**2 - 4*d + 3. Let b be u(3). Let l be (-1)\/(-1) + (4 - 9). Calculate the common denominator of b\/60 + l\/(-10) and 53\/10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-708*t - 2157*t - 2061*t)*(-2*t - t + 7*t)*(-3 - 2 + 3).\nAnswer: 39408*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 615856975 and 1900.\nAnswer: 475","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/4527492591 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 10, e: 6, s: 2}. Give prob of sequence es.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 56 and 2855584?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 27994705 to the nearest integer?\nAnswer: 304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -k**3 + 4*k**2 + 3*k + 10. Let d be x(5). Suppose d = -5*b - z + 1470, -2*b - 4*z - 859 = -5*b. Is b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3035*c - 20 = -3039*c. Put c, -1, 0, -16 in increasing order.\nAnswer: -16, -1, 0, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 95696463?\nAnswer: 3, 31898821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 3*i - 105 = -125, 4*i - 25 = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1 - 3 - 0) + 3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -3*l**2 - 5*l - 10. Let r be k(-7). Let d = -48 - r. Suppose 3*s = 12, -d = -4*c + c + s. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 7\/(-56) - (41165\/(-40) + 3). What is the highest common factor of 27 and q?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine j, given that -2*j**2\/9 - 9856*j\/9 - 9854\/9 = 0.\nAnswer: -4927, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 9*h**3*p**4 + 248*h**3*p - 95616*h**3 - 1388087*h*p**4 - p**2 wrt p?\nAnswer: 216*h**3*p - 33314088*h*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 35079551 rounded to the nearest one hundred thousand?\nAnswer: 35100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 3*h + 2*g + 14 = 0, 2*g - 26 = -3*h. Let l = h + -11. Let f = 25.8 + -26. Which is the fourth smallest value? (a) 0.4 (b) 1\/5 (c) l (d) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 2*b = -3*b - 5, 4*m - 4*b = -4. Suppose 2*j - 214 = -m*n - n, 4*j - 5*n = 493. Calculate the highest common divisor of 13 and j.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hg when two letters picked without replacement from {g: 2, l: 2, w: 1, x: 4, o: 4, h: 1}.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = -2*l + 1903, -2*a = l - 929 - 26. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 - h)*(0*h**3 - 2*h**3 + 4*h**3) + 1070*h**4 - 4104 + 4104 - 14650*h**4.\nAnswer: -13582*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 193241 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide (-8)\/(-4 - -3)*(-1442)\/(-56)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5.0965 rounded to 0 dps?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -6624 divided by -36\nAnswer: 184","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1336736756?\nAnswer: 2, 334184189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*k - 8*k = -4. Find the second derivative of -7*d - 482*d**k + 482*d**2 + 13*d**3 wrt d.\nAnswer: 78*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 38336 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1122 + 1159. Let v = 273 - 125. What is the greatest common factor of t and v?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 47947863 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 144 - -1 - ((-24 - -18) + 14). Solve -b*r + 141*r = 28 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h**4 - 595680*h**3 + 6552136*h**2 - 20847360*h + 14890900 = 0 for h.\nAnswer: 1, 5, 148909","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*k - 37830 = -106*k. What is the least common multiple of k and 117?\nAnswer: 1170","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 49\/6 of a century in months?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**2 + 14*x + 11. Let s be t(-13). Let v be s\/(-10) - 45\/(-25). Which is bigger: -2 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 91599, 182611, 273029, 362847, 452059, 540659?\nAnswer: 628641","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 2*f. Let g(k) = 86*k**2 + 1. Determine g(h(w)).\nAnswer: 344*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 9865646 to the power of 1\/2, to the nearest integer?\nAnswer: 3141","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -12*a**3 - a + 1. Let z be x(1). Find the common denominator of 9\/2 and (-95)\/z - (-1)\/6.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*t**5 - 44*t**4 - 40*t**3 + 424*t**2 - 532*t + 196.\nAnswer: -4*(t - 1)**3*(t + 7)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -814812 + 814801.5999888. Let s = i + 10.4. Round s to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 0\/(-12) + -6*(-6)\/9. Suppose 3*i - 8 = h - 2*h, z*h = -i + 21. Let g be (-4)\/(-39)*18\/(-12). Which is the smallest value? (a) i (b) 11 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 84894.53um to centimeters.\nAnswer: 8.489453","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 14, 27, 58, 113, 198?\n\"Answer: o**3 + 3*o**2 - 3*o + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 3*i + 6 = 0, -4*i - 2 = 2*x - 0. What is the least common multiple of ((-1)\/2)\/((-1)\/18) and x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 1455 and 892315?\nAnswer: 259663665","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uhouhhhuoub. What is prob of picking 2 o?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, -73, -125, 1\/7, -5\/4, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/2033 in 1\/8, -4, -14?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -0.001.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6339558.\nAnswer: 2, 3, 367, 2879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 107 + -100. What is the units digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the third derivative of -7*z**6\/200 + z**5\/20 + z**4\/20 - 8*z**2. Find w such that s(w) = 0.\nAnswer: -2\/7, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011111001100 + -101001011?\nAnswer: -1100100010111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v + 2*l = -1142, v - l = l + 382. Let m = v + -373. What is the remainder when 2\/(-6) + (-100)\/(-3) is divided by m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 - 181*c**2 - 7379*c + 83. What is g(-119)?\nAnswer: 202","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3445868.\nAnswer: 2, 379, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1\/3 - ((-356)\/12 + 0) is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 568513?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -2\/43 (b) 2\/37 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 32692878997 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -913746, -1827625, -2741504, -3655383?\nAnswer: -4569262","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is a (base 15) in base 8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -56474548 <= -56474550?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 73, 32, -37, -134, -259?\nAnswer: -412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -30701, -30527, -30353, -30179?\n\"Answer: 174*z - 30875","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193 is divided by 14.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -191 = -24*i - p, 2089*i - 12 = 2088*i + 4*p for i.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-10)\/34)\/((-40)\/16)?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10.8, -86, -1\/4 in increasing order.\nAnswer: -86, -1\/4, 10.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c**3 - 4*c**2 - 4*c - 10. Suppose -10 = 8*f + 22. Give d(f).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the first derivative of q**4\/2 + 18*q**3 - 418*q**2 + 2368. Factor o(u).\nAnswer: 2*u*(u - 11)*(u + 38)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 1, v: 1, e: 2, u: 2}. Give prob of picking 2 u and 2 e.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**2 - 3*n**2 + 2 - 10*n + 0*n. List the prime factors of g(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -55.71 times -9.71\nAnswer: 540.9441","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5592 (base 11) in base 8?\nAnswer: 16301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24572383 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 8 = -4*d, -d + 8 = 2*q + 3*d. Suppose 8*y = 4*y + 8. Solve q = -3*l - y*l + 20 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k**2\/2 - 9812346*k - 16047022337286 = 0 for k.\nAnswer: -3270782","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 32*x = 30*x - 8, 2*l - 5*x - 50 = 0. Solve -16*p + l = -19*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) be the third derivative of b**5\/10 - 57*b**2. Let x(s) = 29*s. Give g(x(p)).\nAnswer: 5046*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 117418, 470790, 1059742, 1884268, 2944362?\nAnswer: 4240018","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-3)\/(3\/(-4)) + -3. Let i(n) = 21*n - 13092 + 13092. What is i(b)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 893, 1073, 1731, 3107, 5441, 8973, 13943?\n\"Answer: 40*m**3 - m**2 - 97*m + 951","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(27)\/(sqrt(36)\/sqrt(4)) + -1)**2 - ((-5*-2*sqrt(3))**2 - ((sqrt(243)*3 - sqrt(243)) + sqrt(3))).\nAnswer: -297 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = -b**3 - 7*b**2 - 4*b + 14. Let w be i(-6). Let m = 3 + 1. Suppose d = w*j + 2*j - 10, d = j - m. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:37 AM and 8:50 AM?\nAnswer: 313","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13935 and 35.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 949\/2 + -474. What is the nearest to y in 0.027, 2\/7, -3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -33.81 times -4387\nAnswer: 148324.47","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11558 is divided by 825.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 40.19 - 40. Round a to 1 decimal place.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the first derivative of -r**4\/2 - 695*r**2 + 4249*r - 4126. What is the first derivative of g(n) wrt n?\nAnswer: -6*n**2 - 1390","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g**(-1\/4)*g)\/g))\/g**(-3\/14))**(-11\/7) assuming g is positive.\nAnswer: g**(-451\/196)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/7 (b) -2 (c) -0.4 (d) 3 (e) 0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*v + 4*w + 40, -5*v - 105 + 75 = w for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -35 + -21 + 24 - (2 - (1 + 1))?\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uwwu when four letters picked without replacement from {u: 14, w: 4}?\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.05 (b) 3990.5 (c) 44\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p + 7. Let c be j(0). Let o = 21 - c. Calculate the remainder when 41 is divided by o.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 9, 1, -673, -2\/33, 4?\nAnswer: -673","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 7. Let m(n) = 4*n - 62. Give -4*l(j) + m(j).\nAnswer: 4*j - 90","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000003761 rounded to six dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2 - 1. Let a = -34557 + 34561. Sort r, a, 1 in decreasing order.\nAnswer: a, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 46\/5 of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -28*r + 33*r + 4*x - 172, -20 = -r + x. Calculate the smallest common multiple of r and 13076.\nAnswer: 13076","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) - (sqrt(76)*-5 + sqrt(76))*3 - (-5*(sqrt(76) + sqrt(76)*-5) + sqrt(76)))\/(-2*sqrt(64)*5 + -2*sqrt(64)*-1 + sqrt(64)))**2.\nAnswer: 76\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -13710 plus 1.3?\nAnswer: -13708.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 71*l*m*t - 39*l*m + 3*l*t + 14594*l + 250*m*t + 3*m - 4*t wrt t.\nAnswer: 71*l*m + 3*l + 250*m - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 199396?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 5880*j**3*l**3 - 378*l**3 - l**2 + 5*l wrt j?\nAnswer: 17640*j**2*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11942 + 11942 + 255*z)*(2 - 2 - 2*z).\nAnswer: -510*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**3 - 3*g**3 + 21 - g**3 - 5.\nAnswer: 3*g**3 + 16","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3650 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 58*v + 4. Let d(x) = -177*x - 8. Calculate 3*d(m) + 8*q(m).\nAnswer: -67*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -150 - -156. Suppose p + 15 = -3*q, -k*p = -3*p + 2*q + 31. Let j(l) be the first derivative of l**4\/4 + 3*l**3 - l**2\/2 - 8*l + 9. Give j(p).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.9997 rounded to two decimal places?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 42 = -8. Suppose -3*u - 4*w + o = 0, -2*u - 1 = u - 5*w. Suppose 3 = -h + 2*h. What is the remainder when u is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 653 to the power of 1\/2, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t - 3. Determine i(-1).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p + 4*p - 10. Let t(j) = -3*j**p - 3*j**2 - 6*j + 2*j**2 + 6*j**2. What is the units digit of t(4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2. Let u be y(0). What is the tens digit of -1 + 30 + u\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*c + 0*c + 4 - 114 = 4*j + 16*j, 71*c - 172 = 5*j for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3332a - 0?\nAnswer: 3332a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 25.\nAnswer: 0, 4, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -240*t = -237*t + 5*p - 1, -2*t - 5*p = 1 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 150.34045 to one decimal place.\nAnswer: 150.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 570 a factor of 13510941?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) be the first derivative of x**7\/840 - x**6\/120 + x**5\/120 - x**4\/24 - x**3\/3 - 3. Let f(j) be the third derivative of o(j). Determine f(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q\/(q**(-2\/11)\/q*q)*q*q*q*q*q\/(q**(-22)\/q*q) assuming q is positive.\nAnswer: q**(321\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 4. Let o = 183\/2 - 3473\/38. Sort 0, v, o in ascending order.\nAnswer: 0, o, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/15? (a) -3\/5 (b) 0.4 (c) -26055 (d) -48\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 391 is divided by 66?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 3, c: 3, l: 3, f: 2, j: 2, w: 1}. Give prob of picking 1 l and 2 f.\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -18.8 + 17. Let o = w + 1.800075. What is o rounded to five decimal places?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65 + 226 - 73 - 74 - 3*l - 48*l**2.\nAnswer: -48*l**2 - 3*l + 14","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 6, h: 2}. What is prob of picking 2 r and 1 h?\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -1733653*o - 6934612. Give s(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12.5*-0.046.\nAnswer: -0.575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out 685770 * -0.16.\nAnswer: -109723.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 637 is divided by 256?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 x when two letters picked without replacement from lgxxlgxvgg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 101 minutes after 7:26 PM?\nAnswer: 9:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1162657, -2325309, -3487961, -4650613, -5813265?\nAnswer: -6975917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h**2 - 6*h + 6. Let v be n(-6). Calculate the remainder when (2\/v)\/((-5)\/15)*-53 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 69219691 divided by 1.\nAnswer: 69219691","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 718?\nAnswer: 2, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Divide -13 by -809.\nAnswer: 13\/809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5953.794 tonnes to micrograms.\nAnswer: 5953794000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -9864762 divided by -173066\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oggzgmzmgznngzgz. Give prob of sequence mzm.\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*c - 4*c - 6115*c**2 + 6*c + 3.\nAnswer: -6115*c**2 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.02073175 to two decimal places.\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 12897552?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 178 and 18.\nAnswer: 1602","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = 3*u**2 + 2*u + 3. Let k(q) be the first derivative of q**3\/3 + q + 22. What is -f(r) + 2*k(r)?\nAnswer: -r**2 - 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2 - 4. Suppose 0 = -0*s - 2*s + 4. What is the third biggest value in y, s, 3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3226 - 3180. What is the highest common factor of 1863 and n?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*r**2 + 790 - 790 - 2*r**2.\nAnswer: -6*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -23\/38274 and 31\/508.\nAnswer: 9721596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -25, -22, -19?\n\"Answer: 3*w - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 699.7056t?\nAnswer: 699705.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -a**2 + 33*a + 10. Let q(p) = 4*p**2 - 99*p - 31. Let d(r) = 11*g(r) + 4*q(r). What is s in d(s) = 0?\nAnswer: -2\/5, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -17*q**3 - 14*q**2 + 9. Let p(s) = 4*s**3 - 5*s**2 - 10*s + 8. Let n(z) = 2*z**3 - 2*z + 1. Let t(w) = -5*n(w) + p(w). What is -3*h(x) + 8*t(x)?\nAnswer: 3*x**3 + 2*x**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f + 4 = -77162*q + 77166*q, f - q - 3 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215.9 or 13\/621?\nAnswer: -215.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -151 divided by 4\nAnswer: -151\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = 3*y - 2. Let u be a(7). Suppose -u = -4*m - 5*j, 6*m = 3*m - 4*j + 15. Which is bigger: -1\/9 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 118 + 449 = -81*v for v.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26834\/321 or 85?\nAnswer: 26834\/321","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**3 + 10*f**2 - 7*f + 15. Calculate x(-11).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a**3 - 6*a**2 + 3*a - 6. Let w = -565 - -571. Calculate j(w).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 2*c + 2. Let f be t(1). Let r(o) = o**2 - 9*o + 10. Suppose 0*l = -4*l + 32. Let n be r(l). Calculate the highest common factor of n and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -605*w - 4876 + 29634 + 12752 for w.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 983185 is divided by 2701.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of a**6 - 65*a**4 - 909*a**2.\nAnswer: 120*a**3 - 1560*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1663 - 39?\nAnswer: 1624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(-5)\/k**(-6))**(-3\/10) assuming k is positive.\nAnswer: k**(-3\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -1 divided by 3693\nAnswer: -1\/3693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*q + 12*q - 2*q)*(2 - 1 - 2 + (2 - 6 + 2)*(-3 + 2 + 0) - 3 - 1 - 3).\nAnswer: -18*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 15 + -9. Suppose 25 = i - a*i. What is the second smallest value in i, 0, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2111897 (base 10) to base 9.\nAnswer: 3867872","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-75)\/65 + (-3 - 20\/(-5)). What is the smallest value in g, 0.4, 64?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 12*y**2. Let c(b) = b**2. Let a(n) = 22*c(n) - 2*r(n). Let j(f) = -9 + 9 - 12*f**2. What is a(j(p))?\nAnswer: -288*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-765)\/(-270) + -2 + (-26)\/(-12).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-11)*(h\/(h\/h**(-2)))\/h)\/(h**(2\/9))**10 assuming h is positive.\nAnswer: h**(-146\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i + 7 = -5. Suppose 0 = -y + i*y + 9. Let k be (-3)\/y*(-1 + 2). Solve 13 = -4*d + k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-2)\/(-2)*(7 - 2). Let w(d) = -39*d + 1. Let f be w(-1). What is the highest common factor of y and f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 2*d**3 + d**2 - 8*d - 1. Let a(l) = -l**3 - l**2 + 4*l + 1. Let m(v) = 7*a(v) + 3*o(v). Give m(-4).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2 - 190339*f - 545796 wrt f.\nAnswer: 4*f - 190339","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 25\/1372 and 55\/168?\nAnswer: 8232","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3847 + -24585. Suppose -3*c + 59196 = -5*j, 0 = 2*j - j. Let h = c + m. Round h to the nearest 1000.\nAnswer: -9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 182 (base 14) in base 15?\nAnswer: 15a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -56.95 - -0.95. Let m = -56.000061 - v. What is m rounded to five decimal places?\nAnswer: -0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 36.8 + -36.759. Let o = 0.059 + q. Sort -14, o, 3\/7 in increasing order.\nAnswer: -14, o, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 3*d**3 - 5*d**2 + 5*d - 3. Let i = -490 + 508. Suppose -16*h + i = -22*h. Let f(s) = 2*s**3 - 3*s**2 + 3*s - 1. What is h*y(v) + 5*f(v)?\nAnswer: v**3 + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 159*b - 157*b - 55 = 0, 0 = -5*i - 2*b + 315. Calculate the highest common factor of 15 and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*v = 6*v - 12, 4*p - 3*v = 120. What is the smallest common multiple of p and 4320?\nAnswer: 4320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3 - -7. Let b(h) be the second derivative of -h**4\/12 + 7*h**3\/6 + 3*h**2\/2 + 2*h. What is the units digit of b(o)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -m - 27. Calculate g(-8).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -262 - -285.39. Let p = b - -0.61. Let g = 24.1 - p. What is the nearest to 0.1 in g, -0.1, -2?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m - 2, 4*n - m - m = 6. Suppose n*u - 1881 - 1457 = 0. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = y**3 - y**2 - 18*y + 8. Calculate the remainder when g(5) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*4*(4*sqrt(396) + sqrt(396))*-1 + (-3*sqrt(396)*3 - -1*(sqrt(396) + -4))**2.\nAnswer: 744*sqrt(11) + 25360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*r**3 - 340*r**2 + 268*r + 88.\nAnswer: -4*(r - 1)*(r + 22)*(4*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2*(15\/(-2) + (-1 - 1)). Let q = d - 21. What is the tens digit of -3*(-2)\/(-15)*q*50?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 8416000 to the nearest 100000.\nAnswer: 8400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 64 - 63.7. Let s = 9 + -9. Which is bigger: o or s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -55\/519 and 61\/177?\nAnswer: 30621","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*u**3 + 291*u**2 + 12*u**4 - 148*u**2 + 2 - 141*u**2 to the form v*u + f + n*u**2 + i*u**3 + j*u**4 and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) be the first derivative of 4*n**3\/3 - 5. Let d(q) = -2*q. Calculate v(d(z)).\nAnswer: 16*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30415 and 9559.\nAnswer: 334565","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -299, -581, -835, -1049, -1211?\n\"Answer: 2*t**3 + 2*t**2 - 302*t - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2276 + -1167. List the prime factors of b.\nAnswer: 1109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 162 and 270?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -20*h. Let c(d) = 742 + 744 + 3*d - 1486. Give t(c(p)).\nAnswer: -60*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 561 divide 29601726?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*w = 24*w + 4 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20 - -29. Let c be ((-4)\/3)\/((-30)\/v). Factor -3\/5*s**4 + 0*s**2 + 0 + 0*s + c*s**5 + 1\/5*s**3.\nAnswer: s**3*(s - 1)*(2*s - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 38\/3 of a century?\nAnswer: 15200","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ce when two letters picked without replacement from {c: 2, e: 4}.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 184569313 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 617326 (base 8) to base 12\nAnswer: 9a41a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 83 + -59. Suppose -4*r + 12 + j = 0. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-138)\/17 + (8\/36)\/((-34)\/(-18))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -4*l - 23. Let b be k(-6). Let j be (1\/b)\/(1\/2*-2). Let h be (-12)\/(-18) + (-1)\/(-3) + j. Solve 6 = -h*p + 3*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(30)*6*2*5)\/(sqrt(48)\/((sqrt(72) + 1*sqrt(72) - sqrt(8)) + sqrt(8))*-4).\nAnswer: 180*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 126325 and 20.\nAnswer: 505300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 865 - 858. What is the smallest common multiple of y and 483?\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -24474 to the nearest one thousand.\nAnswer: -24000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1107 divided by -1?\nAnswer: 1107","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 1557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 119, 236, 355, 476, 599?\nAnswer: 724","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 292861?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -w - 4*v + 1, -180*w - 3*v = -182*w + 2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 91*j + 33*j + 89 + 69 - 31 wrt j.\nAnswer: 124","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that 3*r**4 - 51*r**3 - 492*r**2 - 324*r + 864 = 0.\nAnswer: -6, -2, 1, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*g - 29*g + 480. What is the remainder when g is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f + 2. Let g be s(0). Suppose -2*j - 3*j - g*n = -56, -n - 2 = 0. Solve v + 3*v + j = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -210 by 41.\nAnswer: -210\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3284392 and 269512.\nAnswer: 4568","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/4*(-52)\/(-8). Let i(b) = -b**2 - 12*b + 21. Let n be i(p). What is the second biggest value in -2, 2, n?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9286?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 134069128?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:54 PM and 2:44 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 2*s**3 - 28*s**2 - 63*s - 25. What is w(16)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 12 - 6. What are the prime factors of u?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6209582369 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/5 + (-18)\/105\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19416806, 19416807, 19416808, 19416809, 19416810, 19416811?\nAnswer: 19416812","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = q**3 - 20*q**2 + 26*q + 4. Let o be c(19). Suppose 5*b = 0, -3*f + b + 2 = 269. Let i = f + o. Calculate the highest common factor of 6 and i.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**2 + 32846*d. Let p(y) = -y. What is p(q(n))?\nAnswer: 2*n**2 - 32846*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 126971 and 126617 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 4*k. Let i be t(2). Solve 0 = 3*m - 4*x - 8, -i*m + 5*x = m - 5 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1180188444.\nAnswer: 2, 3, 41, 331, 7247","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 7.3 + -7.7. What is the smallest value in -2\/11, m, -0.3, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 93 = -4*k, 4*q - 8*k + 155 = -3*k. Let c be (-10)\/q + 2404\/14. Suppose -5*m + c = -m. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = 47*m + 3. Let i be r(1). Suppose 0 = -6*j - i + 218. Let l = j - 8. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*x - 1 + 1 - 4*x + 2*x + x + (4 + 2 - 1)*(x + 0*x - 3*x) - x + 5*x + 38*x.\nAnswer: 33*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 759281501.\nAnswer: 11, 41, 149, 11299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -45.6309 - -41.993. What is v rounded to one dp?\nAnswer: -3.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6264474 = -24*y - 1570794. What is y rounded to the nearest 1000?\nAnswer: 196000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:54 PM and 6:19 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/15 in 2\/7, 2\/15, -316, -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2? (a) -15 (b) 5 (c) 2\/5 (d) 1835\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 2*z**2 - 5*z + 1. Let k be q(3). Solve c - k*c = 15 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the first derivative of -2*l**4 + 4*l**3\/3 + 5*l**2\/2 + 2*l - 3. Is x(-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1886 = -5*c - f, -180 - 962 = -3*c + 2*f. Suppose -v = 5*v + c. What is v rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -u + 79. Suppose 5*g - 1 + 11 = 0. Let s = -2 - g. Is h(s) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/((p**1*p)\/p))**(-2\/15)\/(p**(1\/2))**(-20\/7) assuming p is positive.\nAnswer: p**(10\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (168*m - 168*m - 4*m**2)*(1 + 4*m**2 - 1) in the form z + s*m**3 + t*m**2 + j*m**4 + g*m and give j.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-6045)\/117)\/31)\/(-1*(-5)\/(-3))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 755*v - 383*v - 373*v.\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 5598 and 118802.\nAnswer: 622","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 4 = -0*d + 2*d, 0 = 4*d + s + 17. Let o(i) = -12*i - 4. Let u(q) = 13*q + 5. Let w(f) = d*o(f) - 4*u(f). Does 4 divide w(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-161587)\/6 - 3\/(-18). Let v = -162271\/6 - k. Let i = v + 118. What is the common denominator of i and -69\/20?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/((-3)\/(-2)*10\/(-30)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000691212202 rounded to seven decimal places?\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 12489477?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2542250387?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 693289575 and 198?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 396*v**3 + 415*v**3 - 775*v**3.\nAnswer: 36*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.04 and -301.197?\nAnswer: 12.04788","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3377\/4 - 845. Which is the second biggest value? (a) -1\/27 (b) 3 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/38812050 and -1\/36?\nAnswer: 77624100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1963287 to the nearest integer?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21\/856 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 202*f - 197*f + 15 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 322677440 divided by 8066936\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-204)\/119)\/((-2)\/63). Solve s*a = 57*a - 9 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 5*o**4\/3 + 7*o**3\/6 - 3*o**2 + 94*o. Is 32 a factor of w(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3, 0, -21, 2\/963?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -142 + 209. Suppose 4*t - 133 - s = 0. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6675)\/445)\/((-25)\/(-1)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*98*21\/882?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-8)\/3)\/((-3)\/9). What are the prime factors of q*2 - (-8)\/(-4)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 2 + (5 - 6 - 6) - 6?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 24629*l**2*x**2 - 6558*l + 3*x**2 wrt l.\nAnswer: 49258*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 197 divide 230485469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (g**2 + g**2 + 2*g**2)*(0*g - 3*g + 4*g + (-3 + 4 - 2)*(4*g + 2*g - 4*g) - 2*g - g + g - 4*g + 3*g + 2*g).\nAnswer: -8*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:03 PM and 12:12 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/108 and 89\/3023310?\nAnswer: 54419580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2223 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -45\/70558 and -53\/40?\nAnswer: 1411160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 18619?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.04 - -3.96. Let y = -0.7 + 0.5. Let p = y - -0.4. What is the nearest to 0.1 in p, 3, b?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.63 * 1.1\nAnswer: 0.693","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 1, 7.97.\nAnswer: -0.2, 1, 7.97","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 5*x - 35. Let m be w(8). Let r(g) = -g + 4. Let k be r(0). Let l = -2 - k. Put l, -2, m in ascending order.\nAnswer: l, -2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*s**2\/3 - 7762588*s\/3 - 7762586\/3.\nAnswer: -2*(s + 1)*(s + 3881293)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 40 (base 15) to base 7.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*j**2 + 6*j**3 + 7*j**2)*(-34 + 34 + 8*j**2).\nAnswer: 48*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8836, 8837, 8832, 8815, 8780, 8721, 8632, 8507?\nAnswer: 8340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that z**3\/7 - 2315*z**2\/7 + 661*z - 2313\/7 = 0.\nAnswer: 1, 2313","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -3*h**3 + 6*h**2 - 6*h - 11. Let l(o) = -7*o**3 + 11*o**2 - 15*o - 23. Let c(m) = 2*l(m) - 5*z(m). Determine c(8).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 589924 is divided by 196596.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -454*h - 3304 - 782 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29321 - -32120. Solve -2800*u + 5 = -i*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -14*l + 11*l + 4*z + 12491, -3*z = l - 4155. What are the prime factors of l?\nAnswer: 3, 19, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 732653 is divided by 1913.\nAnswer: 1887","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/(-6)*(-36)\/(-8). Let i(g) = -g**2 - 7*g - 4. Let p be i(v). Let y(h) = 2*h - 5. Let c be y(5). Solve -3*j + 16 = -c*o + o, -p*j - 20 = 5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15269*-0.037\nAnswer: 564.953","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -3, 23\/11, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = l. Let z be p(3). Suppose z*j = 8*j - 75. What is the units digit of 8\/10*j\/2?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0 = 3. What is the greatest common divisor of 9 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -37? (a) 2\/9 (b) -8 (c) -0.126 (d) -4 (e) 33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x - 18 = -x. Let k be x\/5*10\/6*-1. What is the third derivative of -k*r**5 - 13*r**5 - 31*r**5 + 9*r**2 + 3*r**2 wrt r?\nAnswer: -2760*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 25755314*f + 5097128?\nAnswer: 25755314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y\/y**(-27)*y*y*y*y\/(((y*y**(1\/2)*y)\/y)\/y))**(-2\/3) assuming y is positive.\nAnswer: y**(-67\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 114*a = 118*a - 7292. What is the hundreds digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -7.36 + 7.06. Which is the third biggest value? (a) -22 (b) x (c) -3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from anlvlvxxvlqn. What is prob of sequence nla?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*w + 4*w = 98*w - 10108. Calculate the remainder when 601 is divided by w.\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = q**3 - 9*q**2 - 9*q - 3. Let r be d(10). Suppose 5*t = r*t - 864. What is the greatest common divisor of t and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k = -278 + 872. Let r = -49 + k. Calculate the highest common factor of r and 68.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 107, 24, 0?\nAnswer: 107","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -1, -2\/549, 20, 0.3, -0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - 0 - (0 + -8) - 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4164049896 to the power of 1\/2, to the nearest integer?\nAnswer: 64529","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 3:11 AM?\nAnswer: 11:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 20431 to the power of 1\/2, to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 9:06 PM?\nAnswer: 1:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -3a5b0c9?\nAnswer: 3a5b0ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(-14 + (-59 - -68)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -669, 269, -3\/8?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3\/7 in -3, -4, -4\/7, -1, -1.2?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 339*l**3 - 8*l**2 - 4341*l?\nAnswer: 2034","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -21328958 by -322.\nAnswer: 66239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 5, -41\/6, -11.4 in descending order.\nAnswer: 5, -5, -41\/6, -11.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 - -42. Let -7*n**3 + n**3 - 6*n**4 + 123*n**2 - 125*n**2 - 2*n**q = 0. Calculate n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*q, -2*n + 3*q - 8 = -3*q + 5*q for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.088? (a) -2 (b) 16 (c) 5 (d) 2\/5 (e) -0.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 47679190 rounded to the nearest one hundred thousand?\nAnswer: 47700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-28)\/7 - (4 + 2). Let c = -10 - l. Suppose 2*p = 3*g - p + 6, 2*g - p - 1 = c. Solve -16 = -g*o + 7*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1356*b**2 + 40 - 40 - 1358*b**2.\nAnswer: -2*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from zzzzzzz.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + -8 + 62 - (-20 - -7 - -16 - 12)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + (1 + sqrt(208))*2*5)*-2)**2.\nAnswer: 3520*sqrt(13) + 83684","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -465*u**3 - 13*u**2 + 239. Let h = -24 + 37. Let j(a) = 233*a**3 + 6*a**2 - 120. Let t(b) = h*j(b) + 6*o(b). What is the derivative of t(s) wrt s?\nAnswer: 717*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2217*-0.95702\nAnswer: -2121.71334","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 5*l = -347, 5*j + 0*l - 920 = -5*l. Let s(n) = -n**2 + 15*n - 2. Let x be s(15). What is the remainder when j is divided by x + 10 + -4 + 42?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 + 92 + (1 - 2)\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7 - (-1 + 2 + 2). Suppose -4*k = 4*r + h, 23 - 3 = 4*r - 2*k. Let f be (-142)\/(-6) + 1\/3. What is the highest common factor of f and r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 8*m**3 - 2*m - 1. Let w = -66 + 70. Let v be w + (-4 - 0) + -1. Give o(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 18115199?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 60 - 56. Let r = 1358 + -1358. Solve r = 2*x - 5*x + n*c - 11, 0 = -2*x - 4*c - 14 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 - -9. Let t(g) = -23*g - 12. Is t(h) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = w**3 + 4*w**2 - w + 4. What is the remainder when 22 is divided by y(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*o**2 - o**2 - 164357*o**3 + o**2 + 164352*o**3.\nAnswer: -5*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*l + 165*s - 162*s - 3 = 0, 3*s = l + 3 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 29*a**2 + 82*a + 35. What is the hundreds digit of q(11)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2024 and 1584?\nAnswer: 36432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -236922 divided by -2?\nAnswer: 118461","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ivvi when four letters picked without replacement from evvivvvvvvvmmvv?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1744 and 981.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 4*x - 15 = -5*x, 5*x + 25 = 0. Find the first derivative of 2*t**d + 6 + 9 - 14*t**4 + 5 wrt t.\nAnswer: -48*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 5 + 353442?\nAnswer: 353447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) be the third derivative of p**4\/6 + 79*p**2 + 2. Let h(g) = 26*g**2. What is x(h(k))?\nAnswer: 104*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1122122021002022 + 1?\nAnswer: 1122122021002100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i*(i*i\/i**(-2))\/i)**(1\/61))**49 assuming i is positive.\nAnswer: i**(196\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 208.993 + 0.007. Let k = h + -199.1. Let n = k - 9.9073. Round n to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 157476 and 132?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -552*w + 30*w**2 - 142*w**2 + 555*w.\nAnswer: -112*w**2 + 3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 2, n: 5, h: 7}. Give prob of picking 4 h.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.490102447 to 2 dps.\nAnswer: 1.49","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xppxxppxxpxppxxgxpp. Give prob of picking 1 g, 1 p, and 2 x.\nAnswer: 27\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -18*a**3 + 5*a**2 + 127*a - 5. Let q(z) = 25*z**3 - 7*z**2 - 190*z + 7. Give -5*q(m) - 7*x(m).\nAnswer: m**3 + 61*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-459 - -458) + (0 + -6 - 1) + 4\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 3608246385 to the power of 1\/2, to the nearest integer?\nAnswer: 60069","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -2*h - 40. Give v(-16).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 7 (b) -3 (c) 1\/2 (d) 976\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 428 minutes before 11:16 PM?\nAnswer: 4:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11 - 15. Let n = 2.9 - 3.4. Which is the third smallest value? (a) -5 (b) n (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = 6*h + 8*v - 4*v + 45, -3*h + v - 30 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 9*m - 20. Let w be t(6). Let u be 1\/14*w + (-3)\/7. Suppose 4 - 3 = z, g = u*z + 19. What is the smallest common multiple of g and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70603 is divided by 17647.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18564 by -357.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/8 (b) 1\/2 (c) 1 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**9\/42 + x**5\/15 - 2*x**2. Find the third derivative of y(v) wrt v.\nAnswer: 1440*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -746938\/17 + 43467916\/1003. Let q = 1172487\/1003 + j. Let n = q + -569. Which is bigger: n or 0?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-2)\/15 + 14\/105)\/2. Suppose q = -27*k + 23*k + 1344. What are the prime factors of k?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 433501394.\nAnswer: 2, 17, 1409, 9049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -810 + -906?\nAnswer: -1616","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jituxufft. Give prob of sequence xtt.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 18, 205 in increasing order.\nAnswer: 1, 18, 205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 6. Factor -3*v**5 - 16*v**2 + 3*v**z + 16*v**2 + 6*v**3.\nAnswer: -3*v**3*(v - 2)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -2*n**2 + 45*n - 68. Let w be f(21). What is the nearest to -2 in -2\/3, w, -0.05?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = x + 3*w - 5, 0 = 3*x - 5*w - 35. Calculate the greatest common divisor of 3 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes before 9:38 AM?\nAnswer: 11:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1 - 31?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 696 + -690.33. Let o = u - 5.669719. What is o rounded to 5 dps?\nAnswer: 0.00028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 4493\/612 + -254\/51. What is the common denominator of g and 40185\/(-5400) - 1*-7?\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 22035 from -0.16.\nAnswer: -22035.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 211\/565 + 3\/113. Suppose -2 = g + 2*y, 2*y + 0*y - 22 = 5*g. Which is the third biggest value? (a) 0 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -97078?\nAnswer: 9707b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00001190212 to six decimal places.\nAnswer: 0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -30*r**2 + 75*r**2 - 44*r**2.\nAnswer: r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 4 = -3*x, 0 = 5*k - 7*x + 4*x - 20. Let d be ((-54)\/36)\/(6\/(-8)). Suppose 2*i + 0*n = 3*n + 8, k*i + n = d. What is the units digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 40.2561166 - 59.95611571. Let o = 63.6 - 83.3. Let k = o - n. What is k rounded to 7 dps?\nAnswer: -0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144*s - 8*s = -1904 for s.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -3*u + 5. Let o(z) = z - 1. Determine 10*o(l) + 2*r(l).\nAnswer: 4*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 2*a - 5. Suppose 0 = -3*n - 5*s - 4, -5*n = -0*n + 5*s - 10. What is the least common multiple of a and n?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*k**2*w**2 - 2*k**2 - 172*w**2 + 141*w + 279413 wrt w?\nAnswer: -6*k**2*w - 344*w + 141","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h - 2 = -i + 2*h, 6 = -3*h for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.2590792us?\nAnswer: 0.0000002590792","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 14 by -2067024.\nAnswer: -7\/1033512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(76) + -1 + 4 + -4 - (1 + -5*(sqrt(114) + sqrt(114)*1 - sqrt(114))\/sqrt(6))).\nAnswer: -7*sqrt(19) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = 2*r. Let b(a) = -a**2 + 8*a + 3. Let x be b(8). Let l = x - -3. Let h(u) = u. Determine l*h(d) - 4*f(d).\nAnswer: -2*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 + -33 - -123) + 44?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 146467?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 8*o**2*u + 291*o**2*x - o**2 + 279678*o*u**2*x + o*x + 3*x + 1 with respect to u.\nAnswer: 8*o**2 + 559356*o*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r = 9*r - 9. Factor 0*f**2 + f**2 + 0 + 4*f + r + 0.\nAnswer: (f + 1)*(f + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1674 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: Suppose 98 + 42 = 4*a. Let j = a - 21. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -13*v**2 - 8*v**2 + v - v. Let f(b) = 315 + 3*b - 315. Give k(f(a)).\nAnswer: -189*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 7806170*j**2*z**4 + 2*j**2*z**2 - 23687394*j**2 wrt z.\nAnswer: 31224680*j**2*z**3 + 4*j**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 2 (b) -0.2 (c) 81 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -1 - 10*q**3 + 0*q**2 + 0*q**2 - q - q**2. Let w be a(-1). Let m = -479681 + 479683. Solve -5*y = m*t - 10, 4*t + w + 3 = -2*y for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4784 and 16?\nAnswer: 4784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/((-55)\/((-660)\/(-9))).\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -20, -44, -68, -92?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) be the first derivative of y**6\/12 + y**5\/2 + y**4 + 2*y**3\/3 + 48. Suppose g(x) = 0. What is x?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(sqrt(49)*-1)\/sqrt(7).\nAnswer: -36*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5385*d**2*x**2 + x**2 + 348*x wrt d.\nAnswer: -10770*d*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = -33*j - 188. Let d(k) = -2*k. What is l(d(v))?\nAnswer: 66*v - 188","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 3\/508 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 363.79499 to the nearest 10.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n**4 - 20*n**3 - 10*n**2 + 20*n + 15 = 0 for n.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -30 + 30. Solve -20 = -4*z, r = 3*x + 5*z - 10 - 18 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 53460 and 129492.\nAnswer: 5827140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -259? (a) -4 (b) -5 (c) 1.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (sqrt(13) - sqrt(1300)).\nAnswer: -9*sqrt(13) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 0.2 (c) 144 (d) -0.2 (e) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 256073.\nAnswer: 163, 1571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22930, 22882, 22848, 22834, 22846, 22890?\nAnswer: 22972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -88*g = -145*g + 123*g + 2772 for g.\nAnswer: -42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = x - 30. Which is greater: x or 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:47 AM and 3:12 PM?\nAnswer: 325","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 45648 divided by -22.\nAnswer: -22824\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the third derivative of k**5\/60 - 10*k**2. Let i(b) = 5*b**2. What is i(d(h))?\nAnswer: 5*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a centimeter in micrometers?\nAnswer: 2500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138653.\nAnswer: 61, 2273","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 3550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2466, 10272, 23290, 41526, 64986?\n\"Answer: i**3 + 2600*i**2 - i - 134","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12861395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30485369?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 2*o**2. Let n(f) = f**2 + 1. Let j(r) = -4*r**2 - 5. Suppose -2*c - 20 = 3*c. Let d = c - -3. Let t(i) = d*j(i) - 5*n(i). Determine t(x(m)).\nAnswer: -4*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0971 + -0.553.\nAnswer: -0.4559","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -336 - -558. What is the tens digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -260117 divided by -9\nAnswer: 260117\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 1 = -2. Let q be i\/4 + 14\/8. Which is bigger: 0 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -284720 at least -284677?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -115 = 190*o - 148 - 347. Let -25\/4 - 1\/4*v**o + 5\/2*v = 0. Calculate v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 17880 and 48?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sum 11.406 and -0.1.\nAnswer: 11.306","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -557*p + 40049 = 824*p for p.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -344240 - 15?\nAnswer: -344255","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - i + 16 = 0, -121*i + 126*i = -4*r + 59 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 458*x**2 - 1. Let o be h(1). Let g = o + -236. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2\/21 at least 614?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 13. Let j be 2 - (k + 3)\/(-3). Solve j*g = 8 + 4 for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -29982030 by 11505.\nAnswer: -2606","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -89796242 rounded to the nearest ten thousand?\nAnswer: -89800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 6:54 AM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, d: 1, o: 1, t: 1, z: 12}. What is prob of picking 1 z, 1 j, and 1 d?\nAnswer: 3\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - -2)\/(1\/3). Suppose o*m + 12 = 5*m. What is the second derivative of m - a**3 + 2*a - 3*a - 6 wrt a?\nAnswer: -6*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (12\/10)\/((5\/(-20))\/((-55)\/(-968)))\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 157291040 and 60.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2 - -3)*(-4)\/(-2). Let u(d) = -3*d**2 + 3*d - 6*d + 5*d**t. Give u(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - d = -7*n, n = 2*d for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*j**3 - 80*j**3 + 24*j**3 + 8*j**3.\nAnswer: -24*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, 0.887, -0.8 in decreasing order.\nAnswer: 0.887, -0.8, -37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-155)\/3472*-21)\/(3\/6)\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**3 - 26*b**2 + 9*b + 66. Calculate k(-26).\nAnswer: -168","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*d - 307*d**2 - 23 + 309*d**2 - 48*d.\nAnswer: 2*d**2 - 97*d - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-5 - 2) + 2.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 261807 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -8*z - 116. Let d be q(-15). Suppose d*w - 2*p - 34 = 0, -9 = -4*w + 3*p + 26. Solve -g = -w*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**2 + 6*l + 7. Let f be 0\/5 - (-8 + 1). Let p be a(f). Put p, -3, -12 in descending order.\nAnswer: p, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) be the first derivative of 53*u**4\/4 - 4*u**3\/3 + 3*u**2\/2 + 3423*u - 1148. Find the first derivative of f(i) wrt i.\nAnswer: 159*i**2 - 8*i + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44\/5 of a kilometer in meters?\nAnswer: 8800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -689, 1364, 4785, 9574, 15731?\n\"Answer: 684*q**2 + q - 1374","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-3))\/((-2)\/6). Let j = 33 + r. Is j a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(91) - -4*sqrt(91)*4)\/(sqrt(1008)*1 - sqrt(7)).\nAnswer: 17*sqrt(13)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9*36\/(-729))\/((3\/(-108))\/((-744)\/(-192))).\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1225*u = -1228*u. Solve 0 = q + b, 6 = -u*q - 4*q + 2*b for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-334)\/(-12)*2 + (-20)\/(-60). Let q be 2*(-2)\/(-4)*(3 - k). Let x = 1 - q. What are the prime factors of x?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:41 PM and 7:27 PM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 114225 divided by 38075\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 310101276*q**4 - 5*q**2 - 6402*q + 146 wrt q?\nAnswer: 7442430624*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1\/3*q**4 + 4\/3*q**3 + 0 - 1\/3*q**2 - 4\/3*q.\nAnswer: q*(q - 1)*(q + 1)*(q + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + 2*i**2 + 0*i)*(8 - 17 + 3) + (4*i + 3*i - 2*i)*(3*i - i + 0*i).\nAnswer: -2*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yzhuyvcz. What is prob of sequence chy?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*j - j + j)*(2*j - 2*j + 2*j**4 + (-7 + 7 - 47*j**2)*(-2*j**2 + 0*j**2 + 3*j**2)).\nAnswer: -315*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 6:07 AM?\nAnswer: 8:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes before 1:33 AM?\nAnswer: 11:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 25005 by 1.\nAnswer: 25005","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 145 - 144.99999574. Round p to 7 decimal places.\nAnswer: 0.0000043","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence owcj when four letters picked without replacement from jkuwojkuockckj.\nAnswer: 1\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 19*u - 11*u - 19 + 33 in the form a*u + q and give a.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bbbbpbbtpbbbptpp?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -62965.4 times 0.405?\nAnswer: -25500.987","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = -2 - o + 0*o + 1 + 2*o. Let r be m(6). Solve 0*y - 2*s = -r*y + 11, 4*y - 22 = -5*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 175, 0, 87, -1 in descending order.\nAnswer: 175, 87, 25, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uuuuuuubbbbuuu. Give prob of sequence ub.\nAnswer: 20\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 60*m - 9 - 674*m**3 + 10*m**3 - 61*m as x*m**3 + i*m**2 + n*m + q and give x.\nAnswer: -664","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 - 3.9. Let m = -932.4 - -932. Which is the second biggest value? (a) i (b) m (c) 1\/4 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 16, -168, -182841.\nAnswer: -182841, -168, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3\/8, -4\/7, 2\/5, -1.13 in increasing order.\nAnswer: -1.13, -4\/7, -3\/8, 2\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0447 minus 0.01?\nAnswer: -0.0547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 - ((5 - 6) + 0 - 17) - -18 - 1.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 3\/5 of a week?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 193533075.\nAnswer: 3, 5, 47, 18301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v**4 - 16*v**3 - 78*v**2 - 80*v + 175 = 0. What is v?\nAnswer: -7, -5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 4 + -1 + 9 + -6.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -34807 - -34804. Let n(q) = 3*q**3 + 2*q**2 + 8*q. Let c(m) = -m**3 - m**2 - 3*m. What is i*n(r) - 8*c(r)?\nAnswer: -r**3 + 2*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34*0.2.\nAnswer: -6.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*h + 16 = 0, -429*c - 20 = -433*c - 2*h for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -9a35c + 110?\nAnswer: -9a24c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -11*f**5 - 1430*f + 1430*f + (-5*f**2 + 5*f**2 + f**2)*(4*f - 2*f**3 - 4*f) - 2*f**5 + 0*f**5 + 4*f**5.\nAnswer: -11*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 - 2*f**2 + 2*f - 8. Let v be c(-3). Let n be -6*(v + 6) - -9. Solve -3*d + j + n*j - 4 = 0, d = 4*j - 12 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**5\/3 - 8*l**4\/3 + 19*l**3\/3 - 4*l**2.\nAnswer: l**2*(l - 4)*(l - 3)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.95 + -4.76. Let c = v + 0.11. What is c rounded to the nearest ten?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the third derivative of c**6\/45 + 7*c**4\/24 - 7*c**3\/3 + 14*c**2. Let x(g) be the first derivative of t(g). Differentiate x(d) with respect to d.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10446801077 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h - 2*x - 72, 2*h - 7*x = -9*x + 60. Let t = -3 + 5. Suppose -3*b = 2*b + 15, -t*l = -3*b - h. Solve 3 = -3*y - l for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129822499 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*x**4 + 11*x**3 + 12*x**3 + 12*x - 32*x**3.\nAnswer: 3*x*(x - 2)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/2*(-1)\/(-5). Let g = -1.384 - -1.184. What is the closest to 0.2 in g, 2\/13, x?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = d - 17 - 42. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 2*(52\/(-8) + 0). Let y = -6 - f. Suppose 7 + y = h. What is the highest common factor of 98 and h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = 5*r - 11, 2*b + 10 = r + 3*r. Solve -r*d + 3*h = -29, d - 3*d = 3*h - 1 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 times 0.12746?\nAnswer: 0.6373","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 243*d + 4. Let a(n) = 728*n + 12. Calculate -5*a(g) + 16*c(g).\nAnswer: 248*g + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g + 5*c = 6*g - 409, 4*g = -3*c + 369. Suppose g = 6*h - 3*h. What are the prime factors of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, -467, -1465\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13364?\nAnswer: 2, 13, 257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5.87 - -5.97. Which is bigger: v or 60?\nAnswer: 60","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 8, -1, 3, -9, -0.5, 2\/13, -0.1 in increasing order.\nAnswer: -9, -1, -0.5, -0.1, 2\/13, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116 and 174.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((36\/20)\/(63\/105))\/8.\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8610.96 milligrams to micrograms.\nAnswer: 8610960","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 16603 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 8*a - 4. Let w be (a + 9\/(-6))*2. Find the common denominator of -67\/2 and (w\/(-5))\/((-15)\/(-125)).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 214541 (base 8) to base 12\nAnswer: 35829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - -1) + (3 - 1) - (-160 + 167).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = u**2 + 133*u + 886. Give w(-126).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from uxuuuuxuxuuuuuuuux?\nAnswer: 1001\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 931.47 and -294.84.\nAnswer: 636.63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z(o) be the first derivative of -2*o**2 + o + 4882. Let t(g) = 3*g - 2. Give -2*t(p) - 3*z(p).\nAnswer: 6*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 13*p - 35. Let h be w(3). Suppose -f = h*z - 1376, 0 + 2 = z. Is f a multiple of 76?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/8 - 19\/(-12). Let 2\/3*t**2 - w*t**3 + 0 + t**5 - 2\/3*t**4 + 1\/3*t = 0. What is t?\nAnswer: -1, -1\/3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 PM and 2:51 AM?\nAnswer: 265","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50562 (base 13) to base 14.\nAnswer: 3a546","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 53.48115 centuries?\nAnswer: 5348.115","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2 and 132338.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 616 is divided by 108?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 300031047?\nAnswer: 3, 3704087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 + 3 = -m. Suppose m = 5*s - 23. Let v be (s\/4)\/(2\/12). Let g(p) = 6*p**2 + p + 1. Let z(w) = -13*w**2 - 2*w - 2. Calculate v*g(y) + 4*z(y).\nAnswer: 2*y**2 + y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 - 5 = 0. Find o, given that -10*o**l + 2 + 28*o - 5*o**5 + 0 + 8*o**4 + 4*o**3 - 27*o = 0.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eeeeeeepeyyayewaeey. Give prob of picking 3 e and 1 a.\nAnswer: 55\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -11*j**2 - 5*j - 2. Let z(u) = 0*u**2 + 8*u + 2*u - 9*u + u**2. Let t(k) = -r(k) - 5*z(k). Calculate the remainder when t(2) is divided by 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.002496263841 to seven dps.\nAnswer: -0.0024963","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from urrrrgggrgrnr. Give prob of picking 2 g, 1 n, and 1 u.\nAnswer: 6\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**3 + 15*i**2 - 25*i - 4. Let h be a(13). Solve -t - d = -3*t + h, -2*t = d - 7 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26\/156 - (2 + (-9442)\/12). Suppose 955 = 6*z - m. Does 58 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the second derivative of 22*u**4\/3 + 154*u. Let c(i) = -i. What is c(o(a))?\nAnswer: -88*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 53?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -7*t**2 - 33*t + 2. Determine s(-5).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r = 20, 3*q + 0*q - 5*r - 335 = 0. Let a = 485 - q. Does 20 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 8*a + a**3 - 2*a**2 + 13*a to t*a**2 + s*a + d + x*a**3 and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -457, -444, -431?\n\"Answer: 13*a - 470","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*r - 4*s = -0*r - 6, 18 = -3*r + 4*s. Is (r - -25 - 1) + 1 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62073 + 106505 = 144*r - 99424. Is 27 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7111416 divided by -77298?\nAnswer: -92","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 132 + -134. What is the second biggest value in i, -2\/5, 19?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**3 - 1580*z**2 - 174464*z + 59421696.\nAnswer: -2*(z - 138)*(z + 464)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.07 in -2, -4, 1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 20876170589 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -910 = 515606*x - 515592*x for x.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16*(29 + -24 + (-22)\/4).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9\/(-12))\/(1653\/232).\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2990 is divided by 17.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (31 - 27) + (1 - 2) + -7?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1d63 (base 14) in base 12?\nAnswer: -3143","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-9)*x*x*x**(-27\/5)*x*x*x assuming x is positive.\nAnswer: x**(-47\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -10*k**2. Let h(r) = 27*r + 12. Let c(a) = 11*a + 5. Let u(b) = 12*c(b) - 5*h(b). Determine u(i(j)).\nAnswer: 30*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.13 (b) -264\/5 (c) -36\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**2 + 9*p + 7. Let s be y(-9). Let t(l) = -l**3 + 2*l**2 + l + 2. Let k(d) = -4*d**3 + 6*d**2 + 3*d + 7. Let b(z) = s*t(z) - 2*k(z). Factor b(r).\nAnswer: r*(r + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in one sixteenth of a kilogram?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 57 + 10 + -12 + 1 + -2.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 246, 3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - (12 + -4 - -3).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g + 247. Let b(c) = 8*c + 249. Give -4*b(i) + 5*y(i).\nAnswer: -2*i + 239","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 + 25421*o + 6 - 4 - 25516*o to the form y*o + t and give y.\nAnswer: -95","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 924 - 605. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 210 and 30.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (-19 + 17 + (2 - 7)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 25, 63, 101?\n\"Answer: 38*p - 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1513 + 1517. Solve 2*o - 15 = -5*w, -9*o - 20 = w - v*o for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 3 = -8*g - 128 - 65, -3*s = 7*g + 170 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48 * -0.034.\nAnswer: 1.632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -726 divided by 6\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 4231677902 to the nearest integer?\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -184*q + 18 = -186*q, 3*m = 5*q + 89166. What are the prime factors of m?\nAnswer: 61, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1241782 to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -2, -3633 in decreasing order.\nAnswer: 4, 2, -2, -3633","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -47 + 0 - -1 - -2. Let l = -35 - j. Suppose 0*k = k - 24. Calculate the smallest common multiple of k and l.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -199, -184, -143, -64, 65, 256?\n\"Answer: 2*x**3 + x**2 - 2*x - 200","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -933 divided by -311\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11200 - -2212111020120?\nAnswer: 2212111001220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 3. Suppose 2*w + 35 = 3*a, -b*w - w = -2*a + 26. What are the prime factors of 2\/a - 159\/(-33)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zp when two letters picked without replacement from pppppppz.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9 (base 13) to base 9.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -13*i + 66. Give j(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 divided by 65?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = -2*m + 7708, 2*m + 30767 = -4*a - 3*m. Let s be (-22)\/(-6620)*a\/12. Let l = s + -6\/331. What is the common denominator of l and 47\/6?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oo when two letters picked without replacement from {o: 2, u: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 123*d = 118*d - 3*l + 984, -d - l = -198. Is d a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 6 + 4*j**2 + 8.\nAnswer: 4*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17, -33, -71, -137, -237, -377?\nAnswer: -563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**3 - 3*n**2 + n. Let w be i(2). Let h be ((-1)\/2)\/((-2)\/4). Let u = w - h. Which is smaller: -1 or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*p**3 - 51 + 3*p**3 + 77.\nAnswer: p**3 + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -107777, -215547, -323319, -431093, -538869?\nAnswer: -646647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of a**6 - 25*a**5 - 7*a**3 - 59*a**2 + 44*a wrt a?\nAnswer: 120*a**3 - 1500*a**2 - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = i**3 - i + 2. Let o be r(0). Suppose -2*q + 6 = -2. Sort 0, q, o in descending order.\nAnswer: q, o, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -151*w + 11179. Determine c(74).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 0.4 (b) -3 (c) 1 (d) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-4 - -1)\/(6\/30). Let x(f) = -f**2 - 15*f + 20. What is the tens digit of x(l)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (206\/(-4))\/(1 - 12\/8). Suppose 2*q - 3*q + 23 = 2*h, -4*q = -3*h - x. Solve 4*w + q = -w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/10 - (-436)\/660. Let l = 2\/33 - x. What is the closest to 1\/3 in -0.3, l, -5\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*g**4 - 1145*g**3 + 96030*g**2 - 3463020*g + 44561880 = 0. Calculate g.\nAnswer: 31, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3166*j - 2*l = 3099*j + 1809, 0 = -7*j - l + 189 for j.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1e8e34 (base 15) to base 16.\nAnswer: 16dcd4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1053)*2*6.\nAnswer: 108*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zppgzzpgptzhzzptzzhz. What is prob of sequence tzg?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 590, 527, 448, 359, 266, 175, 92?\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) 0.3 (b) 3\/2 (c) 1772\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 6285280 rounded to the nearest 10000?\nAnswer: 6290000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*y**2 + 52320*y + 209200.\nAnswer: 5*(y + 4)*(y + 10460)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) be the third derivative of -j**4\/12 - j**3\/6 + j**2. Let l(s) = -s - 4. Let f be 5 - (0 + 13) - -1*1. Let h be l(f). Determine n(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -726*k - 1895 - 1245 + 962 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 23206 and 47261?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14403*h = -14340*h + 567 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3359?\nAnswer: 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = -109 - 18*t + t**2 + 3*t**2 + 92 - 3*t**2. Let f be k(19). Which is greater: f or 5\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o**2 - 3*o. Let y be u(3). Solve 0 = 2*f - 4*f - 2*b + 6, -f + b - 1 = y for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 226826.\nAnswer: 2, 23, 4931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 84932953 to the nearest integer?\nAnswer: 440","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 0*i + 24\/7*i**3 + 16\/7*i**5 + 0 - 4\/7*i**2 - 36\/7*i**4 = 0.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -21, 80, 241, 456, 719, 1024?\nAnswer: 1365","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -65 + -4198?\nAnswer: -4241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 0, -17, -34, -51?\n\"Answer: -17*w + 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i - 220 - 324 = -f, 2*i = -4*f + 2174. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 >= 109?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 236623?\nAnswer: 236618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3 in -4\/9, 2\/5, -0.07, 4, -0.0362?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3209279 to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + sqrt(7623)\/sqrt(9) + sqrt(7) + -1*sqrt(7)*-5)**2.\nAnswer: 68*sqrt(7) + 2027","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24 = -4*y + 140. Let n = y + -24. Suppose n*f - 12 = -102. Let c(u) = -u. Let v(q) = 21*q. Calculate f*c(o) - v(o).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 123 - -20?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 2*k = -35 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -m - 4*v - 27 + 28, 0 = -v - 1. Let t(o) = -3*o**2 - 5*o - 2. Let f(y) = -3*y**2 - 4*y - 1. Determine m*t(g) - 6*f(g).\nAnswer: 3*g**2 - g - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 7*v**2 - 56*v + 393. Let x be c(7). Let f(w) be the second derivative of -1\/6*w**4 + 0*w**2 - 1\/3*w**3 - 5*w - x. Let f(q) = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -130, -0.1, -3\/7, 17, -1, 0.68, -0.2?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Total of -5 and 56.36.\nAnswer: 51.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 2.28969 times 9\nAnswer: 20.60721","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + 5*h + 0 = 92, 0 = -q + h + 14. Suppose 19*n = q*n + 3. Let w(f) = -f**3 + 2*f**2 + f - 1. Determine w(n).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:27 AM and 3:36 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -6*a**2 - 2*a - 1. Let k be 5\/(-6) - (-5)\/(-30). Calculate x(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 3*x**3 - 16*x**2 - 12*x + 9. Let k(y) = y**3 - 8*y**2 - 6*y + 4. Let w(s) = 5*k(s) - 2*l(s). Give w(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (146*a + 150*a - 309*a)*(2 - 1 + 1) + 11 + 8 - 19 - 2*a.\nAnswer: -28*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 5, e: 4, p: 2, x: 8}. Give prob of sequence et.\nAnswer: 10\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100010001101 - -10110110111?\nAnswer: -1011010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 11 - 7. Suppose 5*q = 5, j - 18 = -z*j - 3*q. Solve 0 = j*s + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of -1 + 0*f + 3\/2*f**2 - 1\/24*f**4 + 0*f**3 + 1\/60*f**5. Let j(u) be the second derivative of v(u). Let j(p) = 0. Calculate p.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*(y*y**(1\/29))\/y*y*y*y\/(y\/(y*y\/y**(2\/19)))*(y\/(y*y**(-2\/15)\/y))**8 assuming y is positive.\nAnswer: y**(115676\/8265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -240909 - 2*x**3 + 240909 - 12*x**2.\nAnswer: -2*x**3 - 12*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00175861 rounded to 5 decimal places?\nAnswer: -0.00176","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: (6 - 92) + 21 + -5 + 3 + -16\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*a - 5*a + 11*a + 16)*(-3*a - a + 2*a + (4*a - 5*a - a)*(-2 + 1 - 1) - 3*a + a + a).\nAnswer: -a**2 + 16*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1*(8\/(-1))\/(-2). Let z = -123 - -127. Suppose -5*f + 10 = 2*s - 5, 24 = z*s + n*f. Solve -2*h - 9 = -2*o - o, 3*h = s*o - 14 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:26 AM and 5:06 AM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q + 4*l = -27, 19*l - 15*l = -q - 9 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (o - 3*o + 8*o)*(-2 + 5 - 2 - 2 - 1 + 1 + (1 - 3 - 1)*(2 + 3 - 6) - 1 + 1 + 2 + 3 - 1 + 0).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -7657.94 + 7658. Which is the fourth biggest value? (a) 3 (b) -1\/5 (c) 0.5 (d) t (e) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4430201 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (57*m - 52*m + 29*m)*(-11 + 11 + 3*m) + m - m - m**2.\nAnswer: 101*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 65.27802kg?\nAnswer: 65278020000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = -38*a + 43*a + 587, 3*p - 4*a = 863. What is the hundreds digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o + 14*x = 40, 0 = -4958*o - 4959*o + 9921*o + 2*x - 20 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = r**3 - 15*r**2 - 29*r - 85. Let w be (-64)\/32*9\/(-2)*(-323)\/(-171). Determine k(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the second derivative of t**6\/15 + t**4\/6 + 5*t**3\/6 - 4023*t**2\/2 - 280*t + 7. Find the first derivative of l(v) wrt v.\nAnswer: 8*v**3 + 4*v + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**0)**50)**38 assuming y is positive.\nAnswer: y**1900","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 101 a factor of 4140293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -198 + 213. Calculate the remainder when (-15)\/(-5) + 58 + -2 is divided by f.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -46a9 + -21?\nAnswer: -470a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -5, -21 in decreasing order.\nAnswer: -5, -9, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**1*i)**(2\/23)\/(i\/i**(-1))**(1\/12)*((i\/i**(-2\/3))\/i*(i\/(i\/i**8))\/i)**(2\/73) assuming i is positive.\nAnswer: i**(1313\/10074)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (3\/2)\/(12\/(-112)). Suppose 10 = 2*g - 22. Suppose -6*t = -g*t - 120. Do u and t have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**2 + 5*z - 5. Let a(g) = 2*g**2 - 9*g + 9. Let t(f) = -4*a(f) - 7*j(f). Let i be t(2). Sort 0, 2, i in decreasing order.\nAnswer: 2, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9 + 11 - 7 - 3*d + d.\nAnswer: -2*d + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -75*f**3 + 63*f**2 + 143*f + 39. Determine y(-2).\nAnswer: 605","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the third derivative of -j**6\/15 + 3*j**5\/20 - 131*j**3\/2 - 3*j**2 - 52*j. What is the derivative of p(b) wrt b?\nAnswer: -24*b**2 + 18*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 30 divide 96487140?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102412400041 + -4?\nAnswer: 102412400032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -41 = -4*k + 5*m - 25, 16 = 4*k - 3*m. Solve -3*t = -k*s - 5, -14*s - 6 = -13*s + 4*t for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2513 - -2515. Which is the second biggest value? (a) -2\/183 (b) m (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**3 - g**2 + 6*g + 1. What are the prime factors of o(3)?\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -0.5, -7, -0.05, 4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-39270)\/650012 + (-18)\/237.\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 355466\/1602 + (0 - (-2)\/18). Let h = u + -222. Sort 2, 3, h, 9 in decreasing order.\nAnswer: 9, 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = -3*y + 2. Suppose 6 - 2 = y*i. Factor -2*s**2 - 4*s + 3*s**i - 3*s + 5*s.\nAnswer: s*(s - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = 6*k - 11. Let n(f) = f - 3*f + f + 2. Let v(m) = -6*d(m) - 33*n(m). Let u(j) = -2*j. Give v(u(g)).\nAnswer: 6*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 2591*d - 534414. Determine u(192).\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 2941216 times 0.1\nAnswer: 294121.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 5*t - 23. Suppose t = 2*l, 32 = -q + 3*q + 4*l. Calculate the lowest common multiple of q and -2*(1 + 0 + -11).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54323250?\nAnswer: 2, 3, 5, 72431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1400)*-5)\/(sqrt(648) - -3*sqrt(648) - sqrt(648))*1)**2.\nAnswer: 4375\/729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 98474029 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = s**2 - 48*s + 361. What is o(38)?\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = u**2 - 1. Let w be z(2). Let j(v) = v**2 + 7*v. Let b(l) = -2*l**2 - 9*l. Let k(s) = -3*b(s) - 4*j(s). List the prime factors of k(w).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -72 + 88. What is the greatest common factor of a and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -13*n**2 - 9*n**2 - 7*n**2 + 24*n**2 + 6*n**2. Let z(v) = 7*v**2 - 2*v + 3. Let x(r) = -r**2. Let b(f) = -3*x(f) - z(f). Calculate -b(t) - 2*h(t).\nAnswer: 2*t**2 - 2*t + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 759 or 100?\nAnswer: 759","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 j when four letters picked without replacement from jjjjjjjjujjjjjjjjjjj.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 832078171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -94, -90, -86?\n\"Answer: 4*f - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2 and -0.3.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 71489.76 rounded to the nearest 10?\nAnswer: 71490","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 321664275, 643328549, 964992823, 1286657097?\nAnswer: 1608321371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -3*o**3 - 4*o**2 + o + 6. Let g be c(-3). Let b = g - 45. Solve -a - b*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one halves of a hour in seconds?\nAnswer: 73800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*c - 27*c = -2*l - 6, 5*c + 20 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**2\/((j**(-4\/5)*j)\/j) assuming j is positive.\nAnswer: j**(14\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.51 - 0.483. Let h = 0.027 - g. Let c = -80 + 80.1. Sort 5, h, 1, c in increasing order.\nAnswer: h, c, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -290 - -2025121.565.\nAnswer: 2024831.565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -37128*m - 2190533. What is r(-59)?\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -15*b - 24. Let l(a) = 5*a + 8. Let z(y) = -2*j(y) - 7*l(y). Let w be z(7). Is -1 + -3 + 4 - w composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -73423 divided by 75?\nAnswer: -73423\/75","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -213*s + 14547. What is u(68)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18 = 4*v - 14 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 14.835 - 861.935. Round g to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, -878, -0.1, 3?\nAnswer: -878","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 4*w**3. Let v be k(1). Suppose 2*l + l = v*q - 4, 5*l - 4*q = -12. Is (-296)\/(-10) - l\/10 a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8043 = m - k, 5*m - 5*k - 40200 = -3*k. Is m a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-81)\/18*(-4)\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 5, r: 14}. Give prob of sequence qqq.\nAnswer: 10\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 263713, 263717, 263711, 263689, 263645?\n\"Answer: -i**3 + i**2 + 8*i + 263705","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 36 = 5*i - 6, -20 = -4*k. Let y be 1\/2*0\/i. Solve y = -5*c + 25 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c - 4*d + 5 = 17, 0 = -5*d - 15. Suppose 0*l = l + 4*m + 7, -m = 2. Let f be (l - 6)\/(-530)*2. Which is smaller: f or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 10.1 + -62.6. Let h = 22 + -67. Let i = z - h. Round i to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 32162.912807 + -32163. Round k to four decimal places.\nAnswer: -0.0872","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c + 3*w - 121, 3*w - 5*w = 2. Suppose -35*i = -c*i - 200. Is 10 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -2 - -3. Let j = 18 - 15. Suppose j = -17*y + 16*y. Sort 3, y, g in decreasing order.\nAnswer: 3, g, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of 373*u**6\/6 + 15*u**2\/2 - u - 939. Find the second derivative of z(r) wrt r.\nAnswer: 7460*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 7\/25 of a kilometer?\nAnswer: 280","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v + 75 + 2*v**2 - 75)*(51 - 51*v**2 - 51).\nAnswer: -102*v**4 - 51*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 24 + -17 + -1 + 32 + -29.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -i**3 - 29*i**2 - 136*i - 4. Give l(-6).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -270154041? (a) 4 (b) 2\/3 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/973?\nAnswer: 2\/973","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -33.\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -3*d**3 - 3*d + 3. Let h(v) be the third derivative of -v**6\/60 - v**4\/12 + v**3\/3 - 4*v**2. Suppose -10*p = -14*p + 12. Calculate p*y(g) - 5*h(g).\nAnswer: g**3 + g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6 - 2. Let g = 1679 - 1635. Calculate the greatest common divisor of f and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32977986 and 186?\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = m**2 - m + 1. Let g(t) = -3*t**2 + 3*t - 4. Determine -g(u) - 5*k(u).\nAnswer: -2*u**2 + 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + d - 48 = 0. Let p = -5733 + 12023. Suppose -p = d*j + 13270. Round j to the nearest one hundred.\nAnswer: -1600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 6 and 352?\nAnswer: 1056","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -540 divided by -43?\nAnswer: 540\/43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from fffjfjttffjjtfftfft.\nAnswer: 5\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide 23744 by -3.\nAnswer: -23744\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 15.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46005159?\nAnswer: 3, 15335053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 - 2*p**2 + 7*p + 1. Let k be a(-4). Suppose 0 = 5*s + 5, 4*w - k*w = -3*s - 6. Factor 12\/5*r**2 + 0*r + 3\/5*r**4 + 0 - w*r**3.\nAnswer: 3*r**2*(r - 4)*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -1\/4, 2\/7, 4, 3\/19, -4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 11, -2, -974, -3, 4, -10, 0 in ascending order.\nAnswer: -974, -10, -3, -2, 0, 4, 11","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: (-98)\/(2\/(-9)*252\/24)\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4441 is divided by 1028?\nAnswer: 329","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 9 = 24. Suppose 2*q - 4*y = 3 - w, -4*q = -2*y - 14. Suppose -9*z = -6*z - q. Solve 1 = -k - z for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1.0014 + -0.0014. Sort -0.4, 82, v.\nAnswer: -0.4, v, 82","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o**3 + 4*o**2 + 3*o + 12. Give k(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(1\/(-347)*1). Suppose -3*n - n + 259 = -3*a, 4*a = 5*n - m. Let y = a + 143. Is 10 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*q - q + 5*q)*(-1 + 3 + 0 + (-1 + 4 - 5)*(3 + 0 - 2) - 2 + 4 + 0 - 2 - 2 + 1).\nAnswer: q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*z**4 + 0*z**4 + 3*z**4 + (0*z**2 - 2*z**3 + 0*z**2)*(z - z + 2*z) + 3*z**4 + z**4 - 3*z**4 + 2*z**3 - 2*z**3 - 12*z**4.\nAnswer: -12*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 2 b when three letters picked without replacement from {w: 1, c: 5, b: 4, m: 1}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141565*a + 141565*a + 449*a**3 + 2055*a**3.\nAnswer: 2504*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16446, 33848, 51248, 68646?\nAnswer: 86042","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**2 - 6*u + 24. Let y(s) = -s**2 - 6*s + 25. Let q(d) = 3*w(d) - 4*y(d). What is the remainder when q(-14) is divided by 29?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the first derivative of 3*u**2\/2 - 5*u - 3. What is the derivative of b(o) wrt o?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 525 and 5222210?\nAnswer: 78333150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 2*z. Let n(g) = -3*g - 3. Let t be n(2). Let y be d(t). Let w = -13 - y. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 - -1 - ((-1 + 0 - 2) + -107 + 54)?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = -l - 12 + 17, -5*t = 5*l - 30 for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is c in -4*c**3 + 884*c**2 - 62300*c + 1362412 = 0?\nAnswer: 43, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 62 + -27. Suppose -y*i = -6*i - 116. Solve i*z - 13 = -17 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*n**2 + 147 + 148 - 296 - 547*n.\nAnswer: 2*n**2 - 547*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 14 and 1647.\nAnswer: 23058","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9802 + 3852 = 506*s + 344*s for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t + 1. Let d(j) = -6*j - 5. Calculate -d(m) - 4*l(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 257*c**2. Let g(v) = -1486921*v**2. What is z(g(l))?\nAnswer: 568210053481937*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 6*i**2 - 6*i - 1. Let y be m(5). Let l(o) be the first derivative of o**2\/2 + 13*o - 86. What is l(y)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 848*c - 22125. Give w(26).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 16\/42*378\/(-56). Which is the third biggest value? (a) f (b) 1\/3 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -476 + 478. Factor -36*a - x + 3*a**3 + 0 - 12*a**2 - 1 + 3.\nAnswer: 3*a*(a - 6)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4*4\/(-32)*((48 - 94) + -72)\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w = -w. Suppose -9*f + 11*f + 2 = w. Is (-10114)\/(-52)*(0 + f - -3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/((6\/(54\/3))\/((-5)\/30)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) be the second derivative of -l**4\/24 + l**3\/6 + 8*l**2 - 11*l. Let i(d) be the first derivative of q(d). Determine i(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 252\/(-216) - (-17)\/(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0 + -6 + 7)*(-1)\/(-24). Let h(x) be the third derivative of 1\/60*x**5 + 1\/24*x**4 + 0*x + s*x**3 + 0 - 2*x**2. Factor h(k).\nAnswer: (2*k + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 5*c + 54 + 7, 0 = 4*c + 20. Suppose t = -t + 24. Let k = t + -3. What is the highest common divisor of s and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 31849266, 31849271, 31849288, 31849323, 31849382?\nAnswer: 31849471","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1\/469 + -267\/469. What is the closest to -0.2 in 3, a, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/2 - (5 - 7). Suppose 0 = 4*a + 20, -5*n - 2*a = -m*a - 25. Solve 3*b = 4*t - 3, -3*b - n = -0*t - 3*t for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - (-3 + (-5 + -2 - -5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1020 and 65280.\nAnswer: 65280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) be the first derivative of -65*q**2 - 134 + 67*q**2 - 66. Let s(o) = o**2 - 2*o. Determine y(s(j)).\nAnswer: 4*j**2 - 8*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15285988 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11122.87ng to grams.\nAnswer: 0.00001112287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 4ee1e0 (base 16) in base 11?\nAnswer: 2a11026","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 698*k - 1388*k + 690*k - 10*k**2 - 161.\nAnswer: -10*k**2 - 161","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -12 + 20. Suppose 3*y - a = 1. Solve 3*v - 13 = b, -2*b = 4*v - y*b - 16 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11957 - -23796. What are the prime factors of k?\nAnswer: 11839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -65 in increasing order.\nAnswer: -65, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -32465303 + 0.048?\nAnswer: -32465302.952","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7879054285 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) = -o**3 - 30*o**2 - 41*o + 519. Calculate a(-28).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 16763?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: ((-217)\/35 - -6)*(-3)\/(-1)\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44270736 divided by 128694.\nAnswer: -344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 6*f + 6. Suppose 5*k + 17 = 3*g, 671*g + 4*k = 676*g - 11. Let z(w) = w**2 + w. Calculate g*c(r) + 6*z(r).\nAnswer: 5*r**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (12\/(-8))\/((-5)\/10) + 18. Suppose -2*f = 5*f + v. Put 19, f, 2, 4 in increasing order.\nAnswer: f, 2, 4, 19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 22*x - 22. What is t(-1)?\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s + s = -225. Let d be -6*((-10)\/(-6) + -2 + 0). Suppose -r + s = d*r. Is 12 a factor of r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2. Let q(n) = -34807*n**2. Give v(q(m)).\nAnswer: -1211527249*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 249857 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 318 - 348.4. Let s = i - -256.4. Let y = s - 225.999901. What is y rounded to five decimal places?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16)\/22 + 45846\/3113\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -6100, -6103, -6106?\n\"Answer: -3*k - 6097","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 44\/6*3\/(-2). Let f = 14 - 44. Let i = p + f. What is i rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 620816 is divided by 88627.\nAnswer: 427","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43 = -5*l - 3*x + 47, 3*l + x = 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(3) + 2)*-5)**2 - (-1 + sqrt(108)).\nAnswer: 94*sqrt(3) + 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2. Let s(y) = 6*y + 1. Let r(u) = -52*u - 1. Let x(a) = 3*r(a) + 3*s(a). Calculate x(q(w)).\nAnswer: 138*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 6*h + 6. Let t(p) = 2*p**2 - 8*p - 6. Let i(z) = -4*q(z) - 3*t(z). Let m be i(2). Solve m*a = k + a - 3, -2*k = 4*a + 24 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that 2*v**2\/13 - 70*v\/13 + 192\/13 = 0.\nAnswer: 3, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -9, 18, -10 in increasing order.\nAnswer: -10, -9, -3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 5758521 - 5758521 + 3*j. Let z(r) = -r**2 + 2*r + 770. What is z(t(l))?\nAnswer: -9*l**2 + 6*l + 770","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -2\/3 (b) -4\/7 (c) -2\/11 (d) -107 (e) -2\/53\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 25 + 9. Calculate the greatest common factor of 17 and x.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7627 and 725?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c**3 + 13*c**2 - 6*c + 9. Let d be m(6). Suppose -2*l + 5*u = -171, 5*l - 3*u - 333 = 47. Calculate the remainder when l is divided by 2*(d\/2)\/9.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 0 - m**3 + 2*m**3 + 8*m + 4*m**2 - 12 + 8*m**2. Let w be j(-9). Suppose 0*h + h - w = 0. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -28 (b) 0.2 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 473, 475, 479, 485, 493?\nAnswer: 503","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u + 2*j = -46, -u + 3*j + 42 = 2*u. Suppose u*z = 11*z - 128. What is the remainder when 254 is divided by z?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*b - 1. Let t = b - 2. Which is bigger: 1\/7 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 299.3 + -300.3. What is the nearest to -2.5 in f, 3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.54? (a) -4 (b) -1 (c) 2\/59 (d) 45\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -266 - 1456 = 558*l - 48 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 432\/(-540) + 29\/30?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 20860 - -3?\nAnswer: 20863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 610*j**2 + 4 - 602*j**2.\nAnswer: 8*j**2 + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 18.24? (a) 0 (b) 0.4 (c) -4 (d) 0.08\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + f + 40 - 7 = 0, -3*t + 39 = -3*f. Solve w + 5*b = 13, -w - w - 2*b + t = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 850.6178 micrometers?\nAnswer: 0.8506178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -16 (b) -2\/3 (c) 0.15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 678 is divided by 135.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -7, -11, -27, -61, -119, -207?\n\"Answer: -i**3 + 3*i - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3238 - -12917\/4. Let x = -1518\/101 + 203911\/13332. Calculate the common denominator of w and x.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s*s**(-28)*s)**(-15) assuming s is positive.\nAnswer: s**390","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-38)\/(-9))\/((-2163)\/(-126) - 17)*51. Sort m, 5, -4, 2 in increasing order.\nAnswer: -4, 2, 5, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 880?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3109*o + 171 - 171.\nAnswer: -3109*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + 2 + 3)*(-4*c - 2*c + 4*c)*(3*c**2 - c**2 - 6*c**2) to the form w + n*c**3 + r*c**2 + x*c and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 26225*f*w + 127*w with respect to f.\nAnswer: 26225*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 395 - -4.6\nAnswer: 399.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9.214651 or 86?\nAnswer: 9.214651","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3*-2 - (-1 + 2). Let s(z) = z**3 + 6*z**2 - 9*z - 4. Let h be s(u). Let n = h + 2. What is the highest common divisor of 48 and n?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2155119.9 months to centuries.\nAnswer: 1795.93325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in thirty-four fifths of a litre?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 81*g = 2534720 + 1125589. What are the prime factors of g?\nAnswer: 3, 5021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 113 - 159. Let j = 3 - f. Find the second derivative of -5 - j*y**2 + 5 + 71*y**2 - 35*y wrt y.\nAnswer: 44","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3560, -3555, -3544, -3521, -3480, -3415, -3320?\nAnswer: -3189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8187 - -8191. Let o(v) = 3*v**2 - 5*v. Let p(n) = 4*n**2 - 4*n. Give h*o(y) - 5*p(y).\nAnswer: -8*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 151\/354 and -89\/8.\nAnswer: 1416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/3 (b) 37 (c) 4\/3 (d) 0.2 (e) 4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 48558 is divided by 48439?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8516 + -8516. Which is bigger: -437\/5 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = -f**3 + 12*f**2 - 5*f - 54. Suppose -v + 2 + 21 = -4*p, -2*p = 6. Let s be d(v). Solve -1 = 2*k + 5, 3*y + s = -3*k for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 278*l + 90 = 284*l. Solve -4*q = -1 - l for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 999473.\nAnswer: 257, 3889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3bab (base 12) to base 8.\nAnswer: 15363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 583.86 - -13.14. Let k = 601 - f. Sort 0.03, -7, k in decreasing order.\nAnswer: k, 0.03, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 514 = -2*t - 5*u + 5, 0 = -5*t + 3*u - 1288. Let o = 386 + t. Does 19 divide o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i**2 + 1064350*i\/3 - 354784\/3 = 0 for i.\nAnswer: -177392, 1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 49*z**5 + 609*z**4 - 360*z**3 + 52*z**2.\nAnswer: z**2*(z + 13)*(7*z - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = 2*n - 12 + 1, -5*n - 4*m = 5. Suppose -4*t = k + 7, n*k = 7*k + 3*t - 24. What is the remainder when 16 is divided by k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -208 = -l + 9*l - 856. Solve -l*i = -75*i + 36 for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 67932 a multiple of 111?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*o**3 - 134525*o**2 - 887729640*o + 231374415420 = 0. What is o?\nAnswer: -13578, 251","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30*345\/600)\/(6\/(-8)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 76.84562l in millilitres?\nAnswer: 76845.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 455?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4\/5, -3, -5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 28, 4, 1055205 in ascending order.\nAnswer: 4, 5, 28, 1055205","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 1 = -5. Let v be (-1 - l)\/(1\/5). Suppose 2 + k**5 - 6*k**4 - 6*k - k**2 + v*k**2 + 4*k**3 + k**5 = 0. What is k?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21202010110 (base 3) to base 4.\nAnswer: 211032012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:05 AM and 8:16 AM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9446 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/45)\/((-9)\/(-75)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3326830.\nAnswer: 2, 5, 13, 157, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 112 = -14*q. Let g = q - -46. Calculate the remainder when g is divided by 12.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 22 (b) -257 (c) -0.3 (d) -3 (e) 174 (f) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (260\/(-273))\/(-2)*3.\nAnswer: 10\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54910, -110259, -165608?\n\"Answer: -55349*p + 439","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 156749726 to the power of 1\/2, to the nearest integer?\nAnswer: 12520","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2604, -5542, -8486, -11442, -14416, -17414?\n\"Answer: -n**3 + 3*n**2 - 2940*n + 334","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10763?\nAnswer: 47, 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -6*k + 200 + 184. Suppose 20*b + k = -16. Let o(g) = -g**3 - 4*g**2 - 2*g - 6. Give o(b).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -75\/476 and 70\/507093.\nAnswer: 14198604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = d + 6. What is o(-6)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 5*r = -0*r + 235, k - 62 = 2*r. What is the tens digit of (-216)\/k*5\/(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*n = -14*n + 585. What is the least common multiple of 17 and (624\/n)\/((-4)\/18*-3)?\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*z**3 + 35*z**2 - 2 - 35*z**2 to the form k*z**3 + a*z**2 + h + l*z and give k.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1304\/3 + -434. What is the third smallest value in s, 4\/7, -0.4, 0.05?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.028771 litres in millilitres?\nAnswer: 3028.771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(-3 + -2*(((sqrt(275) - -1*sqrt(275) - sqrt(275))*4)**2 + 5 + (sqrt(275) + (sqrt(275) - (-2 + sqrt(275))))**2))*5.\nAnswer: -1686780 - 7200*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 3732.74 - 3770. Let p = -0.32 - c. Let d = 37 - p. Put 0.5, d, 1 in descending order.\nAnswer: 1, 0.5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"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: Put -0.02, -2\/11, -1\/4, -1.5, -4 in decreasing order.\nAnswer: -0.02, -2\/11, -1\/4, -1.5, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1 (b) 7798742 (c) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**3 + 3*c**2 - 4*c. Let u be y(-4). Suppose u = w - 4*w + 78. Let p be 4\/w + (-30)\/26. What is the closest to p in -3, 0, 2\/5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 1344?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Total of 6463199173341 and -0.107.\nAnswer: 6463199173340.893","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57219 = 69*s - 149436. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 595?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 239.3 times 0.5?\nAnswer: 119.65","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 13956 and 756624540.\nAnswer: 13956","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) be the third derivative of -f**5\/60 - f**4\/12 + f**3\/2 - 12*f**2 + 2*f. Determine u(-3).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_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: Simplify (-6*(sqrt(98) - -6*(0 + sqrt(98)) - ((sqrt(98) - 5*(sqrt(98) + 1)) + sqrt(98)))*-4*2)**2.\nAnswer: 1612800*sqrt(2) + 22636800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -142*j + 25 = -147*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of -3*k**4\/2 - k**3 - k**2\/2 - 2*k + 5. Let n be x(-2). Let w be (-1)\/5 + n\/405. Is w > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2 + 4)*(-3*k + 0*k + 2*k)*(-6*k**3 - 14*k**3 + 6*k**3).\nAnswer: -14*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 542174838?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 4*o - o**3 - 4*o**3 + 3 + 6*o**3 + 5*o**2. Let k be n(-4). Solve 0 = -k*p + 2*p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*d = -1636*m + 1633*m - 9, 5*m + 4*d = -0 - 15 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 q when three letters picked without replacement from jjjjqqbfb?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5891 = 2*h + j, 3*j + 13819 = 4*h + 2062. What are the prime factors of h?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = 2*d - 2. Let x be y(2). Suppose 0 = x*s - 3*w - 6, -5*s - 4*w + 24 = -14. Solve -a + s = 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -194869, -389550, -584229, -778906, -973581, -1168254, -1362925?\n\"Answer: u**2 - 194684*u - 186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 14c + 39?\nAnswer: 187","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (0 - (0 - 47)) + 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -4*a**3 + 3*a**2 - 12*a - 629. Let g(c) = -2*c**3 + 2*c**2 - 8*c - 631. Give 3*g(x) - 2*n(x).\nAnswer: 2*x**3 - 635","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 0*h**2 + h**2 + 0*h**2. Suppose -4*q + 4 = -4. Let p(c) = q*c - 3 + 3. Give p(g(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - 5*p + 6434 = 0, b - 839 - 1309 = -p. What are the prime factors of b?\nAnswer: 2153","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1348 - 14868\/11. Find the common denominator of s and ((-153)\/15)\/(24\/15).\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(800) - (sqrt(2450) + -2*sqrt(2450) + sqrt(2450) + sqrt(2450)))\/((sqrt(160) + 2*sqrt(160) + sqrt(160))*3))**2 + 5.\nAnswer: 1285\/256","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*l - l + l)*(l + 4*l - 2*l) - l**2 + 4*l**2 - 5*l + 0*l to the form n*l**2 + j + p*l and give n.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 5130 and 1620.\nAnswer: 30780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -24 - -23.67. Let s = 2.33 + z. What is the closest to -4\/7 in s, -1, 0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 10:09 PM?\nAnswer: 12:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 3, u: 3, m: 6, w: 5}. What is prob of picking 1 j, 1 q, and 1 w?\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -758530, 5, 4.\nAnswer: -758530, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 64\/(-114) + (-42)\/(-63)\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -731436 * -3.1\nAnswer: 2267451.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 516 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/1000 and 79\/2040.\nAnswer: 51000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.1 + 4.1. Let u = r + -5. Let f = u + 0.9999. Round f to 3 decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.593379 litres in millilitres?\nAnswer: 4593.379","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -4*w**3 + 40*w**2 = 0.\nAnswer: 0, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/11))\/(g*g**2*g))\/(g\/g**2)**(-19))\/(((g\/g**(2\/7)*g)\/g)**(2\/5)\/(g*g\/(g\/g**(-5\/3))*(g\/g**2)\/g)) assuming g is positive.\nAnswer: g**(-5722\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 1242.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 207204?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.02 and -55608.\nAnswer: -1112.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 2*x**2 + 3*x + 5. Let j be y(-2). Solve j*t = 9*t + 4 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1204985?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*y + 9 = 15*y + 632 for y.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q + 5*z - 6 = 0, -4*q + 11 = 4*z - 1 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**2\/7 + 9146*g\/7 + 21519867\/7.\nAnswer: -(g - 11087)*(g + 1941)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -78*r + 3060 = 4*k - 74*r, 4*k - 3*r - 3025 = 0. Calculate the lowest common multiple of k and 48.\nAnswer: 4560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*f = -3*d - 4, 2*d = 4*f - 0*d - 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -23. Suppose -25 = -5*o - 0. Factor 4*v + 5*v**4 - v**o - 4*v + v - 3*v**4 - c*v**2.\nAnswer: -v*(v - 1)**3*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 4\/((-1)\/((-45)\/21820)). Are 1 and c equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4049 to the power of 1\/2, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 + 13*p - 4. Let y be (39\/12)\/((-1)\/(-4)). Suppose -6*t - 3*r + y = -4*t, 0 = 5*t - r - 24. Does 10 divide b(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(117)*2*-1)\/(sqrt(324)*2 + sqrt(324)).\nAnswer: -sqrt(13)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32697*x - 65401*x - 245*x**3 + 32704*x + 247*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is -122222 (base 4) in base 15?\nAnswer: -78b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > 1\/2516?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 17776338947 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/(-4) + -2)*-2. Suppose 3*w + 4*d - 33 = 0, -5*d - 59 = -5*w + l. Let k be ((-8)\/(-10))\/(6\/w). Solve k*m = -m - 12 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 102996 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 941 is divided by 73?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 57*p + 2536. List the prime factors of n(-12).\nAnswer: 2, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**3 - 19*x**2 + 10*x + 25. Suppose t = 0, -4*t = -3*j - 7*t + 9. Let s be (2 - j)\/(3 - 348\/114). What are the prime factors of l(s)?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95730 is divided by 26?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 74\/5 of a millennium in years?\nAnswer: 14800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 88*i**2 - 816*i - 78567. What is x(-87)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/17*i**2 - 16\/17*i - 32\/17.\nAnswer: -2*(i + 4)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 133\/2370 and 16\/2375.\nAnswer: 1125750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2 + -1. Let o be (2\/(-4))\/(1\/(-10)). Suppose 0 = -o*y - 0*d - d + 18, 3*y - 2*d - 16 = 0. What is the third smallest value in 0.3, y, j?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -485*y + 498*y - 2574. Calculate the greatest common factor of 288 and y.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11604819 to the power of 1\/3, to the nearest integer?\nAnswer: 226","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(15)\/sqrt(3) + -3 + sqrt(5) - (0 + sqrt(5) + 4 - sqrt(5)).\nAnswer: -7 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/2? (a) 5 (b) -558\/19 (c) 94\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12.3? (a) -1 (b) 0.9 (c) -5 (d) -18 (e) 6\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 65. Suppose u*c - 762 = 3*o, 2*c - 2*o - 250 = c. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = -5*z - 5*u + 10, -5*u = 0. Let o(l) = -3*l**z + l**2 + l**2. Let d(b) be the second derivative of b**4\/6 - 2*b. Determine d(o(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 not equal to 26\/130333?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -0.79, -0.2, 1\/3?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(sqrt(847) - sqrt(847)*-1)*-3)**2 + 5.\nAnswer: 1188*sqrt(7) + 274442","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*m**3 - 1880985*m**2 + 176909930880*m - 884502630400.\nAnswer: 5*(m - 188096)**2*(m - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qq when two letters picked without replacement from {x: 1, q: 7}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 373 minutes before 2:04 PM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/n**20)**(18\/13)\/(n\/n**(-14)*n*n**16) assuming n is positive.\nAnswer: n**(-758\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (1\/2*0)\/1. Suppose -2*t = -h*t - 4. Which is the closest to -2\/15? (a) -4 (b) t (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 8:02 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -20, -43, 1, -1, 30, 13 in increasing order.\nAnswer: -43, -20, -1, 0.2, 1, 13, 30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t**(-4\/7)\/t)\/t)\/t)**18 assuming t is positive.\nAnswer: t**(-450\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + 5 + 8 - (8 + -5 + (11 - 5)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -322*r = -317*r - 5*t - 50, 0 = 4*t + 8. Let d(l) = -l**3 + 9*l**2 - 8*l. Determine d(r).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when -14*80\/140 - 7*-320 is divided by 28.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 67, 159, 343, 649?\nAnswer: 1107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -7*j + 2. Let y be (-14)\/(-70) - 14\/(-5). Suppose -5*l = 3*x + 11 - 43, 0 = 3*x - y*l. Calculate the lowest common multiple of x and d(-2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/291 + (-14656000)\/222130.\nAnswer: -66","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1045 + 1044. What is the closest to -3 in 0.5, 19\/5, i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 1*(-3 + (-66)\/(-21)). Which is the nearest to 2? (a) 0 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 118a (base 13) to base 2\nAnswer: 100110110000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -4*z**6 + 6291*z**4 + 3*z**3 - 8875619*z**2 wrt z?\nAnswer: -480*z**3 + 150984*z + 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 3618, 7633, 12100, 17019, 22390, 28213?\n\"Answer: 226*u**2 + 3337*u + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11984 and 488.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1\/3*v**3 - 4 + 0*v**2 + 13\/3*v = 0. Calculate v.\nAnswer: -4, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*f)*(-16058*f + 609 - 16114*f + 32171*f).\nAnswer: 2*f**2 - 1218*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11925*i + 10950 = -12655*i for i.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -600, -5\/4, -2, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 6540887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.3 + 0. Let s = -2.5997 + 2.5997. Which is the closest to 1? (a) s (b) h (c) -2\/25\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -90*i**2 - i**3 + 90*i**2.\nAnswer: -i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2bf - -3?\nAnswer: -2bc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*b + w = -4, 87*w + 4 = b + 92*w for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 11.94 rounded to the nearest 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 8\/16 + 46\/4. Let s = p + -23. Let r be (s - -1)*1\/2. Let x(t) = t**3 + 5*t**2 + t - 1. Calculate x(r).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2207 - 1376. Is 46 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27343381?\nAnswer: 13, 89, 23633","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g + 1. Let v(j) = -2*j - 6. Let x be (-3)\/45*2 - 58\/15. Let q be v(x). Let p be k(q). Solve 0*s = s, 3 = -p*n + s for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -g**2 - 5*g + 12. Let f be z(-8). Let k = f + 22. What is the highest common divisor of 80 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 66.11357 years in millennia?\nAnswer: 0.06611357","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = h + 5, -3*x = -650*h + 322*h + 321*h - 11 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p**3 - 18*p**2 + 19*p - 24. Calculate the remainder when y(17) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -790396 or -790395?\nAnswer: -790395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 751 is divided by 94?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 30622?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 + 3*f + 2)*(2 + 3 - 7 + 2*f**2) + (-85*f**2 + 25*f**2 + 27*f**2)*(-3*f + 4 - 4) to the form s*f + k + v*f**2 + j*f**3 and give s.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4808517*u**2 + 3278275 wrt u?\nAnswer: -9617034*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence liv when three letters picked without replacement from {l: 5, v: 6, s: 1, i: 3, z: 3}.\nAnswer: 5\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((144\/7080)\/((-7)\/5*66\/154))\/4.\nAnswer: -1\/118","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -9*j**3 + 7*j**2 - 160*j + 477. Determine z(3).\nAnswer: -183","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kmrrrwmjjmy. What is prob of picking 1 j and 1 r?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 237, 719, 1457, 2469, 3773, 5387, 7329?\nAnswer: 9617","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 96?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 4*d + 1. Let h(z) = -z**2 + 7*z + 10. Let x be (-2)\/5*(6 - 26). Let s be h(x). Let w(r) = 0 + 0 + 3*r. Determine s*j(a) - 3*w(a).\nAnswer: -a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 383 divided by 67346.\nAnswer: 383\/67346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 142 minutes before 3:29 PM?\nAnswer: 1:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1206, 1247, 1288, 1329, 1370, 1411?\nAnswer: 1452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5961570, -11923145, -17884720?\nAnswer: -23846295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 28, 38, 50, 64, 80?\n\"Answer: h**2 + 7*h + 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43 = 3*m - w, -4*m + 2*w + 13 + 45 = 0. Suppose -5*n + 116 = -374. What is the greatest common factor of n and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -318 divided by 24\nAnswer: -53\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4 = w, -6*c - 3*w = -2*c + 51. Let h be (-1 + -1 - c) + -2. What is the derivative of 0*p**2 + p**2 + 3 + 5 - h wrt p?\nAnswer: 2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -479 - -504. Is 1\/5 + 2\/l*779585 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.9152804 litres?\nAnswer: 915.2804","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 2*l**2 - 5*l - 4. Let c(h) = -243*h**2 + 6*h + 2. Give -c(v) - z(v).\nAnswer: 241*v**2 - v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 17*d + 16. Let g = -67 - -76. Let y be u(g). What is the greatest common factor of 11 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 13597688 to the nearest integer?\nAnswer: 3688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11265\/4 + 2817. Which is the fourth biggest value? (a) 2 (b) 1\/3 (c) 0.4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 0*z - 2*p = 0, 5 = -2*z - 3*p. Solve -z*c + 3 = 11 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 496\/(-6) + 3\/(-9). Let i = q - -180. Is i a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, l: 1, g: 10, v: 4}. Give prob of sequence vkl.\nAnswer: 1\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 60*y**2 - 106*y - 28 = 0.\nAnswer: -7\/30, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = -n**3 + 75*n**2 - 1183*n + 4540. What is j(55)?\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.7, -476, 1\/4, -2, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 3348 and 465?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 26 = 4. Is 15 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1720 divided by -137?\nAnswer: 1720\/137","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 41 a factor of (-57)\/152 - (-8774)\/16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -78*z - 130*z = 184*z + 7056 for z.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 4, -172, -2 in descending order.\nAnswer: 4, 1, -2, -172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**(-9\/7))\/r)\/(r\/(r*r*r**(-2\/3)))*r**11\/(r\/r**12))**(-1\/3) assuming r is positive.\nAnswer: r**(-442\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 30451?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 83 - 83.82. Let m = o + 0.52. Let c = -1.6 + 1.9. Sort -15, c, m.\nAnswer: -15, m, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*t + 4*t**3 - 2*t)*(2 - 2 - t**2) - 2*t**5 + 2*t**5 - 2*t**5.\nAnswer: -6*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -443774*f. Let a(g) = 5*g + 3. What is a(i(t))?\nAnswer: -2218870*t + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -e + -18d?\nAnswer: -19b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**5\/60 + m**4\/12 + 4*m**3\/3 - 13*m**2. Let h be a(7). Is 3 + h + 0\/2 a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-20))\/(1304\/169520).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {i: 6, c: 8, t: 3, k: 1}. What is prob of sequence cik?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 - -18. Suppose -2*t - d + 333 - 1691 = 0, -l*d = 2*t + 1350. List the prime factors of t\/(-6) - 0 - (-18)\/12.\nAnswer: 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2 - -11. Let d be (c - 2) + -1 - -2. Let s be (-3)\/(105\/(-48) + 2). What is the greatest common divisor of s and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 92541426 - -4?\nAnswer: 92541430","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -354*a - 677 + 1938 = -66*a - 179 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 398 = -208. What is the remainder when i is divided by 26?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = x + 11. What is x rounded to the nearest 10?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -7598 + 11867. Is d composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -295*v - 1745. Determine h(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*q**2*t**2 + 2*q**2 + 3*q*t + 48*t**3 - 2*t**2 - 1401 wrt t?\nAnswer: 6*q**2 + 288*t - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -253\/9 or 2\/9?\nAnswer: -253\/9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 4*n**2 - 5*n + 3. Suppose -6*t + 2*t - 3*y - 94 = 0, y - 86 = 4*t. Let o = t - -18. Let s be q(o). What is the greatest common divisor of s and 29?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -54*y**2 + 3*y - 5. Let c be v(-5). Find the common denominator of -39\/8 and (0 - 6\/21) + c\/56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n + 15 = 2*u + 60, 4*u - 1 = -3*n. Let w(z) = -8*z - 1. Let x(h) = -9*h - 1. Let m(t) = n*w(t) - 6*x(t). Calculate m(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o + 3*b = -16, 0 = 5*o - 2*b + 5 - 8 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 74 + -69. Is 4 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -4*o + 7. Calculate the highest common factor of 8 and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (21*p - 30*p**3 + 12*p**2 + 28*p**3 - 4 - 23*p)*(-1 - 6 + 3).\nAnswer: 8*p**3 - 48*p**2 + 8*p + 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b**2 + b - 1. Let k be d(1). Suppose 6*i + 14 = k*i. Let c be (1 - 2)\/(i + 12). What is the smallest value in c, -2\/5, 3, 4\/7?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 21*l**2 - 2*l. Let h be 8\/((-32)\/12) + (-4)\/(-2). Let k(b) = b. Let q(w) = h*a(w) - 2*k(w). Find the third derivative of q(f) wrt f.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 206777748?\nAnswer: 2, 3, 881, 19559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00035058 rounded to five decimal places?\nAnswer: 0.00035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 343481.5ml?\nAnswer: 343.4815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = 1. Let w(p) be the first derivative of 2*p**3\/3 + p**2 + 9*p + 36. Calculate -5*t(a) + w(a).\nAnswer: 2*a**2 + 2*a + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66562 is divided by 16624?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = -q - 9. Let f be s(-9). Suppose f = -4*p + 6 + 2. Let r be 0*(3 - 2 - p). Round r to 1 dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1337 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 4*x**2 + 28*x + 29. Let h(p) = 2*p**2 + 15*p + 14. Give 7*h(r) - 4*n(r).\nAnswer: -2*r**2 - 7*r - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -a + 3. Suppose 0 = 4*x - 9*x + 25. Let r(j) be the third derivative of -j**4\/12 + 2*j**3\/3 - 884*j**2. What is x*r(q) - 8*v(q)?\nAnswer: -2*q - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -5 + 8. Let z(n) = 25*n + 4 - 46*n + 6*n**2 + 17*n. Is z(w) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3140 and 6437?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 38*t - 1692 = 29*t. What are the prime factors of t?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/70 and 77\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((t*t\/((t\/(t\/t**22))\/t)*t**(-17))**(-40\/7))**(-19))**(-1\/13) assuming t is positive.\nAnswer: t**(27360\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17832?\nAnswer: 2, 3, 743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = 8*a - 624. Suppose -2*c + a = 12. Suppose 0 = -5*d + 13 + c. What is the remainder when d is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = -4*m + 19, 5*g - 4*m = 11 - 0. Factor -4\/3*q**g + 5\/6*q + 1\/3*q**2 + 1\/6.\nAnswer: -(q - 1)*(2*q + 1)*(4*q + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = s**2 - s + 3. Let p be y(0). Suppose -2*w - p = -7. Let v(q) = 6*q + 1. Is v(w) a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1 + 0)\/(10\/1) + 915767\/90670\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of i**7\/210 + i**6\/90 - i**5\/6 + i**4\/2 + 20*i**3\/3 - 39. Let n(b) be the third derivative of j(b). Factor n(z).\nAnswer: 4*(z - 1)**2*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14584 divided by 245?\nAnswer: -14584\/245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6886 - 1160. Is x a multiple of 127?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1060721*q - 1321860 wrt q.\nAnswer: 1060721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 419919437?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.0440085 and -2.1.\nAnswer: -0.09241785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7*t = -3*t + 172, -3*b + 4*t = -133. Suppose s - 268 = -5*o - 69, s - b = -o. What is the lowest common multiple of o and 35?\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*z + 45*z - 720 = 0. Solve 15*m + 48 = -z*m for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -2\/3 (b) 3483 (c) 5 (d) 1 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 133875277 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 220*w**2 + 201*w - 4440. Give c(-221).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 17*x + 855. Calculate y(-36).\nAnswer: 243","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -3*i**2. Let g(q) be the first derivative of 3*q**3 + 122. Suppose 0 = 3*u - 36 + 3. Calculate u*v(r) + 4*g(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*r**3 + 855621*r + 203373.\nAnswer: -12*r**2 + 855621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 57030?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 60 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.928 - 0.072. Which is the closest to k? (a) 2 (b) 6 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(0 + sqrt(147))**2*6.\nAnswer: -4410","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g + 4*b - 78 = 0, 1023 = -15*b + 1278 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(425) - (-4 + sqrt(425))) + 2 + 4 - (2*sqrt(204))\/(sqrt(3) + sqrt(3) + -5*(sqrt(3) - sqrt(6)\/sqrt(2))))**2.\nAnswer: -40*sqrt(17) + 168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/5, 1, 4, 5, 0 in descending order.\nAnswer: 5, 4, 1, 0, -6\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 3*o - 24 = -0*o, -2*h + 4*o - 10 = 0. Suppose -h*n + 19 = -17. List the prime factors of n.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r**5\/2 - 13193*r**4\/2 + 556365*r**3\/2 + 6552625*r**2\/2 + 8602750*r = 0. Calculate r.\nAnswer: -13235, -5, 0, 52","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 42\/(-12)*(-12)\/7. Let m be (-88)\/(-10)*15\/r. Suppose 0 = -2*z - 4*f + m, -3*z + 21 = 5*f - 9. Calculate the greatest common divisor of z and 40.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -15\/5162 and 25\/3843457.\nAnswer: 684135346","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 286*m - 285*m + 4 = -2*p, p = 4*m - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = a + 7. Let m be c(-6). What is the greatest common factor of m and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -18*h + 718006 + 1007636. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 504\/108*(-9)\/(-6).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 29\/55 and -57\/5?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 134546261 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d + 10*d = 3*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vqvqvv. Give prob of sequence qvq.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2821 and 273.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21253 is divided by 678.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 times -1534.2?\nAnswer: 10739.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 97\/36 and 93\/1960.\nAnswer: 17640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 4 = -4. Let s be -3*4\/6 - n. Suppose -3*r + s = -2*r. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 + 16*v**2 - 14*v - 4. Let f be m(15). Let q(k) = f*k**2 + 4*k**2 + 7 - 16*k**2 - 3*k. Let l be q(-5). Let b(x) = -x**2 + 3. What is b(l)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - k = -1, 5*j - 3*k + 8*k + 5 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 280*i + 65. Let x(g) = 23*g + 6. Determine 4*c(u) - 45*x(u).\nAnswer: 85*u - 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -9.26 to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6\/27205 or -7.99?\nAnswer: -6\/27205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 34 in 1, -1, -2, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 1686*w**3\/7 + 97760*w**2\/7 - 232*w = 0.\nAnswer: -58, 0, 14\/843","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11638625, 11638630, 11638639, 11638652?\nAnswer: 11638669","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 19. Suppose -43*g + 41*g + 12 = 0. Calculate the remainder when r is divided by g.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17627067?\nAnswer: 3, 1958563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -801, -810, -819, -828, -837?\nAnswer: -846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**3 - h**2 - 1. Let y be ((-4)\/(-3) - 2)*-3. Suppose -8*b + 10*b + y = 0. Give v(b).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 78*1*(-4)\/84*-7. Calculate the greatest common factor of k and 50.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 827730?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 289 - 246. Let o(m) = -12*m**3 - 1. Calculate the remainder when h is divided by o(-1).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2587)\/(-4) + (-10)\/(-40) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3523 (base 6) to base 11\nAnswer: -6a7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 125 and 25.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = -h**2 + 6*h - 6. Let t be v(4). Let p = 3 + t. What are the prime factors of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -24*u. Let v(c) be the first derivative of -c**5\/30 + 15*c**2\/2 - 26. Let d(m) be the second derivative of v(m). Calculate j(d(g)).\nAnswer: 48*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-t + 0*t - 1 + 5)*(t + 3*t - 2*t + (3 - 1 + 3)*(t - t - 2*t)).\nAnswer: 8*t**2 - 32*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4908 + -3528850\/719. What is the third biggest value in 0.5, 2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 52 - 48. Suppose -4*g + 0*x - 156 = 4*x, 2*g + y*x = -82. Let n = 34 - g. What is the units digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3 and 1477793?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 38, -7, 5, -332, 1\/4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 786209 is divided by 30?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 14*m**3 + 549*m**2 + 77*m - 1229. Determine c(-39).\nAnswer: 331","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11236 = -15*z - 1006. Suppose -20*c = 2*c - z. What are the prime factors of c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 825791 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5203? (a) -1\/7 (b) 2 (c) 3 (d) -1 (e) 514\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*n - 4190 - 4524 + 8714.\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j + 12. Let d be b(7). Suppose 2*a + 12 = 3*a + 2*h, d*h - 35 = -5*a. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -5.1. Let n = 11 - 6. Which is the second smallest value? (a) o (b) n (c) 1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 76330?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) be the first derivative of 4*x**3 + 14 + 4 + 0*x**3 + 4*x**3 - 5*x**3. Let w(t) = -3*t + 3*t - t. Calculate w(s(c)).\nAnswer: -9*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + -100100000111010001?\nAnswer: -100100000111001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**2*p**3 + 2*h**2*p + h + 145*p**3 wrt h.\nAnswer: -2*h*p**3 + 4*h*p + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*l**3 + 4*l - 4*l)*(-5*l**2 + 2*l**2 + 0*l**2).\nAnswer: 30*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -195*w**2 - 185*w**2 + 383*w**2. Let k(r) = 3*r + r - 2*r. Determine f(k(o)).\nAnswer: 12*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*n + 26 = 0, h - 4 = -3*h + n. Let p = h - 3. Let q be (0 - -1)*15\/(-9). Which is bigger: q or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2 + 3*c. Let z be 78\/(-9) + 4\/6. Let t = 1 + z. Let l(w) = -w**2 + 3*w. What is t*l(x) + 6*u(x)?\nAnswer: x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 15, v: 5}. Give prob of picking 2 v.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 16999511 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 2. Let n be h(2). Let q = 0 - -4. Is -1*(n - 140\/q) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = t**3 + 7*t**2 - 8*t - 1. Let v(p) = p - 8. Let d be v(0). Let r be q(d). Which is the closest to 2? (a) -2\/7 (b) r (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 4\/(-20)*((-1)\/5 - (-90)\/(-300)). What is the fourth biggest value in -2\/23, u, 1, 15?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/((-6)\/3 - -1). Let u(d) = d**2 - d. Let q(t) = 2*t**2 - 13*t - 5. Let o(j) = x*q(j) + 5*u(j). Is o(6) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:13 PM and 9:47 PM?\nAnswer: 274","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 13369440 by 1120.\nAnswer: 11937","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 a, and 1 x when three letters picked without replacement from {e: 1, a: 2, u: 1, x: 1, g: 1, f: 2}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -81 + 3*(0 - 3)\/(-9). Calculate the common denominator of -25\/4 and (-2)\/4 - 792\/s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -37100.5 from -6.68.\nAnswer: 37093.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1415 (base 10) to base 14\nAnswer: -731","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5409, -5178, -4935, -4674, -4389?\nAnswer: -4074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (70\/40)\/(1\/(-28)). Let m = c + 108. Is m a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 626.124 months?\nAnswer: 52.177","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 39 + -18. Let s be 78\/g - 2\/(-7). Suppose 108 = 2*q - 5*d, s*q - 71 = -2*d + 97. What is the remainder when q is divided by 15?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 2530?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -155235 + 155238. Find f such that 4\/11*f**b - 24\/11*f**2 + 26\/11*f**4 - 2\/11 - 16\/11*f + 12\/11*f**5 = 0.\nAnswer: -1, -1\/6, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -14, 2889, 288, 0.5 in descending order.\nAnswer: 2889, 288, 0.5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 500 + 74 = 7*n. List the prime factors of n.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 90279 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -w**3 + 3*w**2 - w + 2. Let q(g) = 4*g**2 - 3*g - 3. Let y be q(-1). What is t(y)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = 2 - 3*i + 22*i**2 + 0 - 23*i**2. Let a be (-11)\/(-2) + 2\/(-4). Suppose -a*v + 0*v + 10 = 0. Give z(v).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is t in -3*t**3\/4 + 169*t**2\/2 - 3155*t\/4 + 1925 = 0?\nAnswer: 5, 308\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*f - 20 = 7*f, 3*y = 5*f + 17 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 326*f**2 + f - 12. Let s(w) = -3*w**2 + 12*w + 5. Let u be s(4). Is n(u) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/17984895 and -11\/765.\nAnswer: 53954685","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -5, -8, 4, -13, 11 in descending order.\nAnswer: 11, 4, 3, 2, -5, -8, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10*n**2*p**3 - 2137*n**2*p**2 - 166*n**2*p + 869*n*p**3 + 2*n + 2*p**3 - 2*p**2 wrt p.\nAnswer: 60*n**2 + 5214*n + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.0622 - -262.9378. Let t = i - 262.1. Which is the third smallest value? (a) t (b) 5 (c) 0.3 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6 - 0) + (1 - 2). Suppose -s*p = -5*b - 0*p + 30, 0 = -3*b - p + 14. Find the third derivative of -3*o**2 + 2*o**2 + 4*o**2 + 3*o**b wrt o.\nAnswer: 180*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-9)\/(-30)*5\/(-6). Let m = -111 - -166. Let w = m + -55.01. Which is the nearest to q? (a) -0.3 (b) w (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1048?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -341921, -683855, -1025789, -1367723?\n\"Answer: -341934*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2, 1, 0.0105, -8\/3, 4?\nAnswer: 0.0105","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.557 times 23?\nAnswer: -35.811","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -20, -36, -58, -86, -120?\n\"Answer: -3*a**2 - 7*a - 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p - 20 + 8 = 0. Suppose -d + 0*m + 3*m = 3, 0 = -5*d + p*m + 9. Let -4 - 5*o**3 - 2*o**3 + 12*o - 4 + d*o**3 = 0. What is o?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = 19*y + 248. Suppose -a + 9 = -3*f, 15 + 15 = 2*a - 2*f. Calculate the smallest common multiple of a and l(-12).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1005\/201*4\/(-10)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1317 - 11851\/9. Let k = 2\/31 + 9\/341. Which is the third smallest value? (a) -3 (b) q (c) 2\/3 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2.042 + -0.042. What is the closest to -3 in w, 0.3, 4, 5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12 + 5799*n**2 - 8 - 2251*n**2 + 20.\nAnswer: 3548*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -5*z**2 - 2*z. Let l(v) = 4*v**2 + 2*v - 1. Suppose -71*t + 74*t + 6 = 0. Calculate t*k(b) - 3*l(b).\nAnswer: -2*b**2 - 2*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*q - 97 + 20. Suppose q*x = 3023 + 1025. What is the remainder when x is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2504935824 to the nearest integer?\nAnswer: 50049","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22571, -22577, -22593, -22625, -22679, -22761?\nAnswer: -22877","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:29 PM and 3:17 AM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -1524, 1, 4, -764 in increasing order.\nAnswer: -1524, -764, 1, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 173336*f**3 + 173334*f**3 + 0.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20 - 15. Let q(v) = 5 + v**2 - 1 - 2 - 30*v + 24*v. Determine q(c).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (6\/(-30))\/((-2)\/20). Is 22\/33*1317\/z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 54 + -45. Let y(x) = -4*x**2 - 3*x + x**3 - 3*x - 2*x + m*x - 5. What is y(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15 + (9 - -3) - (1 + 1)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10 - 15)*(-4)\/5. Suppose 0 = 5*p - 10, 2*a = -p + 8 + c. Suppose -5*f + 485 = -5*g, 3*f - 295 = a*g + 2. What is the tens digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125, -108, -329, -532, -711, -860, -973, -1044?\nAnswer: -1067","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that 2\/5*g + 2\/15*g**2 - 8\/15 = 0.\nAnswer: -4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 481 + -133. Let l = -494 + g. Which is smaller: 2\/3 or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {k: 1, l: 9, p: 1, n: 3}. What is prob of sequence nnkl?\nAnswer: 9\/4004","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50) + sqrt(250)\/sqrt(5) + sqrt(2) - (sqrt(450)\/sqrt(9) - sqrt(2))) + 1 + 0.\nAnswer: 1 + 7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from cejjxcz?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-52))\/(-68*187\/136).\nAnswer: 1\/187","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-24)\/((j**19*j)\/j))**(41\/4) assuming j is positive.\nAnswer: j**(-1763\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**4\/7 + 3272832*s**3\/7 - 49092930*s**2\/7 = 0. What is s?\nAnswer: -1636431, 0, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 5*a - 370, 0*a - 2*y + 74 = a. Suppose -5*h - 26 = o - a, 0 = -5*h + o + 42. Is 10\/45 + 214\/h a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -16 - -50\/3. Which is the nearest to 0.1? (a) 21 (b) j (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -6*h**2 - 5*h - 1. Let x(m) = -3*m**2 - 3*m - 1. Suppose -5*r = -3*t + 40, 5*t - r = 4*t + 10. What is t*x(c) - 3*q(c)?\nAnswer: 3*c**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -3552 divided by 11551\nAnswer: -3552\/11551","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 18 (b) 11 (c) -4 (d) -3 (e) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v**3 - 6*v**3 + 83*v**3 - 15*v**3 - 30*v**3.\nAnswer: 22*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by -565778?\nAnswer: 2\/282889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -4396 divided by -4\nAnswer: 1099","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n and 1 x when three letters picked without replacement from nxxnuaxaxxeexoxaxn?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) be the first derivative of -h**3\/3 - 3*h**2 - 5*h + 26. Let u be c(-4). Solve 0 = -4*d + u - 15 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4608100?\nAnswer: 2, 5, 7, 29, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 417524197, 417524195, 417524193?\n\"Answer: -2*l + 417524199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 32781321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2912443 + -1?\nAnswer: 2912442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = -2*p + 40. Suppose -3*c + c = -4*i - 352, p*c - 348 = 2*i. What are the prime factors of c?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1107 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -0.5, -2\/5, 2\/27?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 + -6. Let z(r) = -2*r - 8. Let u be z(-6). Suppose 5 = 3*n - u*f, 8*n - 3*n + 15 = -5*f. Put n, -4\/7, m in descending order.\nAnswer: m, -4\/7, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = -23*m - 29. Let u = -90 - -81. Let y be a(u). Suppose 0 = -4*d - 2*i + 550, -4*i = 2*d - y - 88. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the second derivative of -a**3\/6 + a**2\/2 - 15*a + 4. Let h(l) = 7*l. Determine h(v) + 5*n(v).\nAnswer: 2*v + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.143321kg?\nAnswer: 143321","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 0*c = -75. Let s(j) = j - 7. Let x be s(11). Suppose -5*l + c = x*y, 0 = y + y + 5*l - 5. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -850*v + 54056 = -619*v + 701*v for v.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4698618?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 4*n = 71 + 33, 0 = -4*y + 2*n + 98. Let w = y + -8. What is the tens digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in five eighths of a second?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -49, 2\/7, -1?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*s + 8*s - 9 - 9 + 5*s**2 as d + k*s + z*s**2 and give z.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 49 + -53. Put -5, f, 2 in ascending order.\nAnswer: -5, f, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 4*o**2 - 16*o + 3. Let u be x(4). Solve -i = -3*y + 4*i + u, -5*i + 5 = -5*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.6 and -245.\nAnswer: -245.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2427 less than 2258?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/145, 2\/5, -0.5 in decreasing order.\nAnswer: 2\/5, 2\/145, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -1. Let l(x) = -13*x + 22. Let n(q) = 3*q - 5. Let i(h) = 2*l(h) + 9*n(h). Give -i(d) + 4*r(d).\nAnswer: -d - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 7 - 1. Let q(b) = b**2 - b. Let v(o) = 8*o**2 + 9*o + 1. Let s(u) = 6*u**2 + 8*u + 1. Let c(m) = -6*s(m) + 5*v(m). What is y*q(g) - 2*c(g)?\nAnswer: -2*g**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) be the first derivative of 0*o**4 - 2 + 0*o - 1\/60*o**5 - 5\/2*o**2 + 3\/2*o**3. Let r(d) be the second derivative of m(d). What is r(0)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -7.2096318 to three dps.\nAnswer: -7.21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 86 - 50. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/8 - (-3 + (-12)\/(-8))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/(-3) - 193\/(-3). Suppose g = 5*g - p. Suppose -5*v - 134 = -4*x + 60, 5*x - 2*v = 234. What is the remainder when x is divided by g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l + 6 = 0. Suppose 2*g + g - 105 = 5*f, f = -l*g + 83. What is the units digit of g?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in fourty-six fifths of a litre?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9606108 minutes in seconds?\nAnswer: 57.636648","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 240480024*l - 792098413?\nAnswer: 240480024","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126682 is divided by 121.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = -6*a - a**2 - 1 + a**3 + 3*a + 2*a + 2*a. Let z be v(1). Let x(y) = 2*y**2 + 118*y + 111. Let q be x(-58). Put 25, z, q in decreasing order.\nAnswer: 25, z, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l**2 + 56*l + 573. What is z(-9)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.4 - -1. Let b = -1.6 + -0.4. Let z be ((1\/4)\/1)\/(3\/6). What is the nearest to 1 in b, z, j?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (50\/(-44) - -1)*(-104)\/(-78). Which is the biggest value? (a) -2\/17 (b) -0.2 (c) s (d) 2\/17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -321920694 divided by 3083?\nAnswer: -104418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 take away 2339.32344932?\nAnswer: -2347.32344932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1015 + 3219. Suppose 228 = 2*s - c. Suppose 4*x + 4*a = s, -3*a = -5*x - 0*x + 1544. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 - -3. Suppose -5*u - 2*h + 2353 = 0, -7*u + 5*u - 2*h + 946 = c. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -975 (b) 0.3 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**8)**(-17)\/(k**(4\/7))**(-43) assuming k is positive.\nAnswer: k**(-899\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -5411449, -5411452, -5411455, -5411458, -5411461?\nAnswer: -5411464","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16 - -6. Let v = q + 10.07. Let z = v - -0.13. What is the closest to z in -0.2, 0.1, 1\/2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -824*v + 827*v = 15309. Is 189 a factor of v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y - 6 = -j - 13, 0 = -2*j + 2*y + 16 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*i + 133 + 377. Find the common denominator of 3 + (i\/(-2) - 1) and -97\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 128.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 926 divided by 516.\nAnswer: 463\/258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3.6304 + 1.6304. Which is greater: -1\/59 or i?\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -l**3 - 2*l**2 + 8*l + 11. Let p be v(-3). Let o be (-12*(-2)\/(-4))\/(15\/p). Factor 16\/5 - o*a + 2\/5*a**5 - 4*a**2 + 8\/5*a**4 + 2\/5*a**3.\nAnswer: 2*(a - 1)**2*(a + 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 176*-4.\nAnswer: -704","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**5 - 80*t**4 - 260*t**3 - 240*t**2.\nAnswer: -5*t**2*(t + 2)**2*(t + 12)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 20747972 a multiple of 557?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -2 + 0*r - 7*r**2 + 4 - r + 6*r**2. Let y(d) = d**3 - d**2 - d - 2. Let q be y(2). Suppose q = 4*p + 5*h, h = -h. Give z(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1*1.456\nAnswer: 0.1456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66425 is divided by 35?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Do 99\/12436 and 1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*o**3 - 4\/7*o**2 - 2*o**5 + 0 + 0*o + 4\/7*o**4 = 0.\nAnswer: -1, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that -27*b**5 + 7008099*b**4 + 19467087*b**3 + 16352397*b**2 + 2336064*b - 1557372 = 0.\nAnswer: -1, 2\/9, 259562","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 142\/355*((-2)\/(-9) - (-6171)\/1188)?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 2*y**2 - 32*y - 66. Let z be v(18). Suppose -33892 = -3*i - 5*b, -i + 11303 = -10*b + z*b. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 * 21752\nAnswer: -282776","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/4, 55, 0.2 in descending order.\nAnswer: 55, 1\/4, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -16, -635, -10 in increasing order.\nAnswer: -635, -16, -10, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 33 - (0 - -1 - ((23 - 38) + 15)).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.074909 decades in months?\nAnswer: 848.98908","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = 243*t + 2633. Calculate r(-12).\nAnswer: -283","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7657 + -7658. Which is the second smallest value? (a) 0.5 (b) 2\/17 (c) -0.2 (d) 1 (e) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 161 and 326899.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -760482*j + 4680 = -759702*j for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 - 10*q**2 + 161*q - 225. Determine b(-12).\nAnswer: -1869","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -308323 rounded to the nearest 1000?\nAnswer: -308000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -230 and 8.\nAnswer: -1840","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 22975 (base 11) to base 8\nAnswer: 100533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 1 - z)*(-649*z**3 - 9478*z + 9478*z) + z**4 + 2*z**4 - 2*z**4 as k*z**2 + i*z**4 + c*z**3 + x + h*z and give i.\nAnswer: 650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhshswwshsr. Give prob of sequence ss.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -390*a**3 - 32*a**3 - 143*a**3 - a**4 + 127*a**3 + 2*a**4 + a as c + r*a**2 + o*a + n*a**3 + h*a**4 and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-3)*-2 - -7. Suppose 48986255 + 2013745 = s*u. Round u to the nearest 1000000.\nAnswer: 10000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, f: 2, c: 6, s: 4}. Give prob of picking 1 h and 2 s.\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -27, -4, 1 in decreasing order.\nAnswer: 1, 0, -4, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(14)\/(sqrt(2) + sqrt(4)\/sqrt(2)))**2 + -2 + (sqrt(175) + 0)**2)*-6.\nAnswer: -2265\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 4119, 12006, 23685, 39156, 58419, 81474, 108321?\n\"Answer: 1896*t**2 + 2199*t + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 16604 and 8242700?\nAnswer: 2372","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 56035, 56087, 56217, 56461, 56855, 57435, 58237?\n\"Answer: 6*s**3 + 3*s**2 + s + 56025","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1580653973\/84 - 18818222. Let o = l - -3637\/4. Find the common denominator of o and 22\/(-12)*(-18)\/16.\nAnswer: 336","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of u*w**2*y*z**2 - 50572537*u*w**2*y - 2*u*w*y*z + u*y*z - 8*u*z**2 + 452*w*z**2 - 18*w*z - 4*w - 3*y wrt w?\nAnswer: 2*u*y*z**2 - 101145074*u*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 311662 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 43*z - 12. Let d(m) = 86*m - 30. Let b(v) = 30*c(v) - 12*d(v). Let a(o) = 6*o. Determine a(b(u)).\nAnswer: 1548*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17.6 - 97.6. Let k = 79.798 + m. What is k rounded to 2 decimal places?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -244, -222, -178, -106, 0?\n\"Answer: p**3 + 5*p**2 - 250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1744 or -1743?\nAnswer: -1744","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u = -0*u. Suppose 168*p - 30 = 163*p - 4*f, 3*p - 4*f + 14 = 0. Suppose -4*a + l + 264 = u, a = 5*a + p*l - 276. Is 7 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 76\/(-1482)*35\/((-945)\/(-234))*(-3)\/122.\nAnswer: 2\/183","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -1222, -5, -8, 5 in ascending order.\nAnswer: -1222, -8, -5, -4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (2 + 1\/(-2))*(-260)\/(-550) and -36\/5.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + 9 + -1)\/(-1). Let k(r) = r**2 + 7*r - 5. What is k(i)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1025 and 97025.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -69, 612, 1293, 1974?\nAnswer: 2655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11196964 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-15)\/9)\/(3\/9). Let g be (20\/k)\/((-2)\/6). Let d(x) = 3*x - 12 + g. Let p(c) = 4*c. Calculate p(d(b)).\nAnswer: 12*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 3*j + 4*y + 48, 2*j + 12 = y. Let s be (-2 + j)\/((-2)\/(-1)). Does 3 divide (-1 - -2)*(0 - s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 184897 and 5175?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 7 + 23 = 0. What are the prime factors of f?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10201002202 (base 3) to base 12\nAnswer: 36292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 + 6*v - 81. Suppose 2*c - 4*z = 5*c + 52, c + 3*z = -24. Let h be k(c). Let s(p) = p**2 + 9*p + 6. Give s(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 188829162?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (54\/10 + -5)*1765. Let i = l - 464. Suppose 2*q = n + 39, q = 3*n + 2*n - 3. What is the highest common factor of i and q?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12*s + 2830 - 22582 = 0. Is 2\/((-60)\/s) - (-100)\/750 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4129, -4130, -4131, -4132?\nAnswer: -4133","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4108\/(-16) + (-1)\/4. Let a = -145 - b. What are the prime factors of a?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -5065241 + -40?\nAnswer: -5065281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 15.14614 centuries in decades?\nAnswer: 151.4614","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -104 + 0.13351755004\nAnswer: -103.86648244996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 6:18 PM?\nAnswer: 6:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -s**6\/30 - 7*s**3\/2 - 53*s**2\/2 + 22*s + 21. Let v(z) be the first derivative of u(z). Differentiate v(b) wrt b.\nAnswer: -4*b**3 - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -109 - -177. What are the prime factors of a?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 967 = 5*j, -776 = -4*j - 22*i + 26*i. What is the hundreds digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = a + 7. Let b be 35\/10*2 + 1. Let m be (-18)\/24 - 34\/b. What is g(m)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (810\/(-2))\/(3\/(-4)*2). Let t = 274 - m. Solve -w = t*w - 10 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -2*u**2 - 24*u - 12. Let g be q(-10). Calculate the highest common divisor of 189 and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c**4 + 1852*c**3 - 199680*c**2 - 1037632*c - 836096 = 0. What is c?\nAnswer: -4, -1, 184, 284","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12045184 is divided by 210?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + sqrt(405) + (4*1*sqrt(405))**2.\nAnswer: 9*sqrt(5) + 6484","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -840 + 855.12. Round j to zero decimal places.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 298645?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 9837041?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 - -4. Let k(g) = 1 + 2*g + l + 2*g**2 + g. Does 10 divide k(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 + 37*h**2 - 186*h + 10. What is the remainder when 106 is divided by y(31)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(55\/(-10) - -4). What is the smallest value in a, 0.4, -2\/9, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.968 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -314 + 404 = -10*r. Let i(h) = h**2 - 12*h + 1. Let w(a) = -4*a**2 + 49*a - 5. What is r*i(j) - 2*w(j)?\nAnswer: -j**2 + 10*j + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 37 is divided by (-200)\/(-24) - 5\/(-3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 4*f - 3. Let o = 4 + f. Suppose -5*j + 10*j + 3*s = 20, -5*s + 30 = 5*j. Is o <= j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = 177*h**2 + 2*h + 1. Let j be z(-1). Let b = 7 - -11. Let v be j\/b + (-6)\/(-27). What is the greatest common divisor of v and 70?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 90611129.\nAnswer: 7, 293, 44179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00577055854 rounded to six dps?\nAnswer: -0.005771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b*b*b**(-29)\/b*b)\/(b\/b**(-21)*b*b))**(-20\/9) assuming b is positive.\nAnswer: b**(1000\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-12)\/(-20))\/((-2)\/(-30)). Let i be 42\/v*1*6. What is the common denominator of (i\/10)\/((-3)\/(-25)) and 93\/8?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k + v - 22917 = 0, 4*k - 5*k - 4*v + 7628 = 0. Let y = 183745\/24 - k. Let c = y + -25\/6. Calculate the common denominator of c and 31\/5.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-91 - (110 + -177)) + (52 - 1) - 10.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4 + (-1 + -2 + 1 + sqrt(325) + sqrt(325) + -1)*-5 + 0)**2*6.\nAnswer: -6600*sqrt(13) + 195726","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1262068*n**3 + 1262074*n**3 - 2524144*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 0.2, -4, -2, -3, 0.0332, 2?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17066235*-0.3.\nAnswer: -5119870.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1011 + -110010011111101110111110?\nAnswer: -110010011111101111001001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*sqrt(192)*5 + (-4 + sqrt(6)\/sqrt(2) - sqrt(3))*6.\nAnswer: -24 + 80*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, 4\/11, 2, 454\/7 in ascending order.\nAnswer: -0.2, 4\/11, 2, 454\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (1*(sqrt(84)*-1 + sqrt(84)))\/(-3*sqrt(48)\/sqrt(4) + sqrt(12)) + -5.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 43c81 + 73?\nAnswer: 44024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Are -9268320 and -9268322 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -7 + 9. Let t(p) = -2*p**c + 4 + 6*p - p**3 + 0*p**3 - 6*p. Does 6 divide t(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -9*d + 7. Suppose 3*l = 2*o - 23, 0*l + 31 = 4*o - l. Let z(i) = 5*i - 4. Suppose 12*c = 16*c - 16. What is c*q(u) + o*z(u)?\nAnswer: -u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 345167953?\nAnswer: 13, 47, 564923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -241\/5? (a) 2\/11 (b) -0.5 (c) -7\/6 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.91 + -1.91. Which is the closest to l? (a) -1\/6 (b) -3 (c) 2\/5 (d) -1\/7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -2\/3 (c) 13 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = -5*d**2 + 9*d + 13. Let l be a(-6). Let g = l + 391. Does 34 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 169354 and 3516.\nAnswer: 1016124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4658694*b**3*f - 310084*f + 2 wrt b.\nAnswer: -13976082*b**2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 3442116 a multiple of 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 0.067\nAnswer: -0.0335","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 10. Let i be f(-5). Let g(z) = 4*z + 2. What is g(i)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/10 and -41\/17345.\nAnswer: 34690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 25391836 is divided by 188.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d = -3*a - 22 + 1, -d - 5*a - 7 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.19 and -252127720.\nAnswer: -252127719.81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 9576 and 891081.\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1024.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -10*x**2 + 131122*x - 6 - 2*x**3 + 4 - 131125*x in the form b*x**3 + h + q*x**2 + j*x and give q.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -29628 - 16164 = -2544*t for t.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4900 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 32445\/70*(-268)\/(-1206).\nAnswer: 103","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*h - 240 = -66*h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that 3*d**5 + 539*d**4 + 11296*d**3\/3 - 97724*d**2\/3 + 113312*d\/3 - 35776\/3 = 0.\nAnswer: -172, -13, 2\/3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0 - ((-1 - 3) + 1 + -3)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the second derivative of 3*o**3 - 9*o**2 + 4*o. What is the first derivative of w(x) wrt x?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -14*r**2 + 11*r + 2. Let y(f) = 7*f**2 - 6*f - 1. Let o(q) = -6*m(q) - 11*y(q). Let c = -9 - -7. Let l be -2 + (-6)\/4*c. Calculate o(l).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) be the first derivative of j**7\/420 - 13*j**6\/360 + 2*j**5\/15 - 5*j**4\/24 - 89*j**3\/3 + 62. Let w(c) be the third derivative of l(c). Factor w(p).\nAnswer: (p - 5)*(p - 1)*(2*p - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 50974, 50981, 50988?\n\"Answer: 7*y + 50967","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*d - g = 52, 5*d + 90*g - 86*g + 76 = 0 for d.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2601 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of 6*v**5\/5 - 11*v**4\/3 + 10*v**3\/3 + 17*v + 31. Let l(q) be the first derivative of o(q). Factor l(y).\nAnswer: 4*y*(y - 1)*(6*y - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 2\/5 (b) -5 (c) -4\/3 (d) 222 (e) -5\/3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128304 divided by -3.\nAnswer: -42768","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 142*d**2 + 3*d + 2. Calculate the least common multiple of b(1) and 189.\nAnswer: 1323","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*r - 9. Determine u so that 3 - 3*u + r*u**2 - 5*u + 2*u = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47215.89 rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -981222 - -5874065\/6. Let m = g + 2226. What is the common denominator of 87\/8 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, 7, 2\/7, -0.4, -3 in descending order.\nAnswer: 7, 2\/7, 0.1, -0.4, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) be the first derivative of -12*g - 3 + 11\/2*g**2 + 1\/3*g**3. Let m be n(-12). Solve m = x + 3*x + 4 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 352 and 121?\nAnswer: 3872","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2221477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 1598, 6373, 14324, 25445, 39730, 57173, 77768?\n\"Answer: -p**3 + 1594*p**2 + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21\/4 of a litre in millilitres?\nAnswer: 5250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15001 (base 12) in base 9?\nAnswer: 44261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 9*l + 70. Let q be u(-8). Let f = -0.2 - -0.1. Which is the third biggest value? (a) f (b) 4\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12987515 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 - (-4 + 9 + -2).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t**3 - 70*t**2 + 1537*t - 10092 = 0. Calculate t.\nAnswer: 12, 29","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * -0.22206.\nAnswer: 1.1103","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 33*h**2 - 3*h + 3. Give o(1).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q*q**(2\/103)*q**(-1\/30)\/q*q**(3\/2)*q**(20\/9)*q assuming q is positive.\nAnswer: q**(21823\/4635)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26\/5*n - 12\/5 - 2*n**2 = 0 for n.\nAnswer: -2, -3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -95 = -4*x - 39. Suppose -8*z - 378 = -x*z. What are the prime factors of z?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -5 - (2 + -5) - -2\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((-2*sqrt(72) + 2 - sqrt(72)) + -3 + -3 + (sqrt(72) - -6*-3*sqrt(72)) + -3))**2.\nAnswer: 6720*sqrt(2) + 115396","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**3 + 5*z**2 + 9*z - 4. Is o(7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 253.7 - 246. Let v = -7.9 + s. What is the closest to 0.1 in -3\/4, v, -1\/11?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1968.47 to 0 dps.\nAnswer: 1968","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179706 by 435.\nAnswer: 59902\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10111 + 10199. What is the greatest common factor of o and 7436?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ffnnflcfafnfa. Give prob of picking 1 c and 1 f.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*y**3 + 4844*y**2 = 0 for y.\nAnswer: 0, 1211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n*n\/(n*n**0)*n*n*(n\/(n**(-3\/19)\/n)*n)\/n*n*n*((n\/(n\/(n*n**41*n)))\/n)\/n**(3\/8))**(-14\/13) assuming n is positive.\nAnswer: n**(-51905\/988)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 1 - 2)*(-4*g + 4*g + g**5) - 70 - 39*g**5 + 70 + (-g**3 + 2*g + g**3 - 3*g**3)*(-3*g**2 + g**2 - 9*g**2).\nAnswer: -7*g**5 - 22*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from {l: 5, f: 4, n: 1}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 8*i. Let p(q) be the second derivative of -5*q**3\/2 - 7*q**2\/2 + q + 1376. Calculate p(w(f)).\nAnswer: -120*f - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0688590458 rounded to 2 dps?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bpxxxpbxx. What is prob of picking 2 x?\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -292 + 1?\nAnswer: -291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1483, 1575, 1719, 1909, 2139, 2403, 2695?\nAnswer: 3009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -20 - -19. Which is the biggest value? (a) f (b) 0.1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 11:19 PM?\nAnswer: 12:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 51293 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 f when three letters picked without replacement from pffpfffffffffpppfff.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7026 divided by -14.\nAnswer: 3513\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 464935 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 11 = -2*n, -5*t - 6 = 5*n - 16. Suppose t*f + 0*f - 30 = 0. What are the prime factors of 1 - f\/(-4 - -3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 210\/(-2) + 8 + -5. Let p = 115 + c. What is the greatest common factor of 39 and p?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) be the first derivative of m**4\/2 + m**3\/3 - 2659. Let c(b) = b**3 - 5*b**2 + 4*b - 1. Let a be c(4). Determine h(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4195 and 65.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1836 and 1411.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-490)\/210*-3*(-4)\/(-462). Which is the nearest to -2\/5? (a) -8 (b) -1 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -154033\/351 or -439?\nAnswer: -154033\/351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (44\/(-140))\/((-359)\/12565)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 141 and 4821?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 + 3*q + 5. Let f = -7 - -12. Let p be a(f). Let v(x) = -5 - 4*x**2 + 5*x + 2*x**3 - x**3 - 2*x**3. What is v(p)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in six fifths of a kilogram?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 7*n**2 - n + 1. Suppose w = 5*y - 245 + 243, 0 = -2*w + 6. Give o(y).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.6842 rounded to one dp?\nAnswer: 2.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 781 divide 651908180?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 17*l - 740 + 553. Solve 0 = 4*a - v + 17, -4*a - l*v - 37 = -16*v for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -1. Let v = -3040 + 3046. Let c(b) = -2*b + 15. Determine v*f(i) + c(i).\nAnswer: -2*i + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z be -1 + 1364\/16 - (-22)\/(-88). Calculate the highest common factor of 483 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:54 PM and 2:25 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 11*s**2 - 13*s - 10. Let b be m(-12). Suppose 2*y - 11 = -5*z - b, -y = -z - 15. Does 4 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 1, g: 1, z: 1, j: 4, c: 1}. Give prob of sequence jugj.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 170\/(((-83)\/(-83))\/(26\/(-65)))\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 67 = 5*g, -21 = -4*g - n + 26. Let x = g - 9. Suppose -v - 2*v + 5*u + x = 0, 0 = 5*u - 10. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -65, -74, -109, -182, -305, -490, -749, -1094?\n\"Answer: -2*f**3 - f**2 + 8*f - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*s - 80 + 24. Let h(b) = -b**2 + 4*b + 6. Calculate h(s).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1)\/(x\/(x*x\/(x*x**(-3\/7)*x*x))))\/(x**(-2\/13))**45 assuming x is positive.\nAnswer: x**(396\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 0.009, -2\/3, 25?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -10*n**2. Let u(s) = -s**2 - 1. Suppose 6 = -3*w + 3*p + 24, 0 = 4*w + 2*p. Let h(d) = 1. Let i(k) = w*u(k) + 2*h(k). Give a(i(f)).\nAnswer: -40*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2501561.\nAnswer: 103, 149, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -7852, -31289, -70320, -124951, -195188, -281037?\nAnswer: -382504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -154835*q**4 + 4*q**3 - 2*q**2 - 9280*q - 71 wrt q?\nAnswer: -1858020*q**2 + 24*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o - 8 = -4*y - 4*o, -3*o + 6 = 2*y. Let c(n) be the first derivative of 2*n**2 + 3\/2*n**4 + y*n - 2 - 10\/3*n**3. Factor c(t).\nAnswer: 2*t*(t - 1)*(3*t - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in 4, 4\/7, 174, -1\/2, -3?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 147048000 rounded to the nearest one million?\nAnswer: 147000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*m**2 - 5*m**2 + 5*m**2 + (0*m + 3*m + 2*m)*(4*m + 0 + 2 - 1) to the form d*m**2 + i + z*m and give i.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (2 - 2770\/(-5)) + 3?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4047.99 + 62.99. Let c = j + 3985.0001739. Round c to 5 decimal places.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1024388 rounded to 4 dps?\nAnswer: 0.1024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**3 + 16*l**2 - 32*l.\nAnswer: -2*l*(l - 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {g: 1, j: 6, s: 2, l: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 470905 to the nearest integer?\nAnswer: 686","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of 1\/60*z**5 + 0 + 5\/24*z**4 - 13*z**2 - 7\/6*z**3 - 35*z. Let w(y) be the first derivative of i(y). Give w(-7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 687333221 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = 477*t - 477*t - 6*t**2. Let b(f) = f**2. Calculate b(g(j)).\nAnswer: 36*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 127063859 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - -1. Let l(a) = 2*a**2 - 3*a. Let m be l(x). Let g(c) = c - 10. Let z be g(10). Solve 4*o = -4*r - 16, m*r = -4*o - z*o - 16 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 5, -6, 2 in descending order.\nAnswer: 5, 3, 2, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -55, 0.2, -2\/5, 0.06?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -11*w**3 - 2*w**2 - 12*w**3 + w + 4 + w**2 + 28*w**3 in the form h + k*w**3 + n*w + u*w**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -22 + 24*b - 3 - 2*b**2 + 0. Let a be j(11). Put -5, 2, a in increasing order.\nAnswer: -5, a, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*s + 9724 = 10*h + 9734, 5*s = h + 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*n - 75 + 51 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 + 2*w**2 + 4*w - 3. Let o be -5*6\/(-105) - 38\/(-14). Let x be c(o). Factor 4\/7*b**4 - 4\/7*b + 4\/7*b**3 + x - 4\/7*b**2.\nAnswer: 4*b*(b - 1)*(b + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -14 - 6*s - 3*s + 8*s. Let r be k(10). Let g be -4 + (3 + -4 - r). What is the greatest common divisor of 57 and g?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 59 + -1114. Let s = h - -2496. Is s 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 2125864383?\nAnswer: 3, 389, 1821649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24*q + 35 = 29*q for q.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3.2 + -4. Let h = m + -0.2. Is h at least as big as 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 73309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -837*d + 789*d + 48 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(112))\/sqrt(7) + sqrt(784)*-1 + sqrt(784))\/(-5*sqrt(32)*-5*1).\nAnswer: sqrt(2)\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 10, 110, 400, 976, 1934?\n\"Answer: 16*x**3 - x**2 - 9*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 79\/4 and ((-17)\/(-40))\/((-18)\/(-135))?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-21)\/(i*i**(-11\/2)\/i*i**(-5)) assuming i is positive.\nAnswer: i**(63\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 65504, 130990, 196476, 261962?\nAnswer: 327448","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2.4 - 2. Let q = 1.2 - s. Let x = q + -0.5. What is the second biggest value in 2\/7, x, -0.4?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 6897*n**2 - 249*n + 257079557 wrt n.\nAnswer: 13794*n - 249","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3806 + 1306*b + 3806)*(-5 - b + 5*b - 2*b + 0*b).\nAnswer: 2612*b**2 - 6530*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -84*x + 214*x + 307*x + 53*x.\nAnswer: 490*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -8 (base 13) to base 6\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(17) - (-3*(sqrt(17) - sqrt(136)\/sqrt(8)) + sqrt(17)))**2 - -1*(sqrt(17) + 4).\nAnswer: 4 + sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.4420625l?\nAnswer: 442.0625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y = 11*y - 7*y + 91 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -28 - -54. Let h be v\/8 - (19\/(-4) - -5). Solve 2*k + 3*k = 3*b + 6, 2*b + 4 = -h*k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -11*x**2 - 7892*x - 39298. Determine c(-5).\nAnswer: -113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 77*a + 51*a + 8272 = -48*a for a.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 6810473 a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1803 minus 95571460?\nAnswer: -95569657","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11100 - -11110011001010?\nAnswer: 11110011100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**(-1))**(-29)\/(o**5\/(o\/(o**(-2\/13)*o)*o)))\/((o\/o**(-2\/7))**17*o**(-5)*o\/(((o\/o**(2\/15))\/o*o*o)\/o*o)) assuming o is positive.\nAnswer: o**(12508\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -18566 divided by 6?\nAnswer: -9283\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 159 + -248. Let t = -48.5 - -135.5. Let m = t + r. Which is the fourth biggest value? (a) m (b) 2 (c) -2\/11 (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.08? (a) 1 (b) 224.3 (c) -9 (d) 0.08\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*a**2*f*w**2 - a**2*f*w + a**2*f - 117400*a**2*w - 124*a*f*w**2 - 4*a*f - 25215*a*w**2 - 70*f wrt w?\nAnswer: -8*a**2*f - 248*a*f - 50430*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 10, x: 2}. What is prob of picking 2 x?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*f - 3*f + 2*f + (-2 + 4 + 0)*(2 - 2 + 2*f))*(38*f**2 + 19*f**2 + 46*f**2).\nAnswer: 824*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -21715 smaller than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from brpeboebberpebebbre. What is prob of picking 1 o and 1 e?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3715 and 1141615785.\nAnswer: 3715","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*h - 878 = -3*g - 16*h, 3*g + h = 883. Calculate the highest common factor of 16 and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 8 and 26.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mwhh. What is prob of sequence mw?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 31\/5 of a litre?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13539?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**3 - 4*d**2 - 5*d + 10. Determine f(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = -x**3 + 4*x**2 - 8*x + 15. Calculate i(4).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 67*b - 50*b - 1479. Calculate the greatest common factor of 493 and b.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 - 5 = 4*d. Let w be (-2 + (7 - d))*(0 - -1). Solve w*q = 2*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 77 divide 3234?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -47\/2591694 and -131\/3455592?\nAnswer: 10366776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*q - 0*q. Suppose 2*w - 3*b + 6 = 0, -5*b + 6 = 5*w - q. Suppose 0 = 3*h + 4*d - 37, -2*d + w = h - 15. Does 3 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 3, -0.1, -219, -1\/4, 1, -0.49?\nAnswer: -219","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2010001102 + 12?\nAnswer: 2010001121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17.6 - 3.6. Let b = 23 + -10. Let l = i - b. What is the third biggest value in l, 1.1, 5?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24488190143 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does -7581638 = -7581639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -187600.8 to the nearest 1000.\nAnswer: -188000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p + 4 + 0 = 0. Let v(n) be the first derivative of 2*n**2 + 111*n**4 - 108*n**p + 4*n**2 - 6. Find the second derivative of v(u) wrt u.\nAnswer: 72*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 19003314?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 + 143 = 10*s. What is the derivative of 433*c**2 - 4*c - 221*c**2 - 214*c**2 - s wrt c?\nAnswer: -4*c - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -15 by -2014914.\nAnswer: 5\/671638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2*87\/(-42) - (-2)\/(-2). Is k smaller than -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -1, -13, 15, 116.\nAnswer: -13, -1, 1, 15, 116","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 4*x. Let j(k) be the first derivative of 4*k**3\/3 + 3. Give l(j(q)).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 44681 to the nearest integer?\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 64831630, 64831631, 64831632?\n\"Answer: b + 64831629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -41 - (25 + (5 - 16))?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of ((-31 - -35) + (-16138)\/(-4))*(-4)\/(-2)?\nAnswer: 41, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*o**3 - 186 - 57*o + 186 - 2*o**2 + o to the form r + g*o**3 + i*o + w*o**2 and give i.\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 11 + -2 + (2 - 9 - -3)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2 - 0)\/(18\/207).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*2*1\/2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 2\/11, -1\/6, -4, -63, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 456 - 448 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 459827 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g**2\/4 - 18017*g\/2 + 252287\/4 = 0. Calculate g.\nAnswer: -36041, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -17*61\/(-183)*1*3. Let r be 2\/(0 - 2)*-60. Suppose o + v - r = 0. What are the prime factors of o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 590940 is divided by 118.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-1*sqrt(176) - sqrt(176)) + -5)*3)**2 - (2*(-1*sqrt(176))**2 + -3).\nAnswer: 720*sqrt(11) + 6212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.594 and 12?\nAnswer: -7.128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = y + 4. Let c(f) = 2*f + 5. Let z(s) = 4*c(s) - 5*h(s). Let u(x) = -45*x - 8. Let n(q) = 29*q + 5. Let g(t) = 8*n(t) + 5*u(t). Determine z(g(d)).\nAnswer: 21*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 - 27 - 7*m**4 + 3*m**4 + m**2 + 0*m**2 + m**3 + 28 to the form v*m**2 + l*m**3 + t*m**4 + c*m + r and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 96 to the power of 1\/3, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 650 and 52?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 118 a factor of 6088092?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 11 = -3*t, -4*t + 9*t - 15 = -5*y. Suppose -5*h + 3*h + y*q = 17, -2*h = 5*q + 7. Is h\/4 - 362\/(-4) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 629, 1260, 1891, 2522?\n\"Answer: 631*a - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**3\/10 - 2*x**2 + 42*x\/5 = 0.\nAnswer: 0, 6, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -119435 - -119435.3. Let p = -11\/14 - -93\/154. Sort p, l, -0.07, 2 in descending order.\nAnswer: 2, l, -0.07, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -w + 6. What is the remainder when s(-17) is divided by 5*(-5)\/((-50)\/24)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16 + 12 + -26 + (-26 - -12 - 7).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 610087699 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**2\/7 - 45740*v\/7 + 777869\/7.\nAnswer: -(v - 17)*(v + 45757)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 0, -3, 5, -5, 64, 19017 in increasing order.\nAnswer: -5, -3, 0, 4, 5, 64, 19017","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.05 and -2.3.\nAnswer: -0.115","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/11, 1\/4, -2\/29, -49 in decreasing order.\nAnswer: 1\/4, -2\/29, -2\/11, -49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -55*p**2 - 2007*p + 12017. Calculate s(6).\nAnswer: -2005","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/6*2*30\/32.\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -1435 - 80?\nAnswer: -1525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5 - -5. Let q = 31699 - 31695. Sort d, 3, q in decreasing order.\nAnswer: q, 3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 46*a**3 - 34*a**3 - 45*a**3 - 43*a**3.\nAnswer: -76*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:59 AM and 2:48 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 97012?\nAnswer: 873108","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -23334, -46695, -70056, -93417, -116778?\n\"Answer: -23361*d + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/((j*j**(8\/7))\/j))\/(j*j**(-17)\/j))\/(j*j**(-1\/3)*j)**9 assuming j is positive.\nAnswer: j**(13\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 58.49766 to 1 decimal place.\nAnswer: 58.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -5, -36, -7 in ascending order.\nAnswer: -36, -7, -5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*v - c - 21, 2*v + 28*c + 9 = 29*c for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (15 - 8) + 1192 - 2?\nAnswer: 3, 7, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -3*a + 2*a + 2*a. Let s(g) = -16*g + 27*g + 0 + 0. Calculate w(s(o)).\nAnswer: 11*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5692.\nAnswer: 2, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 6. Let a(n) be the first derivative of -n**3\/3 - 3*n**2 + 3*n - 3. Calculate the remainder when 42 is divided by a(v).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 2395920 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 34, -7, 1, 6, -1.\nAnswer: -7, -1, 1, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1 and -1034.24.\nAnswer: 1034.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the third derivative of -1\/2*u**3 + 1\/12*u**4 + u**2 + 0 + 0*u. Differentiate q(p) with respect to p.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -831 + 1412. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19277.6 + 19.\nAnswer: -19258.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 540 divided by 15\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = h**4 + h**3 + h. Let a(t) = 13*t**4 + 4*t**3 + 2*t**2 + 4*t. Let d(q) = -a(q) + 4*r(q). Find the third derivative of d(m) wrt m.\nAnswer: -216*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2. Let c = -12504 - -12507. Let g(y) = -4*y**2 + 18. Determine c*j(z) - g(z).\nAnswer: z**2 - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is a88 + 170?\nAnswer: 1038","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -10*f**2 + 10*f + 10. Let q(p) = -p**3 - p**2 + p + 1. Let d(n) = 9*n + 26. Let o be d(-3). Calculate o*k(r) + 10*q(r).\nAnswer: -10*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 7338692 (base 10) to base 8\nAnswer: 33775304","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) be the third derivative of -19*v**5\/60 - v**2. Let g(r) be the second derivative of -r**3\/2 + 3112*r. Calculate n(g(s)).\nAnswer: -171*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5022*v - 4942*v + 313 - 1814 = 2339 for v.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 64\/9 and 38\/11889.\nAnswer: 11889","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 62, 12, 28?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1258979?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4998, 9.1, -0.052?\nAnswer: -4998","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 22*x + 30*x - 145*x + 2325 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 227\/150 + -1\/75. Let b(q) be the first derivative of k*q**2 - q**3 + 3*q - 3\/4*q**4 + 3. Determine m, given that b(m) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 54 - 51.6. Let j = 152.4 - 130. Let i = j + -22. Which is the second smallest value? (a) i (b) 3 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**3 - 4*g**2 - 489*g - 4427. Give p(-10).\nAnswer: -1937","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -9 - ((-29 - -3) + 7).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 221669 by -31667.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*b - s - 1, -4*b + 4 = 2*s. Suppose 0 = -3*k - b*w + 124, 2*k + 3*w - 23 - 63 = 0. What is the greatest common divisor of 70 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (7 + -17 - -9)*0. Let v = -1.24 - 3.76. Let m be (-45)\/(-6)*2\/3. Which is the fourth smallest value? (a) q (b) v (c) 0.2 (d) m\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/6)\/(13\/39*-129)?\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 34*w - 754. What is v(25)?\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 5, b: 10, w: 4}. What is prob of sequence wwb?\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-2\/11)*j**5)\/(j**(-1\/2)\/j**(-1\/3))*(j*j\/(j*j**(1\/5)*j*j)*j**(-4\/7))\/(j**(2\/21)\/j*j*j**5) assuming j is positive.\nAnswer: j**(-207\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -14*j. What is the tens digit of g(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 12\/(-2)*2\/(-4). Suppose 2*d + 2*n = 72, 0*n - 2*n = 8. Suppose -5*m - i = -6*i - d, -4 = -5*m - 4*i. Which is smaller: x or m?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minutes after 11:33 AM?\nAnswer: 11:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.2 and 185289831.\nAnswer: -37057966.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (4*-1 - -2)*2. Let p = 1 + 3. What is the second smallest value in p, a, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three eighths of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-3)\/6)\/(1\/(-92)). Suppose 2*m + 15 + 5 = -3*s, 0 = -4*m - 3*s - w. Let i = -8 - m. Solve i*p + 11 = -2*x, -2 = 2*p + 2*x - 0*x for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -25.94469 and 0.1.\nAnswer: -25.84469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 37593 to the nearest integer?\nAnswer: 194","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0002044 rounded to 5 dps?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (640 - 547) + -72 + -2?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 100845988 - 100845988 - 6*d.\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39 + 147*w**2 + 284*w**2 - 39.\nAnswer: 431*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 2 + 0 - 8 - 4*o**2 + 7*o + o**3 - 4*o**2. Let d be v(7). Let i(f) = f**3 + 7*f**2 + 3*f - 3. Let k be i(d). Solve 6*j + k = 3*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 16*r**2 + 2*r + 1. Let v be z(-1). Let l = 310 + -307. Let g(j) = -j**2 + 11*j - 12. Let s be g(9). Solve -l*b = 3*d - s*d - 3, -v = 3*d for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence yani when four letters picked without replacement from {n: 9, a: 1, y: 6, i: 3}?\nAnswer: 9\/5168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-912)\/7 + (-52)\/(-182). Let o = -165 - s. Put 3\/7, -2, o in ascending order.\nAnswer: o, -2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3594648 is divided by 13564?\nAnswer: 188","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*k + 0*k + 0*k)*(5*k**3 + 4*k**3 - 2*k**3) - k**4 - k**4 + 4*k**4 to the form o*k**4 + n*k**3 + z*k**2 + u + b*k and give o.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s + 6. Let x(a) = -a - 1. Let c(v) = -6*x(v) + y(v). Suppose 124 = 14*z + 40. What is the units digit of c(z)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*b = -13*b + 241144 + 47903. List the prime factors of b.\nAnswer: 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2\/3*f + 4\/3 - 2\/3*f**2 = 0. Calculate f.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -3, -16, -31, -54, -91, -148, -231?\n\"Answer: -h**3 + 5*h**2 - 21*h + 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 386 minutes after 2:20 PM?\nAnswer: 8:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/(2 + 6\/(-4)). Suppose -7*w + o*w = -20. Let c(i) = -5*i + i + w*i + 6*i**2. Let m(j) = -j. What is c(m(u))?\nAnswer: 6*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 985 by -5.\nAnswer: -197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, 0.3, -67640?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.23286 and 128.1.\nAnswer: 29.829366","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3171?\nAnswer: 3, 7, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = -279*w**3 + 10*w**2 - 4*w - 6. Let g(y) = 418*y**3 - 16*y**2 + 6*y + 9. Let q(d) = 5*g(d) + 8*s(d). Find the second derivative of q(l) wrt l.\nAnswer: -852*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*j + 35*j + 6 = 0. Solve -r - 3*z = -4*z + 7, -5*z = j*r - 19 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 451 or 1?\nAnswer: 451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211594 = 5*h - 3*q, -75785 = -2*h + q + 8852. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 - 9*m**2 - 10*m - 20. Let n(u) = -u**2 + u + 63. Let i be n(9). What is the units digit of j(i)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 80 = -3*v. Suppose 0 = -4*n - 5 - 3. Is (n + 3 - v) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1062\/27)\/((-2)\/(-3)). Let c = -33 + a. Is c a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + y - y)*((2 - 1 + 0)*(-10 + 4 - 3) - 4 + 1 - 2 - 3 + 6 - 4 + 3 + 1 - 3 + (-5 + 5 + 1)*(-3 - 5 + 1)) as f + a*y and give f.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9 - 6. Is 13 a factor of (-42)\/(-9)*l + -1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -76\/539 + -2\/49. Suppose v + 1 = 4. Which is the closest to 1\/2? (a) v (b) o (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y\/(y\/(y\/(y**12\/y))*y)*y**(-12)*y)**(-10) assuming y is positive.\nAnswer: y**210","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kknnnnnn. Give prob of picking 3 n.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -6460 divided by 2\nAnswer: -3230","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1344 by 28.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2.6 + 2.5. Let q = -1 - 4. Let c(y) = y**3 + 5*y**2 - y - 2. Let k be c(q). Is k not equal to t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.133 and 47?\nAnswer: -6.251","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-10) + (-34)\/(-10). Let z = i - 1. Find the first derivative of 0 + z - f**2 + 0 wrt f.\nAnswer: -2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -3*x + 15. Let g = 519 - 537. Calculate the remainder when u(g) is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*d - x, 5*x + 5 - 4 = 3*d. Let w = -0.061 + -2.129. Let o = 3.19 + w. Which is the nearest to 1\/4? (a) -3\/4 (b) o (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 16021 - 16023.2969. Let k = -1.95 - 0.35. Let h = k - u. What is h rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*g**2 + 3*g**2 - 2*g**2 + (-3*g + 0*g + 6*g)*(-4*g + 3*g + 4*g).\nAnswer: 6*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 670 minutes after 1:05 AM?\nAnswer: 12:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 54.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (-4 - -1 - 2 - 1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 39010873 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 502 minutes before 5:49 PM?\nAnswer: 9:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a + 5*y - 2183 = 0, 0 = -29*a + 31*a - 2*y - 1114. What is the hundreds digit of a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1778 + 3682. What is the hundreds digit of n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 20 = 3*v. Suppose -v*j + 186 = 58. What is the highest common factor of 96 and j?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 c when two letters picked without replacement from {c: 2, p: 1}.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*f + 13*c - 8*c = 2*f - 38, 0 = -4*f + 5*c - 38 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -a - 10*a + a.\nAnswer: -10*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*l**5 + 2*l**5 + 4*l**5 + ((-1 + l + 1)*(-1 + l**2 + 1) + 415*l + 29*l**3 - 415*l)*(14*l**2 + 4*l**2 - 8*l**2).\nAnswer: 306*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r + 3 = 3*k, 153*r - 150*r + 5 = 4*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 14 - 13.8. Let n(x) = x - 3. Let l be n(0). Let d = 1 + -0.9. Which is the nearest to d? (a) 2\/9 (b) l (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/35987 and -72\/3395.\nAnswer: 179935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 247162*c**4 - 4*c**3 - 12*c - 19546779 wrt c?\nAnswer: 988648*c**3 - 12*c**2 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -603307, -603321, -603335?\n\"Answer: -14*i - 603293","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 18, 3, 2, 0 in descending order.\nAnswer: 18, 3, 2, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22*g - 3*b = -19*g - 18, -2*g = 16*b - 68. Solve 6*q = 5*u + 8*q + 31, -6 = g*q for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.1 or 8.79?\nAnswer: 8.79","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -15.1 and 0.4.\nAnswer: -6.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m = -5*f + 25, f - 13 = -2*f - m. Let a = f - 4. Solve 3 - 7 = -a*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(132) + sqrt(132) + sqrt(132) + 3*-4*sqrt(132) + sqrt(132))\/((sqrt(120)*2 + sqrt(120) - sqrt(120) - sqrt(120))\/sqrt(10) + sqrt(12)))**2*1*1.\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 21647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/5, -417.7, 2\/27, 28?\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -141221600 to the nearest one million.\nAnswer: -141000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(272)*1*6 - (-5 + sqrt(272) + 2) - (2*sqrt(272)*2 - 3*sqrt(272)*2))*-4)**2.\nAnswer: 2688*sqrt(17) + 213392","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (1 - (-2)\/4)*(-1060)\/15. Let x = c + 149. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6350 (base 9) to base 11.\nAnswer: -3559","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**15*p**(-1))\/((p*(p\/(p\/p**(-15)))\/p)\/(p\/((p**0\/p)\/p))))**(9\/5) assuming p is positive.\nAnswer: p**(288\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 15*x**3 + 6458*x**2 - x - 864120 wrt x?\nAnswer: 90*x + 12916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 619 is divided by 70?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -s**2 - 2958*s + 17719. Calculate m(6).\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + -8 - -3)*(-2)\/(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15260 = -837*h + 269*h - 3484. Which is the nearest to 0? (a) h (b) -9\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*u**2 + 15*u**2 - 19*u**2.\nAnswer: u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:04 AM and 12:09 PM?\nAnswer: 485","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1730?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/3, -4, 1\/3, -6\/11?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 736 and 4064?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 355890 - 1?\nAnswer: 355889","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -8222*d. Let s(h) = 2*h. Determine g(s(w)).\nAnswer: -16444*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -m**2 + m. Let x(z) = z**2 - 47*z - 14. Let j(o) = 16*o + 5. Let i(d) = 17*j(d) + 6*x(d). Let s(q) = i(q) + 5*v(q). What is the units digit of s(5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/3*1*-9. Let b(z) = -z**2 - 9*z + 3. Let p be b(o). Let c = 7.38 - 7.28. Put 8, p, c, -4 in descending order.\nAnswer: 8, p, c, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 22. Suppose 66 = 5*b - 2*b. Calculate the remainder when b is divided by y.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*x - 101 + 38 = -2*p + 153, 7*x + 2*p - 28 = 5*x + 2 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -81*x**2 - 814*x - 831. Determine t(-9).\nAnswer: -66","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 7071*a - 12604. Determine t(2).\nAnswer: 1538","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 211482 = 25*h - 373511 - 114132. List the prime factors of h.\nAnswer: 5, 7, 17, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1469 is divided by (-3)\/(15\/55) + 50.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzphhsszzszzh. Give prob of sequence sp.\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36 is divided by 25.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.01 (b) -2.1 (c) -1352\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 362 divide 451653022?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 295 - 49 = 123*d. What is the smallest common multiple of 3349 and d?\nAnswer: 6698","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 50*b = 838 - 188. Solve -34 = -b*w + 30*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1366909*z**3 - 2090885*z wrt z?\nAnswer: 8201454*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (29\/56)\/(22\/92). Let v = 25\/11 - k. Let b = -1\/28 - v. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 1, f: 2, c: 2, w: 1, d: 1}. What is prob of picking 1 f, 1 b, and 1 d?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2488 + 3127 + 1287 = -493*f for f.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 6*x - 33. Let f be v(10). Let u be 6\/f - (-136)\/36. Solve -4*s = -u*y - 0*y - 32, -5*y = -s + 24 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -15081 - -15081.2. Sort -2085, v, 1 in ascending order.\nAnswer: -2085, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 4592*c**3 - 7*c**2 + 57*c - 71. Is a(3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*j**3 + 209*j**3 + 57*j**3 - 3 + 2 in the form k*j**2 + g*j + q + d*j**3 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 55 - (45 + 37 + -42)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 9953 - -429. Is 4 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 - -22.99268\nAnswer: 14.99268","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*o - 1486 - 1544 = 119*o for o.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 8801 less than 2?\nAnswer: -8799","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8178.758271 + -8178.8. What is m rounded to three decimal places?\nAnswer: -0.042","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:53 AM and 5:02 AM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q + 4828 = -8*q + 4936 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xxxxcqcqqxq. What is prob of sequence qxx?\nAnswer: 8\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - ((0 - 4) + 13)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that 32*w - 1\/4*w**2 + 65 = 0.\nAnswer: -2, 130","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1314842 equal to -1314838?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -2*p - 3. What is s(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 times -0.74?\nAnswer: 0.074","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 56*f**2 - 18*f**2 - 21*f**2 - 14*f**2.\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2076 a factor of 4474141?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z - 302. Calculate i(-4).\nAnswer: -306","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -2*a**2. Let v(l) = 15892*l**2. Determine j(v(q)).\nAnswer: -505111328*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5 or 699.3?\nAnswer: 699.3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 374 - 404. Let p(i) = 4*i**2 - i. Let u be p(1). Let z be (u + o\/12)*(-1 - 0). Which is the second smallest value? (a) 2\/11 (b) z (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) be the first derivative of -2 - 93*i + 137 + 14*i**4 - 35*i**4 + 9*i**4. Find the first derivative of h(y) wrt y.\nAnswer: -144*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 17*x**3 - x**2 - 4565*x + 4565. Calculate i(1).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (-486 - -501)*26\/10 and 5004?\nAnswer: 65052","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1414?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 134706830 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from {g: 6, z: 1, s: 4, c: 7}?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -68 - (-19 + -80) - (5 + -1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9684 + 15316. Suppose -6*l - h = -22*l. Is 22 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -a92 + 1?\nAnswer: -a91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 155\/126546 and -27\/1403.\nAnswer: 7719306","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -127*n + 4 + 126*n + 1. Give o(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 7 - 3*g**3 - 15 - 2*g + 7. Let y be s(-1). Suppose -5*d + y = -3*d. Solve -d*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -1800*p + 1231. What are the prime factors of i(-8)?\nAnswer: 7, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 266, 506, 754, 1016, 1298, 1606?\n\"Answer: s**3 - 2*s**2 + 239*s + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001179039 to 6 decimal places.\nAnswer: -0.000118","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 33185 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tutuuttt. What is prob of sequence ttuu?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -2*a**3 - 3*a**2 + 3*a + 2. Let c(j) = -5*j + 5. Let w be c(2). Let h(u) = -4*u**3 - 5*u**2 + 5*u + 4. Determine w*m(l) + 3*h(l).\nAnswer: -2*l**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(1\/2))**(1\/34)*(t**13\/t)\/(t*t\/(t\/(t**(-3\/8)*t))) assuming t is positive.\nAnswer: t**(1413\/136)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1432 - 4130\/3. Let n be (-6 - -1)*(-1 - 41\/6). Let q = x - n. Calculate the common denominator of q and -81\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v - 228 = -3*v + 4*n, -3*v - 3*n = -159. Find b, given that -5 + v + 719*b - 542*b + 7*b**2 = 0.\nAnswer: -25, -2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2814 is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-286)\/182)\/(3\/21)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -38 - 43 = -0*y + y - 8*w + 4, w = -y - y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 2*i**2 + 20*i + 34. Let n be q(-7). Let g = n + 40. What is the greatest common divisor of g and 96?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-45)\/6*(-12)\/(-8)*(-15)\/75?\nAnswer: 9\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 25 = -4*d + 4*c, 56 = 3*d - c. Differentiate -95 + d + 126*a - 49 - 44*a + 5 with respect to a.\nAnswer: 82","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10001012000100 - 100?\nAnswer: -10001012000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -12350, 28, -14, -1 in increasing order.\nAnswer: -12350, -14, -1, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4985 is divided by 4818?\nAnswer: 167","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zzcz when four letters picked without replacement from {z: 6, c: 8}?\nAnswer: 40\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*o**5 + 4*o**4 - 4*o**4)*(5 - 3 - 3) + 4*o**5 - 4*o**5 - 5*o**5.\nAnswer: -3*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f = 3*w - 5353333 - 29056663, 4*w + 2*f = 45880008. Round w to the nearest one million.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -i**3 - 9*i**2 - 12*i + 12. Determine v(-4).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 14\/(-42) + 754\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 0*d - 3*w + 21 = 0, -w + 13 = 3*d. Let q(t) = t + 3. Let s be q(-2). Factor s + 5*b - 7 - d*b**2 - 14*b.\nAnswer: -3*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0 + 3. Let o = -0.03333 - -0.05333. What is the second biggest value in c, -1, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 182093 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 18.1258 - 3.5248. Round x to one decimal place.\nAnswer: 14.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = -2*z**2 + 715*z + 20316. What is n(384)?\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 20, -105, -396, -919, -1740?\nAnswer: -2925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(396) + 2*(sqrt(396) - sqrt(396)*1) + 5*-2*sqrt(396))*3*-2 + -5))**2.\nAnswer: -81000*sqrt(11) + 28869025","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 574 + -111. List the prime factors of z.\nAnswer: 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1145251 divided by 6?\nAnswer: 1145251\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (12\/132)\/((-40)\/(-55))?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -481 + 487. Let u(q) = -q + 8 + 1 + 2*q. Is u(a) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 11647 - 11642. Solve 0 = j + 4*m + 9, q*j + 11*m + 23 = 13*m for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z + 7 = 3*t, 0 = 3*z - 33*t + 37*t - 32 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 53 - 31. What is the remainder when 42 is divided by o?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126 > 0.02?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + (sqrt(720) - (-1 + sqrt(720)) - sqrt(720)) + 1)**2 - ((sqrt(60) + sqrt(180)\/sqrt(3))\/sqrt(12) + sqrt(5) + (4 + -2 + sqrt(5))**2 + 2).\nAnswer: 17*sqrt(5) + 710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 61875113 to the nearest integer?\nAnswer: 7866","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rdo. Give prob of sequence dr.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3527, -3591, -3707, -3875, -4095?\nAnswer: -4367","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6589 - 2422 - 4*v - 4167.\nAnswer: -4*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -3 - 4*b**2 - 3*b**3 - 1 - 1 + 2*b**3. Does 10 divide o(-5)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111179 is divided by 4631?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 284017457 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -q**3 - 4*q**2 - 3*q. Let m be o(-3). Suppose -d - 14 = -m*d - 4*c, -75 = 3*d - c. Let g = -22 - d. What is the units digit of g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**5*s**(2\/13))**(-39) assuming s is positive.\nAnswer: s**(-201)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 2*r**3 + 3*r**2 + 15*r + 17. Let t be w(-5). Which is bigger: -232 or t?\nAnswer: -232","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1568 is divided by 360.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -4, 4\/143, -5.\nAnswer: -5, -4, 0, 4\/143","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 12.1, 5, -3.82, 4?\nAnswer: -3.82","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 646 minutes before 1:57 AM?\nAnswer: 3:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) be the second derivative of h**5\/2 + h**4\/2 + 4*h. What is the third derivative of x(i) wrt i?\nAnswer: 60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of n**5\/60 - n**2. Let s(t) = -18 + t**2 + 44 - 34 - 2*t**2. Calculate s(d(i)).\nAnswer: -i**4 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111*h**2 + 9*h**3 + 3*h**3 + 112*h**2.\nAnswer: 12*h**3 + h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-0.12406.\nAnswer: -0.049624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6901454?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 16) to base 11.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3427725 by -201.\nAnswer: -1142575\/67","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000062537 rounded to 7 dps?\nAnswer: 0.0000063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4649270?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -21 (base 10) to base 7\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 100 + -3?\nAnswer: a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ii when two letters picked without replacement from iiiviiviivv.\nAnswer: 21\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 1 + sqrt(44).\nAnswer: -4 + 2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1631468235?\nAnswer: 3, 5, 108764549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 327*i - 1081. What is h(3)?\nAnswer: -100","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -87347151 or -611430054\/7?\nAnswer: -611430054\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 40524 + -5590309.\nAnswer: -5549785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2. Let u(h) = -14*h**2 - 4*h. Let f(r) = 153*r**2 + 45*r. Let k(c) = 4*f(c) + 45*u(c). Calculate j(k(x)).\nAnswer: 648*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -3 - 0 - 20\/2. Let a = 15 + o. Calculate the smallest common multiple of a and 9\/(2\/(0 - -2)).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (78 - 6*j**2 - 78)*(-22*j**2 - 129*j**2 - 302*j**2) as y*j**2 + z*j + u + x*j**3 + s*j**4 and give s.\nAnswer: 2718","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Let u be (20\/(-2))\/(3\/(-5091)). Round u to the nearest one thousand.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71039402 divided by -16886\nAnswer: 4207","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -8 - -13. Suppose 0 = -h*j + t - 4*t + 22, t - 14 = -5*j. Suppose 0*o = -j*o + 24. Calculate the highest common factor of 48 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - q - 32*q)*(11*q**3 + q**3 + q**3).\nAnswer: -429*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 106531313 to the nearest integer?\nAnswer: 10321","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/4 of a litre?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 6845?\nAnswer: 6841","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.197 equal to 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 111001011110011 (base 2) in base 9?\nAnswer: 44326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8496 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 7487, 7499, 7549, 7661, 7859, 8167, 8609?\n\"Answer: 4*j**3 - 5*j**2 - j + 7489","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -77543 divided by -4\nAnswer: 77543\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + (sqrt(72)\/(sqrt(24)\/sqrt(3)))\/(sqrt(3) + (sqrt(3) + ((sqrt(36) - -1*sqrt(36))\/sqrt(12) - sqrt(3) - sqrt(3)) - sqrt(3))))*4.\nAnswer: 4*sqrt(3) + 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 391?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m**3 + 0 + 0)*(-3 + 0 + 0)*(-85*m**2 - 97*m**2 + 152*m**2).\nAnswer: -450*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (28 - 39 + 18)*(-2 + 4 - 1)*(-6*o - 3*o + 7*o).\nAnswer: -14*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -0.2, -39603, 2, 1, 0.4?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*j**5 + 2586*j**4\/13 + 6206*j**3\/13 - 258*j**2\/13 - 6232*j\/13 - 2328\/13 = 0. Calculate j.\nAnswer: -97, -2, -1, -6\/13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (23 - (-407)\/(-22))*(-1 + (-461)\/(-9)). Do 909\/4 and j have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21 + 1001?\nAnswer: 1022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3 = -988*a + 991*a + p, a + 21*p = 247 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40740, 81508, 122276, 163044, 203812?\nAnswer: 244580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 420413005?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.23 - 103.77. Let f = m - -104. What is the third biggest value in 0.5, -1\/3, f, -8?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, 2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -14*(-320)\/8064*(-18)\/60?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of g**5\/120 + 7*g**4\/24 - g**3\/3 + g. Let v(j) be the second derivative of a(j). Let c be v(-5). Which is smaller: 1 or c?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1013301 + -131?\nAnswer: 1013110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 43338521 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 2\/8 - 74\/8. Let h = 13 + t. Suppose 0 = h*j + 5*u - 15, -2*u + 0*u = 5*j - 40. What is the remainder when 67 is divided by j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f + 3*f - 1 + 0. Let p(t) = -t**2 + 6*t + 2. Let i be p(6). What are the prime factors of v(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -538, -1926, -3314, -4702, -6090?\n\"Answer: -1388*n + 850","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) be the third derivative of w**4\/24 + w**3\/6 - 6*w**2. Let o(a) = -a - 1. Give -3*o(m) - 2*p(m).\nAnswer: m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 100 a factor of 7200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the third derivative of -u**4\/4 + u**2. Let s(l) = 9*l**2 - 5. Let y(m) = -5*m**2 + 3. Let p(i) = -3*s(i) - 5*y(i). What is p(r(t))?\nAnswer: -72*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 65356702?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k*k**(1\/6)*k*k*k*k*k**(1\/7)*(k\/k**6)**(-29) assuming k is positive.\nAnswer: k**(6313\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in -2, 0.09, 4.5?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 115*i**4 - 237*i**2 - 24*i + 43 wrt i.\nAnswer: 1380*i**2 - 474","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 290226758?\nAnswer: 2, 331, 438409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -z**2 + z + 1. Suppose 0 = 4*h + 4 - 0. Let x be w(h). Let d be 2 + (-2 - x) - -3. Let y(k) = 2*k + 2. Calculate y(d).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -16 + -25 + 24 + -2244. Is -2261 greater than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-2 - (-1 - 2)). Let n(o) = -8*o + 1. Let y be n(s). Let u = 252 - 133. Calculate the greatest common factor of y and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -3*m, 0 = -o + 3*m + 11. Suppose 0 = 3*c - t - 2*t - 72, 28 = o*c + 3*t. Calculate the remainder when c is divided by 1*14*1\/2.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25561, 102127, 229729, 408361, 638017, 918691, 1250377?\n\"Answer: -y**3 + 25524*y**2 + y + 37","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1772802)\/(-2831) + 8\/(-38). Is 629 <= j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(-4 + (sqrt(2) - (sqrt(20)\/sqrt(90))**2) - -5*(sqrt(2) - (sqrt(2) + (-2*sqrt(4))\/sqrt(2)))).\nAnswer: -76\/3 + 66*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, -3158, 3, 4 in descending order.\nAnswer: 4, 3, 1, -2, -3158","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 7*i**2 - 2*i**2 + 57*i**3 - 10*i**3 - 4*i**2 to the form x*i**3 + d + t*i**2 + p*i and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 2\/9 (b) 0.7 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - -0.475.\nAnswer: 0.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o and 2 t when four letters picked without replacement from ootto.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/448 less than or equal to -5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t\/(t*t**(-1)))**(-36)\/(t*t**(1\/3)*t*(t\/t**(-2\/21))\/t))\/((t**(-1))**(-28\/5)\/(t**0*t*t)**(-44)) assuming t is positive.\nAnswer: t**(-5881\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, b: 2, m: 1, t: 1, c: 1, o: 1}. What is prob of sequence bt?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppmzztzpmtp. Give prob of sequence pm.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1 - 1)*((-21)\/9)\/(-7). Solve 0 = 3*v - 5*s - q*s - 19, -3*s - 7 = -4*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) 30 (b) 0.5 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 80787403 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3570 and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.082 * 10929.04.\nAnswer: -896.18128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1303741 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Total of -0.196 and -0.6.\nAnswer: -0.796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -78 in 1\/2, -0.5, 5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 39 + -43. What is the remainder when (-5 - 0\/q) + (4 - -74) is divided by 38?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7 + 7.4. Let y = -4 - -9. Let g = -5.05913 + 0.05913. What is the closest to -2 in w, g, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 157801630?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from anjjjss. Give prob of picking 1 n and 1 j.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 40*v - 184 = 17*v. Let f be 2 + (0\/1)\/(-1). Solve f*l + v = 6*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 2194, 2186, 2178?\n\"Answer: -8*f + 2202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153268953?\nAnswer: 3, 19, 2688929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2 - (-4 - -4))*1. Let k(g) = 15*g**2 + 9*g**2 - 17 + 2*g**a. Let c(r) = 9*r**2 - 6. Determine -17*c(o) + 6*k(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -8037, -16075, -24113, -32151?\n\"Answer: -8038*d + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 4.039682 litres?\nAnswer: 4039.682","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((0\/(-2) - 0)\/(-1))\/(-1). Let j(i) = -i**3 + 5. Determine j(t).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*p**4\/7 - 424*p**3\/7 - 30792*p**2\/7 - 881920*p\/7 - 8652800\/7.\nAnswer: -2*(p + 26)**2*(p + 80)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 357232 to the power of 1\/3, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3\/4 - 185*v**2\/2 - 19277*v\/4 + 4912.\nAnswer: -(v - 1)*(v + 64)*(v + 307)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 5323*v - 3 = -5320*v, -7*y - 2*v - 12 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14882, -32496, -50110, -67724, -85338, -102952?\nAnswer: -120566","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 129 + 37*q**3 - 129.\nAnswer: 37*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -m**3\/4 - 289077*m**2\/2 - 20890944360*m + 125350869600.\nAnswer: -(m - 6)*(m + 289080)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*r - 153 + 32 + r**3 - 281 in the form y*r**2 + l*r**3 + h*r + t and give l.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8138036 rounded to one decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q + 5*q - q)*(-q + 4*q - q)*(0 + 5 - 3) - 13 + 13 + 6*q**2 + q**2 + 1 - 1 + (4 - 4 + 2*q)*(3*q + 4*q - 5*q) as w*q + j + z*q**2 and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -35cec2b6 - 2?\nAnswer: -35cec2b8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -54719 divided by 7817?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (((0\/2)\/1)\/1)\/((-324)\/108)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 g when three letters picked without replacement from {v: 1, g: 14}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 10389560?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60 = 67*d - 7 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than or equal to -26\/77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 263\/5 - 52. Which is the nearest to 2? (a) 3\/4 (b) g (c) -2 (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1522 + 2709. Does 23 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 3*t. Let v(a) = a**2 + 1. Let g(n) = -8*n**2 - 7. Let k be 6 - 13 - (2 + 4*-1). Let s(w) = k*g(w) - 35*v(w). What is p(s(d))?\nAnswer: 15*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qztgtzzgq. What is prob of sequence zqg?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -58253, -116178, -174103?\n\"Answer: -57925*i - 328","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245383, 245387, 245401, 245431, 245483?\nAnswer: 245563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -6*j + 7*j**4 - 81*j**4 - 5*j + 198 - 18*j + 27*j wrt j?\nAnswer: -296*j**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11351223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out 905 * 4.\nAnswer: 3620","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 16\/(-132)*(-6)\/4. Let f = -770\/31 - -8408\/341. Which is the closest to 1\/2? (a) f (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 301265 + -301262.90019. Let v = -41 + 43.1. Let q = v - r. Round q to 4 decimal places.\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 4*z**2 - 7. Let l(g) = 207*g + 615. Let y be l(-3). Let p = -4 - -6. Let j(a) = a**p - a**2 + 2*a**2 - 3. Calculate y*b(i) + 14*j(i).\nAnswer: 4*i**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 18841 and 83.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/935, 0.2, -3 in descending order.\nAnswer: 0.2, -6\/935, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 53*t - 2. Let p(h) = -18*h + 1. Calculate -9*p(b) - 3*y(b).\nAnswer: 3*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 49, -5, -28, 8 in increasing order.\nAnswer: -28, -5, 1, 8, 49","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1370 - 1510 = 9*y. Suppose 422 + 271 = v. Let j = v + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 687 minutes after 12:07 PM?\nAnswer: 11:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 81888953?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 6\/11 (b) 4\/3 (c) 12926\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 55874*r + 949833. Determine u(-17).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 11:58 AM?\nAnswer: 6:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + 9*b - 9. Calculate the lowest common multiple of 2 and n(-10).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 233 (base 9) to base 3\nAnswer: 21010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3713 a factor of 306846033?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-4\/3))**(-40)\/(v\/(v*v\/v**20))**(-35) assuming v is positive.\nAnswer: v**(2155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 - 26?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of (-33 - -22) + -13 + 53735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 8424 and 231.12.\nAnswer: 1946954.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 188 divide 8084?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-11 - 2*p**2 + 11)*(2 + 2 + 3)*(p**2 - 2*p + 2*p) + 4*p**4 - 4*p**4 + 2*p**4.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 279151349 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c = -5*v - 10, 15*c + 6 = 13*c - 3*v for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*a**4 + 0*a**4 - a**4)*((21*a + 27*a + 23*a)*(3 + 1 - 3) + (3 - a - 3)*(6 + 1 - 5) + 0*a - 4*a + a).\nAnswer: 132*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 248966897 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -115 - -113. Let s = 573 + -572.6. Which is the nearest to 2\/109? (a) k (b) -1\/5 (c) s (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -92032 by -2576.\nAnswer: 5752\/161","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 66854614.\nAnswer: 2, 33427307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-24) + (-4)\/(-1 - 0). Suppose r*d - 10 - 10 = 0. What is the remainder when 22 is divided by d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27*x**3 + 5*x**3 - 19*x**3)*(1 - 2 + 0)*(0 + 0 + 2*x)*(1 - 4 + 0) in the form j*x**2 + n*x**4 + k + m*x**3 + h*x and give n.\nAnswer: -246","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 4*p - 16 - 18 = 0, 3*h + 4*p - 50 = 0. Let v be (-30)\/h - 27\/(-9). Find m, given that -2\/7 + 2\/7*m**3 + 6\/7*m - v*m**2 = 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 21648032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.5 + 2.1. Let y = 41.4 - 40. Let w = p + y. Sort w, 0.1, 2 in ascending order.\nAnswer: 0.1, 2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -14090.767 rounded to the nearest 1000?\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 6 - 11. What is the smallest value in b, -4, 3?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the first derivative of u**2 - 14*u + 12. Let v be z(7). Suppose -3*o = 2*o - 25. Sort v, o, -4 in descending order.\nAnswer: o, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3110196?\nAnswer: 2, 3, 259183","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 4157159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 103402560?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 c and 2 u when four letters picked without replacement from {q: 1, c: 4, u: 6}?\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/11, 0, 6, 1.3?\nAnswer: 1.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 2*d + 3*y, 3*y - 7*y + 10 = -2*d. Suppose -1 = -4*p + 5*c, 2*p + 3*c - 29 = -3*p. Suppose p*u = 2*o + 16, 2*u + 7 - 23 = -3*o. Sort o, -2, d.\nAnswer: -2, d, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.4*-0.3967478\nAnswer: 0.15869912","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44*w + 4*o = -49*w - 66, 3*w - 2*o = -w - 58 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0 + 3435 - (-3 - (-8 + 5))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = -j**3 - 5*j**2 - 6*j - 4. Suppose -2*s = 6, 0 = -2*x + 4*x + 3*s + 17. Let b be d(x). Solve 4*q + 2*v = 0, 0*q - b*v - 3 = 5*q for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-3 - -5 - 7 - (14 - 23)) + -7\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (1 + -158)\/((-76)\/2812)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = m**2 + 6*m - 1. Suppose -27 = 8*j - 17*j. Let x(y) = -1 + y**2 - y - 4*y**2 + 2*y**2. Let f(k) = j*x(k) - t(k). Solve f(w) = 0.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82 (base 10) in base 8?\nAnswer: -122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.4? (a) -5\/6 (b) -1\/2 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.5 in 65\/9, 0.1, 3\/7, -5, -1\/3?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -80?\nAnswer: -7d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 555138, -51, -1\/3 in decreasing order.\nAnswer: 555138, -1\/3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 2 (b) -2040 (c) -2 (d) -0.5 (e) -38\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) be the second derivative of 5*g**4\/12 + 17*g - 85. Let z(j) = -7*j - 5. Calculate z(i(s)).\nAnswer: -35*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2593 rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**3 - 9*n**2 - 13*n - 32. Let l be a(-8). Suppose -13*v + 546 = l*v. Let i(k) = -7*k. What is the remainder when v is divided by i(-2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(200) - ((sqrt(200) + 2)*-6)**2) - (4 + (sqrt(200) - (0 + sqrt(200))) + -3).\nAnswer: 5720*sqrt(2) + 29375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 4*c - 39. Calculate f(8).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3\/4, -1\/4, -0.3, -1\/869?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -1\/5102?\nAnswer: -1\/5102","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -31647.0000003349 + 31647. Round a to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10\/75*-5*1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/n**(-1)*n)**15)**(-46)\/(n**8\/((n**4*n)\/n)*(n\/n**(-1))**(-1\/28)) assuming n is positive.\nAnswer: n**(-29035\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 181.4 + -179.4. What is the second smallest value in -1, h, 1, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(204) - (6*sqrt(204)*-1 + sqrt(204) + sqrt(204)))\/(sqrt(588)*-1).\nAnswer: -5*sqrt(17)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -1\/12*y**4 + 0 - 3\/56*y**8 + 0*y**5 + 0*y**6 + 0*y**7 + 0*y**2 + 0*y**3 + 4*y. What is the third derivative of a(j) wrt j?\nAnswer: -360*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbbbbbbvbbbbbbb. What is prob of sequence bvbb?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -10 + 0 - (-34 - (-42 + 12) - -79 - 27).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -932.7 - -928.7. Sort m, -5.2, -3, -0.3 in increasing order.\nAnswer: -5.2, m, -3, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 130142977.\nAnswer: 3547, 36691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) be the first derivative of z**3\/3 - 1. Let d(x) be the second derivative of 0*x**2 + 3*x + 0 + 1\/3*x**3. Give v(d(h)).\nAnswer: 4*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let 67*a**4 + a**5 - a**2 + 0*a + 2*a - 3*a**3 - 66*a**4 = 0. What is a?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -574 + 574.0267. Round n to three dps.\nAnswer: 0.027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 3, 0.2, -0.3, 0.4, -0.184?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8.9 (b) -3\/4 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -73289038, -73289040, -73289044, -73289050, -73289058?\nAnswer: -73289068","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1435210?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x = k - 144, -226 = x - 4*x - 4*k. Suppose 0 = -4*o + 6*o - 2, x = 2*t + 2*o. What is the tens digit of t?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.58772 rounded to two decimal places?\nAnswer: -0.59","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 16\/(-36) + 1\/((-108)\/114). Which is the closest to 1? (a) -5\/9 (b) 2 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3925 + 3926. What is the nearest to -0.1 in h, -53, 0.5, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 79031323 - 39515671 + 8*l - 39515652.\nAnswer: 8*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 3*c**2 - 12*c - 19. Give f(-5).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jnjjjjjnjnnjjjjjnjj. What is prob of sequence nnnn?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.6 + -43.8. Put -2, -0.01, 2, u in decreasing order.\nAnswer: 2, -0.01, u, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 74036882?\nAnswer: 2, 19, 163, 11953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05981801344 rounded to six decimal places?\nAnswer: 0.059818","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 146481211 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.08 (b) 16\/7 (c) 0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02386 rounded to 2 decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3115.5 + -3115. Which is the closest to -0.1? (a) 4 (b) g (c) -4.6 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4 + -6. What is the nearest to 2\/7 in d, 5, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -942 + 928. Is -137\/10 greater than or equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -1 + (8 - -1)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.3 and -7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.0763 + 0.0763679. What is u rounded to 5 decimal places?\nAnswer: 0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4 - 4) + 3 + 6.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*x + x + 4*x)*(19 + 2658*x - 1329*x - 1334*x) as n*x + d*x**2 + y and give n.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-6) - -2*3\/18. Suppose -2*f - 7 = -13. Suppose -3*r = -0*r - 2*a - 17, 2*r = -4*a - 10. Solve v + 12 = -w*q + 5*v, r*q - 9 = -f*v for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 9*i**3 + 53*i**2 + 187*i + 251. Let h = 15 + -20. Let m(z) = -22*z**3 - 132*z**2 - 468*z - 628. Let c(n) = h*m(n) - 12*o(n). What is l in c(l) = 0?\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 p, 1 a, and 2 c when four letters picked without replacement from kkckakccpk.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*l + l + 6*l)*(1 + 8*l**4 - 1) + (-l**2 - 2*l**2 + 5*l**2)*(2*l**3 + 0*l**3 - l**3) + 2*l**5 + 2*l**5 - 3*l**5.\nAnswer: 27*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r + r - 4 = 0. Suppose 4*v + 12 = -2*c, -3*v + r*c - 13 - 7 = 0. What is the third smallest value in v, -1\/3, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w = 0, -5*l + 2*w + 1935 = -2*l. Let b = -640 + l. Solve -3*m + 5 = -b*z, -3*z - 4*m + 0 + 26 = 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 PM and 4:02 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1426)\/2139)\/(2\/9)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-20)\/6 - 6\/9. Let t be (n\/10)\/((-4)\/200). Suppose -d = -5*m + 20, 2*m - 7*m + t = d. Solve d*c = c + q + 1, -5*q = -15 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*q**3 + 4*q**3 - 14*q**3.\nAnswer: -18*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-6)*m)\/m**(-2)*(m*m\/m**(-1\/2))**(-2\/61) assuming m is positive.\nAnswer: m**(-188\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11\/236 - -593\/2596. What is the closest to 0.3 in 4\/5, g, -2, -0.4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of -842*(-24)\/(-8)*12\/(-8)?\nAnswer: 3, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 268 or 269?\nAnswer: 269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 4571 and -206777204.8?\nAnswer: 206781775.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h + 191 = -29*w + 9*h, h + 2*h - 40 = -18 + 23 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 555016 by -212.\nAnswer: -2618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 47 + -45. What is the first derivative of 11*t**z - 14*t**2 - 12 - 2*t**2 - 5*t**2 wrt t?\nAnswer: -20*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 15.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pyyloay. Give prob of sequence yo.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y + 46 = 2*h - y, 19 = h + 2*y. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/12, -0.14, -24486 in ascending order.\nAnswer: -24486, -5\/12, -0.14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, k: 1, t: 1, w: 1, b: 2, a: 1}. What is prob of picking 2 a?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 24 (base 9) to base 10.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 15\/(-315)*(0 - -3). Let m = -8 + 5. What is the third biggest value in m, 1\/20, -5, d?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3898044012 to the power of 1\/3, to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -4, -216, 0, -5 in descending order.\nAnswer: 4, 0, -4, -5, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 4544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4259 is divided by 821?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*o + 17*o = -25*o + 112. Solve 5*i - 175 = 4*x - 163, 0 = -o*x + 4*i for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) be the first derivative of -2*a**5\/35 + 4*a**4\/7 - 4*a**3\/7 - 40*a**2\/7 - 50*a\/7 + 24. Factor t(g).\nAnswer: -2*(g - 5)**2*(g + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -46*n - 27*n + 99*n + ((n + 3*n - 3*n)*(-4 + 0 + 5) + 0*n + n + n)*(-3 + 0 + 1)*(-2 + 4 - 3) in the form d + o*n and give o.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand 7*x**3 + 3*x**5 - 7*x**3 - 6*x**5 - 3*x**5 + 2*x**5 + (-x + 4*x - 2*x)*(-3*x**4 - 3*x**4 + 5*x**4).\nAnswer: -5*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-27*l**2 - 33*l**2 + 26*l**2)*(-2 + 0 + 4).\nAnswer: -68*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the third derivative of 5*m**6\/24 + 9*m**4\/8 - 27*m**2. Find the second derivative of q(l) wrt l.\nAnswer: 150*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 6 - -6) + (4 - 9) - -16.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 5*z - 69 = 0. Let q = z + 4. Let c = q + 33. Calculate the remainder when c is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -54*w - 48*w = -102. Put 187, w, 5 in increasing order.\nAnswer: w, 5, 187","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -916637, -1833095, -2749567, -3666059, -4582577?\nAnswer: -5499127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*c*v**5 + 14*c*v + 2*v**6 + 21*v**4 + 2*v**2 + 5*v wrt v.\nAnswer: 180*c*v**2 + 240*v**3 + 504*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -146.2 in 4, 0.5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7002?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*v = 2*r - 31, 12*r - 7*r - 10*v + 9 - 50 = -9*v for r.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 13.05323 and -51.798094?\nAnswer: 64.851324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kkrcrrcrrkrtrc. What is prob of picking 2 r?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + s + 153 = 386, -3 = -s. What is the closest to -9 in 0.5, -0.3, c, 0.1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) 46\/15 (b) 1\/7 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 11298 + 2?\nAnswer: 1129a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54 + -19. Calculate the least common multiple of 45 and k.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-21 - (1 + 1)) - 7 - 5?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t = -0*t - 25, i = -4*t - 4. Suppose -2*v = 4*u - 198, u + 5*v - 67 - 5 = 0. What is the remainder when u is divided by i?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5\/2*z**2 - 75\/2 + 35*z.\nAnswer: 5*(z - 1)*(z + 15)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 29 - 86\/3. Which is the nearest to d? (a) 2\/3 (b) -4 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2 + 2. Let n = x - 3.88. Let y = -0.264 + n. What is y rounded to two decimal places?\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 8*z - 10 = 3*z, -3*c + 3*z - 6 = 0. Suppose 3*a - 5*s - 88 = c, 3*a - 5*s = -2*s + 96. Is a a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the first derivative of 5*v**5\/4 - 5*v**4\/2 + 2*v**3 + 27*v**2\/2 - 87. Let g(h) be the second derivative of d(h). Factor g(n).\nAnswer: 3*(5*n - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10*j**3\/3 - 4*j**2\/3.\nAnswer: -2*j**2*(5*j + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (2\/(-4))\/(2\/4). Let q be (-31)\/105 - (-27)\/63. Which is bigger: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -702 + 707. Let h be (-8)\/(-4) - 2\/2. Let j be (-1 - -3)\/1*h. Solve -6*d + j*d + 30 = -a*p, -2*p - 9 = -d for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1.1836627 to 1 dp.\nAnswer: -1.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -x + 0*x + 9 - 3*x.\nAnswer: -4*x + 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Total of 895 and -0.014.\nAnswer: 894.986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 161, 130, 93, 56, 25, 6?\n\"Answer: g**3 - 9*g**2 - 11*g + 180","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 18024671\/12352 - 15\/12352. Let s = -1443 + t. What is the common denominator of s and -70\/3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (48\/(-90))\/(1\/(20\/(-8)))*6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 3*x + 4. Let l(b) = -15*b - 21. Give 4*l(k) + 21*n(k).\nAnswer: 3*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.09 - 4.91. Let y = 4.9 - 0.9. What is the second biggest value in y, 0, u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1568\/(-12 + 26) + -2 + 2. Solve -27*u = u - n for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2347.381 litres in millilitres?\nAnswer: 2347381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 185 in 3, -3\/44, -2\/9, 0.739?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 12095 and -12252247?\nAnswer: 12264342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9644904?\nAnswer: 2, 3, 97, 1381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = -4*d - 3*m + 39, -m = -1. Suppose 12 = -6*t + 3*t, -3*t = -2*k - d. Let l(q) = 2*q - 5. Let x(r) = -9*r + 24. Give k*l(s) - 5*x(s).\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 - 3 - (5 - 11)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 9, b: 3}. Give prob of sequence bb.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-261)\/(-435) - (1176\/(-385))\/(-6).\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 262, 1879, 6208, 14605, 28426?\n\"Answer: 226*v**3 + 35*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -6703*g + 53627. What is h(8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -t**2 - 26*t + 167. Let a(z) = -2*z**2 - 40*z + 249. Let j(f) = -5*a(f) + 8*u(f). What is the first derivative of j(s) wrt s?\nAnswer: 4*s - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4026 and 4253733?\nAnswer: 518955426","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 k when two letters picked without replacement from ekv?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -16, -23, -32, -43, -56?\n\"Answer: -d**2 - 2*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -45*r**5 + 2 - 73*r + 20*r - 1 + 125*r**5 + 89*r**5 wrt r?\nAnswer: 3380*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 18\/12*4\/3. Let s(d) = -d**3 + 2*d**2 + 2*d - 2. What are the prime factors of s(y)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.8 times -0.0748655?\nAnswer: -0.1347579","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 2092 - 8467\/4. What is the common denominator of y and 1\/(-5)*(-16125)\/(-1200)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 11158 and 58?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10655, -43108, -97217, -172976, -270379, -389420, -530093, -692392?\nAnswer: -876311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8 + 9)*-6)\/(1 - 2).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/((-70)\/8*10\/(-50))\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 522555 (base 9) in base 3?\nAnswer: 120202121212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 62773 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor y**3\/5 + 77814*y**2\/5 + 124480*y - 3734688\/5.\nAnswer: (y - 4)*(y + 12)*(y + 77806)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 114 * 3\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qcydyqqlbyc. Give prob of picking 2 y.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 684 + -594. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ttt when three letters picked without replacement from {t: 9, s: 10}?\nAnswer: 28\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 699 is divided by 49.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*y - 13*y = 5*y + y + 2701 for y.\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6455, -25744, -57879, -102848, -160639, -231240, -314639?\n\"Answer: 2*v**3 - 6435*v**2 + 2*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the second derivative of 0*r**5 + 0 + 0*r**2 + 3\/5*r**6 + 3\/2*r**4 + 0*r**3 - 18*r. Find the third derivative of x(o) wrt o.\nAnswer: 432*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -753334*o + 3 = -753332*o + 3*c, 0 = -5*o - 5*c for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1275 is divided by 1270?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*q**2 + 13 - q**3 - 13 + 3*q as g + t*q + a*q**3 + f*q**2 and give a.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1186.\nAnswer: 2, 593","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -10573537*i**4 - 3*i - 1193641 wrt i.\nAnswer: -126882444*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1018353748 take away -1.5681?\nAnswer: -1018353746.4319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 235*x = 25*y + 236*x + 36, 0 = 6*y + 4*x - 44 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -6, -31, 0, -110, 1 in ascending order.\nAnswer: -110, -31, -6, -2, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s - 4. Let u(b) = -b - 4. Let a(f) = -3*h(f) + 4*u(f). Determine a(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-13)\/26)\/(2\/4).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 39 + -43. What is the units digit of n\/(-6)*(-612)\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33036\/181698 + 1488\/(-8426)?\nAnswer: 2\/383","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 322154450.\nAnswer: 2, 5, 47, 137087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 8607114*f*l**3 + 21893*f*l - 13*l wrt l?\nAnswer: 51642684*f*l","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: Let t = -572 + 574. Let x = 0.748 + -0.048. Which is smaller: t or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-5)\/(-3))\/(1\/3). Suppose 80 = -u + d*u. Solve w + u = -3*w for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**3 - 2*g**2 - 3*g - 1. Let o be w(-2). Solve 3*q = 4*c - 2, -3*q = o*c - 0*c - 16 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.672033 months in years?\nAnswer: 1.80600275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n = -0*n + 20, -4*n = i - 89. Let s be ((-2)\/(-21))\/(i\/(-161)). What is the third smallest value in 5\/4, 2, s?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l + 5 - l + 11*l + 3. Is m(2) a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 420\/(-126)*(-12)\/10. Suppose 4*q - 68 = 20*n - 22*n, 0 = -3*n + d*q + 92. Solve -3 = -29*o + n*o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m**2. Let i(l) = 18*l - l**2 - 18*l - 2*l**2. Calculate a(i(o)).\nAnswer: 18*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -14\/25, -6, -2\/83, 0.1, 0.3, -4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/((-14)\/(63\/9)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(6) + sqrt(18)\/(sqrt(3) - sqrt(3)*2))\/(sqrt(32)*1) - ((sqrt(3600)*2 - sqrt(3600)) + sqrt(3600))\/(sqrt(1200)\/sqrt(4)).\nAnswer: -4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 43896, -4, 145?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3 - -3. Let q be (17\/(-3))\/(o\/(-108)). Let b = -71 + q. Is 12 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 30*l - 32. Let x be z(3). Suppose 0 = 3*t + t + 3*k - 194, x = t - 4*k. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 + 11 + 9 - -5.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-60)\/2730*(-2 - 5). What is the second biggest value in -2\/93, -4, y?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 + 1275?\nAnswer: 1275","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 140*v. Let m be t(0). Solve -24*w = -m*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -49, -2, -3 in ascending order.\nAnswer: -49, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -75202654*z + 83676729 wrt z.\nAnswer: -75202654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l**5\/17 - 2*l**4\/17 - 244*l**3\/17 + 244*l**2\/17 + 242*l\/17 - 242\/17 = 0.\nAnswer: -11, -1, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -23 - -73. Suppose -p - 4*p + y = 0. List the prime factors of p.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2 + -2)\/((-9)\/3). Is 1\/30 != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in 26887.84 weeks?\nAnswer: 271029427.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -8\/11*v**3 + 6\/11*v**2 + 2\/11*v + 0.\nAnswer: -2*v*(v - 1)*(4*v + 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 15.6 + -16. Sort -0.25, -1\/5, l in descending order.\nAnswer: -1\/5, -0.25, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -48*q**2 - 5*q - 5. Let c(t) = -17*t**2 + 17*t + 197. Let u(x) = 7*x**2 - 7*x - 82. Let s(z) = 5*c(z) + 12*u(z). Give b(p) + 5*s(p).\nAnswer: -53*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = w**3 - w**2 + w - 1. Let o(j) = -4*j**3 + 5*j**2 - 5*j + 9. Let c(l) = -5*a(l) - o(l). What is the first derivative of c(h) wrt h?\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 420025745 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor g**3\/3 + 983*g**2 + 963688*g + 941926436\/3.\nAnswer: (g + 881)*(g + 1034)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 774332 - 489449. Is a 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 7534?\nAnswer: 2, 3767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 - 10*u**3\/3 + 53*u**2\/2 + 20*u. Let y be t(17). Solve d = -2*b - 2 - 8, -4*b + y*d - 12 = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - i. Suppose -2*c + 5*q = -8 - 0, i = c - 4*q - 1. Suppose 2*y + y - c = 0. Is 3 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 489916 and 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -74 + 56.8. What is k rounded to 0 decimal places?\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(8\/(-2)))\/(72\/(-96))*-10?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-2\/31)*u**(1\/5))**(2\/39)\/(((u\/(u\/u**(-4)))\/u)\/u**(1\/7)*(u**0)**32) assuming u is positive.\nAnswer: u**(72638\/14105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101111 + 10010010000101?\nAnswer: 10001111010110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 167881 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 x(w) = 1634*w + 2085. Let z(a) = 1636*a + 2094. Let y(t) = 4*x(t) - 3*z(t). Differentiate y(n) with respect to n.\nAnswer: 1628","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 104.7598 + 0.4702. Let r = 0.77 + p. Let f = 106.00176 - r. What is f rounded to four dps?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0*-166756\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 5581305 to the power of 1\/2, to the nearest integer?\nAnswer: 2362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 142949, 142985, 143051, 143153, 143297, 143489, 143735, 144041?\n\"Answer: p**3 + 9*p**2 + 2*p + 142937","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6\/(-15) + 24\/(-45)*-2. Let h = -9.6 + 0.6. Is k < h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3 + 1)*(-4*v - 3*v + 5*v) + 3955*v - 8840*v - 20422*v - 3711*v + 2342*v.\nAnswer: -26672*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 823 is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((3\/1)\/(-3))\/1.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 345091 to the power of 1\/2, to the nearest integer?\nAnswer: 587","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (1 + -2)\/(1\/(-2)) - -876. Suppose 11934 = 4*h - f. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (153\/(-1071))\/(4\/(-1820)*-5)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7989815 is divided by 293.\nAnswer: 291","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23873 + 23871. Let f = 1116 + -3574\/3. Let k = -76 - f. Which is smaller: v or k?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9*15\/9 + 315\/(-55)*-3?\nAnswer: 24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 325699879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.023 - -0.023. Which is the nearest to m? (a) 6\/5 (b) 0.04 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 17 + 7 = 0. Let b be (1 - 4) + 3\/(r\/(-16)). Is (2\/6)\/(b\/(-20139)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) be the first derivative of y**6\/6 - 305*y**4\/4 - 1327*y**3\/3 - 4441. What is the third derivative of k(b) wrt b?\nAnswer: 60*b**2 - 1830","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 17*h*s**2*v**3 + 49*h*s**2*v - h*v**4 - 2*h*v**2 - 3*v**4 wrt v.\nAnswer: 102*h*s**2 - 24*h*v - 72*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -a + 5e1?\nAnswer: 5d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 40481 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(119) + ((sqrt(119) - 4*-1*sqrt(119)) + sqrt(119) - sqrt(119)) + sqrt(119) - sqrt(119)*-1*-1)\/((sqrt(252)*4)\/(sqrt(36)*2)) + -1.\nAnswer: -1 + 3*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*p + 3*d, 0*p - 20 = 2*p + 2*d. Suppose -4*h + 20 = 3*j, 3*j = -2*j - 4*h + 20. Put j, p, 5 in increasing order.\nAnswer: p, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*p + 11*p = -15. Let m(g) = g**2 - 9*g + 8. Let q be m(6). Let j(z) = -z**3 - 4*z**2 + 5*z - 2. Let b be j(-5). Put b, q, p in descending order.\nAnswer: b, p, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/31, -1.8, 1.5 in descending order.\nAnswer: 1.5, -2\/31, -1.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = z**3 - 8*z**2 + z - 14. Give b(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -1793 times 0.3\nAnswer: -537.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a**3\/3 - 631149*a**2 - 16*a\/3 + 10098384 = 0. Calculate a.\nAnswer: -4, 4, 1893447","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3296.384 litres to millilitres.\nAnswer: 3296384","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: (820\/44 + -15 + 2028\/132)\/7\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4380, 4382, 4378, 4362, 4328?\nAnswer: 4270","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -62 + 41. Let j = 24 + u. Suppose -245 = -j*o + 169. What is the tens digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that 52*d**3 - 310*d**2\/3 + 152*d\/3 + 2\/3 = 0.\nAnswer: -1\/78, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express -112*h - 659*h - 669*h + 244*h in the form k*h + b and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -5*d**3 + 13*d**2 + 11*d + 9. Let l(x) = -2*x**3 + 6*x**2 + 5*x + 4. Suppose -10 = 2*z, 2*q = 3*q - 2*z - 7. Let j(h) = q*p(h) + 7*l(h). Give j(-2).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the third derivative of -f**5\/30 - 5*f**4\/24 - 7*f**3\/6 - 144*f**2. Give w(3).\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Product of -73 and -0.02.\nAnswer: 1.46","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11094, 22181, 33256, 44313, 55346?\nAnswer: 66349","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 8*k + 4. Let i = -8 + 4. What are the prime factors of v(i)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4826 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b = -2*h - 26, 0*h - 26 = 2*h + 4*b. Suppose -3*r - 39 = -2*m + 4, 5*m = 4*r + 62. Is h <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0\/((-8)\/(-4)))\/((-1)\/(-1)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36*(-4)\/32*(-6)\/108.\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 5*a**3*c + 32*a**3 + 3*a**2*c + 4*a**2 + c wrt a?\nAnswer: 30*c + 192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -5.8 + 6. Let c be (-4)\/(-30) - (-2)\/10. What is the closest to c in l, 2\/5, -5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**5)**(5\/16)\/(y**(-15)*y**14) assuming y is positive.\nAnswer: y**(41\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/8 of a milligram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*p**5 - 8*p**5 + 0*p**5 - 13*p**5 + 15*p**2 wrt p?\nAnswer: -1380*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + -1 + 1 + (-86 - -92).\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9665032139 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 6 - (-3 - (0 + -13))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -236, -3, 17, 5, 0, 10 in descending order.\nAnswer: 17, 10, 5, 0, -3, -236","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -60145828 divided by 4?\nAnswer: -15036457","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = o**2 + 10*o + 23. Let h be -2*(2 - 6\/(-4)). Let t be y(h). Solve -t*z + 25 = 4*b - 3, 23 = 2*z + 3*b for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 10639 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 868, 847, 826?\n\"Answer: -21*l + 889","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 8 = 3*q, -2*q - 2*z + 20 = -6*q. Let y = 9 + q. Suppose 6*a - y*a = 36. Is a a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 - s + 10. Let k = 33 + -30. Calculate the least common multiple of q(0) and k.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10 - -10. Let f(j) be the second derivative of 0*j**2 + 1\/4*j**4 + 0 + q*j**3 - 2*j. Let x(g) = 2*g**2. Determine f(x(y)).\nAnswer: 12*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 7749?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1287668?\nAnswer: 2, 19, 16943","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 266*k - 531*k + 269*k.\nAnswer: 4*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (2 + -2) - (0 - 0)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 minutes after 1:24 AM?\nAnswer: 1:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -7*w**2 - 1363*w + 4551. Give c(-198).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the third derivative of 0*q + q**2 + 0*q**5 + 1\/3*q**3 - 1\/60*q**6 + 1\/8*q**4 + 0. What is the units digit of a(-2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of -1 + (2\/10 - 264\/(-5))?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -38, 4 in decreasing order.\nAnswer: 4, 3, -38","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v + 2*v - 15 = 0. Suppose x + 1 = 0, r - 3*x + 54 - 11 = 0. Let h = r + 91. What is the highest common factor of h and v?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -115 greater than 1857?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -133 + -133?\nAnswer: -332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8\/k**(-12))\/((k*k**(2\/51))\/k**(-7)) assuming k is positive.\nAnswer: k**(610\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - a**2 + a**2 - 5*a**2 as l*a + x*a**2 + k and give x.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 336*o**2*s - 2*o**2 - 1997*o*s - 106256*o - 3 wrt s.\nAnswer: 336*o**2 - 1997*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*a + 301 + 63 = 0 for a.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1024606 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of b**4\/8 + b**3\/2 - 12*b**2. List the prime factors of n(4).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 21 and 5901?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 4664578 and 8.\nAnswer: 18658312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 5:23 PM?\nAnswer: 2:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fffffffffgffc. Give prob of picking 1 f and 1 g.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in c**3 + 3600*c + 3522*c - 7122*c - 8*c**3.\nAnswer: -7*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(((-4)\/10)\/((-119)\/(-595)))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 161, -103, -365, -625, -883, -1139?\nAnswer: -1393","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -k**4\/2 - 840*k**3 - 62757*k**2\/2 - 296381*k.\nAnswer: -k*(k + 19)**2*(k + 1642)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 2*k = -50, -5*s - 95 = 2*k + 95. Let q = 42 + s. Solve -q*l = 2*d - 7*l - 17, -3*l - 9 = 0 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2 + sqrt(304) + 4 - sqrt(304)) + sqrt(304))*4 - (sqrt(2736)*-3*-6*-6)**2.\nAnswer: -31912680 + 16*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 127 a factor of 1270?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6079 + -6010. Solve 2*t = -21*t + z for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 + -2 - -1 - -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -8*w**3 + 4*w**2 - 4*w + 8. Let h(r) = r**3 + r - 2. Let c(p) = 6*h(p) + k(p). Factor c(l).\nAnswer: -2*(l - 2)*(l - 1)*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.5932915387 to 4 dps.\nAnswer: 2.5933","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 189 a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 + 412 + -225 + (6 - (1 - (3 - 1))).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -21*f + 22*f + 11 = 3*d, -3*f = d + 13 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-120)\/189)\/((146594\/777)\/283)?\nAnswer: -20\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -4 (b) 0.29 (c) 5\/86\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 30\/(-25245)*27*(-330)\/(-45)?\nAnswer: -4\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 859\/30448 - 7\/176. Which is greater: -1 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven quarters of a century in years?\nAnswer: 675","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 13848196?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 307*w - 1221. Give l(4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -19*d - 245. What is v(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -5\/6 in -2\/9, -2\/15, 356, -0.1, -2\/39?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -17 - -6. Let k = -7 - x. What is the biggest value in -1, k, 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -z**3 - 5*z**2 - 4*z + 1. Let c be f(-4). Let k = c + 2. Solve -k*l + 6*l = -9 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 58 + -62. What is the closest to -2\/9 in -0.01, 1, -1, r?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -13eb065 - -f?\nAnswer: -13eb056","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 22 and 53636?\nAnswer: 53636","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -418*r**2 - 20938\/7*r - 2\/7*r**4 - 134\/7*r**3 + 0.\nAnswer: -2*r*(r + 19)**2*(r + 29)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**3 - 62*r**2 + 978*r - 357. What is w(13)?\nAnswer: -318","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 40 = p, 0 = 5*p + 7*g - 4*g - 200. What is the remainder when p is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:55 AM and 10:04 AM?\nAnswer: 429","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 3*d = 5. Suppose -2*y + 15 = -d. List the prime factors of y.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 30639.925 - 30457. What is r rounded to the nearest 10?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 2*d. Let t(b) = -202*b + 11. Let f(z) = -54*z + 3. Let s(a) = 22*f(a) - 6*t(a). Let h be ((-1)\/1)\/(4\/8). What is h*s(o) + 20*p(o)?\nAnswer: -8*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-3*6\/108)\/((-20)\/560)\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the third derivative of g**5\/5 + 652*g**2. Let m(u) = 2*u + 2. Determine m(z(b)).\nAnswer: 24*b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (622 - 616) + (-2 - (-1 + (-3 - -2))) + -9.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 3*p**2 + p + 12. Suppose -m - 2*b = 210 - 206, -b - 2 = 4*m. Calculate g(m).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = s**3 + 5*s**2 - 6*s + 1. Let j be m(-6). What is the remainder when -4*(81\/(-4) + j) is divided by (-14 - (-6 - -1)) + 29?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/9*-1*(-3)\/43*(-17)\/(-34)\nAnswer: -1\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1249 is divided by 66.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 1 - 1)*(2*u - 4*u + 4*u) - 5*u + 7*u + 2*u)*(4*u - 2*u - 5*u)*(3 - 3 + 2*u**2).\nAnswer: -36*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 9, 140, 5, -3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, o: 5, a: 2}. What is prob of sequence ooa?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4411019 to the nearest integer?\nAnswer: 2100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = 4*d**2 - 2*d - 1. Let j(z) = 1. Let u(b) = -2*j(b) + l(b). Let y be (0\/1 + -1)*-5. Let k(w) = -9*w**2 + 5*w + 6. What is y*u(a) + 2*k(a)?\nAnswer: 2*a**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 6 + (-6 - -15 - 20)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b + 5*c - 605 = -0*c, -4*b = c + 799. What is b rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(343) - sqrt(343)*-1) + sqrt(700)\/sqrt(4) - (-1 + sqrt(700) + sqrt(7) - (sqrt(7) - (sqrt(7) + -1)*2)))**2.\nAnswer: 42*sqrt(7) + 347","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -166 + 317\/((-3865181)\/(-2023764))\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b + 5 = 0, -y + 7*b = 6*b - 10. Solve 2*g - 2*k = 12, k = g - 3*g + y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -421, -420, -419, -418, -417?\n\"Answer: v - 422","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**0*c*c)**(-4\/3)\/((c\/c**(-2\/13))\/(c\/(c**(-2\/15)*c))))\/(((c\/c**(-1))\/c)**46*c*c*c**(3\/4)*c*c**3) assuming c is positive.\nAnswer: c**(-45061\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -264 - -264. Solve -4*w + 19 = -o, o = -w - g*w + 6 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - 0*y, -5*y = 3*l + 12. Suppose 14*k - 10*k = -4, -2*j + 4*k + 2 = 0. Let d = 8 + -3. What is the second biggest value in d, j, l?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 1219, 4861, 10933, 19435?\n\"Answer: 1215*q**2 - 3*q + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1\/(-2))\/(1\/(-26)). Let f be (v - 4) + 3 - 4. Suppose 7 + 33 = f*q. Solve -23 = -q*x - 8 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 7, 29, 89, 205, 395?\n\"Answer: 3*x**3 + x**2 - 2*x + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -102*x**2*y + 3*x*y - 2733*y wrt x.\nAnswer: -204*x*y + 3*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 - 110?\nAnswer: 1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2206.6 + 2207. Sort -5, 3\/19, a, 3\/7 in descending order.\nAnswer: 3\/7, a, 3\/19, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - (-83 - -25) - 8?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -952510 rounded to the nearest 100000?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 130 in 9, 0.5, -0.052, 1?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 610 is divided by 23?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -15377, -30760, -46163, -61586?\nAnswer: -77029","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -209799 or -209996?\nAnswer: -209799","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*s - 47 = -11 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 77 + -b?\nAnswer: 6b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 14530 = 81*v - 85*v, 0 = -3*v - 4*k + 10904. What is the greatest common factor of v and 48?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17 - -19. Solve -4 = n*g - 3*l, -3*g + 8 = g + 2*l for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3\/(-40) + 0 + (-2)\/(-10)\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 22 and 348?\nAnswer: 3828","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10\/1357 - 1387\/4071. What is the fourth biggest value in 34, -2\/33, b, 0.5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 1557 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 13 - 21. Let p = q - -7. What is the remainder when 3*(17 - (-2)\/p) is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 71948970?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 188*l + 3. Let g(a) = -753*a - 13. Give -9*d(z) - 2*g(z).\nAnswer: -186*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 12\/5 and 3\/40.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 11638\/43 + -812\/3. Suppose -5*s - 2*c - c - 2 = 0, -c - 4 = 0. Let q be s + (-5 - -3 - -1). Which is smaller: q or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(784) - -4*-3*sqrt(784) - sqrt(784))\/(sqrt(96)\/(sqrt(36)\/(sqrt(363) + sqrt(3)))).\nAnswer: -7*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -17818329, -17818323, -17818317, -17818311?\nAnswer: -17818305","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 240933264 a multiple of 40?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round 5600445.2 to the nearest ten thousand.\nAnswer: 5600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 2\/219 (b) 4 (c) 20\/9 (d) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = 41*i. Let v(p) = 3*p**2. Give v(q(l)).\nAnswer: 5043*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (1\/(186\/(-31)))\/(10\/(-5))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -37. Suppose -280 = -m*p - 4*f, 86 = 4*p - 5*f - 185. Let s = p + -18. What are the prime factors of s?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.12 - 0.03. Let k = j + -0.14. Which is bigger: k or -0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 748 - 755. Are q and -0.17 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1960)\/16464)\/(1395\/(-105) - (-10 - -1)).\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 743, 1348, 1953, 2558, 3163, 3768?\n\"Answer: 605*m + 138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*p - 10019678378 + 10019678378.\nAnswer: 15*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:10 AM and 8:27 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -219511000 to the nearest 100000.\nAnswer: -219500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.02612852 and -276.\nAnswer: -275.97387148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 63*q**3 + q**2 + 10 wrt q?\nAnswer: 378","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(2\/5))**(-21\/4)\/(v\/((v*(v**(-1\/2)*v)\/v)\/v)*v*(v*(v\/(v*v\/(v\/v**(-4\/5))*v))\/v)\/v) assuming v is positive.\nAnswer: v**(-17\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 7 (b) 3\/7 (c) -3\/5 (d) -12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 41 - 39. Suppose 14*x + 40 = 152. Suppose x*h - 54 = -h. Solve k + h = 2*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -140444 (base 6) in base 2?\nAnswer: -11001101001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 194584159?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (4*10\/4)\/(12716\/2890*25\/(-15))?\nAnswer: -15\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2785?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -29*o**3 + o**2 - 2. Let p be v(-2). Suppose -p = 4*a + 3*t, 5*t + 3 = -7. Let z be -59 + 10 + -14 + (-10)\/(-2). Is a greater than or equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 628\/7*(-13363)\/(-118358) - (-10)\/(-1).\nAnswer: 4\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -1212010 (base 3) to base 16\nAnswer: -549","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 6*y + 2*s - 20 = 0, -4*y + 5*s = -34. Determine g, given that -4*g - 6*g**5 + 10*g**5 - y*g**2 + 6*g**4 + 2*g**3 - 2*g**5 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3e8 (base 15) to base 7\nAnswer: -2414","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 328 divided by 8\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3144023 + -104?\nAnswer: -3144132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 23\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 2, g: 5}. What is prob of picking 1 k and 2 g?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 13*f + 15*f - 14 = 0, 3*f - 9 = 3*q. Let l = -17 - -12. Let k = l + 9. Solve -q = -0*u - 2*u + 4*j, -j = 3*u + k for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 336 is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 26000 and 380.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + -1 + (-46)\/62. Let u = l + 1561\/558. Calculate the common denominator of 71\/33 and u.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.05, -0.5, 4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -31 plus 120217?\nAnswer: 120186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be ((-10)\/(-15))\/((-4)\/30). Let y(p) be the first derivative of -3*p**2\/2 - 7*p - 1. What are the prime factors of y(q)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/4, 2, -20\/13.\nAnswer: -20\/13, 3\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4002252 and 160752?\nAnswer: 2364","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3424 (base 10) to base 9.\nAnswer: 4624","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -11*a**2 - 8*a + 8. Suppose -2*p + p - 4*f = -4, p - 4*f + 12 = 0. Let j be s(p). Which is smaller: j or -134?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -71 + -31 + 122 + 23.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-175888)\/(-32979)*((-90)\/6)\/(8\/2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -6, 200, 6 in decreasing order.\nAnswer: 200, 6, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -0.266499?\nAnswer: -0.266499","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 5*g - 41. Give y(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 4*o + 0*o + (-o + o - 2*o)*(2 - 1 + 0))*(-64 + 47 + 156)*(0 + 0 + 1).\nAnswer: 556*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q. Let y(o) be the second derivative of o**6\/360 + o**4\/4 - o. Let s(m) be the third derivative of y(m). What is c(s(r))?\nAnswer: -4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -103015 (base 9) in base 16?\nAnswer: -ef42","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 59156.51 hours to milliseconds.\nAnswer: 212963436000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 2*h. Let u(o) = -35*o**2 + 3*o + 13. Determine u(q(p)).\nAnswer: -140*p**2 + 6*p + 13","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = d**3 + 16*d**2 - 5898*d + 2287. Give g(69).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**5\/60 + w**4\/6 - w**3 - 16*w**2. Determine g(-6).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -495 (base 11) in base 13?\nAnswer: -363","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + sqrt(10)\/sqrt(125) - (sqrt(16)\/sqrt(72) - ((1 + sqrt(2))*6)**2).\nAnswer: 1078*sqrt(2)\/15 + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1204467\/26 + 46339. Let f = 2\/13 + n. Factor -2 - f*u**2 - 21\/2*u.\nAnswer: -(3*u + 1)*(9*u + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1.75 times 5\nAnswer: -8.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - 1. Let j(x) be the third derivative of -x**4\/24 + x**3\/6 - 129*x**2. Let r(p) = -6*p + 3. What is d*j(s) + r(s)?\nAnswer: -3*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 a and 2 w when three letters picked without replacement from aaaawawaaaaaawaaaawa?\nAnswer: 8\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -2*w**2 - 15*w + 1. Let h(n) = -n**2 - 8*n. Let g(b) = 5*h(b) - 2*p(b). Is g(-7) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(5\/2)\/l)**(2\/13)\/(l\/((l\/(l\/(l\/(l\/(l*l**(-6\/7))))))\/l))**(4\/17) assuming l is positive.\nAnswer: l**(-319\/1547)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -16935*k + 16937*k, 12 = 4*q - 5*k for q.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21441 + 113?\nAnswer: -21325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 - -127 - (2147 - 1946)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - 11*p + 2*p)*(-1 + 4 - 4)*(-2*p - 2*p + 6*p).\nAnswer: 8*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 70, -0.3, 3\/5 in descending order.\nAnswer: 70, 3\/5, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -5*j + 5*j**2 - 930*j**3 + 463*j**3 + 469*j**3 + 13*j as h*j**3 + f + o*j + k*j**2 and give k.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -q + 4. Let v be q + 2 + -1 + 0. Let w be ((-48)\/(-9))\/v + -2. Which is the smallest value? (a) w (b) -0.3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -216 by -6.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.04277 - 0.45723. Which is the nearest to -2\/7? (a) l (b) 1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 3, -2\/3, -1\/6, -0.3, 2385?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 642.897 rounded to the nearest ten?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -5 - -7. Let w = -237 - -333. Suppose 3*j = 5*s + 13 - 292, t*s = -4*j + w. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 503500.\nAnswer: 2, 5, 19, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/23 or -1\/2?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o + 15 = -3*m, -2*o = -5*o - m - 12. Let j(t) = -t + 4. Let v be j(o). Let i = 5 + v. Solve 0*a + i = 4*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) + -2)*-3 + (3*sqrt(832) + 2)**2.\nAnswer: 75*sqrt(13) + 7498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -35117*p**3 - 2228*p**2?\nAnswer: -210702","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-5)\/((-15)\/81) - 3. Suppose -q*g + 25*g - 2 = 0. What is the second derivative of 5*j - 2*j**3 + 2 - j**3 - g wrt j?\nAnswer: -18*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 3 (b) 161 (c) -1 (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((1*sqrt(112) + sqrt(112) - sqrt(112))*5)\/(5*-2*sqrt(4)) + -4*2*((sqrt(1372)*1 - sqrt(1372)) + sqrt(1372))\/sqrt(4))**2.\nAnswer: 22743","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-12))\/((-6)\/16*10)?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**2 - 39*k - 78. Let s be j(41). Solve c + 23 = -2*t + 14, s*c = 5*t + 29 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2158 divided by 26.\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-12)\/18 - 8\/6. Let j be 1 + -2*1 - x. Let y = j - -4. Calculate the remainder when 9 is divided by y.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 13565?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.3, 1, 186, 2\/19, -3?\nAnswer: 186","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s when two letters picked without replacement from vssfspfspvspsfss?\nAnswer: 7\/30","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:20 PM and 11:04 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 64, 0.4, -0.2, 4.15.\nAnswer: -0.2, 0.4, 4.15, 6, 64","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ddgwdgldgdlw. Give prob of picking 1 g, 2 d, and 1 w.\nAnswer: 4\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 318580 and 680?\nAnswer: 637160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 33 = -4*j + 1, 2*j = -2*d - 26. Let a(f) = -4*f**2 + 13 - 8*f + 0*f**2 + f**2 + 2*f**2. Let o be a(j). Solve 26 = -o*t + 6 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (8\/14 - 0) + (-714)\/(-294). Let i(d) be the first derivative of 1\/3*d**t - 13*d + 5 + 0*d**2. Determine i(0).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 37.5, 1567\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 11653 by -4.\nAnswer: -11653\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.243 + -0.021. What is t rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -1495554*d**3*i*j**3 - 4*d**3*i*j + 77*d**3*i - d**2*i - 2*d*i*j**2 - 3*d*j**2 wrt j.\nAnswer: -8973324*d**3*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 48627?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1900693 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (((-50)\/5)\/70)\/((-8)\/(-14)). Suppose -2*m = -2, -5*w - 4*m = 3 - 2. What is the closest to w in l, -1, -0.4?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.1 + 0.1. Let n(r) = -4*r + 2*r - r + r. Let l be n(2). What is the closest to i in l, 5, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = 5*r + 83743140 + 13636890, -6*c = -2*r - 292140012. What is c rounded to the nearest 1000000?\nAnswer: 49000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*b + 6*b - 21*b + 3*b + b**2 + 82 + 7*b.\nAnswer: b**2 + 2*b + 82","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -5*c**3 + c + 1. Suppose 0 = w + 3 - 9. What is the lowest common multiple of r(-1) and w?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5836?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-2 + 21\/9). Suppose -l + 41 = 2*i, m*l = 4*i - 21 - 46. What is the greatest common divisor of i and 76?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 511959 and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j = -2*k + 9706, -2*k = 11 - 21. List the prime factors of -13*(3*-1)\/(72\/j).\nAnswer: 13, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = 0 - 10*g**2 + 8 - 4*g + 14*g + 0 + g**3. What are the prime factors of t(9)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-1\/2)*y)**(-18\/7)\/(y\/((y*y*y**7)\/y)*y\/(y**(2\/11)*y*y)))**42 assuming y is positive.\nAnswer: y**(1998\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 37 + -33. Solve d = 3*k - 2*f, -4*k + 2*f + 8 = -2*f for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 66 a factor of 496782?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = q**3 + 2*q**2 - 5*q - 4. Let u = -5 + 2. Calculate p(u).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 3}. What is prob of sequence ee?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 i and 1 h when two letters picked without replacement from ihiihhi.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a kilometer in meters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ofoofmmoooqoooqomf. Give prob of picking 1 q and 1 o.\nAnswer: 20\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 392 - -14. Let g be 2 + (16\/(-15 + 7) - -406). Do g and f have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 22 - 3 - 435\/29. Solve k*l + 16 = 0, -5*t + 4*l + 26 = 20 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = f + 4*i - 64, -i - 3 = 0. Suppose -f*x + 14*x + 1785 = 0. List the prime factors of x.\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3295524 divided by 76\nAnswer: -823881\/19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -12*y. Let k(h) = -982398*h. Determine u(k(r)).\nAnswer: 11788776*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, 23, 68, 163, 326, 575, 928, 1403?\n\"Answer: 3*t**3 - 2*t**2 - 2*t + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 118745897 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2679 + 8564. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1284\/97 in -0.1, 5, -1\/4, -4, 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 83444?\nAnswer: 2, 23, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.57784 hours in microseconds?\nAnswer: 38080224000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4 and 606389?\nAnswer: 2425556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 252629?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 10, 1, 378\/11, -2, 2, -0.4 in ascending order.\nAnswer: -2, -0.4, 1, 2, 10, 378\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4143933 and 828.\nAnswer: 207","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:03 PM and 1:19 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 72*n**3 + n**2 + n - 3. Let j(h) = -143*h**3 - 3*h**2 - 3*h + 7. Let c(l) = 5*g(l) + 2*j(l). Let m be c(-1). Let k = -8 - m. Is k a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1646893.\nAnswer: 1646893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1824219?\nAnswer: 3, 17, 11923","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 363*t + 727*t - 363*t + 2. What is the units digit of n(19)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 8 (b) 5 (c) 4 (d) -73.6 (e) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 - (-12 + 21 + -10 + -41 - -11).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 149252402 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -5, 54, 5, 3 in descending order.\nAnswer: 54, 5, 3, 0, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.1224 and -2318543330?\nAnswer: 2318543329.8776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -5*g**2. Let w(k) be the third derivative of 0*k + 0*k**4 + 0*k**3 - k**2 + 0 + 1\/30*k**5. Give w(j(a)).\nAnswer: 50*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -89\/5 + 18. Sort -0.5, g, 13 in ascending order.\nAnswer: -0.5, g, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*p = 94*p - 562 - 734. Let x(m) = -7*m + 64. Determine x(p).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37, 22, -51, -182, -371?\nAnswer: -618","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y = q - 0*y - 4184, 3*q - 12534 = -3*y. Is 24 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5639656 divided by 76.\nAnswer: -74206","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 6 - -1e?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 47 minutes before 11:43 AM?\nAnswer: 10:56 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -6\/49 - -20\/49. What is the nearest to 2\/3 in p, -3\/4, -3?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 12 and 48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 705?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6778*r**5 - 2*r**2 + 8562*r.\nAnswer: 135560*r**3 - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 146 + 236 = 0 for l.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18*c**3 - 63*c**3 - 17958027*c**2 + 33*c**3 + 17958027*c**2.\nAnswer: -12*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 125784, 125785, 125786?\nAnswer: 125787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 9.26 + -7.674. Let t = -112 + 113.6. Let v = t - l. What is v rounded to 2 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 120878313?\nAnswer: 3, 17, 47, 211, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 1)*(8*p - 4*p + 4*p) - 4*p + 5*p - 2*p.\nAnswer: 7*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/17 + 224118*g\/17 - 224120\/17.\nAnswer: 2*(g - 1)*(g + 112060)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.371623 - 0.032623. What is w rounded to zero decimal places?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-18)*(6 - 3).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5173 (base 11) to base 13.\nAnswer: -3175","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 at least -0.27?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -125*r. Let m(l) = 92537*l. What is m(k(a))?\nAnswer: -11567125*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the second derivative of -592*c**6\/15 - c**3\/6 - 26*c**2 + 105*c - 1. Find the second derivative of g(s) wrt s.\nAnswer: -14208*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -414, -64, 286, 636, 986, 1336?\nAnswer: 1686","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - -4 - 0\/(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in three fifths of a decade?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 31*a = 3507 + 461. Find the second derivative of 18*r - a*r - 206*r**2 + 49*r**2 wrt r.\nAnswer: -314","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 7\/2 of a tonne?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -413101937\/795 + 519625. What is the common denominator of -11\/9 and a?\nAnswer: 2385","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 12937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = s - 0*s. Suppose -2*o - 3 = 1, 2*l - 5*o - 18 = 0. Solve l*n + 15 = 3*f, -s*f + 1 = 5*n + 14 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2542704649.\nAnswer: 223, 11402263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 12*f + 8. Let o be g(6). Let t = -107.011 + 0.011. Let b = -107.5 - t. Put 2\/7, 1\/2, o, b in descending order.\nAnswer: o, 1\/2, 2\/7, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -v - 7. Let x(j) = 3*j + 20. Let u = 17 - 0. What is u*r(o) + 6*x(o)?\nAnswer: o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) 5 (b) 0 (c) -1\/8 (d) 3 (e) -23 (f) -2.57\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 2*sqrt(125).\nAnswer: -3 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = f + 4*g, 5*f - 4*f - 2*g = -12. Let y(d) = 3*d**2 + d + 2. Let l be y(f). Suppose 3*r = -2*x + l, -4*x + 3*x - 3 = 0. Is 3 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 345 + 419?\nAnswer: 764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 130 + 302110231?\nAnswer: 302111021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 14166689.8 rounded to the nearest one million?\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13, -21, -35, -55, -81?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -72*h + 58*h + 21448. What are the prime factors of h?\nAnswer: 2, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6\/5 of a litre?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.04526 + -0.047. Round d to 4 dps.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1 (b) -4 (c) -24\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 - 1 = -3*h - 4*z, 4*h + 4*z = -12. Which is smaller: h or -5\/31?\nAnswer: -5\/31","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = 9*b. Let g be (-3)\/7 - 282\/(-21). Let r(a) = -4*a. Determine g*r(q) + 6*o(q).\nAnswer: 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8*u**2 - 10*u**2 + 8 + 3*u**2)*(5 + 1 - 3)*(0*u + u + u).\nAnswer: 6*u**3 + 48*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by 28765.\nAnswer: 1\/5753","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**4 + 19*i**3 - i**2 - 35*i + 26. Let q(h) = -6*h**3 + 12*h - 9. Let r(j) = 8*q(j) + 3*t(j). Factor r(f).\nAnswer: -3*(f - 2)*(f - 1)**2*(f + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) be the third derivative of -s**6\/120 + s**5\/60 + 8*s**3\/3 - 24*s**2. Calculate n(0).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -6.8?\nAnswer: -6.8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -12601 - 6.6\nAnswer: -12607.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 25 + -8. Let y = r - -10. What are the prime factors of y?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:40 PM and 4:17 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -8c782 (base 16) to base 9.\nAnswer: -1066221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 633973.2 + -633840.279805. Let b = -144.7201897 + p. Let f = b + 11.8. Round f to 6 decimal places.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -31*f + 546 = -25*f. Suppose 184 = 3*x + f. What is the units digit of x?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 25389 and 62?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -3 - -3 - -1 - (-46 + 106 - 134)\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 2*x + 104, g - 3*x - 106 = -4*g. What is the tens digit of g\/20*10\/1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -17557806*h**3 - h**2 + 6498*h + 2897.\nAnswer: -105346836*h - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -x + 2*x - 14. Let y = 22 - x. Let v = 318 - 313. Solve v*w + y + 12 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126745 is divided by 338.\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2624*c + 1357*c + 1347*c - 2*c**2.\nAnswer: -2*c**2 + 80*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -w - 27, 49*w - 101*w - 51 = -47*w - 3*r for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5905 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.421? (a) 2\/9 (b) 4 (c) -4 (d) -2\/13 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express ((2 - x - 2)*(1 + 1 - 3) + 2*x + 5*x + x - 4*x + 5*x + 2*x)*(-6*x**2 + 6*x**2 - 4*x**2)*(-2 - 2*x + 2) as t + q*x**3 + z*x**2 + n*x + f*x**4 and give f.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 236728104?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14)\/sqrt(2) + -2 - (4*(0 + sqrt(7)))**2) + 0 + (2*sqrt(35))\/sqrt(5).\nAnswer: -114 + 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**5 - 9153*d**4 - 82*d**3 - 116*d**2 + 125*d - 222 wrt d?\nAnswer: 120*d**2 - 219672*d - 492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.2344 - -0.291. Let m = k - 5.9166. Let t = 6.6 + m. Round t to 1 decimal place.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0509806 to 4 decimal places.\nAnswer: 0.051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f - 5 = 0, -f = -5*i + 2*f - 3. Suppose g = -i*g - l + 65, 4*g - 290 = 2*l. Suppose -5*y + g = -160. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3077*x. Let a(s) = -142*s. Determine v(a(f)).\nAnswer: -436934*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 110834 and 18422.\nAnswer: 302","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 7*b**2 - 3*b + 37. Suppose -5*s + 2 = 2*u, 0*u + 4*u - 2*s = -44. Is x(u) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -53.1915 - 0.0485. Let q = k + -0.76. Let g = q - -53.998. Round g to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 52 is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1082701 + 1082698. Let b(n) = -n**2 + n + 1. Let q(k) = -k**3 + 8*k**2 - 3*k - 3. Let l(h) = -5*b(h) - q(h). Let r be l(3). Sort r, 5, d.\nAnswer: r, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 26 + 0 + (-2)\/1. Suppose -6*j = -20 + 2. Calculate the greatest common factor of j and m.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799589 a multiple of 501?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -425 + 1073. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 366 minutes after 5:32 AM?\nAnswer: 11:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:04 AM and 12:57 AM?\nAnswer: 53","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 201188*a**2*c**3 - 2277*a**2 + 3*a*c**3 - 2*c**3 - 8611315*c wrt a?\nAnswer: 402376*c**3 - 4554","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 735862 + 10.11322?\nAnswer: 735872.11322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 - 7*w**2 + 9*w + 10. Let d be a(-8). Suppose -d*x + 9 = -5. Let g(y) = y**3 - 7*y**2 + 4. Let p be g(x). Solve f = -p*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 406\/435*30\/(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 110 and 8.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -5*k. Let i(g) = -334715*g**2. Give i(d(a)).\nAnswer: -8367875*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j - 0*j - 5*f, 2*j - 2*f = 8. Suppose -5*b + 3*s - 1305 = 8*s, 4*b - 2*s = -1074. Let n = 5052\/19 + b. Which is smaller: j or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) be the first derivative of -c**2 - 6*c - 13. Let f be t(-5). Solve 5*n = f*w, -n + 0*n + 4*w - 16 = 0 for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 352 + -350. What is the highest common divisor of n and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(-7))\/t*t*t*(t\/(t\/(t*t**(-47))))\/t*t*t*t*t**(1\/2)*t*(t\/(t*t\/t**(-7\/3)))\/t*t)**(1\/37) assuming t is positive.\nAnswer: t**(-221\/222)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(1*(0 + 1*sqrt(539)))**2.\nAnswer: -2156","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 292 divide 93806556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 62480765 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*h - 52*h - 5 + 2 + 1.\nAnswer: -45*h - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-84)\/36)\/((-196)\/252)*(-1)\/(-87).\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 194451 to the power of 1\/2, to the nearest integer?\nAnswer: 441","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25 + (-4 - 9) - (-1 + 1 - -6 - 27)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -290365*k**3 - 2*k**2 - 7093 wrt k.\nAnswer: -1742190","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14\/2)\/(424\/(-848))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -3\/5 (b) -5 (c) -13 (d) 31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4 + -1. Let j be (7 - 3)*-1 - -9. Solve -12 = 2*m - 2*w, n*m - j = -2*w - 13 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 41 - (-29 + 68 + -4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 932823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 - 73 = -4*d. Suppose m = -0*m + d. Suppose w = 3*z + m, -4*w + 4*z + 65 = -z. What is the lowest common multiple of w and 11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-63)\/24)\/(12\/8) + (-1278)\/(-744)*1.\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven fifteenths of a minute in seconds?\nAnswer: 28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -38*i**4 + 30*i**4 - 4 - 5 wrt i?\nAnswer: -32*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -3\/2, -3\/10, -38, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 5293, 21250, 47859, 85132, 133081, 191718, 261055?\n\"Answer: 2*z**3 + 5314*z**2 + z - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 44 - 14 - 13 + 5 + 2*q - 2. Let h(p) = 11*p**2. Give f(h(x)).\nAnswer: 22*x**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.00218 - -3.99782. Let f = 42 + -87\/2. Let k = -0.2 - 0.8. Which is the nearest to k? (a) -1 (b) f (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y + 26 = d, -y = -11*d + 13*d - 31. Solve 9*f + d*f - 23*f = 0 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - v**2. Let b(s) = -17*s**3 + 2*s**2. Determine b(p) + 2*j(p).\nAnswer: -19*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -589*34\/323 - 13?\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 + -346\/15. Which is the closest to 1? (a) 4 (b) -0.2 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (-2 - 4\/(-2)) + 224 and 4.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the first derivative of -140*w**3 - 8 - 145\/4*w**4 + 9*w**5 + 0*w + 50*w**2. Factor b(o).\nAnswer: 5*o*(o - 5)*(o + 2)*(9*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1458?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-13)\/(-39)*(-30)\/25. What is the nearest to 0.1 in s, 1\/13, 0.2?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -224.1 * 9603\nAnswer: -2152032.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -89596\/175 not equal to -511?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z = 11*z - 12. Let b be z + -4 - (1 - 4). Is -0.3 bigger than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - p**2 - 7*p + 1. Let r be k(3). Let j be (-5 - r)*1*-13. Let i = j + -6. List the prime factors of i.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 57\/629 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 49 - 46. Solve -5 + 17 = -z*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -4*f**2 - 156*f + 93. Let k be r(-38). Is 248 > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -71 + 4*l + 2*l**3 - 68 + 139 to u*l**3 + t*l**2 + v + x*l and give x.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 412963865 is divided by 98?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 364 + -265. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 25 = -c - 0*c, -5*c + 125 = 5*r. Let i = c + -20. What is the third derivative of -30*a**4 - 4*a**2 + 30*a**4 - 5*a**i + 10*a**5 wrt a?\nAnswer: 300*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -2, -4, -998, 9 in decreasing order.\nAnswer: 9, -1, -2, -4, -998","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m**2 + 2*m**2 - 3*m**2)*(0 + 4 + 0 + (-2 + 5 - 1)*(1 - 5 + 3)).\nAnswer: 2*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*x - 10 = -19 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 3, l: 2, z: 3, v: 1, w: 1, m: 7}. Give prob of sequence zz.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 57*n - 28908 - 32379 + 55074 = 0 for n.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*o - 50, 0 = -4*o + 1 - 25. Solve 33 = -n*s + 71 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-7)\/(d*d\/(d*d**(6\/5))))**(1\/19) assuming d is positive.\nAnswer: d**(-34\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x - 5. Let i(d) = -2*d + 9. Let q(w) = 6*i(w) + 11*u(w). Let a be q(11). Let b be 0*(a\/2 + 5). Solve 4*o = -b*o + 12 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 671636 to the power of 1\/3, to the nearest integer?\nAnswer: 88","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1954 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2449?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -1 + -37132950?\nAnswer: -37132951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 272400953 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + (-2 - -9) + (0 - 10).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(112) - 2*sqrt(112))\/sqrt(8) + sqrt(14))\/(3*sqrt(6)\/sqrt(3)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3368115.\nAnswer: 3, 5, 61, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -11, -29, -63, -119, -203, -321?\n\"Answer: -d**3 - 2*d**2 - 5*d - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*k - 19*k - 360 = 0. Let p be -46*(k\/(-8) + -5). Solve 0 = w - 0*w + 3*h + 3, -4*h = -5*w + p for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 209, 108, 3, 0, 41 in decreasing order.\nAnswer: 209, 108, 41, 3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 63988848 a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1282 - 23*s - 1282.\nAnswer: -23*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 33280?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -53*r + 55 = 2*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(162) + sqrt(162) + 1 + sqrt(162) - sqrt(162))*3)**2.\nAnswer: 324*sqrt(2) + 5841","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370969*g + 227707*g + 143265*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 729724*n**4 + 4*n**3 + 47348*n - 47 wrt n.\nAnswer: 8756688*n**2 + 24*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of w**4\/6 + w**2. Let m(z) = 20*z**2 + 11*z - 88. Let x(n) = -7*n**2 - 4*n + 32. Let f(t) = 4*m(t) + 11*x(t). Give g(f(v)).\nAnswer: 12*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.001607 litres in millilitres?\nAnswer: 7001.607","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6014577 or 6014576?\nAnswer: 6014577","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:37 PM and 12:01 AM?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17*a**6 - 789729*a**4 + 789728*a**4 + 2176*a**2 + 58*a**6 wrt a.\nAnswer: 4920*a**3 - 24*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l = -24*u + 21*u + 8, -2*u - l + 6 = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43918499 to the nearest integer?\nAnswer: 6627","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -23\/5999910 and 57\/55?\nAnswer: 65999010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36778\/4070 + (-12)\/330.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 29\/162 and -61\/12798.\nAnswer: 12798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.54 + 7.\nAnswer: 7.54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -17187, -3, 5, 2, 1, 4 in increasing order.\nAnswer: -17187, -3, 1, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 336178 + 5?\nAnswer: 336184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 6348767 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -2*k - 2. Let p be w(-2). Let t = 30 + p. Let l = t + -21. What is the units digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9969378233 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (13\/4)\/13 + 700\/(-880)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8646289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the first derivative of -109*s**4 - 139*s + 50. Find the first derivative of u(g) wrt g.\nAnswer: -1308*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -1*2 - (-2 + 3). Let k be j + 0 + 2 + -639999. What is k rounded to the nearest 100000?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -4*i**2. Let m(t) be the first derivative of 7*t**3\/3 + t**2\/2 - 235. Calculate m(s(o)).\nAnswer: 112*o**4 - 4*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 2*q - 15 = 0. Suppose -q*h = -4911697 - 6188303. Round h to the nearest one million.\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -10 - -18. Let p = -9 + i. Let s = -0.9 - 0.1. Which is the closest to p? (a) 2 (b) s (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3834520470 rounded to the nearest one million?\nAnswer: 3835000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((180\/(-24) - 5) + 11)\/((-351)\/(-72)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 11}. Give prob of sequence wwh.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -128 = -4*y - 0*y. Suppose -5*v - 12 = -y. Solve 4*x - 2*u + 7*u - 2 = 0, -u + 10 = v*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -4 - (1 - (0 - 4)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*p**5 - 8*p**4 + 8*p**4 + (3 + p**3 - 3)*(3*p**2 + 6*p**2 - 5*p**2).\nAnswer: 22*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 34 + -33. Let n be u - -3 - (1 - 1). Suppose n*x = 0, 3*x = p + 2*p - 60. Is 5 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -7518021407 from 0.03.\nAnswer: 7518021407.03","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.52? (a) 26844 (b) -1\/142 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x**2. Let p(s) = -629570*s. Calculate l(p(r)).\nAnswer: 396358384900*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 54\/(-144) - (-7333)\/(-8). Let a = m + 1663. Is a a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjpp when four letters picked without replacement from jpjjjpjjjjjjjjpjpj?\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -364*r**3 - 21379720*r**2 + 21379720*r**2.\nAnswer: -364*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5860?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 12948.33 decades in centuries?\nAnswer: 1294.833","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, k: 1, e: 2}. What is prob of picking 2 e?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (20\/8 - 4)\/(9\/60). Let b be (-1)\/7 + t\/(-10). Let 0 + 2*c**3 - b*c**2 - 10\/7*c**5 + 6\/7*c**4 - 4\/7*c = 0. Calculate c.\nAnswer: -1, -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 1841.263ug?\nAnswer: 0.000000001841263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -318, -666, -1246, -2058?\n\"Answer: -116*z**2 - 202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*l - 4, l - 16 = -1094*n + 1089*n. Let g(j) = -713*j**3 + 92*j + 92. Let s(z) = -23*z**3 + 3*z + 3. Calculate n*g(h) - 92*s(h).\nAnswer: -23*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 30776 is divided by 113?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be -4 + (-2 - -5) + 1. Suppose t = 7*b - 3*b - 88. What is the smallest common multiple of 164\/14 + (-4)\/(-14) and b?\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 103544420 to the nearest integer?\nAnswer: 470","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**2\/6 - 2075*r\/3 - 62925\/2.\nAnswer: (r - 4195)*(r + 45)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000016845 rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = l**2 + 4*l + 6. Let i be n(-3). Suppose 5*f + 21 = -s, -3*s + 14 = -i*f + 5. What is the tens digit of f\/(-3 + (-272)\/(-92))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1040 + -43?\nAnswer: 886","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 286999535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 0, 7, 18, 33, 52, 75?\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5967\/11 + -542. What is the common denominator of 53\/5 and z?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -41\/5 - -57\/10. Let v = -83\/266 + 1\/38. Let z be (-5)\/(-2) - (-1 + 3). Which is the second biggest value? (a) v (b) j (c) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-35)\/21 - (0 - (-40)\/(-6)). Solve -l = -4*u - 1 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the third derivative of -v**6\/360 - 7*v**5\/120 + 14*v**3\/3 - 6*v**2. Let q(j) be the first derivative of o(j). Suppose q(t) = 0. What is t?\nAnswer: -7, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -62 - (-155 - -118) - (-6 + 1 - 3)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -10*c**3 - 15*c**2 - c + 31. Is m(-6) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2950 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (-1832)\/168 + 7 + (-3 - -7)\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -u**3 - 9*u**2 - 8*u + 5. Give w(-7).\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 219 divide 1029480849?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 962?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -n**3 + 5*n**2 + n. Suppose o - 1 - 1 = 0. Suppose 4*h - o*z = h + 7, -z + 4 = 0. Calculate l(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.9503 - -0.0497. Let g = 0.02 + 0.98. Which is the second biggest value? (a) t (b) -2\/3 (c) g (d) -1\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1649 and 3570?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h. Suppose -o = -0*o + 18. Let n = -21 - o. Let d(r) = -3*r. Give n*d(l) - 6*k(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 899918609 to the nearest integer?\nAnswer: 173","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1230*j**3*x**3 + j**3*x**2 + 13*j**3*x + 2*j**2*x**2 + 93*j**2*x wrt x?\nAnswer: -7380*j**3*x + 2*j**3 + 4*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 12 - 8. Suppose v + 3*g = 3*v - 7, -3*v + h*g + 12 = 0. What is the highest common divisor of 1 and v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = -21*p - 200. Let l be m(-20). Calculate the greatest common divisor of 165 and l.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n**3 + n**2 - n + 2. Let c be f(2). Let u = c - 2. Suppose 3*t + 3*g + 2*g = -12, 3*g = -2*t - 7. What is the least common multiple of u and t?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2194, 4, 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14188.\nAnswer: 2, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -19812778 divided by -409?\nAnswer: 48442","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(2\/19)*c**(-7))**(-24\/13)\/((c\/(c\/c**(-6))*(c*(c*c\/((c\/((c\/((c**(-1\/2)\/c)\/c))\/c))\/c*c*c))\/c*c)\/c)\/(c**1*c*c*c**5)) assuming c is positive.\nAnswer: c**(11969\/494)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 18.3 (b) -1\/2 (c) -2\/9 (d) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 115025 and 100?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - -7d4557?\nAnswer: 7d4555","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -342.2 + 343. What is the nearest to 2\/3 in -2\/3, 5, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16015416 - -0.062?\nAnswer: -16015415.938","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 17 + 110?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:14 PM and 6:08 AM?\nAnswer: 414","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 92248310?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 155018 to the nearest integer?\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 2*g**2 + 21*g. Let m be f(-12). Suppose 2*i = -4*x + m, 0*i = x + 3*i - 9. What is the lowest common multiple of x and 1\/2 - 42\/(-4)?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32107 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 385 minutes after 1:21 AM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.3101 to one dp.\nAnswer: -2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 231\/84 + (-891)\/36?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 10*l**4 - 11*l**3 + 13*l**3 - l + 5*l**4 - 36*l**3 - 12*l**4 - 2 as r*l**3 + j*l**4 + x*l**2 + u*l + c and give r.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 94*i + 92*i - 376*i + 97 = -89*i - 96*i + 4*g, -g = -18 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24994820 + 31405180 = -2*d. Round d to the nearest 1000000.\nAnswer: -28000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(128)*4*1)**2 - 3*(3*sqrt(288) + 3 - sqrt(288)).\nAnswer: -72*sqrt(2) + 10231","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1 (b) -0.5 (c) -9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, 3.3, -2399?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -5*t**4 + 172*t**2 + 12*t + 2474. Let a(u) = -16*u**4 + 517*u**2 + 39*u + 7422. Let j(d) = 4*a(d) - 13*y(d). Find the first derivative of j(m) wrt m.\nAnswer: 4*m**3 - 336*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4789 + 5.\nAnswer: -4784","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-7))\/(104\/(-182))?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-68)\/(-4) - (0 + 1)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 280\/9?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 7*c**2 + c**2 - c - 1 - 3*c**2. Let r be m(-1). Solve 0*a = 5*a + r for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 l and 2 p when four letters picked without replacement from {r: 1, p: 1, l: 3, o: 4, z: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (480\/(-2952))\/(50\/(-15)).\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -494 + 530. Does 3 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 84\/24*((-322)\/882)\/23.\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00006776202 rounded to seven decimal places?\nAnswer: 0.0000678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-60)\/25)\/((-4)\/(-30)). What is the common denominator of -15\/4 and (189\/(-6) + -2)\/r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ek when two letters picked without replacement from bkxekbkkk.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 + -18. Solve 6 = m*t - 2 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = 921*k - 7347. Determine l(8).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 285 is divided by 143.\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the second derivative of 0 + 0*w**6 + 3*w + 0*w**5 + 0*w**3 + 11\/12*w**4 + 0*w**2 + 2\/21*w**7. What is the third derivative of d(o) wrt o?\nAnswer: 240*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -1919385, -3838756, -5758127, -7677498, -9596869?\n\"Answer: -1919371*t - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 + -2 + (48 - 24).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -7.56 + 41.66. Let w = -34.3 + h. Which is the nearest to 2? (a) w (b) -7 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3497 - 10*p - p**3 - 669 + 15*p - 2*p**3.\nAnswer: -3*p**3 + 5*p + 2828","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19786 - -19786.00028434. Round a to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3301\/6 - -552. Let q(s) be the second derivative of w*s**3 + s**2 + 15*s + 0. What is the first derivative of q(i) wrt i?\nAnswer: 11","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 7*t - 21 = -1. Let g = 33 + -20. Solve 4*x + 2*b = 0, x + t = 4*b + g for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 196017 (base 12) in base 15?\nAnswer: 8c17d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 96235, 384992, 866265, 1540054, 2406359, 3465180?\n\"Answer: 96258*s**2 - 17*s - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r = -3*b + 7, -3*b = -2*r - 3*r + 28 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5172, 2, 0, -4, -2 in descending order.\nAnswer: 2, 0, -2, -4, -5172","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q - 2. Let h(s) = s**2 - s. Let b(y) = y**2 + 16*y - 133. Let v be b(-22). Give v*h(m) + x(m).\nAnswer: -m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 5*c + 149. Let h be p(34). Calculate the greatest common factor of h and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110\/(-3)*(-9147)\/30490.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m + 2. Let i be s(0). Let d be (21 + -3)*i\/6. Let n = d - 8. Which is the closest to n? (a) -1\/4 (b) -1 (c) -3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = b**2 + b. Let x(j) = -4*j**2 - 6*j + 3. Let k(l) = 5*n(l) + x(l). Let s be k(0). Suppose 5*h - 336 = -s*h. Is h a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-12)\/(-5))\/((-18)\/855). Let s = 580 - x. Does 27 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40\/12)\/((-2425)\/970)?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = x**2 - 5*x. Let v be h(4). Let a(p) be the second derivative of -p**4\/12 - p**3 - 5*p**2\/2 - 16*p. Give a(v).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 6. Let h(l) = 3*l**q - 2*l**2 - 2 + l**3 + 3. Give h(-1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0897 * 5.7016.\nAnswer: 0.51143352","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2\/19, 5423, 4, -34, -0.3, 5, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -828955, -1657909, -2486861, -3315805, -4144735, -4973645, -5802529?\n\"Answer: w**3 - 5*w**2 - 828946*w - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 times -3?\nAnswer: -984","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-1\/4)*((f\/f**2)\/f)\/f)**(1\/11) assuming f is positive.\nAnswer: f**(-13\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -102322020332 (base 4) to base 15.\nAnswer: -67d9de","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -122242, 4, 11, 5 in decreasing order.\nAnswer: 11, 5, 4, -122242","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2575945, 2575911, 2575877, 2575843, 2575809, 2575775?\nAnswer: 2575741","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 34*s - 14. What is v(3)?\nAnswer: 88","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 56a + -50c4?\nAnswer: -4958","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*c - 27*c + 31*c - 6*c + 98.\nAnswer: -2*c + 98","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = 8*p**2 - 3*p - 1. Suppose -5*s + 38*n - 37*n = -153, s = 3*n + 11. What is the remainder when i(3) is divided by s?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-460955)\/(-7190898)*-13*(-1)\/(-2)?\nAnswer: -5\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2106838 is divided by 11903.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -169, -190, -223, -268, -325, -394, -475?\n\"Answer: -6*p**2 - 3*p - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1564528?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 725 a factor of 59371094?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1824, 1822, 1812, 1788, 1744, 1674, 1572?\n\"Answer: -i**3 + 2*i**2 - i + 1824","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000004339891 rounded to 7 dps?\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -5481765*s**4 + 3416622.\nAnswer: -21927060*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x + 141 = -4*t - 37 + 7, -198*x + 330 = -3*t for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 224, 456, 688, 920, 1152, 1384?\n\"Answer: 232*c - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 y when three letters picked without replacement from {y: 12, c: 4, p: 4}?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111100111000101001 + -1?\nAnswer: -111100111000101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2937 - -2390. What is the second biggest value in -0.2, m, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c = -2*v + 33 - 60, 5*v + 9 = -2*c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2\/9 (b) -115 (c) 2 (d) 0.5 (e) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7*h**2 - 17*h**2 - 15*h**2 - 11*h**2.\nAnswer: -50*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 18*d - 95. Give z(-15).\nAnswer: -365","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-18) - (116\/138)\/(-2).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a tonne in grams?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8 + 7. Let q be ((18 - -1)\/1)\/i. Let x be -2*1 - (-3 + q). Solve 0 = c + 5*u + 10, 5*c + x = -3*u + 8*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -15539*j**2*u + 3*j**2 + 8*j*u + 16*j + 3*u - 21825 wrt u.\nAnswer: -15539*j**2 + 8*j + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -7*r**3 + 13*r**2 + 2. Let n(o) = -4*o**3 + 7*o**2 + 1. What is 3*g(v) - 5*n(v)?\nAnswer: -v**3 + 4*v**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88643 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 0.5570937t?\nAnswer: 557093700","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 41503 (base 9) to base 6\nAnswer: 330433","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -4*n - 26. Let v be u(-14). What is the second derivative of 5*s + 599*s**5 + v*s - 626*s**5 wrt s?\nAnswer: -540*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - 16. Let y = h + 16. Solve 24 = -x + y*o, 2*x + 3*x + 4*o = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the first derivative of -7*q**2 - 3\/4*q**4 - 7 - 17*q - 4*q**3. Is a(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the third derivative of o**6\/120 - 7*o**4\/24 + 3*o**3\/2 + 4*o**2. What is the least common multiple of 4 and a(2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b + 2*b + b)*(3*b + 0*b - b) + 4*b**2 - 3*b**2 + b**2.\nAnswer: 8*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 3*i = 8, 9*i - 12*i = -3*c - 24. Put 3, 276\/7, c in ascending order.\nAnswer: c, 3, 276\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 225*h**5 - 2*h**4 + 15*h**3 + h**2 + 3155734*h?\nAnswer: 4500*h**3 - 24*h**2 + 90*h + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 4751733 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that g**3\/5 + 22*g**2\/5 + 96*g\/5 = 0.\nAnswer: -16, -6, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4098 + -4098. Let a(g) be the third derivative of -1\/80*g**5 + n*g + 0*g**3 + 0*g**6 - 8*g**2 + 0 + 1\/280*g**7 + 0*g**4. Factor a(b).\nAnswer: 3*b**2*(b - 1)*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 6*a**2 - 6*a**2 + 0 - 22*a**3.\nAnswer: -22*a**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) be the second derivative of 0*x**2 + 23\/4*x**4 - 1\/3*x**6 + 1\/10*x**5 + 2*x - 11 + 0*x**3. What is the third derivative of g(c) wrt c?\nAnswer: -240*c + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 626 - 406. Suppose 0 = 5*l + 5*r - o, 0 = 2*l - 4*r + 10 - 74. What is the highest common factor of 24 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -38 - q**2 - 44 + 121 - 39.\nAnswer: -q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 48 = -4*b + z, b = -692*z + 689*z + 1 for b.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -26*a - 21*a - 23*a - 18*a + 98*a + 5.\nAnswer: 10*a + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vobkh. Give prob of picking 2 o.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 219, 415, 595, 759, 907, 1039, 1155?\nAnswer: 1255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25478?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -x**3\/2 + 155*x**2\/2 - 5767*x\/2 - 18723\/2.\nAnswer: -(x - 79)**2*(x + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.3 + 0.2. Let y = -48.68 + 48.78. What is the closest to 10 in y, q, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -840\/47 smaller than -18?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d - 8 + 32. Calculate the remainder when 383 is divided by d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the first derivative of h**4\/22 + 52*h**3\/11 + 945*h**2\/11 - 48600*h\/11 - 4071. Factor l(r).\nAnswer: 2*(r - 12)*(r + 45)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 422 and 8?\nAnswer: 1688","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 5 = 5*d + 30, 20 = -4*d + 4*x. Let s(o) = 4*o**2 + 2*o + 1. Let l(w) = 2*w**2 + w + 1. Let t = 0 + 3. What is d*l(c) + t*s(c)?\nAnswer: 2*c**2 + c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6*(-1)\/(-10) + (2 - 2).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 139 = -4*k + 3*p, 4*k + 5*p = 89. Let o(t) = 14*t**2 - t + 1. Calculate the remainder when k is divided by o(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = -202*x**3 + 2*x**2 - 14*x - 29. What is the tens digit of c(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 316, 709, 1258, 1963, 2824, 3841?\nAnswer: 5014","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 516 + -516.4. Let c = -8 + 6. Sort w, 2, c.\nAnswer: c, w, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 73 - 4*r - 130 + 71. Let y be x(2). Solve 3*v = i + 8*v + y, 4*i = 4*v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8 - -13. Suppose 4*r + 22 = 3*z, z + 8 = -5*r - 10. Sort x, -4, 1, z in decreasing order.\nAnswer: x, z, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-501762)\/1687 + 280)*(-1 - -8).\nAnswer: -122","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**3 - 2*j**2 - 5. Suppose -4*c + 3*b = 11, -36*c - 1 = -35*c + b. Let r(h) = -5*h**3 + 9*h**2 + 21. Calculate c*r(o) - 9*k(o).\nAnswer: o**3 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 232*l**4 + 2550*l**3 + 3756*l**2 + 1444*l - 12. Let v(n) = -n**5 - n**4 - n**2 - 2. Let b(f) = -h(f) + 6*v(f). Let b(g) = 0. Calculate g.\nAnswer: -19, -1, -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -32 + (-13 + -5 - -51)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (6 - (0 + (9 - 4))) + 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) be the second derivative of 2*w**3\/3 - 38*w**2 + 32*w. Let g(b) = -2*b + 38. Let k(c) = 7*g(c) + 4*r(c). What is the first derivative of k(i) wrt i?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 47922 to the power of 1\/2, to the nearest integer?\nAnswer: 219","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 times -50?\nAnswer: 300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*g, 0 = -3*g + 5*g - 8. Let l = u - 11. Let k(f) = -f + 5. Let x be k(5). Solve 2*h + h - l = x for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 33, 0.02, 0.0071, -0.5?\nAnswer: 0.0071","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 16 divided by -20\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - 5*c + 4. Let q be x(-5). Suppose q*o + 1814 = -3*f, -5*f + 2*f - 2*o = 1804. Let v = f + 971. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34134.\nAnswer: 2, 3, 5689","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -150*q**5 + 59*q**3 + 81*q**2 - 163*q**4 + 53*q**2 + q**2 + 20*q + q**3 - 42*q**4 = 0?\nAnswer: -1, -1\/6, 0, 4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-7))\/((-3806)\/770 + 4\/5).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 18 + 13. Calculate the greatest common divisor of r and 341.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 2, w: 2, f: 1, x: 1}. Give prob of sequence fxj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 16620\/9 - (-1)\/(-2). Let l = -1831 + w. What is the common denominator of 243\/6 + 4 + 0 and l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 824313*n**6 - 14*n**2 + 18707*n wrt n.\nAnswer: 98917560*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-2\/19))**(-33)*(o**(-3\/4)*o)**(-17) assuming o is positive.\nAnswer: o**(-59\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 4 - 438?\nAnswer: -434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find r, given that -126*r**4 - 5703*r**3 + 44242*r**2 + 3138777*r - 224422 = 0.\nAnswer: -101\/3, 1\/14, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 775 and 50530?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 32014298733 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = -r - 1. Let n(l) = -2*l. Suppose -6*h + h - 5*b + 10 = 0, 0 = 5*h - 4*b + 35. Let k be n(h). Determine o(k).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*g)*(2*g**4 + 0*g**4 - 3*g**4) + (g - g - 3*g**2)*(-14*g**3 - 18*g**3 + 5*g**3).\nAnswer: 83*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from plljl.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 70 + 2*r - 8*r - 6*r + 0*r. Let l be s(-5). What is the greatest common factor of l and 20?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18617 - 11*q**2 - 37253 + 18635 + 10*q**2.\nAnswer: -q**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -66 + 26. Let t = x - -60. Let q(v) = -3*v**3 - v**2 + v + 2. Let p be q(-2). What is the greatest common divisor of t and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*p - 4*p + p = 0. Suppose p = 4*m, 4*q + m - 2 = 22. Let k(y) = 4*y**2 - 6*y - 12. Does 16 divide k(q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 57152991 to the nearest integer?\nAnswer: 385","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 2735279 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -1522, -1583, -1644?\n\"Answer: -61*d - 1461","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -365740 divided by 3\nAnswer: -365740\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -9 + 9. Let u = 1744.1 - 1744. Which is the nearest to z? (a) u (b) 0.3 (c) -3\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 2\/4425507571?\nAnswer: 2\/4425507571","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = 9681093*m**2. Let a(j) = -j. Calculate k(a(s)).\nAnswer: 9681093*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -108.01 + 43.33. What is l rounded to the nearest ten?\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (15\/(-5) - -4). Let t = a - -18. Solve -t*h - h**2 + 5*h**2 + 20 + h**2 = 0.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 41 + -73. Let g = w + 32. Suppose v - 2 + 1 = g. Sort 4, v, -1 in increasing order.\nAnswer: -1, v, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 6, a: 12, z: 1}. Give prob of sequence acc.\nAnswer: 20\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1400259 is divided by 2719?\nAnswer: 2693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*f + 27 = 21. What is the units digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 741304 to the nearest integer?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 12363 = -1761. List the prime factors of (1 - (-2)\/(-3))\/((-6)\/m).\nAnswer: 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20517 = 97*c - 21487 for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 141647?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - 3*x**2 - 2*x + 2. Let y(v) = -1364*v**3 + 1676*v**2 + 11*v - 12. Let j(n) = -6*a(n) - y(n). Find the third derivative of j(i) wrt i.\nAnswer: 8148","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = 39*h + 20446. Is y(-38) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6.8 + -1.8. Let k be (-6)\/9 - 10\/(-24). Sort -4\/3, k, v in increasing order.\nAnswer: -4\/3, k, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-11*(-14)\/(-77))\/(4\/(-8462))?\nAnswer: 4231","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) be the second derivative of t**7\/42 + 2*t**6\/5 + 13*t**3\/6 - 2*t + 18. What is the second derivative of i(q) wrt q?\nAnswer: 20*q**3 + 144*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -o - 4. Let w be k(-7). Suppose 0 = w*u - 1029 - 276. Suppose 0 = -0*n + 3*n - u. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 84 and 36.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-176)\/330*(-1)\/((-8)\/6).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, -6, -1 in decreasing order.\nAnswer: 5, 4, -1, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 214*p**3 - 61*p**2 - 6*p + 3. Let s(y) = 213*y**3 - 63*y**2 - 4*y + 2. Let u(l) = 2*k(l) - 3*s(l). Find the third derivative of u(t) wrt t.\nAnswer: -1266","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 2\/9 (b) 23 (c) 2\/17 (d) 3 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)*(3030 - (7 + (-4 - -1))). Solve 15 = -v*u + 3023*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 7 = -3. Suppose z = 5*o - 9, o - z - 194 = -189. Solve 3*w + o = -g for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 168*x + 13. Is i(4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * 3.1.\nAnswer: 1.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -78*f**2 - 59*f**2 - 14*f**2 + 17*f**2 - 45*f**2. Let n(i) = -2*i**2. Give n(b(u)).\nAnswer: -64082*u**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -729 + 731. Let m(c) = -958*c**2 - 23 + 23 + 963*c**s. Let p(b) = 2 - 2 + 3*b**2. Give m(p(n)).\nAnswer: 45*n**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1222.9 - -1223.4. Let r = -2.92 + -0.08. Which is the closest to -0.1? (a) r (b) -1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 3*w**3 - 2*w**2 - 2*w + 1. Calculate the remainder when v(3) is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 12 = -2*f, 3*f - 7 = 5*w - 27. Let m = 8 + f. What is the third derivative of 0*x**2 - 5*x**2 - m*x**3 + 4*x**3 + 3*x**2 wrt x?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*y - 2163 + 1111 + 1032 + 2*y.\nAnswer: 31*y - 20","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 4873, 39064, 131889, 312664, 610705?\n\"Answer: 4886*y**3 + y**2 - 14*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*n + 348 + 267 = -110*n + 145 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -222 (base 8) to base 11.\nAnswer: -123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the first derivative of -4*s**5\/15 + 8*s**3\/3 + 16*s**2\/3 + 4*s - 2. Factor y(r).\nAnswer: -4*(r - 3)*(r + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -37 - -61. Let f = -5 - -7. Let l = f - -1. What is the highest common factor of o and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -14558, -29119, -43680?\n\"Answer: -14561*q + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-28))\/((-504)\/224)*-3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 17101 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9275074 kilometers to meters.\nAnswer: 927.5074","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 68447 is divided by 2115?\nAnswer: 767","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ccbbcccbbkkccbbb. Give prob of sequence bb.\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**5\/20 - r**4 + 21*r**3\/4 - 23*r**2\/2 + 11*r - 13282. Factor a(u).\nAnswer: (u - 11)*(u - 2)**2*(u - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.156 times -360?\nAnswer: -56.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (-298)\/8*12\/(-3) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 a when four letters picked without replacement from {n: 3, l: 2, a: 13}.\nAnswer: 143\/510","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.3 + 2.3. Let w(q) = -7*q**3 + q. Let p be w(-1). Suppose -2*y = 3*u + y - 12, -4*u + y = -p. Put u, m, -2\/3 in descending order.\nAnswer: u, m, -2\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1650 - 509 = -98*g - 819 for g.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3070 is divided by 406?\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 0.5, -0.006, 1 in descending order.\nAnswer: 1, 0.5, -0.006, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 116 and 3132?\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 24*m**2 + 6*m - 559. Let t(q) = 44*q**2 + 11*q - 1123. Give -4*t(a) + 7*z(a).\nAnswer: -8*a**2 - 2*a + 579","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -453, -455, -471, -507, -569, -663, -795?\nAnswer: -971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0218714556 rounded to 3 decimal places?\nAnswer: 0.022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -836*t**2*w**3 - 2*t**2 - 4*t*w**2 - 26*t*w wrt w?\nAnswer: -5016*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 2510260845 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -4*c**2 - c + 19. Let x(g) be the first derivative of -g**3\/3 + 6*g + 1. Let v(k) = -2*u(k) + 7*x(k). Is v(-2) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f + 2*i + 118, 6*f - 82 = 4*f - 2*i. Does 23 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gn when two letters picked without replacement from {n: 13, g: 3}.\nAnswer: 13\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*i - 39*k - 74 = -i - 43*k, -11*i - 2*k - 161 = -6*i for i.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w + 2*f + 97 = 0, 8*f = 4*w + 5*f - 72. Suppose -6*u + 13*u = w. Solve 5*o = k + 1 + u, 0 = 2*o - 3*k - 12 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 2*k**2 + 5*k - 30. Let q = -4452 - -4447. Calculate o(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 7 + 2*t**2 + 0*t**2 - 2*t - 3*t**2 + 0*t**2. Suppose -5*j + 9*j + 20 = 0. Calculate x(j).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) be the first derivative of -b**7\/420 - 7*b**5\/120 - 2*b**4\/3 - 167*b**3\/3 - 125. Let i(h) be the third derivative of u(h). Differentiate i(m) wrt m.\nAnswer: -6*m**2 - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 337.0914 millennia in centuries?\nAnswer: 3370.914","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 8) to base 10\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-209)\/(-76) + 345\/(-12) + 12?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 90843434 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = -b**3 + 4*b**2 - 3*b + 3. Suppose f = -3*w + 5, f = 5*w - 0*f - 19. Let q be s(w). Let t = q + 7. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*y**3 - 26653*y**2 + 79192*y wrt y.\nAnswer: 12*y - 53306","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 12762?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 14*l - 2. Suppose 0 - 12 = 4*w. Suppose -o = 3*o + t + 31, -3*t = -2*o - 19. Let c(f) = -5*f + 1. What is o*c(j) + w*s(j)?\nAnswer: -2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 3*r**2 + 194*r + 1116. Let x be l(-6). Solve -48*p = x - 12 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.19 and 0.05.\nAnswer: -0.0095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-17)\/4)\/((-19)\/((-418)\/11))*-2.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (45 + 5)\/(((-2)\/6)\/((-63)\/18)). What is the greatest common factor of 1275 and q?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 2*f**2 - 6*f + 3. Determine g(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -120 in 0.02, 5, 2\/7?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 3*o**2 + 5*o**2 - 6*o**2. Let s(y) = 6*y + 1. Let d(f) = f + 1. Let m(j) = -4*d(j) + s(j). Let r(n) = 1. Let c(v) = m(v) + 3*r(v). Calculate i(c(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10\/(-4) + 2 - 486\/108.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-21)\/(-2))\/((-15)\/(-40)). Calculate the greatest common factor of y and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -9*f. Let x(o) = 10910*o - 21832*o - 147 + 10921*o. Calculate t(x(d)).\nAnswer: 9*d + 1323","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -d - d + 22. List the prime factors of (-49)\/(-2) + d\/22.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 9 and -20 - (-9 - 0) - -329?\nAnswer: 954","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 1\/11, -5, -1, 2\/3 in decreasing order.\nAnswer: 2\/3, 1\/11, -1, -5, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 z when two letters picked without replacement from tzjzxtzttxxtzot.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h. Suppose -s - 2*s + 12 = 3*m, 0 = -3*m. Let v = s - 5. Let r be n(v). Is r at least as big as -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 243*n + 2069 + 1816 - 1458 = -1218 for n.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*o**5\/7 + 48*o**4\/7 + 387*o**3\/7 - 3252*o**2\/7 + 6420*o\/7 - 3600\/7 = 0. What is o?\nAnswer: -10, 1, 2, 3, 20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -5*l**2 - 250*l - 16. What is q(-50)?\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = j**3 + j**2 - 15*j - 15. Let n be m(-1). Solve n = 2*v + v + 3*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptpfpttpftf. What is prob of picking 2 p?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1119 * 2034.78\nAnswer: 2276918.82","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 10 = -5*q + 2, o - 2*q - 40 = 0. What is the remainder when 113 is divided by o?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*w**3 - w**3 + 0*w**3 + (4*w - w - w)*(-2*w**2 - 2*w + 2*w) - 4 - w**3 + 4 + 4*w**3 + 2*w**3 + 0*w**3 - 19*w**3 + 4501*w**2 - 4503*w**2 - 3 + 161*w**3.\nAnswer: 144*w**3 - 2*w**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.221685 to three dps.\nAnswer: 0.222","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 687*l**4*t**2 - 1756*l**4 - 3*l*t - 1458*l + t**2 - 3 wrt l.\nAnswer: 8244*l**2*t**2 - 21072*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -6, 9, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 19, 4, -4 in decreasing order.\nAnswer: 19, 4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -5, -24 in ascending order.\nAnswer: -24, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -65663\nAnswer: -11\/65663","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*4\/392*168\/(-252).\nAnswer: -2\/49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -5*z**3 - 2791*z**2 + 2250*z + 7822. Determine i(-559).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and -90564077.\nAnswer: -90564084","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/1)\/(-3 - (2 - 3)). Suppose 0 = 5*v - 28 - 52. Let n be (-2)\/6*v\/4. Is r not equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -49c3 - -2e?\nAnswer: -4995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 5*p**3 + 11*p - 1 - 11*p to the form k + c*p**3 + y*p**2 + z*p and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -g**3 - g**2 - 1. Let d(v) = v + 1. Let b(o) = -d(o) + q(o). Let z be b(-2). Suppose -37 = -z*r + 67. What is the tens digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4 + 38*o**4 - 2*o**3 - 1 + 5*o**2 + 3 - 39*o**4 + o in the form y*o**4 + x*o**3 + w*o**2 + a + s*o and give s.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 310 - 92 = 31*k + 78 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 18 times 0.823\nAnswer: 14.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1436 and 236.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 9}. What is prob of sequence jjj?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 6, u: 6}. What is prob of sequence yyuy?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58.8 - -1.8. Let t = 655.0734 - 712.07289. Let v = t - w. Round v to 4 dps.\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.01 + -2.59. Let r = d - -3.7. Let k = 2.9 + r. Sort -4\/5, k, -1 in decreasing order.\nAnswer: k, -4\/5, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 71, 416, 999, 1826, 2903, 4236, 5831?\n\"Answer: h**3 + 113*h**2 - h - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 12) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 66*v - 2*v**3 - 23 + 27*v**2 - 58*v - 33*v**2. Calculate the remainder when k(-6) is divided by 52.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233*x = -950 - 1846 for x.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 52 - 42. Let s(j) = -j**3 + 11*j**2 + 4*j - 6. List the prime factors of s(h).\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 22068 and 150624.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, -0.15, 0.22.\nAnswer: -11, -0.15, 0.22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10 is divided by 5.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -4*-46996995\nAnswer: 187987980","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.26102891 to 3 dps.\nAnswer: 0.261","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 0.7282824ml?\nAnswer: 0.0007282824","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 - -1. Let g(x) = -x + 1. Let o be g(0). Suppose 3*y - 15 + o = -i*j, 2 = 3*j - 2*y. Sort -5, j, 3 in ascending order.\nAnswer: -5, j, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.41 + -0.4. Let i = u - -0.03. Let q = 0.085 + i. What is q rounded to two dps?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -266 - -266.3. Which is the second biggest value? (a) s (b) -0.2 (c) -1\/7 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 4.06.\nAnswer: -20.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o + 1. Let p be d(-3). Suppose 0*x + 112 = p*x. Does 16 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11.41 - 30.274.\nAnswer: -41.684","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - -11)*(-13 + 324\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 2031840.\nAnswer: 4, 5, 2031840","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 2*r**3 - 5*r**2 - 2*r + 11. What is l(0)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -19 + 35. Suppose -57*m + 5*m + 1260 = 11*m. Calculate the lowest common multiple of g and m.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 2*x + 3. Let b(y) = 6*y + 8. Let w(p) = 3*b(p) - 8*f(p). Let t(a) = 4*a**2. Determine w(t(s)).\nAnswer: 8*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58368 divided by -304.\nAnswer: 192","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1 + (-3)\/(-9))*(54\/(-8))\/9. What is the nearest to -2\/9 in -0.032, 0, 5, k?\nAnswer: -0.032","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of v*z**4 - v*z**3 + v*z - 746*z**4 + 3*z**2 - 251*z wrt z.\nAnswer: 24*v*z - 6*v - 17904*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -j + 29 = 23708*u - 23734*u, -3*j + 4*u + 13 = 0 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d, 1 z, 1 e, and 1 w when four letters picked without replacement from tdtezedeetw?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c - 1. Let b(x) = x**2 - 11*x + 8. Let r(k) = b(k) + 5*f(k). Calculate r(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 381.34 + -429.2. Let z = c - -50. Let b = 2.1400099 - z. Round b to six decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 67250 rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 12*((-189)\/(-18) + -9). Solve f - 23 = -s for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 46626471.\nAnswer: 3, 41, 126359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1138250 - 49.\nAnswer: -1138299","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/25 of a milligram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 15556 to the power of 1\/3, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -0*j + 4*j. Let z be 0 - (84 + 3 - j). Let b = 139 + z. Calculate the greatest common factor of b and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 83?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 = 0, l = 2*r + 2 - 7. Find the third derivative of 247 + t**r - 10*t**3 - 247 + 16*t wrt t.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -71 - 33 + 99 - 3*a**2. Let i be 0 + 1 - (7 - 1). Let d(v) = 4*v**2 + 8. What is i*d(s) - 8*k(s)?\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 30222 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -32*x**4 - 6*x**2 + 22*x + 153. Let p(y) = -y**4 - y**2 + 2*y - 1. Let q(d) = -2*o(d) + 22*p(d). Differentiate q(h) wrt h.\nAnswer: 168*h**3 - 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -4*i - 0, -3*q + 3*i + 108 = 0. Let z = q - -2. Is z a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*y**2 - 36376560*y + 36376564 = 0. What is y?\nAnswer: -9094141, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (10 + -7 - 7) + 7\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + (-1 - 1) + -2.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 1214141*w**3 + 1214111*w**3 + 3 - 2428245*w**3.\nAnswer: 7*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i + 3*t - 59, -2*i = 4*t - 2*t - 26. Suppose 5*a - 4*g - 652 = 0, 178 - 865 = -5*a - g. What is the remainder when a is divided by i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 134*h**7\/35 - 13*h**5\/30 - h**4 - 840*h**2. What is the third derivative of q(y) wrt y?\nAnswer: 19296*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3 + -4. Let w = l - -1. Suppose w*s = -5*s. Sort -4, s, -2 in descending order.\nAnswer: s, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 187 minutes after 7:05 AM?\nAnswer: 10:12 AM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/1694500 and -69\/2000?\nAnswer: 6778000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -49 + 52. Suppose -b = 3*v + j - 19, -12 = -3*j. Solve 2*p + 3*p = v*u - 25, p = u - 6 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.429 and -15284.\nAnswer: -6556.836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 174\/(-100) + 5796\/24150?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -406690 divided by -40669\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/40*((-12)\/9 - -2).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 300 and 525.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16 - 53 + 20 - 10*b**2 + 294*b - 67.\nAnswer: -2*(b - 29)*(5*b - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -1 - -5 - 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(504)\/(sqrt(16)\/sqrt(2)))\/(1*sqrt(1089)) + 4 + -5.\nAnswer: -1 + sqrt(7)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-70)\/((-346500)\/270)*60\/198?\nAnswer: 2\/121","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*d**3\/13 + 1452*d**2\/13 - 1450*d\/13.\nAnswer: -2*d*(d - 725)*(d - 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 4*y**3 + y**2 - 3*y**3 + 3*y**3 + 2*y**2 + y. Let t(g) = -5*g**3 - 3*g**2 - g. Let u(b) = -4*i(b) - 3*t(b). Calculate u(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 100300.\nAnswer: 2, 5, 17, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*b = 775 + 1005. Suppose 51*k - 535 = -b. Calculate the remainder when 45 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1, -5, -269 in increasing order.\nAnswer: -269, -5, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2886667484?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 808 - 807.8. Let t = 11 + -6. Let i = 2 + -1. Which is the nearest to i? (a) n (b) 3 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 108556*d**2. Let x(i) = -2*i**2 + 14. What is x(a(j))?\nAnswer: -23568810272*j**4 + 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r + r + 2*r)*(4*r**2 - r**2 - 2*r**2) - 30338*r**2 + 183*r**3 + 30338*r**2.\nAnswer: 185*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 23098858*o**2 + 4214851?\nAnswer: 46197716*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xmu when three letters picked without replacement from {u: 2, m: 1, z: 1, s: 1, p: 1, x: 2}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 373 is divided by 59?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 85691 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/(l**4\/l))**(-7\/3)*(l*l*l**5)**(2\/13) assuming l is positive.\nAnswer: l**(224\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 258498881 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4911248 to the power of 1\/2, to the nearest integer?\nAnswer: 2216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 62 minutes before 5:25 PM?\nAnswer: 4:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86*b**2 + 28*b**2 + 26*b**2 + 19*b**2.\nAnswer: -13*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 18980*m - 5855*m - 94979*m - 1 + 1.\nAnswer: -81854*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.1 - -0.3. Let u = 23.2 + -23.5. What is the third smallest value in a, -2\/17, u?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -246933*k**5 + 19*k**2 + 3244*k - 2 wrt k?\nAnswer: -14815980*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -143\/4278966 and 37\/138.\nAnswer: 4278966","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 84 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d + 1. Let i(h) = -4*h**2 + 4*h + 9. Calculate -6*f(s) + i(s).\nAnswer: -4*s**2 - 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 - 12 - -5 - -2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 60116*t - 241911. Calculate p(4).\nAnswer: -1447","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.5, -2\/7, 0.2, 50?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 14 - 10. Let c(d) = d**3 + 14*d**2 + 12*d + 1. Let y be c(-13). Differentiate -y*r - 2 + t*r + 7*r wrt r.\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 18167?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to 0.03055862?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*b**6 + 42*b**5 - 110*b**2 wrt b.\nAnswer: -480*b**3 + 2520*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2852645 + -1?\nAnswer: 2852644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0078593 and 21.\nAnswer: 0.1650453","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -39 + (-1 - (-5 + 1)) + 572 + -554 + -13\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73302018.\nAnswer: 2, 3, 941, 12983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -43 plus -0.09272?\nAnswer: -43.09272","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 117\/10 and -49\/278678?\nAnswer: 1393390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, 0.1, 6 in ascending order.\nAnswer: -5, -3, 0.1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together 33070.946 and -6979.\nAnswer: 26091.946","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.66466kg in micrograms?\nAnswer: 36664660000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 2780?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 n when four letters picked without replacement from mnwwnwwnnmnw?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 596 + -975. Let z = 379.000102 + m. What is z rounded to four dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5787.163cm to meters.\nAnswer: 57.87163","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 52. Let g be m(-7). Let o be 72\/(-21) - g - (-104)\/14. Let l(r) = 6*r**2 + 9*r - 9. Let h(i) = 5*i**2 + 8*i - 8. Give o*h(d) - 6*l(d).\nAnswer: -d**2 + 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 489709 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u = 3*q + 67, u = 2*u + 2*q - 15 + 27 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -23*l - 2411. Calculate m(-113).\nAnswer: 188","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -2*c**2 - 27*c - 102. What is o(-8)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4 + sqrt(76))*3*3)**2*-1.\nAnswer: -7452 + 1296*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve l**3 - 2101*l**2 + 1334440*l - 228063108 = 0.\nAnswer: 273, 914","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*r**3 + 1\/3 + 0*r + 1\/3*r**4 - 2\/3*r**2.\nAnswer: (r - 1)**2*(r + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -2 + 394\/6 - 1\/(-3). Suppose -30*z + x = -14*z. Solve -5*i + 3*a + 37 = 0, a = -z - 0 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -2*g**3 + 106*g**2 - 15. What is the common denominator of 3 + -1 + 99\/(-15) and q(53)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(19))**2 + -3.\nAnswer: 4*sqrt(19) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 1\/4, 5, 0.6, 121.2, 1, -5\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 68 = 5*r. Suppose -246*z + 14553 + 14721 = 0. Calculate the highest common divisor of z and r.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/9, 2, -57, -39?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 10*m**3 + 17*m + 2*m**3 - 20*m wrt m?\nAnswer: 72*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220 (base 3) to base 9\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -17. Let h(j) = j - 1. Suppose -6*w + 19 = -y - w, -7*y + 23 = 4*w. Give y*h(a) + k(a).\nAnswer: a - 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000036935 rounded to seven decimal places?\nAnswer: 0.0000369","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = -2*h**2 + 3*h + 3. Let b be q(3). Let w(z) = -z + 1. Let d be w(b). Let c(k) = k**3 - 8*k**2 + 7*k. Let y be c(d). Solve y*u - 4 = -4*u for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -g - 0*g + 9, -4*g + 5*d + 9 = 0. Let r(v) = -g*v + 15*v + 0*v - 6*v. Let l(h) = -5*h**2. Determine r(l(m)).\nAnswer: -15*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m = -5*q - 11, -4*q + 910*m - 911*m = 14 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50 = 4*f - 10. Let o be ((-1)\/1)\/(1\/f). Solve 2*v + 8 = -k - k, -k - o = 4*v for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 546 - 387. What is the tens digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**2 + 384*v + 1527. Let f be x(-4). Solve -22*u - 232 = f*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2 + 4. Suppose -3*o + 0 + u = 0. Find the third derivative of -14*c**2 + 9*c**o - 4*c**2 - 18*c**3 wrt c.\nAnswer: -108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = h**3 + 4*h**2 + h + 4. Let f be i(-4). Suppose -4*t = 4*d - 24, f = -3*d + 1 + 8. Suppose -y + 352 = t*y. List the prime factors of y.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 222476*f**3 - 271*f**2*w + 51457*f*w - w - 600 wrt f?\nAnswer: 1334856*f - 542*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x = 4*b - 122, 3*b + 8*x - 706 = -1175 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 102 - 51 - 17 - 34 - 2*n**3.\nAnswer: -2*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r = -4*x + r - 40, -22 = 2*x - 3*r for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -4.89266 - 0.10734. Let y = -73 + 67. Let m be (2 - (3 - 1)) + -3. Which is the biggest value? (a) y (b) 1\/3 (c) m (d) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4\/3 in 5, -0.4, 5\/2?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 49 + -342\/7. Which is smaller: 0 or l?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 10*f - 33. Let u(h) = h**3 + 6*h**2 - 2*h - 7. Let z be u(-6). Suppose -z*p + 8 = -4*p. Calculate the highest common factor of f and p.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 6:33 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/12 and -25\/209.\nAnswer: 2508","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 469 or 464?\nAnswer: 464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -4183*r*z**2 + 1028*r*z + 53093953*r wrt z.\nAnswer: -8366*r*z + 1028*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2830, -2808, -2756, -2656, -2490, -2240, -1888, -1416?\nAnswer: -806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6460 = -4*b + 2*n, 2*n - 6444 = -21*b + 17*b. Calculate the remainder when b is divided by 95.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503059857 a multiple of 1829?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2\/261 - -548\/3393. Let d = -2008\/5 + 402. Which is the closest to d? (a) 3 (b) n (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -55 + 124 + k**2 + 28 to the form g + d*k + p*k**2 and give g.\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -3918204 less than -54.4811?\nAnswer: 3918149.5189","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*a = a + 18. Calculate the lowest common multiple of 2 + 3 + a + -5 and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 33 = 3*a, -5*q - 3*a - 4 + 43 = 0. Suppose 2*d = -11 + 13. Calculate the remainder when q is divided by -1*3*5*d\/(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 123\/(-6888)*7*(-40)\/(-14).\nAnswer: -5\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/15 in 0.3, -12274, -2\/3, -1, 4?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 10 = -3*h, -15*h = 2*r - 10*h - 14. Suppose 0 = -r*f + 6*j - 4*j + 958, 0 = 5*f - 3*j - 2405. What is the greatest common divisor of 11 and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) = v - 1. Let d(t) = 15*t - 2. Calculate -d(h) + o(h).\nAnswer: -14*h + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(8\/(-4)) - 4. Is 1\/(r\/(-36)) + -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2994?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**14*l*l)\/l*l**1)\/(l*l\/l**29)**(-34) assuming l is positive.\nAnswer: l**(-900)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -4 - 1503?\nAnswer: -1510","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 1844 = -613. Is -0.5 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32091703 is divided by 1696?\nAnswer: 1687","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3922231*q**4 - 359*q**2 + 14*q - 7?\nAnswer: -94133544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(-5 - (-66)\/12). What is the remainder when (-1)\/((3*(-1)\/(-51))\/v) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h + 28 = 3*h. Suppose 0*a - 20 = -h*a + p, p = -5*a + 34. Let o(u) = -u + 2. What is the lowest common multiple of o(-4) and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 347 a factor of 4335261?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*g + 3 = -232*g + 3. Let b(u) be the third derivative of 8\/7*u**3 + 20*u**2 + 0*u + 2*u**5 - 31\/14*u**4 - 21\/40*u**6 + g. Let b(i) = 0. Calculate i.\nAnswer: 2\/7, 4\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-15)\/(-10) - 0) + 3\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-520)*2)\/(567\/189378*-501)\nAnswer: -3\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2594*c - 2566*c = 418404. Is 63 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is r in -3*r**4 + 15*r**3 + 18*r**2 = 0?\nAnswer: -1, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3*z**3 + 3 + (-1 + 2*z + 1)*(-3*z**2 - 8*z**2 + 8*z**2) - z**3 + 3*z - 3*z + (3*z + 2*z - 3*z)*(-4*z + 4*z - z**2).\nAnswer: -6*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27\/7*z**4 + 3\/7*z**5 + 48\/7 + 144\/7*z + 96\/7*z**3 + 24*z**2.\nAnswer: 3*(z + 1)*(z + 2)**4\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -h**3\/5 - 4*h**2 + 92*h\/5 - 96\/5.\nAnswer: -(h - 2)**2*(h + 24)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000002490022696 rounded to seven dps?\nAnswer: 0.0000025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -34*i - 4999 + 1970 + 2107 + 2180 for i.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9445.\nAnswer: 5, 1889","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of -g + 0*g**2 + 4\/27*g**4 + 2\/9*g**6 + 0 + 0*g**3 - 14\/45*g**5 - 1\/21*g**7. Factor a(v).\nAnswer: -2*v**2*(v - 2)*(3*v - 2)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6.9 + -0.9. Let g = z + -5.8. Which is greater: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in twenty-five quarters of a centimeter?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**2\/n**1)\/(n**(-1)*n)**(-43) assuming n is positive.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let -j**4 + 24*j - j**2 - 8*j**3 + 21 - 3 - 3*j**2 - 6*j**4 + 9*j**4 = 0. What is j?\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 873263 is divided by 32343?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let -k**2\/9 + 53*k\/9 + 70 = 0. What is k?\nAnswer: -10, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/19 (b) -5 (c) 3\/379 (d) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(10\/(3\/3))?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -135 + 119. Let b = 10 - h. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48\/6*((-7425)\/(-88))\/(-25).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -1 (b) -5 (c) 17 (d) 5 (e) 3 (f) 9660 (g) 1\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -5\/3, -0.02756, -1, -5, 0.08 in ascending order.\nAnswer: -5, -5\/3, -1, -0.02756, 0.08","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.1? (a) -23 (b) 2\/11 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p**4 + 2*p**3 - 2*p**2 - 18*p - 4. Let m(a) = -a**4 + a**2 + a + 1. Let f(q) = 8*m(q) + w(q). Let f(u) = 0. What is u?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20.41 - -32.41. Which is smaller: -1\/11 or m?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8 + (-2 - (0 + -16))\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-six fifths of a micrometer in nanometers?\nAnswer: 9200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*w**2\/5 - 2422644*w + 2445501646140 = 0. What is w?\nAnswer: 2018870","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 4*q**2 + 174*q - 208. Let b(c) = -c**2 + c + 5. Let o(r) = 6*b(r) + j(r). What is the first derivative of o(f) wrt f?\nAnswer: -4*f + 180","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(5*sqrt(88)*-3*-6)\/(((sqrt(320) + sqrt(320) + (sqrt(320)*2 + sqrt(320) - sqrt(320)))\/sqrt(10))\/sqrt(4)).\nAnswer: -225*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 483 a factor of 90415?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*d**2 - 7*d**4 + d**2 + 2*d - d**3 + 8*d**4 to the form y*d**3 + x*d**4 + l*d**2 + b + n*d and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 11 - (4 - (2 - 21)) - (22 - 6)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/8, -1, -0.7, 1\/4.\nAnswer: -1, -0.7, -1\/8, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than or equal to -41863?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4537*q - 4542*q = 4*o + 213, 2*q + 3*o + 151 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) be the third derivative of w**9\/126 + w**5\/10 + 3*w**2. Find the third derivative of t(a) wrt a.\nAnswer: 480*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 135541799 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 2*t**2 + 3)*(2*t**2 + 2*t**2 - 6*t**2)*(-4*t + 13*t + 4*t)*(4 + 0 - 2)*((-3 + 1 + 0)*(-1 + 1 + 1) + 10 + 7 + 24).\nAnswer: 4056*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express 114*p**3 + 5 + p - 48*p**3 - 55*p**3 in the form y*p**3 + r*p**2 + m*p + v and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17735?\nAnswer: 5, 3547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 273423, 273421, 273419, 273417?\n\"Answer: -2*x + 273425","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by 990082\nAnswer: -3\/990082","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/114 and -101\/42.\nAnswer: 798","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 12. Let n(x) = x**3 - 5*x**2 + 4*x - 3. Let y be n(d). Let f = y + 17. What is the greatest common divisor of f and 21?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -189164 divided by 4\nAnswer: -47291","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -5 from -144891777.572.\nAnswer: -144891772.572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -306.57690951 - 0.4\nAnswer: -306.97690951","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3181 rounded to 2 decimal places?\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 28*l**3 + 44*l**3 + 10*l**3.\nAnswer: 82*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-85)\/219 + (-1)\/(-3). Let d(w) = w**3 + 64*w**2 + 735*w + 2. Let b be d(-49). Which is smaller: x or b?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 185993 at least 185829?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 628319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -2*k**2 - 21*k. Let u(m) = -41*m**2 + 1. Determine q(u(y)).\nAnswer: -3362*y**4 + 1025*y**2 - 23","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(76) + (sqrt(76)*-1 - sqrt(76))*-5 - sqrt(76) - sqrt(76)) + sqrt(76) + sqrt(76) + (sqrt(76) - 1*sqrt(76))*4)\/(sqrt(24)\/(sqrt(288)\/sqrt(3))).\nAnswer: 44*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 210 = 10*w - 0. What is the greatest common divisor of 21 and w?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.58 + -0.58. Let i = -0.2 + 0. Which is the closest to 0? (a) u (b) i (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -15.7 - -12.7. Let j = 93 - 87. Let r be (32\/63)\/1 - j\/27. Which is bigger: f or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -h**2 + 18*h - 108. Calculate m(9).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 79579 to the power of 1\/2, to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2072 and 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 233660 = -4*d, -8*d - 292090 = 27*p - 32*p. What is the ten thousands digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-5 - (-60 - -70)) + 71\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 5) to base 2.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 + 2*k. Let h be w(-2). Suppose a - h = -a. Suppose 3 - r - a - r + r**2 = 0. What is r?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3416\/54656*1*4 - 6\/56?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 2*u = 2. Suppose n + 2 = -4*g, 0*g + g = 5*n - 11. Let l be (n + 2)\/(-4) - -6. Solve 7 = -4*q + u*q + 3*w, -l*w + 5 = 0 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(1\/4))**(6\/5)\/(g*g\/g**(-2\/11))**(-1\/52) assuming g is positive.\nAnswer: g**(489\/1430)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmmgmggmmggmmmmg. What is prob of sequence gg?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*w**3\/9 - 293470*w**2\/9 - 5870000*w\/9 - 29351000\/9.\nAnswer: 2*(w - 146755)*(w + 10)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -1922*l - 2. Let s be h(-2). Let r = 46163\/12 - s. Find the common denominator of r and 97\/16.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 203815782.\nAnswer: 2, 3, 47, 103, 2339","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) -45 (b) -751 (c) 8 (d) -2\/7 (e) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*l**2 - 44 + 44.\nAnswer: 5*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the second derivative of -173*a**6\/30 + a**5\/10 - 41*a**4\/12 + a**2\/2 + 48*a + 2. What is the third derivative of u(p) wrt p?\nAnswer: -4152*p + 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the second derivative of b**4\/4 - 2*b. Let h(w) = 8*w - 6. Let v(o) = o - 1. Let d(i) = -h(i) + 6*v(i). Calculate c(d(n)).\nAnswer: 12*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.2, -6, 2280, 4\/7 in increasing order.\nAnswer: -6, -0.2, 4\/7, 2280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**6\/i)\/i*i\/(i\/(i**(-1)*i))*((i\/(i**(2\/5)\/i))\/i)\/i**(3\/7)*(i**(2\/3))**19*i**(2\/3)*i**(-2) assuming i is positive.\nAnswer: i**(1628\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2385 times 0.1?\nAnswer: 238.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d - 11. Let i be l(11). Suppose i = n - 6*n + 175. Suppose -19*w - n = -20*w. List the prime factors of w.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -14.92 - -14.82. Which is the fourth smallest value? (a) -1\/3 (b) -0.064 (c) y (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34670, 34902, 35134, 35366?\nAnswer: 35598","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 379*k + 146*k + 15*k - 1080 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1621112*a**3 - 1519978*a**2 - 2*a wrt a?\nAnswer: 9726672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 - -20. Let s be 1*32\/(6\/(-9) - -1). What is the common denominator of p and (22\/10)\/(s\/180)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (28\/(-6))\/(((-396)\/(-198))\/((-6)\/10))\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1099*p**3 - 285*p**3 - 625*p**3 + 2054*p**3.\nAnswer: 2243*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y**33)\/(y*y**11)*(y\/(y\/(y\/(y*y*y**(-10)*y*y))))\/(y*y**(-18\/7)\/y) assuming y is positive.\nAnswer: y**(221\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 25, 0, -4, -30021 in ascending order.\nAnswer: -30021, -4, 0, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 10728152 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.055696918 rounded to 1 decimal place?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = j**2 + 7*j + 8. Let z be u(-6). Suppose -v - 41 = -4*r - r, 2*r + 4*v - 12 = 0. What is the remainder when ((-6)\/(-12))\/(z\/88) is divided by r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43693*p**2 + 5*p - 43672*p**2 - 43697*p**2 - 5*p + 131067*p**2.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 19943.515 to the nearest 1000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -s. Let v(t) = 4*t + 2. Let f(l) = 2*h(l) + v(l). Let b be f(1). Solve 0 = 3*g + 6, b*u + g + 7 = 1 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349 is divided by 78.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16869103?\nAnswer: 59, 71, 4027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 o and 1 x when four letters picked without replacement from {m: 1, t: 1, o: 3, i: 11, x: 2}?\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 160248 to the power of 1\/2, to the nearest integer?\nAnswer: 400","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 68 - 186. Let h = s + 183. Let g = 65 - h. What is the biggest value in -1, 2.4, g?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o = -3*x + 20, -o - 5*x = -7 - 17. Suppose -4*j - 3*r + 0*r = -3, -4 = 3*j - o*r. Solve h = -j*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4, -25, 5, -1\/5, 61, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 8*b + 10. Let q(k) be the first derivative of k**2\/2 + k + 2. Let i(h) = 2*c(h) - 20*q(h). Let d(l) = -l**2. What is d(i(m))?\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*h + 15*h - 5*h - 5*h.\nAnswer: 2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 395218477 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*t + 6. Suppose q - 1 = 0, t*r - 2*q + 5*q - 403 = 0. Let g = r - 66. Calculate the remainder when g is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a tonne in kilograms?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -2 + 5000?\nAnswer: 4ddc","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24186630.\nAnswer: 2, 3, 5, 13, 62017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-7 - -2) + (3 - -1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(4\/9)\/x**(1\/13)*((x\/x**(-5)*x*x)\/x)**(-7\/3) assuming x is positive.\nAnswer: x**(-1868\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 108052?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y = -2*f + 3*y + 214184, -535460 = -5*f + 4*y. Let t = 74092 - f. Round t to the nearest ten thousand.\nAnswer: -30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (173*o**3 - 90*o**3 + 265*o**3)*(-3 + 3 + 1) to the form t + q*o**3 + c*o**2 + f*o and give q.\nAnswer: 348","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 2\/(-4) + (-71)\/(-16) and 2\/40*(3 - -121).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -469*y = -485*y + 48. Find x, given that 0*x - 9\/4*x**2 + 0 + 3\/4*x**y = 0.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*v = -15*v + 2. Let q(m) = -2*m + 4. Let z be q(-4). Let s be v + 21\/z - 37513\/28. What is s rounded to the nearest one hundred?\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*r - 317 - 163 = -80 for r.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 177550 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by -1263346?\nAnswer: 1\/1263346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 585887 to the nearest integer?\nAnswer: 765","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.01 in 0.1, -33\/4, -1, -1\/7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2383 - -0.2382999033. Round t to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 3391*u**2. Let l(t) = t. Calculate l(c(a)).\nAnswer: 3391*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 765 and 8517?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -b - 2c26d?\nAnswer: -2c27a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: (-69 - (8 + 8 + -33)) + (48 - 53)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 22\/(-5) - 2\/(-5). Let l = n + 6. Solve -10 = -2*h + r, -4*h = -9*h + l*r + 24 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 87056?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - b - 1. Let h(l) = 5*l**2 - l + 8. Let q(s) = h(s) + 6*k(s). Let t be q(-7). Solve 4*m - 4*a - 6 = t*m, 3*m + 9 = -3*a for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-9)\/(-1 - 2\/(-3)). Let o = a - 16. Is o a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1061 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -f**3 + f + 1. Let h(n) = 4*n**3 + 2*n**2 + n - 1. Give 2*h(v) + 2*u(v).\nAnswer: 6*v**3 + 4*v**2 + 4*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*i + 2*i**2 + 6*i)*(-2 + 2 + i)*((-3*i + 3*i + 2*i)*(1 - 3 + 3) - 1348 + 1348 - 103*i).\nAnswer: -202*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 3\/(-2) - (-65)\/(-26). Let o = c + 70. What is the units digit of o?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0.1 (b) -1\/7 (c) 269.388 (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13167 and 228?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - w - 12 = 0, 3*w + 8 = o - 0*w. Suppose o*x - 13*x - 3 = 0. What is the second derivative of 13*m**5 + 5*m + 3 - 61*m**5 + 3*m**3 - 3*m**x wrt m?\nAnswer: -960*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -69 + 48. Let q = z - -83\/4. Is q less than or equal to 2\/39?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 236, 233, 230?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.3, 4, -0.06, -5, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times -55740.69?\nAnswer: 11148.138","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136, 262, 388, 514, 640?\nAnswer: 766","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 2*a - 6 = 0, 808*a = -4*j + 810*a + 18 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmc when three letters picked without replacement from mccc?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -233353\/712898823 + 1\/113537. Let m = t - -634895\/2247882. Calculate the common denominator of m and -107\/14.\nAnswer: 2506","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -380 + 687. Suppose 2*l - b = -5*t - 41, -5*l = t - 642. What is the units digit of l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 16) in base 11?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/((-42)\/(-39) - 1). Let r = -7 + a. Is (-4)\/r + 260\/12 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(2\/21)\/p**(-4\/7)*(p**(3\/7)*p)\/p**(-8))\/(((p*(p**(-8)\/p)\/p*p)\/p**(-2\/21))\/(p**(-4\/3)*p\/((p\/(p*p**(-6)))\/p))) assuming p is positive.\nAnswer: p**(38\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 185260 and 95980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2d287 (base 15) to base 14\nAnswer: 3b154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve j - 4*g + 5 = 15, 0 = -3*j - 3*g for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07975 rounded to 2 dps?\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -141*m**2 + 5*m - 5*m + 55*m**2 + 70*m**2.\nAnswer: -16*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 - -82411?\nAnswer: 823ba","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*3*(1 + sqrt(242))*-5 + -6*(sqrt(242)*-1)**2 + sqrt(242) + (sqrt(242) - (sqrt(242) + 0))*4.\nAnswer: -1362 + 1001*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (510 - 511) + 2 + 0 + -5?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes after 4:22 PM?\nAnswer: 2:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2992\/204*(-12)\/(-22)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.4 + 1.9. Let u = 3094.09 + -3093.59. Which is the closest to p? (a) 4 (b) -0.5 (c) 0.1 (d) u\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -p**3 + 3*p**2 + 97*p - 480. Give l(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 5}. What is prob of sequence www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 555*l + 649*l + 14*l.\nAnswer: 1218*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (447*v**2 + 104*v**2 - 104*v**2)*(-3*v**2 + 4*v**2 - 2*v**2) + (-4 + 4 - v**2)*(3*v**2 - 5*v**2 - v**2).\nAnswer: -444*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 65\/1089 and -7\/6060483.\nAnswer: 66665313","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -52*s + 47661 = -42663. Find the second derivative of w**4 + 33*w**5 + 1590*w - 6*w**4 - s*w wrt w.\nAnswer: 660*w**3 - 60*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:07 PM and 7:11 PM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.71784 micrometers in kilometers?\nAnswer: 0.00000007571784","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -8 + 13. Suppose -1265 = -0*b + a*b. Is (-1 + b)\/(-9 - -7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that -p**5\/2 + 4*p**4 + 498*p**3 + 1439*p**2 - 995*p\/2 - 1443 = 0.\nAnswer: -26, -3, -1, 1, 37","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.2 (b) 5\/3 (c) -10\/5013 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 2503134?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) be the first derivative of -72\/5*r**5 + 4*r**2 + 136 + 0*r**4 - 11\/3*r**3 + 0*r. What is the third derivative of z(c) wrt c?\nAnswer: -1728*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 1:54 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, m: 1, d: 1, x: 1, i: 1, b: 1}. What is prob of sequence bi?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -252207, -252201, -252195?\nAnswer: -252189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 460436 is divided by 461?\nAnswer: 358","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -653 (base 9) to base 2.\nAnswer: -1000010110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.649 rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -2.16, -5, -3\/5 in increasing order.\nAnswer: -5, -2.16, -3\/5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68775022.\nAnswer: 2, 19, 179, 10111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -8*m - 67. Let f be b(-9). Suppose k - 17 = -3*x, -3*x = f*k - 7*x - 9. Let s = 40 + -41. Sort s, -4, k, -5 in descending order.\nAnswer: k, s, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 708\/48 + (-2)\/(-8). Suppose -l*j = -12*j - 177. What are the prime factors of j?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 305 minutes before 4:13 PM?\nAnswer: 11:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 145 = 10*n - 172 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 5*c**2 + 8*c + 5. Let k(p) be the first derivative of p**2\/2 + p - 3. Let m(l) = 5*k(l) - o(l). What is m(-2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 490.564872 to the nearest 100.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42411470000 = -126*d - 125*d. What is d rounded to the nearest 1000000?\nAnswer: -169000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21360?\nAnswer: 2, 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03106 less than -835409?\nAnswer: -835409.03106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 63647 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 9 + -9. Suppose 0 = 5*t - 5 - k. What is the units digit of (-12)\/t*12\/(-8)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/168 and 43\/11172.\nAnswer: 22344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 212052 (base 11) in base 10?\nAnswer: 339462","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 93, 100, 107, 114, 121, 128?\n\"Answer: 7*f + 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5 - 3133?\nAnswer: -3140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 190649?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 796813 is divided by 6.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 34 + 193. Let s = j - 226. Sort 5, -3, -1, s in decreasing order.\nAnswer: 5, s, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 6\/7, 0.07, -5 in decreasing order.\nAnswer: 2, 6\/7, 0.07, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - (-357)\/112*(-12)\/9?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(20)\/sqrt(4) + 5 + -5)**2.\nAnswer: -4*sqrt(5) + 9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/4161 and 19\/363102?\nAnswer: 6898938","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fccfn. What is prob of sequence nf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -540178 by -270089.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yssysyyy. Give prob of picking 2 y.\nAnswer: 5\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 36467 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 99 + -170 - (49 + -120)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 992*y + 2 + 1 - 3.\nAnswer: 992*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a milligram in micrograms?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2179\/3 + -727. Let s = -2.39 + 1.39. Which is the fourth biggest value? (a) k (b) -102 (c) s (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1367*f = 9417 - 113309 for f.\nAnswer: 76","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 0\/2*(-26)\/156\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -18*4\/8*-17*(-3016)\/(-7956)?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 66451*a*j**3 + 3199*a*j**2 - a - 2*j wrt j?\nAnswer: 398706*a","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1435*o**3 + 2902*o**3 - 1452*o**3.\nAnswer: 15*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*q**4 + 17532*q**3 - 19201920*q**2 - 19219456*q.\nAnswer: -4*q*(q - 2192)**2*(q + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -48*m - 434 + 4754 = 0. Let k = 20 + 3. Calculate the remainder when m is divided by k.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 765316543.\nAnswer: 599, 1277657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 336354511\/1755 - 191655. Is c at most as big as 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 10\/55 - (-6)\/(-33) - 0. Let m(c) be the second derivative of 0*c**2 + 3*c - 1\/3*c**3 + t. Let q(g) = -g. Calculate m(q(a)).\nAnswer: 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 2\/27 and -6 - (-7 + (-246)\/72)?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 332?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2\/(-8) - (-7)\/28. Suppose b = 2*a - 4*w - 26, -a + 0*a - 3*w = 2. Let d = a - 7. Solve i = -2*s, 11 = 3*i - d*i - 5*s for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d*d**(-4\/3)*d**5*(d\/(d*d\/((d\/d**(-2\/3))\/d)*d)*d)**(3\/2)*(d\/(d*d**(4\/3)\/d*d*d)*d**(-8))\/(((d*d\/(d\/(d*d**(2\/5))))\/d)\/d)**19 assuming d is positive.\nAnswer: d**(-413\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 28 in -1\/6, 1\/4629, 0?\nAnswer: 1\/4629","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -471102, -471113, -471138, -471183, -471254, -471357, -471498, -471683?\n\"Answer: -o**3 - o**2 - o - 471099","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i + 0*i + 4*i)*(-2*i + 4*i + 5*i) - i**2 + 3 - 3 to m*i**2 + v*i + k and give v.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*c**2\/23 - 12592118*c\/23 + 2905872\/23 = 0.\nAnswer: 3\/13, 484312","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 4.2. Suppose 0 = -5*d - l - 10, 5*d = l - 3*l - 5. Let g = -0.2 - 0.1. Which is the closest to g? (a) m (b) d (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -75 + 111. Let f = 13 - l. Let w = -13 - f. Let j(c) = c**2 - 10*c + 2. What is j(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35300103 - 8911608 = 315*d. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 0.096?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p - 2*p = 798. Suppose 2722 = 95*f + 12189 + 1078. Which is bigger: f or p?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 12 = -8*i. Let f = i - 4. Let f*z - 2\/5 + 32\/5*z**2 = 0. What is z?\nAnswer: -1\/4, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3*r + 8\/3 - 8\/3*r**2 - 2\/3*r**3.\nAnswer: -2*(r - 1)*(r + 1)*(r + 4)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 113\/114 + -187\/57. What is the common denominator of s and ((-6)\/(-16))\/((-2)\/(-200))?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -2008, -2006, -2004, -2002, -2000, -1998?\n\"Answer: 2*j - 2010","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -2547 + 5093 - 2546 + 1228*d in the form v*d + i and give v.\nAnswer: 1228","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -579*b + 108850 = -3689*b for b.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j + 535 = -27*j - 2657 for j.\nAnswer: -28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -22 + 18. Let q be (0\/(h\/(-4)))\/(-1). Let m(b) = b**2 + 3*b - 9. Let j(o) = o**2 + 2*o - 8. Let d(z) = 4*j(z) - 3*m(z). Determine d(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m = 3*p - 0*m - 5701951, 3*m - 12 = 0. Suppose p = -a - 9799355. What is a rounded to the nearest one million?\nAnswer: -12000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - c**2 + 8*c - 62. Determine x(-5).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zz when two letters picked without replacement from {g: 2, z: 2, c: 10, t: 3, r: 2}?\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/b**(-7))\/(b\/b**10))\/(b**(1\/4)\/b*b)**31 assuming b is positive.\nAnswer: b**(41\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) be the third derivative of -j**5\/120 - 25*j**4\/8 - 2*j**2 + 150. Let h(k) = 0. Calculate k.\nAnswer: -150, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 116716154231 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 16520317 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-2058)*9870\/40 - 8\/14\nAnswer: 19\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2590707*q**2 - 2 - 3 + 5.\nAnswer: 2590707*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ecbj when four letters picked without replacement from jebjcgcicjjbcbc?\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zzzom. Give prob of sequence mo.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 36 + 4 = 0. Let k be (6 - 1)*b\/(-20). Find the common denominator of -34\/3 and 7\/(-14)*59\/k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let w be 12\/(-16)*4\/(-6). What is the closest to w in r, -4, -5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11888869 to the power of 1\/2, to the nearest integer?\nAnswer: 3448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4832\/27784*-253*3\/(-42)\nAnswer: 22\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7086 - 6831. Let z = 50 + -35. Calculate the highest common factor of z and q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes before 4:26 AM?\nAnswer: 8:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 52149 or 51424?\nAnswer: 52149","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/70 and 29\/450.\nAnswer: 3150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.4, 16, 0.0051, -5?\nAnswer: 0.0051","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 7:02 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -400 greater than 52?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 3*k = -5*k + 18, -2*k = a - 13. Suppose -a*u + 3*b - 5*b = -11, -3*b = 2*u. What is the highest common divisor of u and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seventy-five eighths of a microgram in nanograms?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -136, -573, -1294, -2293, -3564, -5101?\n\"Answer: r**3 - 148*r**2 + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -16874, -16872, -16870, -16868, -16866?\nAnswer: -16864","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3317217503?\nAnswer: 67, 1223, 40483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -4*g**4 + 8*g**3 + 33*g - 41. Let f(t) = -3*t**4 + 5*t**3 + 23*t - 27. Let a(h) = 7*f(h) - 5*n(h). Find the second derivative of a(o) wrt o.\nAnswer: -12*o**2 - 30*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*v - 9 - 79 = 0. Suppose -v*g + 196 = -872. Is 23 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1755133 rounded to the nearest 100000?\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 1.720117 days?\nAnswer: 148618108800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 968410 a multiple of 46?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 30*s + 17 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 180963.4 millilitres in litres?\nAnswer: 180.9634","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -20\/9 (b) 5 (c) -3598 (d) 113\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443*j**4 - 51*j wrt j?\nAnswer: 5316*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 15014 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(420)\/(sqrt(12) + sqrt(132)\/sqrt(11)) + sqrt(35))\/sqrt(7) + sqrt(55)\/((sqrt(110)*4)\/sqrt(10))))**2.\nAnswer: 245\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3 - 2. Suppose -18 = 5*f - 2*y + 3*y, 5*y + 6 = 3*f. Suppose 5*r + 4*a = -13, a = 4*r - 3*a - 4. Put f, r, i in descending order.\nAnswer: r, f, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is u in -8*u**3\/7 + 1668*u**2\/7 - 18124*u\/7 = 0?\nAnswer: 0, 23\/2, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*q - 13*q - 3*q**2 + 6*q**2.\nAnswer: 3*q**2 - 15*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -585 + 35.990783712\nAnswer: -549.009216288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7211 - -7228. Solve -17*x - g = 34 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ffcffccfffccc. What is prob of sequence fcc?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 3\/4, -12\/1075, 2, -0.2, 0.4, 4, -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5\/58 - -167\/87. Let d = u - 3. What is the common denominator of -101\/6 and d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = h**3 + 11*h**2 - 24*h - 6. List the prime factors of f(-7).\nAnswer: 2, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 54 is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, m: 9, n: 1, w: 4, b: 4}. Give prob of sequence mbnf.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 29445.14126 rounded to the nearest ten?\nAnswer: 29450","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (12\/(-9) - -2)*-9. Let h be (q\/(-5))\/((-2)\/(-5)). Suppose -4*z = 3*x - 13, -h*z = 2*x + z - 10. Solve x*l = 4*l - 3 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -214 = -5*m + 14*g, 156*m - 70 = 151*m + 5*g for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bppe when four letters picked without replacement from {b: 1, p: 2, i: 4, e: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9732*j**2 - 2202*j**2 - 765*j**2.\nAnswer: -12699*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sum -5 and -8352.\nAnswer: -8357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2712 divided by -678.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*u - 24*u + 124 = 15*u. Solve u = -18*k + 16*k - 2*s, -3*k + 2*s = 6 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*r - 55*r - 66*r to the form v*r + f and give v.\nAnswer: -144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1948, 1774, 1600, 1426, 1252, 1078?\nAnswer: 904","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = -p**3 + 20*p**2 - 6*p + 116. Let k be r(20). What is the second biggest value in 1\/8, -0.07, k?\nAnswer: -0.07","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 6\/15 + (-13)\/(-135)*167. Let g = -6637\/270 + v. What is the common denominator of g and -103\/120?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 426901804?\nAnswer: 2, 7, 19, 23, 139, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*t + 0*t = -144. Solve 6*m - 6 = -t for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4)\/(6\/(-3)) - (1 + -4). Suppose x + 3 = 2*s, -4*s + 7 = -f. Suppose 4*z = 4, -d + x*d - 3 = z. Solve -15 = d*m - 3*m - 5*a, -9 = 2*m - 3*a for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d**3 - 3*d**2 - d - 1. Suppose 0*o = 5*o + 10. Let h be w(o). Find the second derivative of -6*m + 3*m + 5*m**h - 2*m**5 wrt m.\nAnswer: 60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, w: 12, u: 1, j: 2, o: 1}. What is prob of sequence oou?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 143 - 85. Let i(j) = -j**3 + j + 3. Let r be i(3). Let u = r + g. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -181 - 16*d + 89 + 98. Calculate the remainder when y(-2) is divided by 6.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2565121 to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -20, -27, -40, -59?\n\"Answer: -3*o**2 + 2*o - 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**(-1\/3))**(-2\/21)*k**(-8)\/(k*k**0))\/((k\/(k*k**(-1\/3)))**(-13\/5))**32 assuming k is positive.\nAnswer: k**(5911\/315)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) be the first derivative of 1\/4*f**4 + 7*f + 11 + 7\/3*f**3 + 1\/2*f**2. Determine n(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24948?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*l + 48*l - 364 + 48*l + 512 - 147*l.\nAnswer: l + 148","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/((-4)\/(-14))*1. Suppose -5*x + 1 = -2*b - 2*b, -k = b + x. Put -1, 2, b in ascending order.\nAnswer: b, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 18798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**10*m*m\/m**23)**(-10))**(-1\/24) assuming m is positive.\nAnswer: m**(-25\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 279587255?\nAnswer: 5, 47, 107, 11119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*l - 268*l - 200*l - 117*l - 189*l.\nAnswer: -657*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1871950889670 and -11.\nAnswer: -1871950889681","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 15*z**2 - 51*z + 36. Does 5 divide m(18)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 22*c**2. Let q(h) = 2999*h - 2. Determine q(a(o)).\nAnswer: 65978*o**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -4*z - 3. Let b be u(-2). Let j(s) be the third derivative of -s**4\/8 + 7*s**3\/6 - 4*s**2 - 7*s. Determine j(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*a*h*u - 4*a*h - 14*h*u + 6*h wrt u?\nAnswer: -3*a*h - 14*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -10562161 + 1?\nAnswer: -10562160","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 78596*b + 47263 wrt b.\nAnswer: 78596","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -3*a - 5*v + 165, -v + 3 = 0. Suppose 25*j - 615 = 28*j. Let s = -165 - j. Calculate the greatest common divisor of a and s.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-23017\nAnswer: 6905.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -2*t**2. Let h(y) = 55*y**2 + 78*y**2 - 105*y**2. Give j(h(r)).\nAnswer: -1568*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-2 - -1)\/(4\/8). Let z(i) = 2*i - 9. Let k be z(6). Let y = k + j. Solve -3*b - 4 = -y for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*r + 1957*r**4 - 1964*r**4 + 2*r**3 - r - 10 to the form y*r**2 + b*r**3 + c*r + a + d*r**4 and give a.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 divided by 24?\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**2 - 22*a*j**2*z**2 - 56*a*z**2 + 116*j**2*z + 4*j*z**2 + 4*j*z wrt a.\nAnswer: 2*a - 22*j**2*z**2 - 56*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28942 is divided by 28934.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -2*n - 3, -3*n = 4*v - 3. Suppose v = 4*k + 4*c - 1 - 35, 0 = -5*k - c + 53. Let u = 19 - k. What is the units digit of u?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 215103590*p**3 + 83977*p**2 - 13*p + 3 wrt p.\nAnswer: 1290621540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = 4*s + 3*i, 0*i + 16 = 2*s + 5*i. Find the second derivative of 160*t**2 - 23 + t + 11 + s + 3*t wrt t.\nAnswer: 320","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xioxotoqxixxx. What is prob of sequence xoi?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 253 + -275. Let z be (-48)\/p - (-6)\/(-33). Solve -z*g + 16 = 2*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*z - 3*z - 5 = -2*v, 5*z = v + 5 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 3\/8, 0.5, 1\/4, -2\/103, -2\/7 in descending order.\nAnswer: 0.5, 3\/8, 1\/4, -2\/103, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -129063 - -903437\/7. Let k be 2\/8 - (-3)\/(-44). What is the nearest to -1 in t, -1, k?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -10*m**2 + 3*m**2 - 7*m**2 - 2 - 2*m + m**2 to the form a*m**2 + p + z*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate c**3*g*r**2 - 13*c**3*r*t + 2*c**2*g*r**2 + 13*c*g*r**3 + c*r - 174*g*t + 8*r**3*t + r**2 + 66 wrt t.\nAnswer: -13*c**3*r - 174*g + 8*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 43138381?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2327*i + 437467. Give f(-188).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 + 4*k**2 - 2*k - 5. What is the units digit of x(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) = -14393*v. Let z(s) = -s**2. Calculate z(d(f)).\nAnswer: -207158449*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -191*k + 192*k - 22 = 0. Suppose -18*r - 4 = -k*r. Let t(o) = 4*o**3 + o**2 - o. What is t(r)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 95110556 and 6228.\nAnswer: 692","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 8935.532ng?\nAnswer: 0.000000008935532","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 25\/(-15)*162\/18?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**3 - 16*s**2 + 75*s - 77. Let o be u(5). Solve -37 = o*f + 55 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*x + 15*x - 5*g = 1, -5*x + 23 = -4*g for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + (7 - -1 - (-12 + 19)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 849, 857, 867, 879?\n\"Answer: a**2 + 5*a + 843","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -41430, 9, -3.\nAnswer: -41430, -3, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26688, 52844, 79042, 105282, 131564, 157888, 184254?\nAnswer: 210662","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -12 (b) -0.1 (c) 0 (d) 2\/1585 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of -t**6\/3 - 3*t**5\/5 - 1031*t**4\/4 + 5560*t**3\/3 - 7964. What is the third derivative of l(b) wrt b?\nAnswer: -120*b**2 - 72*b - 6186","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 96 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 - -2. Let o = h + -6. Let u be (2\/8)\/((-15)\/12). Which is the nearest to u? (a) 4 (b) -0.5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 2*n**2 - n - 1. Let v(u) = -86*u**3 + 4*u**2 - u + 2. Determine 2*f(r) + v(r).\nAnswer: -88*r**3 - 3*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(187) + sqrt(187) + 3*sqrt(187)*1 + -3*sqrt(187)*1)\/(sqrt(1188)\/sqrt(3) + sqrt(704)*-4))**2.\nAnswer: 17\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7.89999848 - 7.9. Round v to six decimal places.\nAnswer: -0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 63 = 2*j + n + 408, -5*j + 4*n = 882. Let k = j + 304. Calculate the greatest common divisor of k and 52.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -2\/11, -1, -6\/7?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(sqrt(45)*-4 - (-1 + sqrt(5) + 3)).\nAnswer: -52*sqrt(5) - 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*n**4 - 2*n**2 + 2*n**2 + (0*n + 0*n + n**2)*(3*n**2 - 2*n**2 + n**2) - 4*n**4 + 2*n**4 + 4*n**4 - 125*n**4 - 29*n**4 + 291*n**4.\nAnswer: 139*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s**(1\/12)*s**(2\/23)*s**(-2)\/s**(2\/11))**(-28) assuming s is positive.\nAnswer: s**(42749\/759)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - 5*a = 42, 2*a = 4*u - 2*a + 88. Let w = 74 - u. Is w a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*u + 4 + 2. Let g(k) = 5 - u*k + 0 - k**2 + 1 + k. Determine g(0).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1811*5976\nAnswer: 10822536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l + 5*j + 30 = 7*l, 5*l - 3*j = 20 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (-162)\/(-144) + 15\/3 and 3\/11.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -d**2 - 2*d + 5. Let x(m) = 2*m**2 + 4*m - 10. Let c(i) = 11*b(i) + 6*x(i). Suppose 2*l + 2 = -6. Give c(l).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**2 - 7*o - 11. Let c be y(-5). What is the tens digit of ((-4572)\/144)\/(c\/24)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 13 - (-9 - (14 - -27)). Calculate the greatest common divisor of s and 153.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 (base 16) in base 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 33341108975\/3532 + -9439725. Let w = b - 2563667\/49448. Let g = 849\/14 + w. Calculate the common denominator of g and -55\/6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112 a factor of 46144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 496 + 127. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -y**5 + 5*y - 5*y + (-12*y**2 + 8*y**2 - 74*y**2)*(3*y**3 + y**3 - y**3).\nAnswer: -235*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(5\/5*1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + 1 + 0 + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -145 = -34*g - 43. Suppose 0 = n + 4*y - 8, y - g*y + 6 = 0. Which is the third biggest value? (a) 2\/7 (b) -1\/4 (c) -4\/7 (d) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 90 - -28. Let a = 123 - v. Sort 3, 22, -2, a in descending order.\nAnswer: 22, a, 3, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -113 - -139.2. Let s = 199.2 + -209. Let g = s + o. Round g to zero dps.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 17*j**4 + 3*j - j**3 - 16*j**4 + 1 - j**2 + 2*j**3 to the form c*j**3 + o + h*j**4 + p*j**2 + d*j and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 2 p when three letters picked without replacement from {g: 2, p: 3, k: 2, l: 4}.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -262, 3241, 14110, 36029, 72682, 127753?\nAnswer: 204926","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 19, 42, 75, 124, 195, 294, 427?\nAnswer: 600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zddq when four letters picked without replacement from {d: 2, m: 1, q: 6, z: 2, f: 1}?\nAnswer: 1\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(-3)*21\/28. Which is the closest to 2? (a) 0.5 (b) -5 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is b in 121*b**5\/3 + 3799367*b**4\/6 + 3078566*b**3 - 25410017*b**2\/6 + 1475336*b\/3 + 31390 = 0?\nAnswer: -15695, -6, -1\/22, 2\/11, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 104*a**2*b**3*s - 22670669*a**2*b**2*s**2 + 24*a**2*s - 2*a*b**3*s**2 + 58*a*b**3 wrt s.\nAnswer: -45341338*a**2*b**2 - 4*a*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 20*x. Let j(p) be the third derivative of p**6\/120 + 73*p**4\/12 + p**2 + 101. Let u(f) be the second derivative of j(f). Determine m(u(d)).\nAnswer: 120*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1.9 + 17.9. Let z = t - 7. Let v = z - 2.8. What is v rounded to 0 decimal places?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1222714 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -99 - -397\/4. Which is the second smallest value? (a) 23 (b) v (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -3*j**2 + 44*j + 52. What is p(20)?\nAnswer: -268","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 5 + 2*p**2 + (4*p - 3*p + 0*p)*(2*p - 2*p + p) + 2*p**2 - p**2 - 5*p**2)*(1 - 2 - 1)*(-3 - 4 - 5).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 76*k**4 - 16*k - 5.\nAnswer: 912*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (936\/(-3042))\/(66\/39).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:46 AM and 4:04 PM?\nAnswer: 318","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1145? (a) -1\/2 (b) 2 (c) 23 (d) -5 (e) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b - 6 - 0. Suppose b*h + 4 + 6 = 0. Let t = 12 - h. What is the units digit of t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 92379 is divided by 8397.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h + 6 = g - 2*h, 24 = 2*g - 5*h. Find the third derivative of 2*p**2 + 2*p**3 + p**3 + p**g - 2*p**3 wrt p.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -51\/212945132 and 127\/1896.\nAnswer: 1277670792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1694, -1696, -1698?\nAnswer: -1700","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-295)\/200*-2 + -2 + (-13)\/(-52). Which is the biggest value? (a) 718 (b) z (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-116)\/(-29)*2\/28?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/7, -1\/2, 10, 3, -0.8 in increasing order.\nAnswer: -0.8, -1\/2, 2\/7, 3, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 15947511 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -6*q**2 + 551*q - 85. What are the prime factors of k(37)?\nAnswer: 2, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 36 and 216?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -1751, -1752, -1753, -1754, -1755, -1756?\n\"Answer: -l - 1750","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 63 and 178269?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35 = -2*r - 9*j, 2*r + 6*j - 427 = 4*r - 387 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 p and 1 v when two letters picked without replacement from pvmnuwvunmumwww?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -1.7, -4\/53, 559, 2\/31 in increasing order.\nAnswer: -1.7, -4\/53, 2\/31, 4, 559","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = w**3 - 7*w**2 + w + 3. What is u(7)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**2 + 144*w - 6 - 131*w - w**2. Let p be d(5). Let -65 - 6*h**2 - 3*h**5 + p*h**4 - 6*h**3 - 64 + 9*h + 126 = 0. Calculate h.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 2758?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -s**3 - 6*s**2 - 3*s + 4. Let c be n(-6). Let d = 24 - c. Solve 2 = 3*u - 4*o, u - d*o + 3 = 3*o for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1099.214.\nAnswer: 549.607","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 146 divided by 1\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 8\/(-52) - (-4 - (5208\/234)\/(-7))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2961821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 3*f = 5*f + 584, -2*o = -2*f + 280. Let y = -140 - o. Solve 2*l - 4*t + 5*t = -y, -4*l - 3*t = 10 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/105)\/(7*17\/(-595)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 50679764*z - 115481468 wrt z.\nAnswer: 50679764","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 326*x - 781*x - 922*x + 106029 for x.\nAnswer: 77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m\/(m*(m\/m**(2\/19)*m*m)\/m))\/m**(1\/5)*(m**4)**(11\/5) assuming m is positive.\nAnswer: m**(732\/95)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -233 (base 6) to base 9.\nAnswer: -113","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 + 70\/(-25))\/((-4)\/(-10)). Suppose 4*b - o*b + 328 = 0. What is the tens digit of b?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 4 + -352?\nAnswer: -346","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve o = -0*y - 2*y + 4, 3*o = 5*y + 1 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*z**5 - 1892*z**4 + 360*z**2 - 80 wrt z.\nAnswer: 5940*z**2 - 45408*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1218 - 14615\/12. Let y(r) be the first derivative of h*r**2 + 0*r - 1\/18*r**3 - 7. Factor y(z).\nAnswer: -z*(z - 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1776 and 3676.\nAnswer: 1632144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) be the first derivative of -3*p**4\/4 + p**3\/6 - 3*p**2\/2 + 3. Let x(b) be the second derivative of h(b). List the prime factors of x(-1).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -96, -205, -324, -447, -568, -681, -780?\nAnswer: -859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 8.98039 years?\nAnswer: 107.76468","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 552 and 373902.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2048 or 2050?\nAnswer: 2048","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 84. Suppose -4*m - m = -u. What is the third derivative of -m*c**5 - 4*c**5 - 2*c**5 + 2*c**2 + 18*c**5 wrt c?\nAnswer: 180*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2293 times -0.24?\nAnswer: -550.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 700?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -m**2 + 4*m + 3. Let t be y(-2). Let r be ((-6)\/(-4))\/(t\/(-5)). Which is the smallest value? (a) r (b) 10 (c) -0.1 (d) -3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - 5d?\nAnswer: -5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (5 - 2)*(-1)\/1. Let n(c) = 4*c + 2 - 10*c**2 - 13*c**2 - 7*c**2 + 31*c**2. Let w(i) = 3*i**2 + 12*i + 6. Let q(j) = 7*n(j) - 2*w(j). Calculate q(r).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 170253153?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9713, -19572, -29431?\n\"Answer: -9859*r + 146","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -4*p + 228, -4*o - o + 35 = p. Let n = 78119\/9 - 8735. Let m = p + n. What is the third smallest value in m, -4\/7, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -10, l + 2 = 2*h + 5. Suppose -2 - l = q. Is 7692\/(-36)*q\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*a + 6*a - 13*a + (0 + 0 + 2)*(-2*a + 2*a + 2*a))*(-9 - 3 - 5) to t + y*a and give y.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -8*o**2 - 261598*o + 65400 = 0.\nAnswer: -32700, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 537, 583, 661, 765, 889, 1027, 1173?\nAnswer: 1321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -38*z + 10*z**2 + 38*z to p*z + s + g*z**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(4 + sqrt(208) + -4*sqrt(208)*-2 + sqrt(208) + sqrt(208)).\nAnswer: -264*sqrt(13) - 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:24 AM and 10:26 AM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**2 - 16836*v - 2633440.\nAnswer: 4*(v - 4360)*(v + 151)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2 - 1*(-3 + 5*6480001). What is k rounded to the nearest one million?\nAnswer: -32000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n + 12. Let c be g(10). Let w = -802 + 1383. Suppose c*f = f + w. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 10*b**2 + 8*b - 56. Let x be i(2). Let w(q) = 2*q**2 - 3*q + 2. Let z be w(2). Solve x*v = -2*v + z for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -109*p**2 + 12*p - 4. Calculate y(1).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 2*h**3 + 10*h**2 - 2*h - 10. Let s be i(-5). Let r be 2\/(-2) - (-20)\/22. Do s and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8771534587 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -3000 divided by -24?\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 63 and 777?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 2*o**2 - 2*o - 3. Let a(z) be the first derivative of z**2\/2 + z - 235. What is 2*a(u) + y(u)?\nAnswer: 2*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-19 - (-984)\/48)*28*4\/8.\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**2 - 6*r + 6*r)*(-5*r - 7*r + r) + (-2*r + 0 + 0)*(-2*r**2 + 2*r**2 + r**2) + 0*r**3 + 3*r**3 - 6*r**3.\nAnswer: 6*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-228 - 70 - 90 - 143)*(50*l**3 + 3 - 2*l**4 - 50*l**3) in the form t*l + q*l**3 + b + j*l**2 + h*l**4 and give h.\nAnswer: 1062","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17697?\nAnswer: 3, 17, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g - 19. Let m(h) = -11*h + 114. Let n(u) = 6*b(u) + m(u). Let p(j) = 4*j - 4*j - 2*j. Calculate n(p(w)).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 538506.2 or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-41)\/(1599\/52))\/(7\/14).\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 167080 and 80.\nAnswer: 334160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 44*g**3 - 4*g**2 + 4*g - 4. Let y(v) = -44*v**3 + 5*v**2 - 5*v + 5. Determine -5*n(l) - 4*y(l).\nAnswer: -44*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28908449 + 243784209 = 440*x. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1\/51 + 6\/17. Let v = -1 - -3. Suppose d - v*d = 0. Does x = d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2237 - 1.7763. Which is the smallest value? (a) 3 (b) 3\/5 (c) 2\/599 (d) -0.3 (e) p\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1.243675 * -4\nAnswer: -4.9747","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + 111110000?\nAnswer: 111110000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -370235975 - 370235976 - 12*z + 740471949.\nAnswer: -12*z - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -299105 times 955\nAnswer: -285645275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = 14*v**2 + 6*v + 26. Let o(d) = -5*d**2 - 2*d - 9. Determine 17*o(n) + 6*q(n).\nAnswer: -n**2 + 2*n + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 4*l**2 + 5*l - 2. Let i be s(3). Suppose 0 = -i*n - 5*k + 141, n - 46 = -5*k - 7. Is n a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (11 + -25)*(32\/28 - 2). Solve 0 = -6*c + d*c - 12 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 10531 to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c**2 + 17*c + 46. Let d be y(-14). Solve -4 = d*z - 2*z for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18338967 divided by -112509.\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -10881 divided by 3?\nAnswer: -3627","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/165200002 at least 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -49\/6 and 19\/48?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*r = 143*r - 2295 for r.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*q + 4*q - 4*q + (-q + 0*q + 2*q)*(2 - 3 + 0)*(3084 - 4713 + 2506).\nAnswer: -879*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 982337 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 224692 to the power of 1\/3, to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1247.\nAnswer: 29, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d + 131*i - 19 = 135*i, 2*i = -2 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*m = 11595 - 65775. Does 16 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6511 (base 7) to base 8\nAnswer: -4407","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 0\/(5 - 7) + 5269 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 14, 58, 132, 236?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + 7*m**2 + 8*m + 10. Let y be b(-6). Let f be ((-66)\/(-44))\/(y\/(-4)). Suppose f*r + t - 1 = 185, -3*r = 5*t - 174. List the prime factors of r.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1720 + 1066. Let g = 660 + j. Which is greater: g or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 48 = -3*c, 5*x = 5*c + 8*x - 80. Let y(g) = g**2 - 17*g + 18. Let p be y(c). Suppose 3*r - 1 - 5 = 0. Solve -r*m = -6, p*m + 3*m = -5*o - 5 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 157.6205 kilometers in nanometers?\nAnswer: 157620500000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from cggr. What is prob of picking 1 g and 1 r?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 1561?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -68710, -68077, -67446, -66817?\nAnswer: -66190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*b**4*i + b**3*i - 7*b**3 - b**2*i + 434*b*i wrt b?\nAnswer: 48*b*i + 6*i - 42","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -2*y**2 - 4*y + 11. Let i be (-2 - (-1 - 0)) + (-60)\/30. Let a(x) = -5*x**2 - 13*x + 32. Let u(o) = i*a(o) + 8*f(o). What is u(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/3 in -0.02, 0.4, -2\/11, -3?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -109 (base 13) in base 10?\nAnswer: -178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-5)\/(50\/(-4)))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is x in -2*x**4\/7 + 6014*x**3\/7 - 647148*x**2 + 13548040*x\/7 - 9024016\/7 = 0?\nAnswer: 1, 2, 1502","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2033 > 1779?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = -2*v**2 + 18*v - 6. Let s be a(8). Let g(q) = -s + 0 - 2*q + 7. Calculate g(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2, 1\/673824, 0.11?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16 - 92 = -36*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -5 and 704151.6268511?\nAnswer: 704156.6268511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2.78 or 2143?\nAnswer: -2.78","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 268525 or 268526?\nAnswer: 268526","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 500 + -1024. Let z be 34\/187 + u\/(-22). Suppose z = 2*y - d, 0 = -2*y - 3*y - d + 67. What is the remainder when 34 is divided by y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((-1*sqrt(252))\/sqrt(6) - -2*sqrt(5082)))\/((sqrt(72) + 2*sqrt(72)*-1)\/(sqrt(60)\/(2*sqrt(5)))).\nAnswer: -63*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in g**2 - 5*g**2 - 2 + 2 - 2*g**2.\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*u - 2*u + 4*u + (1 - 1 - 2*u)*(-2 + 4 - 4) + u + 4*u - 3*u + (2*u - 2*u - u)*(-2 - 1 - 1) to o*u + n and give o.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*sqrt(20)*6)**2 + (sqrt(20) - ((sqrt(20) + -1*sqrt(1280))**2 - sqrt(20))) - (-5*(sqrt(125) + sqrt(125)*1)*-1 + 0).\nAnswer: -46*sqrt(5) + 24940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 3*x = -4. Let z(i) = 4 + 2*i**x - 1 - 3. Let m(v) be the second derivative of -v**3\/6 - 203*v. What is z(m(f))?\nAnswer: 2*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -5*d**3 + 3*d**2 - 111*d + 108. What is u(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -544513032 (base 6) in base 2?\nAnswer: -100101001011001110001100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 49 minutes before 8:37 PM?\nAnswer: 7:48 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*p**3 - 5*p**3 - p**3 + (-p**2 - p**2 + 0*p**2)*(-2*p + 0*p + 3*p) - 3*p**2 + 3*p**3 + 3*p**2 - 2*p**3 - 1 + 1 - 2*p**2 + p**3 + 2*p**2.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 6. Let y be w(5). Suppose -y*z = -6*z + 18. Let r be (-236)\/(-814) + z\/33. Is 0 > r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r - 5*a - 35 + 40 = 0, 4*r + a - 1 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*c**2 + 144*c + 459.\nAnswer: -3*(c - 51)*(c + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the second derivative of n**7\/420 + n**6\/360 - 3*n**3 + 7*n. Let d(v) be the second derivative of w(v). Give d(2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43 - 82 = -5*i. Calculate the remainder when i is divided by 7.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 581 - 83 = -46*q - 8 for q.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 26659665?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.3 (b) 114865 (c) -67\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6725 - -5?\nAnswer: 6732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3846977 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 14\/(-112)*12\/(-9).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-24)\/(-16))\/((-6)\/(-52)). Let m = t + -10. Solve 5*k = p + 3*p + 37, 0 = -2*p - m*k + 9 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 50079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1)*r)**(-10)*(r\/(r*r**(-1)))**27 assuming r is positive.\nAnswer: r**27","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = -3*l - 5*y, 5*l - 2 - 8 = y. Let w be -11*(-1)\/1 + l. What is the highest common divisor of 96 and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10 + -4. Suppose 2*x - 5*l - 36 = 24, -5*x + 3*l + 131 = 0. Let j = x + c. Is 11 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -7*x + 11. Let z(o) = 15*o - 24. Let m(s) = 13*n(s) + 6*z(s). Let p(q) = -1. Let f be 1\/3 - 2\/(-3). Let y be (2\/4)\/(f\/(-2)). Calculate y*m(t) + p(t).\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 5*c = -c + 224, -4*c + 112 = 2*u. Suppose 0 = -0*d + 4*d - u. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.4 and -21339596.431925.\nAnswer: -21339596.031925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 117.26612 rounded to 0 decimal places?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 56 (base 10) to base 13\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*(t\/t**(-1\/2))\/t*t)**7*t**(-2)*t*t*t*t\/t**0*t)\/((t\/(t\/((t*t**(1\/4)*t*t*t*t)\/t)))**(-3\/14)\/(t**(-3\/7)\/t**(-8))) assuming t is positive.\nAnswer: t**(1623\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3226, 5.\nAnswer: -1, 5, 3226","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2316631, 4633266, 6949901, 9266536, 11583171?\nAnswer: 13899806","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26 - -29. Let t(o) = -o**3 + o**2 - o + 2. Calculate t(x).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-72)\/63 - -1)\/(3\/(-21))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 104*j - 2304 = -123*j + 7003 for j.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 47687?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -21 - -15. Let h(u) = 400002*u + 12. Let v be h(a). What is v rounded to the nearest one million?\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = s**2 - 109. Let r be f(9). Let t(z) = -2*z**2 - 56*z - 2. Let i be t(r). Which is the nearest to i? (a) -1\/4 (b) -0.5 (c) 0.1 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of -j**3\/3 - 4*j**2 + 58*j - 18. Let y be t(-12). Solve 3*p + r + r = 2, -p + 4*r + y = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i - 3*i + i)*(i + 1 - 1 + (-5 + 2 + 1)*(i - 3*i + 3*i))*(-41*i**2 + 40*i**2 - 40*i**2).\nAnswer: -82*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 1621 + -489. Let b be (h\/8)\/((-1)\/(-2)). Let z = -159 + b. What is the highest common divisor of 31 and z?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 263 + 3*c + 0*c - c + 128 in the form m*c + x and give x.\nAnswer: 391","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11138 - -19897. What are the prime factors of p?\nAnswer: 19, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*w + 17 = -2*v - w, -17 = 5*v - 4*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 - -4. Suppose -g = -k*g. Suppose -3*d + 4*d = 2. Put g, d, 5 in increasing order.\nAnswer: g, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 16\/6 - (32\/12)\/4. Suppose 0 = -4*c - 3*l - 2 - 22, -c - 11 = t*l. Let d(a) = -90*a**3 - 2*a**2 + 7*a + 2. Is d(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127.44 + 334.49. Let y = q + -462. What is the smallest value in -0.3, 4, y?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4206*c + c**3 + 4*c**3 + c**3.\nAnswer: 6*c**3 + 4206*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2, 8, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*o + 6*o + o)*(0 - 2 + 0) + (2 - 1 + 1)*(-o + 0*o + 3*o) - 4*o + o + 4*o + (0 - 3 + 1)*(6*o - 2*o - 3*o) - 1 + o + 1 as n*o + j and give n.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2035139908.\nAnswer: 2, 6737, 75521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 divided by 1269?\nAnswer: -5\/1269","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + (0 + 2 - 13). Let f(w) = -2*w**3 + 40*w**2 - 2*w - 47*w**2 + w**3 + 11*w + 0*w**3 - 11. Determine f(t).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-216)\/(-15192)*211*19\/6*-2?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*2*sqrt(143))\/(sqrt(176)*-1)*-2*-4 + -4.\nAnswer: -20*sqrt(13) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -6921\/16 - -432. Suppose -p = -3*p - 200. What is the common denominator of j and 230\/p + 1\/4?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*j**2 - 8*j**2 + 589*j + 597*j - 1185*j.\nAnswer: -23*j**2 + j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 divided by -8?\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 45890 + -21609. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/49 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -13\/62 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -62\/21 and -3 + 2\/((-6)\/(-50)*-16)?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2928333719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, 1\/918, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 120775691?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -184 + 1290\/7. Sort 0, x, 0.3 in increasing order.\nAnswer: 0, x, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q**2 - q**3 - 3*q**2 + (7 + 0 - 2)*(-2*q**3 - 3*q**3 + 3*q**3))*(q**2 + q**2 + 11*q**2).\nAnswer: -143*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wfwwwfw. What is prob of sequence wfwf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*i + 3*i = 81. Suppose 2*n + 10 = 4*c - 24, 0 = -2*c - n + i. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (1*(-4)\/(-6))\/(8\/(-4))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 15\/(-1380)*-69*(116\/(-36) + 3)\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4376 and 332029.\nAnswer: 547","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:03 PM and 5:32 AM?\nAnswer: 689","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15632*j**2 - 25541*j**2 + 129537*j**2.\nAnswer: 119628*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 5*x - 30 = 0, -24*u + 28*u - 30 = 2*x for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -3642.762 plus -0.02719064?\nAnswer: -3642.78919064","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 403*t - 1616 = 4429. Suppose -4*k - 12 = 0, 0 = -3*g + 2*g + 4*k + 16. Solve t = c - g*c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.1815*2874\nAnswer: 521.631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 5208.5 - 4850.97. Let f = -359 + u. What is f rounded to one dp?\nAnswer: -1.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 183 - 342. Let m = 164 + o. Which is the nearest to -0.1? (a) 2 (b) 0 (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 987184146?\nAnswer: 2, 3, 13, 47, 269281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 55\/2 of a litre in millilitres?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -691 + 1051. Suppose 4*i - t = 444. Suppose 5*c + 26 - i = 0. Calculate the highest common divisor of c and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1190*u**2 + 177*u**2 + 501*u**2)*(4 - 4 + 3) to h*u**2 + i + l*u and give h.\nAnswer: 5604","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -1. Let p(g) = g - 1. Calculate -j(i) - 2*p(i).\nAnswer: -2*i + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that -3*r**5 + 264*r**4 + 13863*r**3 + 124476*r**2 + 256032*r = 0.\nAnswer: -28, -8, -3, 0, 127","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68 = 3*k + 62 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/6424 and 57\/2948.\nAnswer: 430408","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = 3*f - 3. Suppose -3*n - 22 + 4 = 0. Let j = 8 + n. Let o(t) be the third derivative of -t**4\/24 + t**3\/6 + 16*t**2. Give j*o(l) + i(l).\nAnswer: l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5)\/7 + 0 + (761\/(-7))\/(-2107 + 1952).\nAnswer: -2\/155","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -39, -105, -197, -315?\n\"Answer: -13*q**2 - 27*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 808\/141198*(-36)\/24.\nAnswer: -2\/233","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((-3 + -1 + sqrt(32))**2 - (-1 + sqrt(98) + 1)).\nAnswer: -39*sqrt(2) + 50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 10404.\nAnswer: 1\/3468","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*a**3*k - 2*a**3 - 78*a**2*k + 5536374*a**2 + 61979*a*k + 2*k + 9 wrt k.\nAnswer: 2*a**3 - 78*a**2 + 61979*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.3? (a) 0.3 (b) -57 (c) 0 (d) -21 (e) 3.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 471413?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 115 a factor of 32289470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does 906 divide 266366243?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 36601 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 304848?\nAnswer: 2, 3, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 85835 is divided by 90?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 1000010001110000010 (base 2) in base 4?\nAnswer: 1002032002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.1 - 5.1. Let d = -56 - -55.55. Let w = 4.45 + d. Which is the closest to -1? (a) x (b) w (c) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-7)\/(-2))\/(6\/84). Suppose j - 3*x = 73, 5*x = -2*j + t + 75. List the prime factors of j.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 8c2b6 + -19?\nAnswer: 8c29c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-45)\/(-6)*(-6)\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 53.889 + 0.111. Let n = f - 50. Let q = 0.15 + 0.05. Which is the third biggest value? (a) n (b) -0.5 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve h**4\/7 - 54*h**3\/7 - 577*h**2\/7 + 90*h = 0.\nAnswer: -10, 0, 1, 63","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -200 + 314. Let k = 111 - s. Let y(z) = 2*z - 4. What is y(k)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*l = -11*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 != 2571\/2980?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98534 and 1938.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 500009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -638*h + 635*h + 5*n - 33 = 0, 6*h + 24 = -4*n for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g + 28 = 3*g + 2*d, 4*d + 16 = 2*g. Let j be 4\/(-6) - ((-6)\/2 - -3). Which is bigger: j or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.3 (b) 3\/4 (c) 2 (d) 259.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -11 + 15 - (-3 - -2). Suppose 2*d + p*y - 94 = d, -d = 4*y - 89. What is the tens digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**5 + 1208137*k**4 - 364901773016*k**3 + 1824478661780*k**2 = 0.\nAnswer: 0, 5, 604066","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 10221033233 (base 4) in base 3?\nAnswer: 2021212010022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1.4 + -1.3. Which is bigger: f or 0?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -121*p**3 - 5*p**2. Let n = -9 - -4. Let f be d(n). Round f to the nearest ten thousand.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1050 + 1049.8983. Let l = u + 0.1316. What is l rounded to three dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4.406543 - -1.\nAnswer: -3.406543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(8\/7)\/a*a**5)**(1\/8) assuming a is positive.\nAnswer: a**(9\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = 15*c**2 - c - 9. Let w(v) = 8*v**2 - 5. Let o(a) = 5*w(a) - 3*z(a). Suppose 1 = -3*s + 19. Let n(q) = q**2 - q. Let g(d) = s*n(d) + o(d). Give g(3).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 97\/21 + -13\/3. Let g = 0.07 + -0.29. Let f = g - -0.02. Which is the third biggest value? (a) r (b) 0.3 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1.5 + 1. Let l = -3.88 + -0.12. What is the nearest to -2 in 1, l, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12)\/(-42) + (-61)\/(-7). Suppose 0 - p = -3*j. Solve 2*f + 9 = -j*n, -5*f + f = -2*n + 10 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/32 of a kilometer?\nAnswer: 9375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6*y**4\/5 - 14748*y**3\/5 - 1374102*y**2\/5.\nAnswer: -6*y**2*(y + 97)*(y + 2361)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2306601024 a multiple of 10864?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is ee74 - 1?\nAnswer: ee73","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -66 - -19. Let g = -6 - h. What is the remainder when 161 is divided by g?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*sqrt(2448)*5 - sqrt(2448))*-5 + (sqrt(2448) + sqrt(2448) + sqrt(2448) + -5 + 1 + sqrt(2448))*-6)**2.\nAnswer: -25344*sqrt(17) + 4739904","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72 = -3*p - 24. Suppose 2*s - p = -0. Let y = s - -25. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -130 and 54667?\nAnswer: -7106710","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = 298*f + 12 + 13*f**2 - 559*f + f**3 + 281*f. Calculate the remainder when 337 is divided by q(-11).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 2*h - 2266 = -4*w, w + 2271 = 5*h. Suppose 2*d - 151 = -l, 3*d - h = -3*l - 2*d. What is the units digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 602 and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1196?\nAnswer: 2, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round -482.8765 to the nearest 100.\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Let g(p) = -p**3 + p + 2. What is g(q) - k(q)?\nAnswer: -q**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/33, -8\/7, -5, 1 in descending order.\nAnswer: 1, -1\/33, -8\/7, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -h - 1. Let a be s(-6). Suppose a*m - 53 = 12. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 6.4 - 6. Let a be 1 - 3 - (-2734)\/12. Let s = a + -225. What is the second smallest value in s, 2, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.5 and -15.51.\nAnswer: -16.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = 127*s**3 - 36*s**2 + 86*s - 31. What is l(2)?\nAnswer: 1013","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 4 + (0 - 15) + 7\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -2552 * 0.3\nAnswer: -765.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -193*o + 4*k = -195*o + 788, 2*o = -3*k + 787. What is the second biggest value in 0.5, o, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = 7*o - 17 - 3*o**2 + 4*o + 16. Let g be i(5). Let p be -2*2\/(-6) + (-217)\/g. Solve -5*n = p + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38 + 307. Suppose -10*x + y = -801. What is the units digit of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2\/11 - 9\/(1287\/(-25285)) is divided by 61.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the third derivative of 213*x**8\/112 - x**6\/40 - 33*x**5\/10 - 2*x**2 - 150*x. Find the third derivative of d(o) wrt o.\nAnswer: 38340*o**2 - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 76 + 116 = -d, -4*d = 8. Let c(j) = -x*j - 1746*j - 107*j + 10. Is c(-3) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - 7 - 1 = 0. Suppose -i + 3*i = b. Let c = 1.4 - 1.2. What is the nearest to i in -0.2, -4, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (x - x + 3*x**3)*(-30 + 2 - 6) to the form m*x + l*x**2 + t*x**3 + y and give t.\nAnswer: -102","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.0708 * -2\nAnswer: -0.1416","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2903, -2, 2, 1, -32, 3 in decreasing order.\nAnswer: 3, 2, 1, -2, -32, -2903","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is -336 >= 9\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/2 of a microsecond in nanoseconds?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1718011 and -2.\nAnswer: -3436022","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 15 + 17. Let k(l) = -l**2 - 9*l - 2. Let z be k(x). Suppose 3*t - t = z. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 - -108. Let w = 86.0144 - q. Round w to 3 decimal places.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the third derivative of f**5\/60 - 7*f**4\/24 + 5*f**3\/6 + 442*f**2. Determine d(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -501\/4 >= -126?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 903071*s**5 - 4*s**4 - 3*s**3 + 94970*s**2 + 7*s + 15?\nAnswer: 54184260*s**2 - 96*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3\/522805 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l - 5 = 3*g + l, -2*g - 10 = -4*l. Let i be g + 4*18\/24. Let k = 0.04 - -2.96. Which is the nearest to -3\/2? (a) i (b) k (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 6756.184 litres?\nAnswer: 6756184","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -3035.9 less than 23?\nAnswer: 3058.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 425, 890, 1395, 1940, 2525?\n\"Answer: 20*k**2 + 405*k","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -3 + 2.7. Let c(u) = 2*u + 3. Let p be c(-2). What is the third smallest value in p, t, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*q = -173 - 77 - 950. Which is bigger: -788\/13 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from susdlsdusqlsledssss. Give prob of picking 1 d and 2 s.\nAnswer: 36\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7507 - 7467. What is the greatest common factor of 865 and n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63955*v + 14 = 5*a + 63956*v, -2*v + 9*v - 28 = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -4*b**4 - b**3*o + 30145*b**2 - b*o - 1840*b - o wrt b?\nAnswer: -48*b**2 - 6*b*o + 60290","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dbu when three letters picked without replacement from pdbdpu.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 181*p + 1990. What is j(-11)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.6 - -803985.528.\nAnswer: 803986.128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n**3 - 5*n**2 - n. Let g be m(4). Suppose 0 = -74*s - 2547 - 857. Let d = s + g. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -302, -252, -200, -146, -90?\n\"Answer: s**2 + 47*s - 350","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 57591596 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 9*(-6 - -7) - 145*(-7)\/(-35)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1067\/612 - -9\/68. Calculate the common denominator of 1\/44*202 - 1 and w.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*a**3\/3 - 11360*a**2 + 48529632*a - 1158177024.\nAnswer: 2*(a - 8508)**2*(a - 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -3940 and -157?\nAnswer: 3783","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 - 3 - (0 + 0). Suppose h = -3*c - 3*o + 24, -2*c - 14 = -o - 3*o. Let a = 17 + -13. Solve -3*z = 3*q - 6*q + 3, 2*z - c*q + a = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327197?\nAnswer: 13, 25169","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*i**2 + 69*i + 69*i - 8*i to p + b*i + q*i**2 and give b.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 922312191?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 12464 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -46146 rounded to the nearest 1000?\nAnswer: -46000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*d = -s - 1, 4*s = -3*d - 285 + 272 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.4 + 4.4. Let t be (-1)\/5 - 161\/(-5). Let j = -1 + -4. Which is the closest to 0? (a) j (b) f (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.4604823 rounded to 3 dps?\nAnswer: 2.46","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 4*o**3 + 4*o**2 - 4*o - 4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2009 is divided by 124.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 44*z - 33. Let k = -20 - -28. Is r(k) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 0 + -20423?\nAnswer: -20423","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -3 - 1.345\nAnswer: -4.345","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) be the second derivative of -179*f**3\/6 + 657*f**2\/2 - 5*f + 21. Differentiate x(y) with respect to y.\nAnswer: -179","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 12378.5 + -12380. Which is smaller: -86\/9 or q?\nAnswer: -86\/9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.2693 to 2 decimal places.\nAnswer: 11.27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (840\/98)\/((5\/15)\/((-21)\/(-9))). Solve -4*r + g = 76 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 415 (base 6) in base 10?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 177, 375, 567, 753, 933, 1107, 1275?\n\"Answer: -3*h**2 + 207*h - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve v = -3*x - 14, v - 1 = -0*v for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1488377 or 1488258?\nAnswer: 1488258","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 267*a - 75*a + 752 - 94*a - 99*a to t + m*a and give t.\nAnswer: 752","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.029 and 868.\nAnswer: -25.172","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -l**2 + 2. Let m(f) = -f + 1. Let i be m(-2). Suppose -p - i*p - 12 = 0. Give q(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 - -14. Sort -2, 3\/8, f.\nAnswer: -2, 3\/8, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 6*k**2 + 7*k. Let c(n) = -10*n**2 + 3*n - 6. Let s(f) = 28*f**2 - 8*f + 16. Let m(v) = 8*c(v) + 3*s(v). Determine m(w(u)).\nAnswer: 144*u**4 + 336*u**3 + 196*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 0 + 1\/(207\/6). Is b equal to -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 2*h + 1. Let b be c(2). Suppose b*r + 3*p = 6, -2*p - 3*p - 6 = 3*r. Calculate the highest common divisor of 24 and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 376297?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 34 + -20. What is the remainder when 54 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u. Suppose 3*q - 3*n = -9, -n - 2*n + 21 = 3*q. Let x(o) = 6*o**2 - 1 + 1 - 11*o**q. Give i(x(y)).\nAnswer: -5*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 99859942?\nAnswer: 2, 7, 13, 103, 761","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 30 a factor of 995?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28225666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 86 is divided by (-54 + 42)*6\/(-4).\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 5. Let l(c) = -c**3 + 2*c**2 + c + 2. Let w be l(2). What is the third derivative of 0*q + 0*q**2 - 3*q**d - q**w + 0*q wrt q?\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 110397783?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -168, -165, -162, -159, -156, -153?\n\"Answer: 3*l - 171","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 396 - 395.7. What is the nearest to 89 in y, -6, 1\/6?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*n - 3 = 57 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*c**3 + 216*c + 122*c - 5*c**3 + c**2 + 0*c**2 to v*c**3 + g*c**2 + o + p*c and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5908 to the nearest integer?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/2*(-7 + 3). Suppose -23 = -5*s - 3*m, 8 = -2*s + 5*s - 4*m. Put s, p, 5 in descending order.\nAnswer: 5, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.1 and 2.07.\nAnswer: -0.207","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express a**4 - 3 + 25*a**4 - 6*a**2 + a**2 + 9*a**2 as o*a**4 + b*a + c*a**2 + x + s*a**3 and give o.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q**3 + 6*q**2 + 2*q - 2. Let o be -1 + -1 - (-14)\/2. Is r(o) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (37794\/50392)\/(2*1\/(-184)).\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (35\/(-20))\/(1\/4). Let c(n) = 6*n**2 - n - 2. Let o(p) = -p**2 + p + 1. Let x(u) = c(u) + 4*o(u). Is x(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -8*a + 35. Give s(6).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -133\/23280 and 1\/2037.\nAnswer: 162960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 7\/(42\/(-24)) + 294. Let x be (h + 0 - 1)*(11 + -10). What is the highest common divisor of x and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -13 - -1032011032303?\nAnswer: 1032011032230","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.6 + -6.6. Let q = -8 - x. Let a = q - -1.5. Put 0.2, a, 4 in descending order.\nAnswer: 4, 0.2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 59 + -77. Let p = 13 - 9. Let y = 38.94 + -38.94. Which is the smallest value? (a) t (b) y (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qbbrrqryqyrqbqyqbq. What is prob of picking 1 r and 2 y?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 34996293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37125*w - 5655*w - 3703*w - 8953*w.\nAnswer: -55436*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21444, 83887, 187332, 331779, 517228, 743679, 1011132?\nAnswer: 1319587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.42889 decades to centuries.\nAnswer: 0.242889","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 58519 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s + 5*r = 8*s - 24, 0 = -2*s - 3*r - 4. Suppose -3*h = -2*v - 2*h + 9, -4*v = -4*h - 28. What is the greatest common divisor of s and v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: cb307 (base 13) to base 2\nAnswer: 1011001101100110101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -460 - -469. Let q be 4\/14 + 66\/14. Suppose 2*p - 2 + 6 = g, 20 = 5*g - 3*p. Solve 2*z - z = g, -f = q*s - z for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + l + x + 2 = 0, -4 = 5*l - x. Suppose 211 = 3*n + 46. List the prime factors of n\/((-8)\/(-4) + l).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1646 by -33.\nAnswer: -1646\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1005\/(-82008)*72*(-2)\/10?\nAnswer: 3\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -18*k**2*p - 3*k**2 - 202*k*p**3 + 7*k + 4 wrt p.\nAnswer: -18*k**2 - 606*k*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of 0*x**5 + 1\/30*x**6 + 0*x**2 + 0 - 1\/2*x**4 + 0*x**3 - 5*x. Find the third derivative of d(z) wrt z.\nAnswer: 24*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -30 + (4802 - 4745).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1167337 litres to millilitres.\nAnswer: 116.7337","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -600\/7 + 86. Suppose -14*o - 10 = -10*o + 5*n, -5*o - 4*n = 17. Sort 5\/4, o, u in increasing order.\nAnswer: o, u, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v + 2*v + 5 = 0, -102 + 101 = -x + v for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 1022230 - 1?\nAnswer: 1022223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t\/t**(1\/15)*t)\/t)**(-7) assuming t is positive.\nAnswer: t**(-98\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 1298 = 3*t, -2*q - t = -6*t - 1266. What are the prime factors of q?\nAnswer: 643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 569526?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 3947194627 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -12635 or -63181\/5?\nAnswer: -63181\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 869379 is divided by 54336?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*x + u + 21162 - 21097, 4*u = -x - 20 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -607086890 rounded to the nearest 1000000?\nAnswer: -607000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 53*t**2 - 111*t**2 - 4*t**3 - 5*t + 7 + 53*t**2 + 5*t**3. Determine b(6).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (44\/10)\/(12\/(-30))?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f + 4. Let h be a(-3). Let d = h + -5. Suppose -2*s - 4*g + 34 = 0, 3*g = 4*s - 19 - 16. Calculate the lowest common multiple of s and d.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 72, 5, 61, 0, -584 in ascending order.\nAnswer: -584, -4, 0, 5, 61, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -10 + -7 + -24 + 22?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:50 AM and 10:56 AM?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*c + 17*c = 0, -2*j - c = -6*c - 14 for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -r**3 - 24 + 4*r + 6*r + 24 + r**2 + 2*r**4 to g*r + s + z*r**3 + x*r**2 + o*r**4 and give g.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x\/(x\/(x*x**13))*x*x)*x*x\/(x\/x**(5\/6))*x)\/(x\/x**2)**19 assuming x is positive.\nAnswer: x**(35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1 + -1110123?\nAnswer: -1110130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1\/873 - -33167\/6111. What is the third smallest value in a, -3, 0.3?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21322 (base 4) to base 13.\nAnswer: 39a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i + 6. Let q(f) = -f - 5. Let m(v) = 3*k(v) + 2*q(v). Let b be m(-9). Sort 1\/3, -3\/2, b.\nAnswer: -3\/2, b, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (2459000\/3)\/(36\/108). What is c rounded to the nearest one million?\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -242*-5746.\nAnswer: 1390532","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let -6553*o**3\/9 + 52426*o**2\/9 - 45887*o\/9 + 14\/9 = 0. What is o?\nAnswer: 2\/6553, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.561 rounded to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2763307 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -387? (a) 2\/7 (b) -0.5 (c) -4\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 33*b**2 + 207*b + 9870. What is p(-22)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: ((-4)\/3)\/(((-2)\/9)\/((-209)\/9405))\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 186 = -39*s - 165. Let r(k) = -3*k**2 + 23*k + 7. Let m(w) = -w**2 + 11*w + 4. Let i(d) = 5*m(d) - 2*r(d). What is i(s)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((l*l**(-2\/11))\/l)\/((l**(-2\/13)\/l)\/l))**(-29) assuming l is positive.\nAnswer: l**(-8178\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -22 - -108\/5. Let o = 2 + -2.2. Let t = o - -0.2. What is the nearest to -2\/7 in b, 4, t?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 53 + -50. Suppose 0 = -s*b + 3*g + 30, 8*g - 42 = -5*b + 11*g. What is the remainder when b is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -93163*j*r**3 + 24774*r**3 - 3*r wrt j?\nAnswer: -93163*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 25*c**2 + 23*c + 54. Let y be p(24). Determine h so that -18*h - 16*h + 0*h - y + 9*h + 0*h**2 - 5*h**2 = 0.\nAnswer: -3, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-26)\/42 - 2\/(-28)*4 - (-352469)\/4281.\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -11527\/14 or -823?\nAnswer: -823","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.07 + 0.03. Let t = 290 + -5508\/19. Which is the closest to d? (a) t (b) -2\/13 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h, given that -3*h**2 - 1017072*h - 86202954432 = 0.\nAnswer: -169512","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 32739950 to the nearest 100000.\nAnswer: 32700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the second derivative of o**7\/14 - o**6\/25 - 9*o**5\/10 - 7*o**4\/5 + o**3\/10 + 9*o**2\/5 - 217*o. Let v(q) = 0. What is q?\nAnswer: -1, 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -7*s + 5. Let a(z) = -3*z + 2. Let v(y) = 5*a(y) - 2*x(y). Let k(p) = 4*p. Give 4*k(m) + 18*v(m).\nAnswer: -2*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -148 by 20.\nAnswer: -37\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -314*(1\/5 - (-91)\/70). Let z = -285 - y. Does 31 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.4892152 to 3 dps.\nAnswer: -12.489","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 38 + -5. Suppose -4*l = 0, -3*j + 0*l - 2*l = -594. Calculate the highest common divisor of j and m.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = l**3 - 2*l**2 - 2*l + 3. Let b(y) = -2*y**3 + 4*y**2 + 5*y - 7. What is -2*b(o) - 5*h(o)?\nAnswer: -o**3 + 2*o**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n. Calculate the least common multiple of 3 and a(7).\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = 3*m**2 + 18*m + 41. Is l(18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1027*j**3 - 1046*j**3 - 1031*j**3 + 3126*j**3.\nAnswer: 22*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**2 - p - 1. Suppose o + 2 = 4*z + 20, -o = -z - 6. Let k(r) = -3*r**2 + r + 2. Let l(s) = z*t(s) - 3*k(s). What is l(2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4260717273 to the nearest integer?\nAnswer: 1621","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 31104649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3535.\nAnswer: 5, 7, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(216)\/(3*sqrt(9)))\/sqrt(8).\nAnswer: sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -n**2 + 0*n + 0*n + (5*n - 2*n - 2*n)*(n - 3*n + 5*n) + (11*n - 13*n - 14*n)*(-66*n + 32*n - 41*n).\nAnswer: 1202*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 26 = -46. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2392468 is divided by 458?\nAnswer: 334","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s. Let a(h) = 38428*h + 29. What is a(t(x))?\nAnswer: -38428*x + 29","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -2*m. Let a(w) = -11*w**2 + 5. Let g(z) = 17*z**2 - 8. Let h(k) = -8*a(k) - 5*g(k). Calculate n(h(f)).\nAnswer: -6*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 6 + 19 = 0. Suppose -18 - 32 = -k*m. Calculate the remainder when 36 is divided by m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b - 3 = -b. Let j be b\/(-2) + 0 - 1. Let c = 0.2 + 0.8. What is the closest to c in j, 2\/21, -5?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5189 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 7 + l**2 - l - 28*l**3 + 29*l**3 - 5. Let c be p(0). Suppose 5*z + 0*g = 3*g, 3*g = -c*z. Solve z = -3*r + 2*a + 2*a + 9, 0 = -5*r + 4*a + 7 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 34*j**3 + 4*j + 0*j + 5*j**2 - 32*j**3 - 5*j as d + v*j**2 + r*j + n*j**3 and give v.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -44702 - -16001. Let x = j - -2984937\/104. What is the common denominator of 7\/44 and x?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*k + k - 5*k)*(18*k - 5*k - 4*k)*(-4*k**2 - k + 2*k + 5*k**2) as y*k**3 + h*k**2 + u*k**4 + w + v*k and give u.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:00 AM and 6:41 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -40, -1, -3, 4 in increasing order.\nAnswer: -40, -3, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -23c1 + -1072?\nAnswer: -3433","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -24701 - -494119\/20. Find the common denominator of p and -89\/22.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 7\/6 of a minute?\nAnswer: 70000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*p**2 - 3*p**2 + p**2)*(-4 + 3 - 4).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1520 = 241*y - 257*y. What is the remainder when 1227 is divided by y?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:38 AM and 11:43 AM?\nAnswer: 305","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 10100010011011 (base 2) to base 16\nAnswer: 289b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.5, -0.06, -12, 0.21, 8\/5?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 76*f**2 - 2*f. Calculate the remainder when 887 is divided by h(1).\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16230 + 286081. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 556054, 556059, 556050, 556021, 555966?\nAnswer: 555879","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -681*i**2 - 17*i - 37*i + 684*i**2 + 243 = 0.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**2 - 3*b - 2. Let l be r(-1). Let h(i) = 31 - l*i + 2*i - 27. Is h(-6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 286170519?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*o - 3 + 3)*(1202 - 1202 + 373*o**2)*(3*o + 2*o - 6*o) to the form u*o**4 + a*o**2 + r*o**3 + h + m*o and give u.\nAnswer: -746","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1, -5, 0.3482, 2.5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 486*r**2 - 1472*r**2 + 1074*r + 495*r**2 + 490*r**2 in the form q + f*r**2 + k*r and give f.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 84.\nAnswer: -1\/28","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 43. Let n(y) = y**3 + 3*y**2 - 3*y - 2. Let j be n(-3). Calculate the highest common divisor of j and d.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6 + 4. Let g = -11290\/17 - -664. What is the third smallest value in -0.2, y, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2268, -2270, -2272?\nAnswer: -2274","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 34191005 to the power of 1\/4, to the nearest integer?\nAnswer: 76","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of 12 and 60752.\nAnswer: 729024","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 0 (b) 0.26 (c) -0.5 (d) -88\/57 (e) 3 (f) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 175 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 335*a**2*j**2*v**3 - 2*a**2*j**2*v + 16*a**2*v**3 - 2*j*v**3 wrt j?\nAnswer: 670*a**2*v**3 - 4*a**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + q - 27 = 0, 1 = 2*q - 5. Suppose n = -n. Suppose -6 = -2*a, n*t - 2*a = 4*t - 54. Calculate the greatest common divisor of t and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6407*v + 169545 = -336608 for v.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1955508 and 5866524.\nAnswer: 5866524","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(90)\/sqrt(3))\/sqrt(10).\nAnswer: -3*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 125 and 25?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-645)\/45 + 14)*-2)\/(4\/210).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 1874858627?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1, 7, 25, 59, 115, 199?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 230, 344, 232, -220, -1126?\nAnswer: -2600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert -155125 (base 8) to base 7.\nAnswer: -321645","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -328*h - 1639. Calculate l(-6).\nAnswer: 329","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.7 - 25339002534078?\nAnswer: -25339002534079.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-176)\/55*70*(-5)\/40. Solve -214 = -31*m - s for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/4*f**2 - 23\/2 - 25\/4*f = 0. What is f?\nAnswer: -23, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -337*i**3 - i**2 - 3*i - 1. Is 26 a factor of q(-1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -239.\nAnswer: 2\/239","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -4903d9 (base 14) in base 3?\nAnswer: -11200220100211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.063, 0.04, 1\/2.\nAnswer: -0.063, 0.04, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of (-16)\/96 - (541\/(-6) + 0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 171 - 351 + 246*p**2 + 309*p**2 + 180 in the form q + g*p**2 + i*p and give g.\nAnswer: 555","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -728 + 2782. What are the prime factors of v?\nAnswer: 2, 13, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c + 4*c - 3*c)*(-47*c**3 - 39*c**3 - 19*c**3) + 3*c**4 + 0*c**4 - 4*c**4.\nAnswer: 314*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that -35*t**2 + 931610*t + 532360 = 0.\nAnswer: -4\/7, 26618","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2 and 998?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of 7\/120*c**6 + 0 + 0*c**5 + 1\/70*c**7 + 0*c**3 - 61\/24*c**4 + c + 26*c**2. What is the second derivative of s(z) wrt z?\nAnswer: 36*z**2 + 42*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 221377, 221374, 221371, 221368, 221365?\n\"Answer: -3*p + 221380","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 75313 + -75309.69672. What is f rounded to 2 decimal places?\nAnswer: 3.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -522 + 4?\nAnswer: -515","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 t, 1 g, and 1 v when four letters picked without replacement from {h: 3, x: 3, m: 4, t: 1, v: 3, g: 1}.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 930092 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -2*o + 2. Suppose 5*x - 5*b = 60, 5*x + 4*b - 2*b - 32 = 0. Suppose 4*p - x = -0*p. Give s(p).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00001726 rounded to six dps?\nAnswer: 0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2328184*f**3 - 712331*f wrt f?\nAnswer: -13969104*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 6 - 4. Let n be (-62)\/(-2*(g + -1)). Suppose n - 7 = 3*p. Solve 3 - p = -i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -6 (b) -5 (c) -1\/6 (d) 3\/5 (e) 82\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = c**2 - 5*c + 4. Let y be r(5). Solve 3*s + 11 = -y for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110.3 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -0.18, 2, -3, 104 in decreasing order.\nAnswer: 104, 2, -0.18, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 250786.99 plus 0.9?\nAnswer: 250787.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -4*i**2 + 1668*i. Let s(j) = -4*j. Calculate t(s(z)).\nAnswer: -64*z**2 - 6672*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -37a (base 11) in base 8?\nAnswer: -702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -83*l - 909. Calculate p(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -16, 0, 2, -5 in decreasing order.\nAnswer: 2, 0, -2, -5, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 5 + 4?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 112391100 to the nearest one million.\nAnswer: 112000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11, 1, 13?\n\"Answer: 12*w - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kp when two letters picked without replacement from paddxdpxaakadakapxk.\nAnswer: 1\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 98 a factor of 21390?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -104, -437, -992, -1769?\n\"Answer: -111*g**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4880 + 68401\/14. Find the common denominator of 73\/22 and w.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -7 - -11. Suppose 4 = 4*o - j. What is the first derivative of -7*c**3 + 17*c**3 + 2*c - 2*c + o wrt c?\nAnswer: 30*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1419 and -0.06?\nAnswer: 0.008514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -2021*r**2 - 3611*r - 10. Let l(k) = 4039*k**2 + 7222*k + 18. Let p(f) = 5*l(f) + 9*v(f). Find the second derivative of p(b) wrt b.\nAnswer: 4012","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 127 is divided by 61.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-7)\/(1 - 2))\/1. Let y(s) = k*s - 2 + s - 3. Let g(t) = 12*t - 8. Let j(l) = 5*g(l) - 8*y(l). Let v(i) = -2*i**2. Calculate j(v(o)).\nAnswer: 8*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.5 and -280439.473987.\nAnswer: -280439.973987","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 31\/11, 0.1, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 6*g - 14. Let a be y(-3). Let u = a - -100. What are the prime factors of u?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = u**2 - 25*u + 69. Let d be x(22). Let t = -10 - -14. Solve 0 = -y - y - d*k + 6, 19 = -y + t*k for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-3\/17)*a*a**(-14\/9))\/(a\/a**(-2\/29))**(-3) assuming a is positive.\nAnswer: a**(15418\/4437)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 14 = -3*y, 4 = 2*q + 2*y - 4. Let v = -5 + q. Let u be -7*(v - (-22)\/14). Calculate the greatest common factor of 2 and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = 22*c - 10. Let a(f) be the second derivative of 15*f**3\/2 - 10*f**2 - 9*f. Let o(y) = -2*a(y) + 5*p(y). What is the derivative of o(m) wrt m?\nAnswer: 20","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*s**2 + 2*s**2 + 161*s - 69*s - 9*s**2 - 64*s - 54*s.\nAnswer: 19*s**2 - 26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -10 - b**2 - 6 + 17 - 2*b + 2*b**2.\nAnswer: (b - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2095*(4\/(-24)*-5 - 14\/60) a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 1, b: 3, t: 2, w: 4, z: 6}. Give prob of picking 1 s and 3 b.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 3\/86, 2\/13, 97 in descending order.\nAnswer: 97, 48, 2\/13, 3\/86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1204 (base 6) to base 10\nAnswer: 292","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, h: 7}. What is prob of picking 1 l and 2 h?\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = -10*j**3 + 9*j**2 + 16*j - 7. Let v(a) = -7*a**3 + 6*a**2 + 11*a - 5. Determine -5*n(f) + 7*v(f).\nAnswer: f**3 - 3*f**2 - 3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 12) in base 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 5*z + 120, z = -2*l + 4*l - 45. Which is the nearest to l? (a) -5 (b) -3 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/23)*i)\/i*i*i**(3\/7)*i*i**(2\/9)*i**(-9)*((i\/(i*i*i**(-9)*i*i))\/(i**(-7)\/i))**28 assuming i is positive.\nAnswer: i**(558682\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 7, p: 2, s: 5}. What is prob of sequence psp?\nAnswer: 5\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 3*o**2 - 10*o + 4. Let w(u) = 4*u**2 - 9*u + 5. Let q(a) = -5*g(a) + 4*w(a). Let t(j) = -j**3 + 19*j**2 - 47*j - 30. Let p be t(16). Give q(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -39 + 40. Let z(w) = -w. Let t(s) = s - 1. What is j*t(c) - 2*z(c)?\nAnswer: 3*c - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.047 and 2?\nAnswer: -2.094","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 36687*z + z**3 - 36688*z - 4*z**2 + 23 - 2*z**3 - 48 - 74 as b*z**3 + q*z + d*z**2 + m and give d.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1.768 * 2\nAnswer: 3.536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 5 + -16. Let f(i) = 7*i + 27. Let y(k) = -2*k - 9. Let c(a) = j*y(a) - 4*f(a). Let m be c(-4). Calculate the greatest common factor of 45 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 465 + -464.8. Which is the third biggest value? (a) -45 (b) n (c) 0.5 (d) 0.4 (e) 0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ehheh. What is prob of sequence he?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 88919 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 2*c**3 + 5*c**2 + 5*c + 5. Let m(i) = 4 - 5 + i**2 + 2. Let z(t) = -5*m(t) + w(t). Find the second derivative of z(q) wrt q.\nAnswer: 12*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48.3 + 166.3. Let t = 16954182921 - 16954183039.00000193. Let a = x + t. Round a to 7 dps.\nAnswer: -0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2 and 5?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 36.23 + -0.48. Let l = 36 - r. Let m = 0.41 - l. Round m to one dp.\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72822.6 millilitres in litres?\nAnswer: 72.8226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = 4*u**2 + 29*u - 925. Calculate h(12).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -216607, -216655, -216705, -216757, -216811?\nAnswer: -216867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n + 2*h - 5 = 0, -221*n + 226*n - 20 = -5*h for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 226 is divided by 46.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 10320 - 1?\nAnswer: 10314","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r = -2*b + 11 - 37, -5*b - 50 = -2*r for b.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-21)\/2)\/((-2277)\/414*(-156)\/88)?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iipripwppiiwiiwri. What is prob of picking 1 i, 1 r, and 1 p?\nAnswer: 8\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {n: 1, z: 2, p: 1, v: 2, y: 4, m: 2}. What is prob of sequence vzpm?\nAnswer: 1\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) be the third derivative of 5*d**2 - 7\/24*d**4 + 0 + 0*d + 4\/3*d**3. Let t be h(-11). Calculate the greatest common divisor of 34 and t.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34448367 is divided by 9644.\nAnswer: 9643","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the second derivative of -i**7\/105 - i**6\/60 + 11*i**2\/2 - 13*i. Let w(v) be the first derivative of o(v). Factor w(l).\nAnswer: -2*l**3*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.8 - -26.8. Let v = q + -24.6. Sort 1.9, v, -2\/5 in ascending order.\nAnswer: -2\/5, v, 1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 14, -7 in increasing order.\nAnswer: -7, -1, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 193 - 53. Suppose 0 = 8*o - 7*o - 123. Suppose o = 5*k + l. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 75*w. Let v(y) be the first derivative of 3*y**2\/2 + 26. Determine m(v(f)).\nAnswer: 225*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1495 and 20240?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3873 by 153.\nAnswer: 1291\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2261750220?\nAnswer: 2, 3, 5, 103, 121993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 112 and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1483*j**4*p*s - 2*j**4*s + 4*j**2*p*s + 8*p*s + 6 wrt j?\nAnswer: 35592*j*p*s - 48*j*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 1\/(-1*(-2)\/6). Suppose 0 = -n*h + 210 + 57. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1321, 3049, 4777, 6505, 8233, 9961?\nAnswer: 11689","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -661668*i**3 - i**2 + 304451*i - 2 wrt i?\nAnswer: -3970008*i - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 334 - 474. Let f be (-2)\/g + (-204)\/680. What is the closest to -2 in f, 3, 2\/15?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6941*m - 6890*m + 28203. What is m rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + -45777222.05.\nAnswer: -45777227.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 4328, 1\/2 in increasing order.\nAnswer: -1, 1\/2, 4328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vg when two letters picked without replacement from jzzgiijisvjsgggv.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the first derivative of 1\/2*b**2 - 1 + 0*b. Let r(m) = -3*m**2 + 2*m. Let c(g) = g**2 - g. Let f(k) = -2*c(k) - r(k). Determine f(s(o)).\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l**2 - 14*l - 14. What is r(-13)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -72*s + 160 = -52*s for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -80 - 0?\nAnswer: -80","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-8))\/(((-27)\/(-9))\/(-6))?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 31542 is divided by 31154.\nAnswer: 388","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(10)\/sqrt(5)*6) + -4 + sqrt(891) + sqrt(891) + 3)**2.\nAnswer: -109*sqrt(11)\/3 + 130727\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -140*f**4 - 753*f**3 + 132*f**2 + 279*f + 10888 wrt f.\nAnswer: -1680*f**2 - 4518*f + 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0147743 rounded to four decimal places?\nAnswer: -0.0148","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 46*d - 603 + 27 + 24 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = -5*u + 41 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = -21*b**2 + 9*b - 1. Let f(x) = 10*x**2 - 4*x + 1. Let n(m) = -9*f(m) - 4*o(m). Let g(z) = z. What is g(n(s))?\nAnswer: -6*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) be the third derivative of -i**6\/720 + 4*i**5\/45 - 7*i**4\/48 - 245*i**3\/2 - 8*i**2. Factor n(y).\nAnswer: -(y - 21)**2*(y + 10)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the first derivative of -5*z**4\/3 + 212*z**3 - 440*z**2 + 752*z\/3 + 397. Let g(u) = 0. Calculate u.\nAnswer: 2\/5, 1, 94","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*z**2 + 2*z + 0 + 0)*(-5*z + 6*z + 8*z)*(-47 - 15*z**2 + 47).\nAnswer: -270*z**5 - 270*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r - 4*f - 60 = 2*r, 3*f + 21 = -r. Factor -r*w - 13\/2 + 1\/2*w**2.\nAnswer: (w - 13)*(w + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 34\/7, 0, 1?\nAnswer: 34\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 750 = 3*o - 2238, -1980 = -4*o - 2*c. What is the remainder when o is divided by 48?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h + 3. Let d(w) be the second derivative of -w**3 + 8*w**2 - 7*w. Let m = -12 + 15. Calculate m*d(f) - 16*p(f).\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(11) + -4 + sqrt(22)\/sqrt(2) + 1)*-6*-2.\nAnswer: -24 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.2? (a) -1 (b) -0.0518 (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 105 = -4*t, 4*t + l = 37 + 88. Let w be t\/(-7) - 2\/(-7). Let v(i) = -i**3 + 16*i**2 - 50*i - 25. Let o be v(5). Sort 8, o, w in increasing order.\nAnswer: w, o, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-68)\/14*(-65)\/(9360\/(-2016)).\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-1)\/a)**(-36)\/((a\/((a*a**(1\/3))\/a*a)*a)\/a)**(1\/50) assuming a is positive.\nAnswer: a**(5401\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h - 5*j + 55 = 0, 5*j + 107 - 22 = 4*h. Suppose 4*q = 52 + h. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20138 is divided by 546?\nAnswer: 482","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 4 - 4. Let h be 0\/(x - -4 - 1). Suppose h = 2*u + u - 21. What are the prime factors of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 5:55 AM?\nAnswer: 10:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 - 0.0377?\nAnswer: -4.0377","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/5, 5, 2\/7, -15 in descending order.\nAnswer: 5, 2\/7, -4\/5, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 402 or 400?\nAnswer: 400","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 21 - 56 = 14*x, x - 42 = 6*r for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*w + 11*w - 21 = 0. Let x = 22 - w. Is x - (40\/(-30))\/((-4)\/(-6306)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.08074 to 1 decimal place.\nAnswer: -11.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-6*(4 + (sqrt(1088) - sqrt(1088)*2 - sqrt(1088))) + 5)**2 + -3 + (0 + sqrt(1088) + 3 - -2*(sqrt(1088) + 1)**2).\nAnswer: -3608*sqrt(17) + 159211","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 32867.71 millilitres in litres?\nAnswer: 32.86771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 2, p: 7, t: 1, v: 2}. What is prob of sequence ph?\nAnswer: 7\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 92 and 17963?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, v: 2, d: 1, c: 1, w: 2, x: 1}. What is prob of picking 1 v and 1 f?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.09 and 57622266.\nAnswer: 5186003.94","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 1 n when two letters picked without replacement from {c: 2, p: 5, h: 2, d: 1, n: 4}?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 308113025?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 320*z + 82*z = 4422 for z.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -323 and 12.\nAnswer: -311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 8*n - 17. Let j(u) = -4*u - 1. Let z(g) = -3*g - 1. Let s(y) = n*j(y) - 5*z(y). Calculate s(2).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 76 + -56. Solve 2*p + 3 = -5*m + w, -8 = 2*p for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (10 + 28*j - 7 - 40*j)*((-2*j + 2*j + 2*j)*(j - 3*j + 3*j) + 1 - 1 - j**2) as f + t*j**2 + z*j**3 + u*j and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (35 - 1 - ((251 - 258) + 13 + 3))\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 1671 = 6*l. What is the units digit of l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -179 + 1261\/7. What is the third smallest value in h, -0.2, 2\/11?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0.1 or 2\/390891187?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from iiiii. What is prob of picking 4 i?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26836732?\nAnswer: 2, 13, 516091","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l - 3*l - 4*c - 9 = 0, -6 = 2*l - 2*c. Let i(g) = -3 - 50*g**2 + 27*g**2 - 2*g**3 + g**3 + 21*g**2. What is i(l)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1173, 1388, 1751, 2262, 2921?\n\"Answer: 74*k**2 - 7*k + 1106","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*t - 360 = -31*t for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 40 + -43 + (0 - (29 + -33 + 1 + -29))\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5 (base 16) to base 7\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63*k - 6324 + 4623 = 0 for k.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 435651902.1523299 - 440582381.81932. Let v = 4930693.667 + s. Let p = v - 214. Round p to six dps.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 5*y = -i - 7, -i - 2*y + 13 = 0. Suppose 0 = m + 5*u - 27, 5*m - 99 = -2*u - 10. Calculate the greatest common factor of m and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72613665 to the power of 1\/2, to the nearest integer?\nAnswer: 8521","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -126*y = -168*y - 378 for y.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*h - 231 - 13. Let u = 65 - h. Suppose 8*y**3 - 7*y**5 + 22\/3*y**2 - 20\/3*y**u - 2\/3 - y = 0. Calculate y.\nAnswer: -1, -2\/7, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 22\/39 + 67\/780. Let l = -1\/20 + v. Let g = 13 + -8. Sort l, -0.5, g.\nAnswer: -0.5, l, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -75\/7 - -1179\/112. What is the common denominator of 366\/124 - 1 - 1 and p?\nAnswer: 496","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5310233360?\nAnswer: 2, 5, 811, 81847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 57951 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 165 and 387255?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 21 - 9. Calculate the remainder when 28 is divided by (z\/2)\/(-1 + 0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + 5*(4 + -1 + sqrt(320) + -4 + (sqrt(320) - (sqrt(320) + 5)**2) + 5).\nAnswer: -1703 - 320*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z + 4*l - 2 = 0, z - 2*l + 13 = 3*l. Let q(o) be the first derivative of -3*o**2 + 4*o**2 + 7 + 0*o**z + 0. Let y(n) = -3*n. What is y(q(j))?\nAnswer: -6*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 119\/48 and (-3443)\/(-1872) - 2 - (-76)\/494.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3542 - 3542.5. What is the third smallest value in 20, y, 0.2, -2, -1?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(2057)*-1.\nAnswer: -55*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*z**3 + z**3 + 8*z**3 - z**3 + 6*z.\nAnswer: -3*z**3 + 6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -17*s - 8*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y + 4*y - 25 = -5*b - 2*y, -3*b - 14*y + 15 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -1 + -3*3*(4 + (0 + sqrt(425) + sqrt(425) - sqrt(425) - sqrt(425))))**2.\nAnswer: 1225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - z - 546 = 0, -4*b - 4*z = -1078 - 38. Let g be (-2)\/(-4) + -11 + b\/22. Solve 2*s + 0*s + 3 = 5*d, -5*d = g*s + 13 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 - (16 - 8 - -10 - 10) - -4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5 - -0.3. Let t = -15 + 26. Let k = -10.6 + t. Which is the nearest to o? (a) k (b) -1\/6 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4\/(3 - 6\/(-108)*-42)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes after 12:23 PM?\nAnswer: 7:23 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 6*(8\/(-20))\/((-8)\/(-10))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -2 times -1.1264\nAnswer: 2.2528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*-3*(-4*(sqrt(1100)*1 + 2)*-3*-6)**2.\nAnswer: -68677632 - 2488320*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1836 + (-5 - -5) - -5 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/3*((-18)\/228)\/1.\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -z + 52. Let x be a(13). Let u = x - 31. Suppose -3 = -3*w + 2*w. Solve w*c = -c - u for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*f**2 + 6*f - 6*f + (-1 + 7 - 1)*(3 - 3 - 2)*(f - 3*f + 5*f)*(-41*f - 17*f + 28*f) as r + x*f + u*f**2 and give u.\nAnswer: 909","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 divided by -78.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 83 = -2*y. Let t = 328224 + -328037. Calculate the remainder when t is divided by y.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-6)\/36 + (-182)\/(-12). Let m = 35 - p. Solve -5*t = -t - m for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 37651, 37672, 37693, 37714, 37735?\nAnswer: 37756","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) = 429*z**2. Let k(b) = 2*b**2 + 91*b. What is k(n(q))?\nAnswer: 368082*q**4 + 39039*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -d - 0*d + 5*p, -d - 5*p + 26 = 0. What is the highest common factor of 7 and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 147596800 rounded to the nearest one hundred thousand?\nAnswer: 147600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 2*t - 4. Let k be c(-6). Let o be ((-4)\/k + -1)*-20. Let z be 4\/(-7) + o\/63. Do 1 and z have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = -2*m + 4*m + 59, -m - 23 = -2*y. Let t = -44 + 80. What is the remainder when t is divided by y?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5 times -0.02548?\nAnswer: -0.01274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -568*i + 16 = -q - 572*i, 4*q - 1 = -3*i for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Are -3102\/2201 and -1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l. Let r(j) be the second derivative of 44*j**4\/3 - 19*j**3\/6 + 1961*j. Determine t(r(f)).\nAnswer: 176*f**2 - 19*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 95 divided by -3?\nAnswer: -95\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54301013 - 4?\nAnswer: -54301021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2233 + -1282. What are the prime factors of a?\nAnswer: 3, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l**2 - 4*l**2 + 0*l**2)*(35*l**2 + 898 - 20*l**2 - 14*l**2).\nAnswer: -2*l**4 - 1796*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9307*n - 9307*n + 3235*n**3.\nAnswer: 3235*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -746*k + 53*k + 19503 = -102*k. Suppose -r + a - 13 = -3*a, 3*r = 4*a - 7. What is the remainder when k is divided by r?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(40) - sqrt(160)\/sqrt(4))*-6)\/(sqrt(8) - (-2*sqrt(56))\/sqrt(7))*-6.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 438.67 (b) 0.2 (c) -5 (d) 6\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2579761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 5087 to the power of 1\/2, to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5 + 1 + 10 + -34 + 7\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = 49*l**2 + 109*l + 3. Determine j(-5).\nAnswer: 683","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 66478 is divided by 66461?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7548 is divided by 302?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a gram in milligrams?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -26, -3, 2, -6, 113, 0 in descending order.\nAnswer: 113, 2, 0, -3, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mzjmzmzmzzmmgjzmjmgz. Give prob of picking 4 z.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -111 - 41 + 7*f + 8*f + 194 - 42.\nAnswer: 15*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2100793609 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 2*z**7\/21 + 2*z**6\/15 - 3*z**5\/5 - z**4\/3 + 4*z**3\/3 + 375*z. Find k, given that f(k) = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 71*u**2 - 4548*u + 9038. Determine q(62).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -6887268*0.24\nAnswer: -1652944.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 46*v**2 + 84*v + 202. Determine x(44).\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -342, -734, -1250, -1974, -2990?\nAnswer: -4382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -26 and -7?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0583 and -5.\nAnswer: -0.2915","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q - 12 = 4*v + 2*q, 0 = 5*q - 5 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -81*j**3*q - 546*j**3 + 4*j*q - 4391 wrt j.\nAnswer: -486*j*q - 3276*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 77 and 2530?\nAnswer: 17710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + (1 + sqrt(539) + -4 - (sqrt(539) + sqrt(539) + sqrt(539)*-1 + sqrt(539) + 3)))**2.\nAnswer: 70*sqrt(11) + 564","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l - 22*n = -38*n + 20*n - 170, 5*l - 17*n = -235 for l.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ggeddcdneedddgcgcetg. What is prob of sequence cdcg?\nAnswer: 1\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60*s = 133189 + 324011. What is s rounded to the nearest 100?\nAnswer: -7600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (((-2*sqrt(324)*-2)\/(sqrt(972) + (sqrt(972) - (sqrt(972) - (sqrt(972)*-2 + sqrt(972)))) + sqrt(12)))\/(sqrt(225)*3 + (sqrt(324) - sqrt(9))*5))**2.\nAnswer: -197\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 363 - 364. Calculate the remainder when o\/5 + 7056\/105 is divided by 18.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.2 - 148.890697325.\nAnswer: -149.090697325","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*b + 27, 3*s + 3*b - 18501 = 8763. What is the units digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.02893 rounded to 3 decimal places?\nAnswer: 0.029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 3 = 4. Suppose 4*s - 27 = 5*j + 102, -2*s - 8 = 0. Let g be (238\/(-118))\/(j - -30) - -2. Is y <= g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-18)\/(-15) + (-266)\/455. Factor k*g**4 + 8\/13*g**3 - 4\/13*g - 6\/13*g**2 + 2\/13.\nAnswer: 2*(g + 1)**2*(2*g - 1)**2\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -19*n = 35*n + 36*n - 90 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46*p = -711 + 328 + 291 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6152, -12010, -17576, -22856, -27856, -32582?\nAnswer: -37040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 27479 to the power of 1\/2, to the nearest integer?\nAnswer: 166","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 34797 - 24380. Is m prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-2))**(-3)*(y*y**(1\/12)\/y)\/(y*y**(-2\/17)*y) assuming y is positive.\nAnswer: y**(857\/204)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 546 and 945873474.\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 57709?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 139724*i**5 - 3*i - 28606 wrt i?\nAnswer: 2794480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = i**2 - 9*i + 12. Let h be l(8). Let a(y) be the first derivative of -3*y**2 + 3*y + 3. Let q(w) = -w + 1. What is h*q(v) - a(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 45606 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26329 is divided by 491?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1509*l**2*s + 2321*l**2 + 26334*s - 82635 wrt s.\nAnswer: 1509*l**2 + 26334","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = -305*v - 165. Calculate f(-2).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 789\/12 + (-3)\/(-12). Suppose 4*d - 50 = s. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z**3 + 12*z**2 - 19*z + 93. Let v be c(11). Suppose 0 = -3*j - 0*j - 12. Sort v, j, -2 in ascending order.\nAnswer: j, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from whwuuwwuuwhuwuhwuu. Give prob of sequence whhu.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3974 is divided by 668.\nAnswer: 634","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand 245*x**3 - 210*x**3 - 118*x**3 + (-2 + 2 - x**2)*(3*x - 6*x + 2*x) + 4*x**3 + x**3 - 3*x**3.\nAnswer: -80*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0136653042 rounded to three decimal places?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2656?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 - (54 - 27) - -2?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, 0.5, -4399, 0.4, -10, -2, -23?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 2:58 AM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxmckxmmxmxkckccmkcc. Give prob of picking 1 x, 2 c, and 1 m.\nAnswer: 25\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(77) + sqrt(77))*6)\/(sqrt(448)*-2).\nAnswer: 3*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -b**3 + 4*b**2 + 10*b + 1. What are the prime factors of g(-3)?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0*1\/(-2))\/(-1). Let v(s) be the first derivative of l*s + 2 - 2\/25*s**5 + 1\/5*s**2 + 2\/15*s**3 - 1\/10*s**4. Solve v(b) = 0 for b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*r - 18 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 175 + -172. Solve 2\/9*v**s - 2\/9*v**4 + 0 - 2\/9*v + 2\/9*v**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 0*x + 13*x - 9*x. Let b(a) = -37*a**2. Determine b(f(t)).\nAnswer: -333*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -7.5 and -0.03.\nAnswer: 0.225","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1410*a**2 - 1431*a**2 + 2869*a**2 + 7 + 1 - 8.\nAnswer: 28*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 9*j**2 + 23*j + 5. Let l be w(-9). Let n = -525 + l. What is the closest to 2 in 0, n, -0.5, 0.2?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o + 5. Let s be b(9). Let r = -1 - s. Suppose -r*d + 52 = d. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 47 * 193772\nAnswer: 9107284","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 847380.9 - 7.88785\nAnswer: 847373.01215","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b - 41*b + 261 = 0. Suppose u - 4*c - 44 = 0, u + 4*c - 26 - 10 = 0. What is the remainder when u is divided by b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*g - 284 = 6*g - 200 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -91*u**3 - 11*u**2 + 32*u + 11. Let g(i) = -30*i**3 - 4*i**2 + 11*i + 4. Let h(n) = -11*g(n) + 4*m(n). Find the second derivative of h(j) wrt j.\nAnswer: -204*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - 4. Let v be 18\/(-2) - (13 + o). Let z = v + 58. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 55509930836 - 887567373717\/16. Let f = p - 36955764. Let j = f - 14221. Find the common denominator of 25\/6 and j.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 1. Suppose 2*d = -m - 2. Let n be (-4)\/6 - 1\/3. Is d bigger than n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -7*s**4 + 6*s**3 - 342*s**2 + 52668*s?\nAnswer: -84*s**2 + 36*s - 684","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 532 and 36253112?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -86330 to the nearest one thousand.\nAnswer: -86000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 - 5*u + 3. Let y(s) = -s**3 + 4*s**2 + 2*s - 2. Let p be y(3). Let j = p + -8. Suppose 0 = -d + 5*x + 25, 6*d - 2*d + j*x = 0. Give h(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-3372)\/(-16) - (-5)\/20 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 46 + 119*n**2 + 204 + 74 - 120*n**2 to the form w + z*n + s*n**2 and give s.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*i = 13*t - 16*t + 7*t + 228, 3*i - 24*t - 1236 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1351, -1340, -1329, -1318, -1307?\nAnswer: -1296","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*d + 5*d. Suppose d = -2*w - 2*w + 14800. Round w to the nearest one thousand.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u*u*u*u*u*u*(u*u*u*u\/u**(-3\/7))\/u*u*u*u)\/u)\/u**0 assuming u is positive.\nAnswer: u**(94\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4 + 4. Suppose g + l*s - 16 = 4*s, 2*g - 14 = -s. What is the remainder when g is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - 2)*(7*p**3 - 2*p**5 - 4*p**3 + p**5).\nAnswer: -2*p**5 + 6*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 3:09 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least as big as -3\/75284978?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 8*h**3 + 16*h + 9*h + 5*h**2 - 25*h. Let a(o) = 9*o**3 + 6*o**2. Determine -5*a(d) + 6*c(d).\nAnswer: 3*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = f + 4*p, 5*f - 4*p = f + 52. Let s(u) = 39*u**2 + 1. Let z be 3\/1 - 2*1. What is the remainder when s(z) is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27 - 26 + 0*j**3 - 2*j**3 + 14.\nAnswer: -2*j**3 + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.0259, 0, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w - 20 = 2*w. Let a = 22 - 21. What is the nearest to 0.1 in w, -0.3, a?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*l + 569 - 183 = -817 + 93 for l.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = g**2 + 8*g - 13. Let f be s(-9). Let h = -6 + 3. Let j = -2657 + 37199\/14. What is the smallest value in j, f, 3, h?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2140?\nAnswer: 2, 5, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -35\/2848 and -97\/3560.\nAnswer: 14240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**3 - 10*k**2 + 24*k - 8. Determine c(7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25309693 to the nearest integer?\nAnswer: 5031","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 18\/(-8) + -1 - (-10)\/5\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210120 + 2201122122?\nAnswer: 2200212002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*x**3 - 33*x - 13*x**2 - 35*x - 42*x + 113*x to z*x**3 + q + n*x**2 + u*x and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*x**2 + 26*x**2 + 209*x - 209*x.\nAnswer: 28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1705683 to the power of 1\/2, to the nearest integer?\nAnswer: 1306","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 633 - 637. Let j be (-2)\/((-8)\/m)*(-8 + 11). Suppose -3*n + 0*k + 4*k - 47 = 0, -3*n - 5*k - 2 = 0. Sort j, -5, n in ascending order.\nAnswer: n, -5, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*u = 30, 11088*w = 11092*w + 4*u + 160 for w.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16900466?\nAnswer: 2, 11, 768203","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 2719?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round 96149.9 to the nearest 10000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pq when two letters picked without replacement from {e: 2, s: 2, q: 1, p: 4}?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes before 9:37 AM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 915*m - 5581. Calculate j(6).\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -475*l**3 + 5*l**2 - 1280*l - 5. Let n(b) = 473*b**3 - 4*b**2 + 1280*b + 4. Let p(j) = -5*n(j) - 4*r(j). What is the second derivative of p(c) wrt c?\nAnswer: -2790*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 7 + -1 - -1 - (-13 - -16)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 + 45 - 8*t + 14*t - 26*t**2 + 2*t + 7*t + 5*t**3.\nAnswer: 5*(t - 3)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 126*c - 1. Let i be u(4). Let t = i + -250. Suppose 2*y - 3*r = -2*r + 177, -t = -3*y - r. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 13, 613, -3 in ascending order.\nAnswer: -3, 13, 613","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/(-2) - 0) + 56. Let q = x + -49. Let c(m) = 2*m**2 + 1. What is the smallest common multiple of c(-2) and q?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -109*f - 111*f + 200*f + 720 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let 4*l**5\/3 + 116*l**4\/3 + 76*l**3\/3 - 348*l**2 - 336*l = 0. What is l?\nAnswer: -28, -3, -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 0 + -8)\/(562\/(-1405)). Solve c*i + 6 = 21*i for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((f\/f**(1\/4))\/f)**(-42))**(-33)\/((f\/f**0)**(4\/3)\/(f**5\/f**(-1\/2))) assuming f is positive.\nAnswer: f**(-1027\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -688*t + 24*t + 229*t to the form l + n*t and give n.\nAnswer: -435","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15 = 5*t, 4*t + 31 - 19 = j for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 1 (b) -0.054 (c) 2\/15 (d) 1.1 (e) 4 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 2, l: 1, x: 1, u: 2}. Give prob of picking 1 l and 1 i.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*g, 4*b = 4*g - 3 + 23. Suppose -3*p - 4*u + 16 = -111, 4*u + 201 = b*p. Let a = -26 + p. Calculate the remainder when 54 is divided by a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((-7)\/(-2))\/(3\/6). Let f = j + -3. Suppose 5*r = g + r - 10, 82 = f*g + 5*r. List the prime factors of g.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:43 PM and 2:16 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**2 + 12*k - 11. Let d(n) = n**2 - 2*n + 1. Let r(i) = -d(i) - m(i). Give r(10).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 + 3*c + 3. Let b be v(-7). Suppose -2*i = -33 - b. What is the units digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 4, y: 2}. Give prob of picking 2 j.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v - 457 + 1731. Let i = -28029\/44 + v. Let y = i + 51\/308. Do 1 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1 take away -9071400.4?\nAnswer: 9071400.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*x + 2*x + x - 5*x.\nAnswer: -8*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -3*t**3 + 24*t**2 - 38*t + 303. Calculate m(8).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-19997 + -17)*2\/(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/291040 and -35\/6.\nAnswer: 873120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 254116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*y + 3 - 3 + (1 - 1 - 2*y)*(8 + 4 - 5) + 0*y - 2*y + 3*y + (-1 + 1 + y)*(1 + 2 - 2) to the form s*y + d and give d.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37 - 22 - 21)*(-a**2 + 1 + 0*a**2 + 3*a**2) to the form n*a**2 + k*a + x and give n.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:07 AM and 5:37 PM?\nAnswer: 570","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -37 + 19. Let d = -21 - j. Let g = -0.997 - -0.497. Which is the third biggest value? (a) d (b) -9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4248*u - 4248*u + 12707*u - 4234*u.\nAnswer: -23*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40798, 40277, 39742, 39187, 38606?\nAnswer: 37993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 minutes after 12:53 AM?\nAnswer: 12:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*z + 2*z - 32. Let o(w) = -w + 11. Let n be o(z). Suppose -4*k - 66 = -5*p, 13 + 40 = 4*p - n*k. Calculate the remainder when p is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 421440?\nAnswer: 2, 3, 5, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 366678 and 702?\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**2 - 9*g - 6. Suppose 0 = -2*i + 4*l - 8, 11 = 5*i + l - 2. Suppose -s + 3*m = s + 6, 0 = s + i*m - 11. Suppose -6*o = -s*o + 27. Calculate n(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -1 + 211?\nAnswer: 210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -a**7\/280 - a**6\/160 - 3*a**2\/2 + 1. Let n(v) be the second derivative of z(v). Factor n(i).\nAnswer: -3*i**3*(i + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 33, 54, 75, 96, 117?\nAnswer: 138","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 289, 645, 1007, 1375, 1749, 2129, 2515?\nAnswer: 2907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Let f = 6 - h. What is the nearest to f in 2\/3, 5, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121477629 to the power of 1\/2, to the nearest integer?\nAnswer: 11022","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1407.9163 rounded to the nearest one hundred?\nAnswer: 1400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the third derivative of q**8\/560 + q**7\/140 - q**3\/2 + q**2. Let o(j) be the first derivative of d(j). Factor o(c).\nAnswer: 3*c**3*(c + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1)\/(-3) + 60\/9. Suppose 5*a - 8 = -2*v, 3*v - r*a + 3*a = 12. What is the lowest common multiple of 10 and v?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 48128249?\nAnswer: 13, 673, 5501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1773 - -3275. Does 3 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*(-2)\/2*1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {s: 4, x: 8, v: 5}. What is prob of picking 2 x?\nAnswer: 7\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-215)\/903)\/(((-2 - 3) + 15)\/(2 + -10))?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6 - -13) + (-15)\/3. Solve k*i + 2*i = 2*u - 30, -u = 3*i + 10 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*k - 11*k + 27*k.\nAnswer: -5*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 420768?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 37 - 26. List the prime factors of w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00067799559 rounded to 6 dps?\nAnswer: -0.000678","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4425, -4426, -4427?\n\"Answer: -q - 4424","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*g - 22*g - 22*g**3 - g**2 - 6*g.\nAnswer: -22*g**3 - g**2 - 40*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 32 = -4*y, 3*y = 4*r + 4*y - 13. Suppose 2*x - x + 5 = r*c, 4*x = -2*c - 20. Solve c*a + 5*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 73772095 is divided by 134.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 36*h**2 - 986. Let b(f) = -21*f + 1. Determine b(q(g)).\nAnswer: -756*g**2 + 20707","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -0.2, 5, 2\/13, -5 in descending order.\nAnswer: 5, 2\/13, -0.2, -5, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -29 and 16.08.\nAnswer: -466.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 456 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + (sqrt(112) - ((1*sqrt(112) + sqrt(112))**2 + -3) - (sqrt(112) + -5 - sqrt(112))*-3) + -5.\nAnswer: -464 + 4*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -29131\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17088, -34173, -51258, -68343, -85428?\nAnswer: -102513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 360 - -4?\nAnswer: 364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 147873764 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2*5 + 1 + -8 + 3 + -3. Solve -6*t + 4*t + 20 = -3*q, -g*t = q - 19 for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24615 (base 7) to base 5\nAnswer: 201410","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Factor 8*t**5 - 44*t**4 - 24*t**3 + 432*t**2 - 432*t - 324.\nAnswer: 4*(t - 3)**3*(t + 3)*(2*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 4151416727 to the power of 1\/3, to the nearest integer?\nAnswer: 1607","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = 61 - 1298*o + 649*o + 658*o. Let l be r(-7). Sort 0, 1\/3, l.\nAnswer: l, 0, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 746*a**5 + 298*a**2 - 3*a.\nAnswer: 44760*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6 - -7. Suppose -u = 3*z + 2. Which is the closest to z? (a) 1 (b) 0.2 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by 5976387.\nAnswer: -1\/664043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19822233.2718 - 4.\nAnswer: -19822237.2718","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 436.91725 - -0.05275. Let i = -437 + y. What is the nearest to -2\/5 in i, 4, 0.05?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = 37*r**2 - 4*r + 3. Let i be x(1). Let t = 38 - i. Solve 2*o = j - 10, -o - t*j + 0*j = 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = g**3 - 3*g**2 + g. Let b be k(3). Suppose -9 = 2*n - b. Suppose 2*q = -3*i + i + 16, 3*i - 4*q - 3 = 0. Put n, i, -1 in decreasing order.\nAnswer: i, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*j**3 - 485319*j**2 - 6308676*j - 5823360 = 0. Calculate j.\nAnswer: -161760, -12, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 5\/(-4) - ((-155)\/(-20) + -3). Let r(a) = 13*a + 19. Let q = 6 + 0. Let o(j) = -7*j - 10. Let s(t) = q*r(t) + 11*o(t). What is s(v)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -11205, -22386, -33557, -44712, -55845, -66950, -78021?\n\"Answer: x**3 - x**2 - 11185*x - 20","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2 and 8462?\nAnswer: 8460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 3*y, y + 32 = k + 2*k. What is the greatest common factor of k and 30?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 4*n = -3*n - 14, 2*b - 2*n + 4 = 0. Suppose b*q - 14*v - 10 = -13*v, 2*q = 2*v + 8. What is the greatest common divisor of q and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1345014 divided by 33?\nAnswer: -40758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 2*w - 4 = 168, w - 4 = 0. Let s = t - 64. Calculate the lowest common multiple of s and 6.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -36 - 2c?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 10. Suppose -w*a + 4*a = 2. Solve 2 = 3*f - a for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -4*i - 1. Let h be c(-2). Find the second derivative of 7 + h*u**5 - 9*u - 7 wrt u.\nAnswer: 140*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 20\/(-6)*18\/(-12). Let u(d) = d**3 - 4*d**2 - 6*d + 7. What is the units digit of u(s)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/5, 5, -3, 12, 0, 2\/157, 33 in increasing order.\nAnswer: -3, -2\/5, 0, 2\/157, 5, 12, 33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = -y**2 - 3*y + 4. Calculate n(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -6*n**2 - 3*n + 3. Let v(o) = -7*o**2 - 4*o + 4. Let g(c) = -4*m(c) + 3*v(c). Let t(q) = -q**2. Determine g(t(z)).\nAnswer: 3*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -28*n**2 + 13*n + 9. Determine r(-4).\nAnswer: -491","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4099, 16564, 37349, 66460, 103903, 149684?\nAnswer: 203809","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 12569223 divided by -17\nAnswer: -12569223\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*f + 52*f - 103*f = 24 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (2 - 4)*-4*(-139)\/(-2)?\nAnswer: 2, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 985905 is divided by 10834.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round -110148000 to the nearest one million.\nAnswer: -110000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 4 in 0.3, 0, -3, 1\/3, -1\/60?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**2 - 7*r + 8. Let s be q(6). Find the first derivative of -f + f + s + 3 + f**2 wrt f.\nAnswer: 2*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 + 11*h**2 + 15*h - 1. Give m(-5).\nAnswer: 74","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 6 + 2 = 0. Suppose -v*t - 13 + 19 = 0. Let x(b) = 2*b**2 - 5*b - 1. Let k be x(t). Solve k = w + 5 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1 (b) 0.01 (c) 1\/29 (d) 914\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = i**2 - 1. Let b be w(-1). Suppose 3*f - f = b, -2*d - 4*f = 0. Suppose -u + v + 5 = d, 4*u - 1 = -4*v + 3. What are the prime factors of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the second derivative of -2*m**3\/3 + 30*m**2 - 4*m. Suppose -56 = -60*l + 62*l. What is the hundreds digit of f(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the third derivative of 205*k**8\/84 + k**5\/15 + 38*k**3\/3 - 772*k**2 - 1. What is the third derivative of o(a) wrt a?\nAnswer: 49200*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 140 is divided by 47.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (42 - 24 - -1) + -11?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 z, and 1 l when three letters picked without replacement from blblljz?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 67011 and 76584?\nAnswer: 536088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 33207 + 4?\nAnswer: 33213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 880526663 a multiple of 6593?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -135, -1106, -2677, -4848?\nAnswer: -7619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(320) + sqrt(320))*1.\nAnswer: 32*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 64 and 36584.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**2\/19 - 1970*b - 673092\/19.\nAnswer: -2*(b + 18)*(b + 18697)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28 = -2*n + 7*n - y, -32 = -4*n + 4*y. Suppose -2*x - 5*u = -48, 6*u - u - 105 = -n*x. Calculate the greatest common factor of x and 57.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -225729741*i + 56600217 wrt i?\nAnswer: -225729741","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 494103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 46598065?\nAnswer: 5, 229, 40697","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-22)\/(-8) - (0 + 1)\/(-4). Let b be -3*(-6)\/(0 - 2). Let d be (12\/10)\/(b\/(-120)). Solve -d = -i*x + 7*x for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 22 = 4*z, -3*z - 29 = -3*t + 1. Let o be (28\/56)\/((-1)\/z). Put -3, o, -7 in decreasing order.\nAnswer: o, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-22)\/(-10)*(-30)\/28 and 117\/4*(-46)\/276 + -6 + 0?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5298 = -172*m + 7*m - 1173 for m.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2968529 and 4805.\nAnswer: 961","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -25*p + 3*p**2 - 51*p + 1615 + 121*p - 45*p to z*p**2 + l*p + t and give z.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v**(-38)*v\/((v*v**(5\/4))\/v))\/(v**(3\/7)*(((v*v\/v**(-30\/11))\/v)\/v*v)\/v))**(3\/5) assuming v is positive.\nAnswer: v**(-38259\/1540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -10479*m + 429630. What is o(41)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 45*a - 50*a - 10. Let n be (54\/(-27))\/((-1)\/2) - a. Solve 0*u = -6*u + n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -126 + 138.76. Let q = -18 - -6. Let l = q + j. What is l rounded to 1 decimal place?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/7 (b) 8 (c) -2773.2 (d) -2 (e) -4\/7 (f) 3 (g) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24 = -26*x + 185 + 207. What is the remainder when 198 is divided by x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 288247 is divided by 402.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-31*j - 82 + 82)*(-3 + 1 + 4).\nAnswer: -62*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -899 (base 11) to base 5\nAnswer: -13301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 0 - -171770?\nAnswer: 171770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2cc0c (base 14) to base 12.\nAnswer: -54a78","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 5*c = -388, -76 + 270 = p - 3*c. Suppose b = -86 - p. What is b rounded to the nearest one hundred?\nAnswer: -300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*a + 9*z - 6*z + 75, -10 = -2*z. Suppose -61420 = a*j - 38*j. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/7 in -4, -0.3, -11, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g - 1. Let w(t) = t - 1. Let q(s) = 5*f(s) - 4*w(s). Let j(i) = -6*i + 5. Let r(y) = 4*j(y) + 22*q(y). What is the first derivative of r(n) wrt n?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -2*i**3 - 15*i**2 + 20*i + 57. Let m be s(-7). Let t = -4 + 7. Let f be t + (2\/(-5))\/(m\/(-935)). Is 1 smaller than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.22 - 3.142235.\nAnswer: -3.362235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -5, 98, -2 in increasing order.\nAnswer: -5, -2, 2, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11409 is divided by 1425.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -d**5 - 1322*d**4\/3 + 115511*d**3\/3 + 5679614*d**2\/3 - 1982408*d\/3 - 1270464 = 0.\nAnswer: -509, -36, -2\/3, 1, 104","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 149 a factor of 9730?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (-1 + (-75)\/(-24)).\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 1296148813 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10914660 is divided by 3638040?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-14)*210\/(-60)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 113*j - 125*j = -72 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -11\/502 in 3, 2.6, -8\/5?\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -c**2 + 137*c**3 - 4792*c**3 - 3483*c**3 + 2*c**2.\nAnswer: -8138*c**3 + c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -m**3 + 4*m**2 + 21*m - 3. Let q be w(7). Which is the closest to 1\/4? (a) -4\/9 (b) q (c) -2 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 14 (base 12) to base 8\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -33 - -56. What is the greatest common factor of 115 and v?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16657258 to the power of 1\/2, to the nearest integer?\nAnswer: 4081","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/51 and 40\/29.\nAnswer: 1479","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3139 - 1048. Is 51 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2679*d**4*f**3 - 546*d**2*f**3 - 13266*f**3 + 6*f**2 + 10*f with respect to d.\nAnswer: -10716*d**3*f**3 - 1092*d*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 256\/80*(-1)\/(-4).\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ywi when three letters picked without replacement from {m: 1, i: 11, y: 2, w: 2, f: 3}.\nAnswer: 22\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*g + 3*g - 312 + 262 + 2*g - 87*g**2.\nAnswer: -87*g**2 + g - 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 293 minutes after 6:59 AM?\nAnswer: 11:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d + 19*d - 39 = 0. Let h be ((3 - d)\/(-3) - -4)\/2. Let g(x) = -4*x**2 - 3*x - 3. Let l(w) = 1 - 6 + 4 - w - 2*w**2. Determine h*g(y) - 5*l(y).\nAnswer: 2*y**2 - y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (95840\/24)\/((-5)\/(60\/(-8))). Suppose -1270 = 10*c - n. Is c a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, s: 6, h: 1, v: 2, g: 1}. Give prob of sequence wvgw.\nAnswer: 1\/2970","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 17*i + 444. Calculate a(-26).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*c - 14*c - 208. Solve 3*i - 6*i + 5*a + c = 0, -2 = 3*i - 2*a for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the first derivative of -c**3\/3 + 2*c**2 - 2*c + 3. Let m = -8 - 7. Let r(h) = -2*h**2 + 9*h - 5. Let u(z) = m*g(z) + 6*r(z). Factor u(d).\nAnswer: 3*d*(d - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 176748, 176768, 176788, 176808, 176828?\nAnswer: 176848","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 4, 0*m + 22 = -3*m + 2*n. Let j be (-3448)\/m - 9\/(-45). Suppose -3*i + j = 9. Is 28 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -314275 + 474784. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 89 = 5*b - 160, 4*b + z + 1 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 5086064*i**2*w**2 + i**2 - 121177*w**2 - 7*w - 3 wrt i?\nAnswer: 10172128*i*w**2 + 2*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 3\/4 in -13, -176.9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) be the first derivative of 1\/2*v**2 + 9*v - 134. What is w(-3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((((3 + sqrt(11))*-2)**2 - (sqrt(11) - ((sqrt(11) - (sqrt(11) + -4)) + 5))) + 3).\nAnswer: -552 - 138*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 4 (b) 5 (c) 3 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jkjjjkzkjjzkz. What is prob of sequence jz?\nAnswer: 3\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 1394\/17*(4\/40)\/(-1) + 9?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -278 - -273. Let z(b) = 3*b**2 - 4*b + 8. Let u(r) = -2*r**2 + 3*r - 5. Determine i*z(p) - 8*u(p).\nAnswer: p**2 - 4*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h - 9. Let x be l(-10). Let a = 1 - x. Let j = 36 + a. Is j a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -52.952 to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/7, 5, 3.7, 3 in ascending order.\nAnswer: 1\/7, 3, 3.7, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 9296563 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qtass. What is prob of sequence qat?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:58 AM and 4:46 AM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = -c + 0*c - 2*c - c. Let b(m) = 17*m. Let v(l) = -b(l) - 4*d(l). Calculate v(-11).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 2502, 4986, 7474, 9966, 12462, 14962, 17466?\n\"Answer: 2*l**2 + 2478*l + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 221605170 is divided by 221605170?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 578586553 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10004?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45 is divided by ((-25)\/6)\/(315\/(-1890)).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:27 AM and 8:20 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -3*z + 22. Let t be w(2). Let n(p) = -p**2 + 16*p + 22. Determine n(t).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 10 + 236111?\nAnswer: 236121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -29\/1554 and -137\/42.\nAnswer: 1554","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -3 (b) 6 (c) 5 (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 12? (a) -841 (b) 2 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 0.2, -0.3.\nAnswer: -0.3, 0.2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -50\/531 and 47\/15?\nAnswer: 2655","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 11784?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-21)\/(-2))\/3 + -3. Let l(q) = -8*q**2 + 122*q - 142. Let o be l(14). Let w be 1 - ((-5)\/(-7) + 0). Which is the closest to w? (a) o (b) v (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7)\/(252\/(-138)) + 42\/36. Solve t + 2*m = -h, 3*t + 93 = -5*m + 81 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*w - 4*m - 7 - 3, -14 = -5*w + m. Let f(j) = 2*j**2 + 0*j**2 - 7*j - 6 - 3*j**w + 1. Suppose -6*y - 40 = -10. Calculate f(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 28 (b) 15\/4 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4314 - 12408604.\nAnswer: -12404290","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by 60.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 190 - -231. List the prime factors of d.\nAnswer: 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) be the first derivative of 47*k**2 - 5*k + 48*k**2 - 26 - 94*k**2. Calculate l(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 379 - 379.3. What is the nearest to -0.1 in a, -0.04, 0.3?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0022853 to three dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 divided by 1315?\nAnswer: 19\/1315","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(320) - ((1*sqrt(320) - sqrt(320)) + -3))**2.\nAnswer: 48*sqrt(5) + 329","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4, 39, 74, 109?\n\"Answer: 35*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*3*((((sqrt(102)*3 - sqrt(102) - sqrt(102) - sqrt(102))*5 + sqrt(102) - sqrt(102)) + sqrt(102))\/((sqrt(6) - sqrt(150))*-4) + -2).\nAnswer: -45*sqrt(17)\/16 + 90","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 204 a factor of 106488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -4, 1\/5, -1\/4, -0.5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 11153615 - -6?\nAnswer: 11153624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -0.1, 83, -2\/55671?\nAnswer: 83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -48720000 to the nearest 1000000.\nAnswer: -49000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 16013867237 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 70623063.\nAnswer: 3, 7, 53381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*c**2*j**2 - 404*c**2*j + 4*c**2 - 1730*c*j**2 - j**2 wrt c?\nAnswer: 4*j**2 - 808*j + 8","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 216 and 93336.\nAnswer: 840024","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = -3*g + 8, 14*f - 5*g = 9*f - 15. Calculate the remainder when 22 is divided by (22 - (-6 + 12)) + f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + 0.5. Let w = 0 + -0.46. Let z = w + 0.26. What is the smallest value in 1\/6, z, q?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2*(6\/9 - 1). Suppose -5*r + 13 - 3 = 0. Which is the closest to i? (a) r (b) -4 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 6*l**3 - 18*l**2 - 19*l + 58. Let i(d) = -5*d**3 + 13*d**2 + 16*d - 57. Give -4*i(f) - 3*m(f).\nAnswer: 2*f**3 + 2*f**2 - 7*f + 54","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 25016 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 34 = w, 4*a - 4*w + 1 - 41 = 0. Solve 0 = 5*o + a - 1 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 322 and 23?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/((-5148)\/16)*(-6)\/(-4)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -934 - -939. Which is the closest to -0.01? (a) 3 (b) z (c) -0.1 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 41*h**2 - 2*h + 1. Suppose -5*p + 4 = -1. What is the remainder when u(p) is divided by 14?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 3*b - 1963*b**5 + 474*b**2 - 389*b**2 + 230*b**2 wrt b.\nAnswer: -117780*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -5903*v**2 + 21*v - 1445228 wrt v.\nAnswer: -11806*v + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*i - 4*i = 3. Let f be (-3)\/6 - i\/2. Let z be f*3 - (-93 + 2). Calculate the greatest common factor of 22 and z.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1 - -3)\/2)\/3. Let f = 4 - 10. Let r = 5.8 + f. Is r less than g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + i + 111. Let q = -55 + i. Calculate the lowest common multiple of 36 and q.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -8, -13, -30, -65?\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 784 = 3*j + j - 4*p, 4*j + 3*p = 777. List the prime factors of j.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(216)\/(-1*-3*sqrt(12)).\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -15441, -1, -0.2, -8, 0.2, 2\/11?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2255.1 - 2150. Let w = 105.0999413 - q. Round w to six dps.\nAnswer: -0.000059","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280952?\nAnswer: 2, 7, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q**(-3\/4)*q**(-1))\/(q*q**(-1))**(-2\/29))\/((q**(6\/5)*(q\/(q*q*q\/(q*q*q**3*q))*q)\/q*q)\/(((q*q**(5\/6))\/q)\/q**(-2\/11))) assuming q is positive.\nAnswer: q**(-3917\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -12 + 88 - (-65 - -65 - (21 - -2))?\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -5*r**2 + 4482*r - 26906. Determine t(6).\nAnswer: -194","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -42237 (base 12) to base 13.\nAnswer: -30628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*n, -5*g + 3*n + 2*n + 19 - 54 = 0 for g.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*g - 4*g - 2*g - g as z + u*g and give u.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 202049 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i - 3. Let m be r(-2). Let d be 22\/(0 + 2 - 0). Let z(l) = 1 + 4*l + d*l - 4*l**2 - 18*l + l. Calculate z(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 3:48 PM?\nAnswer: 11:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(4\/9))**(4\/29)\/(v**(4\/5)*v*v**(8\/11)) assuming v is positive.\nAnswer: v**(-35399\/14355)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 6345352 and 1207068.\nAnswer: 1161199416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -41949, -83876, -125805, -167736, -209669, -251604?\n\"Answer: -r**2 - 41924*r - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express (2306 + 1913 + 2872 - 5889)*(1 + r - 1)*(-2*r + 2*r - 2*r**2) as l*r**3 + z*r**2 + y + x*r and give l.\nAnswer: -2404","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 28 + 8. Let h = i - 35.99999922. Round h to seven decimal places.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 3.387.\nAnswer: 1.6935","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254334 or -1271674\/5?\nAnswer: -1271674\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 3 + 0)*(79*z**2 - 6*z**2 + 15*z**2).\nAnswer: 176*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) be the first derivative of -j**4 + 4*j**3 + 50*j**2 + 84*j - 771. Solve i(f) = 0 for f.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -234 + 263. What is the highest common divisor of l and 203?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/264068?\nAnswer: -1\/264068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-2\/3)\/i)\/(((i**(-2)\/i)\/i)\/i)*(i**(2\/7))**35*(i\/(i\/i**0*i)*i**6)**(-13) assuming i is positive.\nAnswer: i**(-155\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1 + 0 + 11*h + 1 to c*h + d and give c.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/(f\/(f\/f**5*f*f)*f*f))\/f*f)\/f**2*f**(-5)*f**3\/f*f*f**(-1\/5)\/f**(2\/7)*(f*f*f**1\/f)\/f*f\/((f*f**3)\/f)*f assuming f is positive.\nAnswer: f**(-297\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:10 AM and 1:10 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**3 - 17*f**2 - 7*f + 90. Let u(y) = 2*y**2 - y - 1. Let x(i) = -q(i) + u(i). List the prime factors of x(-13).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 8*v. Let s(w) = -w**2 + 3*w. Let o = -19 + 21. Suppose -o*a = 3*a + 10. Let b be -3 - (-2 - a) - -14. Calculate b*s(r) - 4*p(r).\nAnswer: -3*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 2*m + 14 = 0, -4*f - 501 = 2*m - 507. What is the biggest value in f, 200, -3, 5?\nAnswer: 200","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -41 + 35. What is the third smallest value in -1\/2, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 - (9 + 2) - (-1 + (1 - -1))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 78 = -7*w - 5*b - 37, -46*b + 44*b + 56 = -4*w for w.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**2 - 6*j - 5. Let p be f(8). Let x be 3\/(p\/(-6)) - 0. Suppose n - 2*n - 3 = 0. Which is the nearest to -1? (a) 4 (b) n (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange q**3 + 6*q**2 - 6*q**2 - 3 + (2*q - q + q)*(2*q**2 + q**2 - 7*q**2) to the form l*q**2 + g*q**3 + j*q + u and give g.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2691 + 446. What are the prime factors of a?\nAnswer: 3137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 547465 is divided by 194.\nAnswer: 191","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) -2 (b) 15 (c) 20.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.8 - -0.3. Let s = -483\/5 + 97. Let f = -5 - -1. Sort f, n, s.\nAnswer: f, n, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 28\/(-8) + (-165)\/(-22). Calculate the highest common divisor of 43 and v.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*c + 680 - 673 = 0 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 60877, 60877, 60879, 60883?\nAnswer: 60889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 123\/335 or -16\/11?\nAnswer: -16\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (9 - -27)*(-6)\/(-4). Suppose p + 3*c - 68 = 5*p, 3*c = 3*p + o. Is 7\/p - (-358)\/4 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 2881934?\nAnswer: 2, 11, 101, 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/2 (b) -14 (c) 1\/3 (d) -0.4 (e) 5 (f) -1.751\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -12*i**2 + 189 - 161 - 3*i - 86 as x*i + l + s*i**2 and give x.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (-5 + 2)*(-25)\/15?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) be the third derivative of c**6\/60 - c**4\/8 + c**3\/2 + 6*c**2. Let z(i) = i**3 - i + 1. Calculate g(r) - 3*z(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 4*k**3 - k**2 + 27*k + 52. Give y(-2).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) = -16*a - 12. What are the prime factors of z(-8)?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v**3 - 22638*v**2 + 45273*v - 22636 = 0. Calculate v.\nAnswer: 1, 22636","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -19\/28, 1\/4, 2\/9, 5\/4 in decreasing order.\nAnswer: 5\/4, 1\/4, 2\/9, -19\/28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 5140 = 6*c. Is c a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q = p - 7 - 0, 3*p = 9 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*a - 28 = 42*a. Sort -1\/3, a, 1 in descending order.\nAnswer: 1, -1\/3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + 4 - (-2 - 58). Suppose -u = -2*k + 25. Let f = k - 89\/2. Which is the closest to 1? (a) f (b) 7 (c) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -125015*w**3 - 66453*w?\nAnswer: -750090*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6447333 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 67239536171 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 63 + (-23 - -8) + 4 + (4 - (4 + -11))\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7229, 7234, 7249, 7280, 7333, 7414?\nAnswer: 7529","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5428?\nAnswer: 2, 23, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*q - 3*q + 0*q)*(7 + 21 - 1 + (-4 + 0 + 1)*(1 + 3 - 5)).\nAnswer: 60*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -15852 + 15874. What is the third biggest value in 0, c, -4, 10?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (26 - 32) + (-5 + 2 - -17)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6660393 is divided by 2220128.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4 and 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 421460000 to the nearest 1000000.\nAnswer: 421000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6 - (-8 - -21 - 7)) + -24.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is f in -716*f**3 + 174720*f**2 + 348368*f - 7872 = 0?\nAnswer: -2, 4\/179, 246","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22\/3 or 5285?\nAnswer: 5285","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -3972874*q**2. Let n(k) = 7*k. Determine f(n(b)).\nAnswer: -194670826*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 103116283?\nAnswer: 67, 1539049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-9)*6\/4*3.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -691 + 682. Which is the closest to z? (a) -2 (b) -1 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = n**2 - n. Let c(s) be the second derivative of s**4\/6 - s**3\/6 - s**2 + 4975*s. Give 4*b(h) - c(h).\nAnswer: 2*h**2 - 3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 48999 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -13, -27, -57, -109, -189, -303, -457, -657?\n\"Answer: -m**3 - 2*m**2 - m - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 43*s + 16 = 42*s, -5*r + 31 = -4*s for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 - 356*r + 134*r + 181*r.\nAnswer: -41*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*c - c + 40 = 5*n, 5*n - 3*c = 32. Put 2, -12, n in descending order.\nAnswer: n, 2, -12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2 - 7 + 3)*(2 - 1 - 2) - 1 + 6 - 3)*(-5*b + 0*b + 3*b).\nAnswer: -8*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 5196352, 5 in ascending order.\nAnswer: -1, 5, 5196352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes before 1:06 AM?\nAnswer: 8:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -24? (a) -2 (b) -2\/11 (c) 9 (d) -16\/19 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l\/(l*l\/(l**(-2\/11)*l))))\/l**(-2\/7)*l**(-5)\/l*l\/(l*l**(-1\/2)*l*l))**(2\/11) assuming l is positive.\nAnswer: l**(-929\/847)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1613496 divided by -296.\nAnswer: -5451","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 230814?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + 1 + sqrt(704) - ((-1 + sqrt(396))**2 + 1*(1 + sqrt(11))))*-2.\nAnswer: -38*sqrt(11) + 786","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.94428 litres in millilitres?\nAnswer: 3944.28","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(171) - (sqrt(171) + 0))*-6)**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3, 2\/39, 0.07, 2\/7, -1.81 in descending order.\nAnswer: 3, 2\/7, 0.07, 2\/39, -1.81, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-115)\/(-35) - 4\/14. Suppose -4*h + 3159 = 5*u, 0 = -0*u + u - t*h - 628. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*q - 22*q - 24*q = 0. Factor 0 + 4\/5*k**3 + q*k + 1\/5*k**5 + 0*k**2 - k**4.\nAnswer: k**3*(k - 4)*(k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -19479 - -19385. Sort a, 7, 3.\nAnswer: a, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of 0*g + 0*g**5 + 1\/10*g**6 + 0*g**4 - 3*g**2 + 5\/3*g**3 + 0. Differentiate b(y) with respect to y.\nAnswer: 36*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/((-2691)\/92))\/((-16)\/(-104))\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 900 and 4.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -52*h**2 + h - 4. Let r(j) = 17*j**2 + 1. Calculate -7*r(a) - 2*u(a).\nAnswer: -15*a**2 - 2*a + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 714559.8 millennia to months.\nAnswer: 8574717600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 10336690?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -529, -677, -825, -973?\nAnswer: -1121","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2205*m**2*x**2 + 5*m**2*x + m**2 + 4*m*x + 435*m + 1420*x**2 + 1 wrt x.\nAnswer: -4410*m**2 + 2840","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Product of -69 and -0.13518.\nAnswer: 9.32742","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k = 28*k + 180 for k.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -8 at most -826\/89?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 157, 260, 521, 1012, 1805?\nAnswer: 2972","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 5, y: 11}. What is prob of picking 3 y?\nAnswer: 33\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/4 - 90847\/36. Let x = 10063\/4 + p. Calculate the common denominator of -91\/18 and x.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-m + 4*m - 5*m)*(-5 - 1 - 1)*(-2 - 5 + 5)*(0 + 2 - 3).\nAnswer: 28*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 24\/10 - ((-264)\/55)\/(-12). Which is the closest to 0.1? (a) -0.01 (b) -1.2 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) be the third derivative of -s**8\/6720 - 19*s**7\/1680 + 5*s**5\/6 - 128*s**2. Let w(u) be the third derivative of c(u). Factor w(b).\nAnswer: -3*b*(b + 19)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 198 + 1\/(4 - 5). Suppose -5*k = -f - 183. What are the prime factors of k?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -844, -3390, -7634, -13576, -21216, -30554, -41590?\n\"Answer: -849*x**2 + x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9.88 + 0.12. Let n = 10.00000013 - r. What is n rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 3 = -a, 2 = -5*j + 2*a - 4. Suppose j = 2*o - 6*o. Let z = 1 + 1. Solve z*d + o*d + 2 = 0 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.068584 rounded to one dp?\nAnswer: 30.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 6*q**2 - 3*q - 7. Let p be o(4). Is p at least as big as 77?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1*5*-1*42\/(-42). Suppose 0 = -k*a - 5*w + 960, 2*a + 3*w - 260 - 120 = 0. Does 49 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, 3\/2, -5, -28692?\nAnswer: -28692","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 11530*f - 761*f - 742*f in the form x + d*f and give d.\nAnswer: 10027","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 781973 is divided by 5075.\nAnswer: 423","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/(s\/s**(5\/7)))\/(s*s\/((s*s\/s**(-22)*s)\/s)))\/(s**(-7\/2)\/(s**(-1\/10)\/s*s)) assuming s is positive.\nAnswer: s**(914\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*m - 2*x - 125428 + 125452, m - 5*x + 9 = 0 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -286765 <= -286613?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1633898083.7 - -4.\nAnswer: -1633898079.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -n**3 + 8*n**2 + 35*n - 22. Let c be r(11). What is the closest to -2\/3 in -2\/15, -1, -2, c?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 27.2 + -27. Let b = 74 + -79. What is the fourth biggest value in -6\/7, -4, p, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(220) - (-3*sqrt(220) - sqrt(220)))*-6)\/sqrt(4))\/(4*sqrt(176)*-2*-4).\nAnswer: -75*sqrt(5)\/64","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 7\/8, 5 in descending order.\nAnswer: 5, 7\/8, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19 + 22. Which is the closest to 0.1? (a) 0 (b) 2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -16 in -7.2, -0.5, -2, 143?\nAnswer: -7.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5980484 to the nearest integer?\nAnswer: 182","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 27 = -2*v + 5*d, -5*v + 7 = 2*d. Suppose -v*s + 1853 = 14*s. Does 8 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:42 AM and 12:13 PM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5061, -5024, -4969, -4890, -4781, -4636, -4449, -4214?\nAnswer: -3925","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-5)\/10)\/(2\/(-924)). Suppose -10*s + 1141 = b. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3950718, -7901518, -11852318, -15803118, -19753918?\nAnswer: -23704718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.7 times 1734\nAnswer: -1213.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*-4*(-2*(sqrt(1100) + -1) + -4*(sqrt(1100) - -1*sqrt(1100)))*6)**2*3.\nAnswer: -2764800*sqrt(11) + 760347648","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -16 + 15.5. Which is the second smallest value? (a) f (b) 1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 9, 8, 452, -56 in decreasing order.\nAnswer: 452, 9, 8, 4, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (n + n + 0*n)*(-3*n**2 - 3*n**2 + 4*n**2) - 32*n - 42*n**3 - 87*n**3 - 2*n**2 + 123*n**3 to v*n**3 + x + r*n + w*n**2 and give r.\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 415 and 166.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -c**6\/6 - c**5 - 25*c**4\/12 - 5*c**3\/3 - 19*c - 1. Solve l(h) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 63 - 53. Calculate the greatest common factor of a and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -1873, 60.\nAnswer: -1873, -2, 60","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 887.5099 millennia to months.\nAnswer: 10650118.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -848, -3425, -7728, -13757, -21512, -30993?\n\"Answer: -863*z**2 + 12*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1958?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-6750)\/(-15) - (-8)\/(-2). Suppose -2*q = 4*a - 8*a + s, 5*a - q = 553. Does 19 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from oboeeeefe. Give prob of sequence fe.\nAnswer: 5\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 157743343?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*o + 5369 = -19*o. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**3 - 92*o**2 - 522*o + 612.\nAnswer: 2*(o - 51)*(o - 1)*(o + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 12 - 3 = 5*o, n - 2*o = 6. Let f(q) = -71 + q + 143 - 71. What is f(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-28)\/(-12)*7\/((-196)\/8)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e5866 (base 16) to base 2.\nAnswer: -11100101100001100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -1688.92525 rounded to the nearest 10?\nAnswer: -1690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -58 - -60. Calculate the remainder when 10 is divided by p.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-17)\/(-238) + (-285120980)\/56. Suppose -4*d + 3*q = 3008483 - 41374267, 0 = 4*q. Let h = r + d. Round h to the nearest 1000000.\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the second derivative of -j**3 + j**2\/2 - 12*j. What is s(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -41542*n + 5*n**2 + 11852*n - 10*n**2 - 44074805.\nAnswer: -5*(n + 2969)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (6 - -60) - (-215 + 205).\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 85? (a) 2 (b) -5 (c) 4045 (d) -1.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 - 18*o - 3*o**4 + o**4 + 26*o + 3*o**2 + o**3 + 0 - 6*o as t*o**2 + z*o + u + y*o**3 + s*o**4 and give s.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 303\/7 - 8\/28. Let q = 28 - z. Let l be (-2)\/(-2) - q\/(-6). Is l less than or equal to -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = -24*y + 165. Let w be z(7). Let x(a) = 6. Let l(c) = -c**3 - 5. Give w*x(s) - 4*l(s).\nAnswer: 4*s**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -1485 + 2665. What is the thousands digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 551254 to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 173347 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0\/(-6 - (-65)\/(-15)*-3). Let d(h) be the first derivative of -13\/3*h**3 + h + k*h**2 + 10. What is the first derivative of d(z) wrt z?\nAnswer: -26*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -5 + 32*d + 3*d**2 - 30*d - d**2. What is the tens digit of v(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**2 + 15*u + 11. Let h(b) = -3*b**2 - 4*b + 17. Let t be h(-4). What is the least common multiple of j(t) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4156599433?\nAnswer: 7, 17, 120863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = d - 3. Let v be 4 - 156\/(-16) - 1\/(-4). Suppose 6*p - v = -p. What is the smallest common multiple of p and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 15 = -x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 6*l + 3. Let j be 23*14\/(-140) - (-6)\/20. What is d(j)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 945077 and 553?\nAnswer: 553","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 259 + -11. Suppose -19*r + z = -15*r. What is the remainder when r is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 76 and 171?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express y**2 - 2 - 93 - 176*y**3 + 177*y**3 in the form n*y**3 + a*y + o + i*y**2 and give n.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -13387, -26775, -40163, -53551, -66939, -80327?\nAnswer: -93715","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -18 + (-28 + 14 - -24) - -33\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is a in 1736*a - 4*a**5 - 17*a**3 - 3*a**4 + 3*a**2 - 1736*a + 2*a**3 + 19*a**5 = 0?\nAnswer: -1, 0, 1\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(171) - (sqrt(171) - (-2*sqrt(171) - sqrt(171)) - sqrt(171) - sqrt(171))*-5 - -3*sqrt(171)*-1)\/(sqrt(576) - -6*-1*sqrt(576)))*1.\nAnswer: -2 - sqrt(19)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 414*u**3 - 1412*u**2.\nAnswer: 2484","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = -10387*u**2. Let f(q) = 38348*q**2. Give f(s(y)).\nAnswer: 4137356861612*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -118 - -117.999235. What is j rounded to 5 decimal places?\nAnswer: -0.00077","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -l**3 + 7*l**2 + 16*l - 12. Calculate the remainder when 102 is divided by n(8).\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**2 + 2*n - 3. Let i be g(3). Let k(o) = 3*o - 8. Let d be k(4). Let u(b) = -9 - 4*b + d + 2*b. What is u(i)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/(-5))\/(3\/30). Let s be 2 - (-3 + 635\/(-5)). Suppose -2*x + 29 = 5*f - s, -5*f - 103 = -x. Calculate the greatest common factor of b and x.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 10\/35 - (-19)\/7. Suppose 2*z - i*u + 4*u = -13, -2*u - 2 = -2*z. Is z <= 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 3, n: 5}. What is prob of picking 2 n and 2 m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25215 - 25212. Let k = -0.5 + 0.8. What is the second smallest value in 5, 5\/3, b, k?\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -180 - -902\/5. What is the closest to 0.1 in 3, g, 74?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(2240) + sqrt(2240)*2 + sqrt(2240) + sqrt(2240))\/sqrt(7) + sqrt(5) + -1 + 3 + (sqrt(5) + -1 - sqrt(5)) + -3.\nAnswer: -2 + 41*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that -2*o**3\/7 - 108*o**2\/7 - 30*o - 104\/7 = 0.\nAnswer: -52, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 33523 to the power of 1\/5, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -i**5 - 1089*i**4 - 18*i**3 + 528396*i wrt i?\nAnswer: -20*i**3 - 13068*i**2 - 108*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(55) - sqrt(220)\/sqrt(4))*3)\/(-3*sqrt(11)*-1).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5016 + -1497. List the prime factors of p.\nAnswer: 3, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17626 greater than or equal to -17627?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g**2 - 5\/6*g**4 + 6*g - 17\/6*g**3 + 0 = 0. What is g?\nAnswer: -6, -2\/5, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*i = -35*i - d - 19, d + 9 = i. Put -2, -1187, i in ascending order.\nAnswer: -1187, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2285 + -2306 + -38 + -3?\nAnswer: -62","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-4 - -2) + -31)*(-7)\/1. Let l = f + -397. What are the prime factors of (l\/(-12) - -1)*6?\nAnswer: 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-1)\/1)\/(20\/(-6) + 3). Let k(x) = x + 1. Let r(q) = q + 4. Let y(u) = 2*u + 7. Let n(p) = -7*r(p) + 4*y(p). Calculate m*n(l) - 2*k(l).\nAnswer: l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 36 = 4*g + 4*w, g - 2*w - 6 = -3*g. Suppose -g = -3*d - d. Let i(y) = 15*y**3. Let m be i(d). What is the highest common factor of 60 and m?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v = 5*z - 19, -4*z - 3*v = -z - 21. Suppose -z*i = -3 - 3. Let h = -6 + 2. Put -3, i, h in decreasing order.\nAnswer: i, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 2*l - 23, -3*l - 5*h + 80 = 2*l. What is the second derivative of -34 + 15*o**3 + 34 + l*o - 39*o**3 wrt o?\nAnswer: -144*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1204123 - 10?\nAnswer: 1204113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*g + 4, -2*z = -g + 2*g - 37. What is the third derivative of 5*y**3 - 11*y**2 + 10*y**2 + z*y**2 wrt y?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 52, -108, -22, -5 in ascending order.\nAnswer: -108, -22, -5, 52","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3949 = -259*v - 1231 for v.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 17950, -1307 in ascending order.\nAnswer: -1307, 0, 17950","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4195 - 21181\/5. Let v = r + 42. Let c = v - 17\/15. Is -1 < c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u\/(u**(-2)\/u)*u)**6)**(5\/9) assuming u is positive.\nAnswer: u**20","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 52*i - 106. What is f(0)?\nAnswer: -106","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 32 + 196. Let d be (1 - -8)*(-1)\/(-3). Suppose 5*l - d*f - y = -7*f, -5*f - 28 = -4*l. Is l a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 12:06 AM?\nAnswer: 11:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 308361897 to the power of 1\/7, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -26ca2 (base 16) to base 9.\nAnswer: -261845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/3*28 + 2. Let l be 4\/f + 111\/(-39). Put -4, l, 0 in ascending order.\nAnswer: -4, l, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 4\/(-14) - (-176)\/28. Let g(h) = -n + 3 + 4 + h. Let j be g(1). Solve 2*c = c - j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 3*l + 0*l)*(-l**4 - l**2 + l**2) + 3*l**5 + l**5 - 3*l**5 + 499*l**2 - 499*l**2 - 16*l**5.\nAnswer: -14*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 5) in base 13?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5767255 and 1111370.\nAnswer: 5395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/4880 and 31\/7808.\nAnswer: 39040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 236 in -4.9, 2, -1, -14, -1\/2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1193864\/11 less than 108532?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7462575, -7462573, -7462571?\n\"Answer: 2*o - 7462577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + 3*(3*sqrt(165)\/(sqrt(18)\/sqrt(6)))\/(1*-3*sqrt(891))*-2)**2.\nAnswer: -4*sqrt(5) + 101\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = -2*q - 3*q + 0*q + q. Let z(x) = 2*x**2 + 8*x. Let p(c) = -c**2 - 5*c. Let s(v) = 8*p(v) + 5*z(v). Give s(l(d)).\nAnswer: 32*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7838, -7913, -7982, -8045, -8102?\nAnswer: -8153","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 7\/5, 3\/5, 4\/37, -57, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 73231 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 14\/49 + 0 + 19\/7. Let r be ((-1)\/3)\/((-2)\/108*y). What is the highest common factor of 18 and r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 127345552 + -127345547.19999962. Let l = 51.8 - 47. Let p = u - l. Round p to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {q: 3, o: 1, e: 4}. What is prob of picking 3 e?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0 + 2. Suppose 3*b = -14 + 41. Suppose -3*s - 3 = -b. Is j not equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5997181 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28 - 32. Let z be 3 - (60\/s - -3). Solve -12*l = -7*l + z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57498426 is divided by 179?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/(w\/w**(-8))*(w**(-2\/73)\/w)\/w assuming w is positive.\nAnswer: w**(-732\/73)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -115 + 125. Let f(h) = 3*h - 27. Let p be f(n). Determine u, given that -2*u**p + 304*u**5 - 4*u**4 + 4*u**2 + 0*u**4 - 302*u**5 = 0.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 2*o = -7. Let i be ((-10)\/(-15))\/(1 - (-20)\/(-24)). Solve -i*d = -o*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/9, 3, 105, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 8471 and 591.\nAnswer: 197","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3527*c**3 - 718*c*p + 292796*p with respect to c.\nAnswer: -10581*c**2 - 718*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.04 in -1\/3, 10, -3, 0.42, 43?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = 4*a**2 + 0 - 4 + 4*a**2 - 2*a**2. Let v(t) = -3*t**2 + 2. Give 2*o(y) + 5*v(y).\nAnswer: -3*y**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (2 - 1) - ((-76 - -25) + 1).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-34)\/(-612)*8 + ((-5307)\/1188 - -4)\nAnswer: -1\/44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3350679 + 3350678.88866115. Let v = a - 151.88777115. Let l = v + 152. Round l to 4 decimal places.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3*22\/10098*18\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3162 + 1236 = 207*u - 3264 + 1038 for u.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 174 - 186. Let c be (-9)\/u - (-50)\/40 - -74. Let r be (39 - 1)*3\/6. Calculate the greatest common divisor of r and c.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15 + 43. Suppose 4*n - l = 32. Suppose -5*g + 4*s + 84 = 0, -g = 2*s - s - n. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20.14? (a) 0 (b) 1 (c) -1\/3 (d) -14\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -10*w**3 - 11*w. Let u(y) = 2*y**3 + 2*y. Let s(v) = v**3 - 13*v**2 - 11*v - 20. Let h be s(14). Give h*u(d) + 4*n(d).\nAnswer: 4*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 14*l + 42. Let b be f(-3). Suppose b = -32*s + 207 - 79. Solve 0 = -s*j - j - 5*r + 10, -4*j = -4*r for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0065880431 rounded to five decimal places?\nAnswer: -0.00659","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -52.31 and 28.2?\nAnswer: 80.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -6602204878 from -1035.\nAnswer: 6602203843","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -62*i**3 - 17 - 16 + 34.\nAnswer: -62*i**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t**2\/9 + 404414*t\/9 - 1617688\/9 = 0. Calculate t.\nAnswer: -202211, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 0.6199304 years?\nAnswer: 0.006199304","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 9.5 - 461\nAnswer: -451.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -8a25301 - 29?\nAnswer: -8a2532a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -0.1. Let f = -0.9 + 0.4. Which is the smallest value? (a) f (b) -0.3 (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence iqiy when four letters picked without replacement from {q: 5, i: 4, x: 1, y: 6}?\nAnswer: 3\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y\/y**(-2\/7))\/y)**(-28)\/(((y*y\/((y*y\/y**(-2))\/y)*y)\/y*y)\/(y*((y*(y\/y**(-3))\/y)\/y)\/y)))**(24\/11) assuming y is positive.\nAnswer: y**(-120\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (19\/4)\/((-27)\/(3348\/31))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 108550510 and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*v + 161 + 163 = 0. Is v a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6 = -4*w - p, 18*w - 75*p + 79*p - 28 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1725458?\nAnswer: 2, 7, 37, 3331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 38 = -57. Suppose 3*k + x - 58 = 0. Calculate the remainder when 76 is divided by k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*i - 4*u - 6 + 2 = 0, -3*i + 10 = -2*u for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 28958 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 s(n) = -110*n - 1426. Determine s(-13).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 13277 divided by 6\nAnswer: 13277\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes after 8:35 AM?\nAnswer: 5:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v and 1 x when two letters picked without replacement from {x: 9, v: 2}.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.4, 5, -2\/21, 0.01, -3\/2 in descending order.\nAnswer: 5, 0.01, -2\/21, -0.4, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 152291\/210 + 1\/10. Let w = 27973\/15 - n. Let d = -1143 + w. What is the common denominator of d and -4\/5?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = -4*a**2. Let w(i) = -78 + 17 + 398*i - 78 + 139. Determine q(w(k)).\nAnswer: -633616*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s**2 + 4*s - 7. Determine p(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (6\/9)\/((-4)\/(-24)). Suppose -3*n + 126 = 4*v, -r*v - 2*n + 62 = -2*v. Suppose -v*z + 35*z = 220. What is the hundreds digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -46\/41643 and -20\/119679?\nAnswer: 237323457","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3\/7 + 456*s**2\/7.\nAnswer: 3*s**2*(s + 152)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.001884225061 rounded to six dps?\nAnswer: -0.001884","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 763 (base 10) to base 7\nAnswer: 2140","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {a: 2, d: 16}. Give prob of sequence dd.\nAnswer: 40\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-7\/2)*a**6 assuming a is positive.\nAnswer: a**(5\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14 = 57*l - 71*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + -5. Let w(i) = -2*i - 11. Let s be w(q). What is the second derivative of 0*g**s + 0*g**5 - g - g**5 wrt g?\nAnswer: -20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 87*u - 9317. Determine k(108).\nAnswer: 79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -b - -267?\nAnswer: 25c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 274735?\nAnswer: 5, 23, 2389","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 q when two letters picked without replacement from {q: 1, i: 1, y: 2, u: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -4*r - 5. Let z be b(-1). Let h be 0\/z*((-8)\/3 - -3). Suppose h*x + 3*f = -4*x + 121, -4*x - 2*f + 126 = 0. Is 3 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 2*b - 1. Let u be (-6)\/(0 + 2) + 1. Let k(x) = -4*x - 2. Let t be k(u). What is the tens digit of z(t)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.08801672242 to four decimal places.\nAnswer: -0.088","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 103 + 81 = 2*p, 0 = -5*p + 4*a + 464. Is ((-18)\/(-8))\/(p\/11264) a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 3*q + 16. Let t be d(-4). Let l(z) = z**3 - 3*z**2 - 5*z + 4. What is l(t)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 24762 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) be the first derivative of -a**7\/84 - a**6\/30 - a**5\/40 - 8*a - 6. Let x(u) be the first derivative of w(u). Factor x(n).\nAnswer: -n**3*(n + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, i: 6, s: 2, z: 2}. What is prob of sequence ss?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 22740656 a multiple of 367?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4*v**3 + 13*v**2 + 200*v + 57795.\nAnswer: 12*v**2 + 26*v + 200","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/3*(104\/(-910))\/(2\/(-245)*5)\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 252 minutes before 6:22 PM?\nAnswer: 2:10 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 s and 1 a when three letters picked without replacement from {o: 3, s: 5, a: 2}?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 33608 - -84?\nAnswer: 33690","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5520c5 (base 13) to base 3.\nAnswer: -10202210201202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42*-3.76.\nAnswer: -157.92","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((m\/m**(2\/3))\/m)\/m)\/m**0)\/((m**(-1)*m)\/m*m*m*m*(m\/(m\/((m*m*m**(1\/4))\/m))*m)\/m) assuming m is positive.\nAnswer: m**(-59\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m = 3*p - 9, 0*p = 3*p - m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2706 + 2561. Which is bigger: a or -136?\nAnswer: -136","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.8? (a) 4 (b) 0.6 (c) -1587\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - 2. Let m = l + 4.8. What is the nearest to 1 in 0, 4, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21459227 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -194*f**3 + 781*f**3 + f**2 - 207*f**3 - 193*f**3 - 181*f**3 - f**2.\nAnswer: 6*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n = -8. Let a be (-6 - -1)\/(n + 1). Let i be 4\/a*(-5)\/(-2). What is the highest common divisor of 4 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*b**2*n + 313*b**2*t + n**2*t + 500*n**2 wrt t.\nAnswer: 313*b**2 + n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 254*v + 474*v + 327*v - 1.\nAnswer: 1055*v - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3575260 by 893815.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 124121 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(63)*2)\/sqrt(9) - ((sqrt(7) - sqrt(35)\/sqrt(5)*-1)**2 + sqrt(7)).\nAnswer: -28 + sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 1, a: 1, i: 1}. Give prob of sequence ail.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 129531229 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 - (4 + -2) - (-187 - -190)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aa when two letters picked without replacement from {a: 8, c: 4, n: 1, d: 2}?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 3238a74 (base 11) to base 5\nAnswer: 2424131042","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 159\/33 + -5 - 159\/33. Let x = 0.103 - 0.613. Let l = x - -0.01. What is the nearest to -1 in l, n, 3\/8?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is b56388 - -2?\nAnswer: b5638a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2*l**2 + 2)*(158*l**2 - 102*l**2 + 136*l**2) as z*l + y*l**4 + r*l**2 + k + q*l**3 and give y.\nAnswer: -384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 706.7 rounded to the nearest ten?\nAnswer: 710","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -6906412, -13812815, -20719218, -27625621, -34532024, -41438427?\n\"Answer: -6906403*w - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.577 + -0.277. Sort b, 14, 4, -0.1 in decreasing order.\nAnswer: 14, 4, b, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of p**6 + 201*p**3 + 301*p**2?\nAnswer: 120*p**3 + 1206","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = -n**3 - 3*n**2 + n + 3. Let y(m) = m - 7. Let k be y(2). Does 16 divide f(k)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 346.5 to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6220 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2327 in -2\/7, 25, -3?\nAnswer: 25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 157 - 118. What is the remainder when o is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 191413 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -s**2 + 2*s + 2. Let h(y) = 2*y**2 - 5*y - 3. Let l(q) = -2*h(q) - 5*u(q). Let i(k) = 2*k**2 - 4. What is -2*i(p) + 3*l(p)?\nAnswer: -p**2 - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-200)\/(-6) + (-44)\/33. Suppose 1079 = -l*j + 33*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 6, -1, -13 in decreasing order.\nAnswer: 6, -1, -5, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 45\/918*153\/340*-2\nAnswer: -3\/68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*o - 4*k + 4, -50 = -4*o + 2*k - 28 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000193563 to 5 decimal places.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/64)\/((107 + (-1179)\/11)*33\/(-6)).\nAnswer: -1\/64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 950 + 138. Does 32 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45523251 + 34?\nAnswer: 45523315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 0) + -10 - (-79 - (-102 - -36))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -15 or -71\/5?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 6206673?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 25000403 (base 6) to base 14.\nAnswer: 169163","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 35 - 30. Calculate the remainder when (6\/(-15))\/((-1)\/30) is divided by o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 3900 and 636.\nAnswer: 206700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1897259524341 + 28?\nAnswer: -1897259524313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(40)\/((2*sqrt(10) + sqrt(10))*-5))\/((sqrt(18) + sqrt(108)\/(2*sqrt(6)))\/sqrt(9)).\nAnswer: -1 - 2*sqrt(2)\/45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = 307*q - 60. Suppose 4*i + 70 = -2*z, -z = -3*i - 5*z - 40. Let c be f(i). What is c rounded to the nearest one thousand?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = f + 13. Let y be m(-16). Suppose -5*r + 31 = -3*v, 4*r + 0*v - 16 = -2*v. Let d = r - y. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -y**3 - 12*y**2 - 12*y - 9. What is the units digit of o(-11)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 76761?\nAnswer: 3, 2843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x**4 - 3665*x**3 + 155*x**2 + 113765*x + 109950 = 0.\nAnswer: -733, -5, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 45 + -36. Factor r*s**2 - s**3 - 8 - s + 4*s**2 + 2 - 9*s**2.\nAnswer: -(s - 3)*(s - 2)*(s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-5*q + 5*q + 2*q + (-2 - 3 + 4)*(-q + 3*q - q) + q - 1 + 1)*(32 + 20 - 20)*(0*q + 2*q + 0*q) as o*q**2 + c*q + v and give o.\nAnswer: 128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 94567333.\nAnswer: 7, 13509619","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, -701, 131 in decreasing order.\nAnswer: 131, 2, -1, -701","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1119282 is divided by 415?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1448 and 16602406.\nAnswer: 362","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -1. Suppose -1 = a - 0*a. Let v(l) = -3*l - 6. Let r(w) = -w - 1. Let y(x) = -2*r(x) + v(x). Let q(z) = a*y(z) + 2*t(z). Calculate q(-2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = d + 4. Let k be m(6). Let z be (1\/k)\/((-12)\/45). Which is the nearest to 0.2? (a) z (b) -0.5 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56*v + 49882 = 2*u + 54*v, v + 99743 = 4*u. List the prime factors of u.\nAnswer: 2, 7, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = 2*m + 8. Let b = m - -6. Solve -1 = -o - b for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 99 - 88.31. Let d = -10.691461 + r. Round d to 5 dps.\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -124 + 139. Suppose o + 3*k + v = 3*o, 0 = 4*o - 5*k - 29. What is the greatest common factor of 9 and o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -30*q - 251 = -29*q. Let u = q - -253. Solve a - 7 = i, i + 25 = -u*i + 5*a for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -33 divided by -5.\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Total of -26525493043 and -1.\nAnswer: -26525493044","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 2*t. Let q(v) be the second derivative of 13*v**3\/6 - 5*v. Determine q(h(i)).\nAnswer: 26*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -14*p - 2. Let a be f(-2). Let c = a + -37. Let k = 20 + c. What is the greatest common divisor of 9 and k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 (base 14) to base 6\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 416 minutes before 12:55 AM?\nAnswer: 5:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -109\/102 and 79\/3917910.\nAnswer: 66604470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2\/5 - -1\/15. Let a be ((-1)\/15)\/((-29)\/(-174)). Put a, f, 2\/17 in descending order.\nAnswer: 2\/17, f, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**6\/30 + h**5\/5 - 5*h**4\/12 - 7*h**3\/6 + 127*h. Find the third derivative of j(q) wrt q.\nAnswer: -24*q + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/39)\/((-160)\/120).\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 8*n - 7*n + 5*k + 10, 0 = -5*n + 3*k - 22. Let x be (19\/n)\/(-1) + 573\/(-191). Let u be (4 - 1)*2\/2. Sort u, -4, x, 5 in ascending order.\nAnswer: -4, x, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - p = -4*p + 8, p = 5*d + 12 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 112204 (base 6) to base 4\nAnswer: 2111230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 41487 a multiple of 61?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*j**3 - 1 - 19*j**3 + 10*j**2 - j + 14*j**2 - 7*j**2 - 2*j - 2*j**4 to the form d*j**4 + h + s*j**3 + m*j**2 + w*j and give m.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 168 and 8?\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2523 + 1789 = 7*p. What is the hundreds digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -21 - -21.5. Suppose 2*q + 2*q + 5*r + 14 = 0, -4*q + 5*r = 34. Let w be (-12)\/(-54)*q\/(-4). Which is the biggest value? (a) l (b) -2 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is c6815627 + -3?\nAnswer: c6815624","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1\/((-106)\/36 - -3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2 - 4)\/(10\/(-15)). Suppose -r*x + 7*x - 6236 = 0. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.5, 0.8, -0.219, 0.26?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1040 + 7247\/7. Let c = 139\/28 + d. Which is bigger: c or 0?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) be the second derivative of 3*s**3\/2 - 7*s + 36. Let t(q) = 8*q**2. Calculate u(t(i)).\nAnswer: 72*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 301*i**2 - 301*i**2 + 0*i**3 + 3*i**3.\nAnswer: 3*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vls when three letters picked without replacement from {a: 1, o: 1, l: 3, v: 3, s: 2, d: 5}?\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 3. Let h be r(-2). Let c = h + -13. Is ((-962)\/8)\/(2\/c) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12751?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (1212\/2)\/(-6)*-7. Suppose -2*g + a = 3*y, 4*g + 1758 = 9*g - 2*y. What are the prime factors of g?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.9598405 nanograms to milligrams.\nAnswer: 0.0000009598405","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.9 - -0.9. Let g = -12.1 + 12. Sort g, v, 0 in ascending order.\nAnswer: v, g, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 7*m**2 + 589*m + 1144. Let l(d) = -5*d**2 - 585*d - 1145. Let p(z) = -5*b(z) - 6*l(z). Factor p(v).\nAnswer: -5*(v - 115)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46327409 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 1\/2, 1\/13, 36?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 27 or 138\/5?\nAnswer: 138\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-40)*((1 - 4) + 2). Which is smaller: 21 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 106800745?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -47 + 49 + (65 - 29) + -27?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1583, -2\/45, -2, -1\/4, 5.\nAnswer: -2, -1\/4, -2\/45, 5, 1583","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 9024 to the power of 1\/3, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -179 < -2919065?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 343959 + -83660. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15659.35 litres to millilitres.\nAnswer: 15659350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from lfblg. Give prob of sequence lglg.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -4, -2, -0.13, -1, -824.\nAnswer: -824, -4, -2, -1, -0.4, -0.13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3268 is divided by 14.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3215 or 3835?\nAnswer: 3215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -103 + 1043431413?\nAnswer: 1043431310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = p**2 - 3*p - 2. Let w be d(4). Suppose -2*g + 97 = -g + w*b, 2*g + 2*b - 198 = 0. List the prime factors of g.\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-u**2 + 2*u**2 + 0*u**2)*(-165 + 185 + 139) in the form t + r*u**2 + w*u and give r.\nAnswer: 159","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16533239 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: ((-918)\/2040)\/((-6)\/20)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2*u + 57 - 47, -4*u = -p - 22. What is the nearest to 12 in 0.27, p, 3\/5, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12979387.8+0.06\nAnswer: 12979387.86","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 7656 and 1056?\nAnswer: 30624","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1460 - 1535.7. Let y = k + 72. Round y to zero dps.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r**5\/3 + 908*r**3\/3 - 904*r**2 - 14368*r\/3 - 3584 = 0. Calculate r.\nAnswer: -16, -2, -1, 7, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0, -13, 1\/3, 3, -0.4, -1\/31?\nAnswer: -1\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 15709?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 726 divide 1973213?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*q = 5*q + 4. Suppose -3*k + n + 10 = 2*n, -n - q = 0. What is the units digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-70 - 69 + 140)*(-n**4 + 2*n**5 + n**4).\nAnswer: 2*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, and 1 k when three letters picked without replacement from rrrrrrmrk?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.3 in 2\/9, -157, -4, -3, -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 8*d - 12*d. Let v(y) = -1 - 1 + 12 + 2*y**d + 4 - 23*y. Let i be v(11). Solve 2*l - 8 = -3*t, -4*t - 2*l = -i*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 792 - 1648 + 827 = 29*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -53 - -242. What is the greatest common factor of 21 and o?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.9107794 centimeters in meters?\nAnswer: 0.009107794","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 127 and 10414.\nAnswer: 127","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 11?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 4 = 0, 5*a - w - 10 = -41. What is the nearest to a in 1\/3, -2, 7?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -94*y. Let b(c) = 1. Let u(a) = 2*a - 5. Let l(z) = -5*b(z) - u(z). What is l(r(d))?\nAnswer: 188*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 5*g - 11. Let v(j) = -j + 2. Let t = -10 - -10. Suppose -4*d = -m - 3, -2*d - 4*m + 24 = -t*m. Let k(a) = d*b(a) + 11*v(a). What is k(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 16\/32 + 14\/4. Suppose -k*x = 30 - 558. What is the units digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*j**3 + 2342536*j**2 - 4685060*j + 2342528.\nAnswer: -4*(j - 585632)*(j - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -169*m**3\/2 + 78*m**2 + 315*m\/2 + 49 = 0.\nAnswer: -7\/13, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 652*j - 1100*j = 888*j - 62894 - 14594 for j.\nAnswer: 58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0172 plus -9262.63?\nAnswer: -9262.6128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.5 times -0.03887\nAnswer: -0.019435","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 11*m - 1376 = 0. Let s = 118 - m. What are the prime factors of s?\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -455361 + 2?\nAnswer: -455357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**4*y*y\/y**2*(y**3*y)**50)**48 assuming y is positive.\nAnswer: y**9792","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5357362444 - 5359172203.30438. Let g = 1809712 + b. Let p = g + 47.3. Round p to 4 dps.\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 2931413, 2931412, 2931411, 2931410, 2931409?\n\"Answer: -i + 2931414","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9383621?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u**(-2\/7)\/u)\/u**(2\/23))\/(u**0\/u*u*u)**31 assuming u is positive.\nAnswer: u**(-5212\/161)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -3 (b) 20 (c) 4 (d) 293 (e) 0 (f) -1\/3 (g) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the first derivative of 53*c**4\/4 - 5*c**2\/2 - 4*c + 37. Find the second derivative of a(y) wrt y.\nAnswer: 318*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b - x + 0*x = 841, 3*b - 5*x - 635 = 0. Let w be (-2)\/(-5) + (-24)\/b. Solve 2\/7 + 4\/7*i + w*i**2 = 0 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 997658 at least as big as 997657?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3574 + 3574 + 21*m.\nAnswer: 21*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*b - 452*p + 457*p + 265, -4*b - 2*p + 362 = 0. What is the least common multiple of b and 846?\nAnswer: 4230","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 23, 1023, 8, 3, 2\/9 in decreasing order.\nAnswer: 1023, 23, 8, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - g + 58 = 3*g, -5*o + 4*g + 54 = 0. Let d(u) = -27*u + 1. Let y be d(-1). What is the greatest common factor of o and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 8 or 81?\nAnswer: 81","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, q: 4, g: 8}. What is prob of sequence qg?\nAnswer: 16\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1d9294 (base 16) to base 8.\nAnswer: 7311224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -6*n. Let u(q) = q**2 + 10*q + 10. Let j be u(-9). Let x(z) = -z. Let m(p) = j*i(p) - 12*x(p). Give m(1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l + 17 = -3*u, 2*l + 13*l = -7*l + 19*l + 15 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 235 and 228185.\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -58721*a**2*g - 10*a*g - 852179*g wrt a?\nAnswer: -117442*a*g - 10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12 + 12 = -107*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -514794 divided by -309.\nAnswer: 1666","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 148881996?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2828123922.\nAnswer: 2, 3, 13, 199, 182201","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-28)\/(-8) - 3)*-6. Let q(l) = -l**3 - 2*l**2 - 5*l - 4. Let i = 19 + 17. What is the remainder when i is divided by q(g)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 9, z: 5}. What is prob of sequence zx?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -3*p**2 - 1697518. Let l(m) = 3*m**2. What is z(l(q))?\nAnswer: -27*q**4 - 1697518","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -13 + 27078a2?\nAnswer: 270788b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 29\/5 of a centimeter?\nAnswer: 58","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*z**2 + 2*z**2 - 28*z**2)*(-4*z + 0 + 6*z - 2*z**2 - 45) as a*z**4 + l*z**2 + b*z**3 + h + i*z and give l.\nAnswer: 1305","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -26.79 - -27. Let y = -1.21 + j. Let n = 77 - 388\/5. Which is the second biggest value? (a) n (b) y (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4528?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 39 - 7 = 8*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4863196 or -170?\nAnswer: -4863196","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5.7 + 0.7. Sort 1, z, 4.\nAnswer: z, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q\/q**(-2))\/(q**(-24)\/q))**45 assuming q is positive.\nAnswer: q**1260","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 138667 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**2 - 17*t - 26. Calculate the remainder when n(26) is divided by 55.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -23 + 13. Let r = -17 - z. Let m(o) = -o**2 - 7*o + 3. What are the prime factors of m(r)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 80948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -w. Let q(d) = 574*d**2 + 20. Calculate q(k(h)).\nAnswer: 574*h**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -6*i**2 + i - 1. Suppose 5*j - 84 - 46 = 0. Suppose -8*m - 5*x - 20 = -3*m, 5*x = m - j. Calculate o(m).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.6*7\nAnswer: 4.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + 15 = 0, 0 = 3*o - l + 39 - 6. Let n be o\/(-171)*6\/(-4). Let w = 3.09 - 0.09. What is the closest to 0 in n, 0.3, w?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -2, -143893, 1 in descending order.\nAnswer: 5, 1, -2, -143893","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 145*x**2 - 144*x**2 + 4*x - 4*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor x**2\/2 - 423*x - 154836.\nAnswer: (x - 1122)*(x + 276)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of -1 + 10\/(1 + 1) and 9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 9:17 AM?\nAnswer: 5:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*2463186.\nAnswer: 1231593","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 185999033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 o when two letters picked without replacement from tmtotouotof?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + w - 4 - 5 = 0, 42 = 4*i + w. Suppose -v - 9 = q, -2*v + 4*q = -i - 1. What are the prime factors of (-4)\/3*6\/v + 28?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qkn when three letters picked without replacement from {k: 3, d: 7, q: 3, n: 1}.\nAnswer: 3\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the third derivative of -327*w**4\/4 - 1253*w**3\/3 + 4172*w**2. Find the first derivative of z(c) wrt c.\nAnswer: -1962","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 216*f**3 - 107*f**3 - 110*f**3.\nAnswer: -f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -0*c - 2*c. Suppose -3*r = -4*z + 31, 3*z + 0*z = c*r + 15. What is the remainder when 38 is divided by z?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -17 + 14 + -10 + 12 - (-1 + 11)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-2))**24*(w\/w**(-1\/3))**(-40)*w\/w**(-2\/7)*w**4*w*w*w**(-6\/11)*w\/w**7*w*w assuming w is positive.\nAnswer: w**(-22775\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 divided by 145?\nAnswer: -1\/145","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/11 and (606*((-34)\/8 + 4))\/3.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(612) + 0 + 4 - (2 + (sqrt(612) - 2*sqrt(612))) - (-2 + (sqrt(612) - (sqrt(612) + 2)) + sqrt(612) - (sqrt(612) + -1*(sqrt(612) + 1))))**2.\nAnswer: 60*sqrt(17) + 637","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37391536 and 61152.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -36*l. Let f(i) be the second derivative of i**3\/6 + i - 22. What is 4*c(m) + 132*f(m)?\nAnswer: -12*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 91*x - 50*x = 61*x - 120. Let i(b) = 20*b - 114. What is i(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8527?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11509 is divided by 215.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 154 and 31999?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*h + 5*i, 5*h + 3*i = 2*i + 20. Let u be h\/(-10) + 81\/15. Solve -2*j - u = 3 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 38\/14 + 6\/21. Suppose -82 + 28 = -s*n. Does 4 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -6557 + 262301\/40. What is the common denominator of u and 71\/2010?\nAnswer: 8040","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c**(-1))**(-6\/31)\/((c\/(c\/(c\/c**(-2))*c))\/c*c**(-6)*c*c))\/(((c\/(c\/c**0))\/c)**38\/(c**(-1\/2))**(-2\/169)) assuming c is positive.\nAnswer: c**(215844\/5239)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -0.6 * -2\nAnswer: 1.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 6 = x. Suppose 17 = 4*n - x*n. Suppose -4*g + 0*g - p + 201 = 0, -3*p = -3. What is the remainder when g is divided by n?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5 - -0.115384?\nAnswer: 2.615384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 38 - 34. Solve 0 = t*p - 11 + 3 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {j: 12, f: 1, q: 3}. Give prob of sequence jq.\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 216655255?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5676783 is divided by 18.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**2 - 2*s**2 + 9*s**2 - 7*s**2. Let j(l) = -406*l**2. Calculate w(j(v)).\nAnswer: -164836*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 7*o - 120. Let l be v(18). Let s(j) = -j**2 + 6*j - 8. Calculate s(l).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 3\/40 of a milligram?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 4*d - 15. Determine t(3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6094873 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -198 - 59*g - 15*g + 67*g - 269.\nAnswer: -7*g - 467","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-204)\/306 + ((-112)\/3)\/(-2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 766 + -656. Find the common denominator of ((-46)\/(-92))\/(x\/(-194)) and -3\/20.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 6*g**2 - 182*g + 365. Let a be x(2). Solve i = a - 19 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-13 - 6536\/(-504))*(-33)\/6 and 2\/3*228\/448.\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 254.009 - 258. Let p = -0.009 + x. Let a = -0.2 + 0.1. What is the second biggest value in 0.4, a, p?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.07 and 0.03819894.\nAnswer: 0.0026739258","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1)\/(-18))\/((-32)\/(-768)).\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 2368*c**4 + 119*c**2 - 416*c**5 + 19247*c - 96*c**5 + 2 - 2 - 19242*c + 936*c**3 = 0.\nAnswer: -1\/8, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 79512 is divided by 3573.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 - 7*c**2 - 7*c - 7. Let b be p(-6). Let g(j) = 76*j**2 + j - 1. What is the tens digit of g(b)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -182983656 divided by -246?\nAnswer: 743836","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 59236755 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10 - -1) + 14 + 21 + -40?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 0 - (132\/5)\/((-42)\/1820).\nAnswer: 2, 11, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - 4 = m, -7 = m - 3*k. Let c be 1*(-3)\/m*-2. Find the first derivative of 6*v**3 - 9*v**3 - 3 - v**c wrt v.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 5)*(-6 - 8 + 1)*(-2*y - 5*y + 4*y).\nAnswer: -78*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 573565520?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 222 and 33.\nAnswer: 2442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 353050818.\nAnswer: 2, 3, 19, 37, 83701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/36 and 24\/24 + ((-3)\/582)\/((-36)\/(-7064)).\nAnswer: 3492","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 186 - x**2 - 69 - 21 - 19*x**2 to the form s + w*x + p*x**2 and give s.\nAnswer: 96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 12332665 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + (-10 - 2 - (10 - (-13 - -17))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 2*h**3 - 16*h**2 - 6*h - 19. What is d(8)?\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 46 = 4*v, 2*v - 6*a - 48 + 8 = 0. Let o(d) = 7*d - 2. Let u be o(1). Solve -u*w = 3*r + v, -5 = 5*r + 10 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 146 = -4*b, 125 = b + 2*b + 4*i. What are the prime factors of b?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is a93b (base 16) in base 13?\nAnswer: 16947","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/7 (b) -0.411 (c) 3 (d) -0.4 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 52 and 2353676?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (324\/15)\/((-6)\/(-16)). Let g = 58 - k. Put g, -0.1, 4\/5 in increasing order.\nAnswer: -0.1, g, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 275\/(-55) - (-2 + 7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.0996? (a) -1\/6 (b) -1\/5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -792*j - 792*j - 814*j - 787*j + 3189*j.\nAnswer: 4*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -45, 1\/2, -16\/5, -28.7, 2\/25?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*l - 318 = -98, -2*d - 46*l + 110*l + 332 - 51 = 59*l for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let -1\/5*b**5 - 2\/5*b**4 + 1\/5*b + 0*b**3 + 2\/5*b**2 + 0 = 0. What is b?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, 2, -2.\nAnswer: -2, 2, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*l**4 + 860*l**3 + 92625*l**2.\nAnswer: -5*l**2*(l - 247)*(l + 75)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/c**(-4\/5)*(c*c*c**(-27)*c)\/c)\/((c*c\/(c\/c**(-1\/3))*c)\/c**(5\/8)))**(-1\/14) assuming c is positive.\nAnswer: c**(2909\/1680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -3\/4, 4, -0.2, 0.8, 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5ab36 - 2?\nAnswer: -5ab38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2 + -2. Is (-14)\/(-56) - 843\/n a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (8\/(-140))\/(1\/(-5)). Factor 0*b + n*b**3 + 0*b**2 + 0 + 2\/7*b**4.\nAnswer: 2*b**3*(b + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27.01 - -23.4. What is i rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*l**3 - 3*l**4 - 69*l**3 + 0*l - 112*l**3 + 11*l**3 + l to the form m*l + v + i*l**3 + w*l**4 + j*l**2 and give m.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 61 - 32. Let m be o\/(-1) - (-2 + 1). Let q = m + 54. Is q a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -21. What is the remainder when 29 is divided by n?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 538 minutes before 5:35 AM?\nAnswer: 8:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10910 + -10910.06. Let r = -487 + 488.97. Let h = r - -0.03. What is the third smallest value in -2, -0.2, n, h?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -2*y + 10. Let z = -8 + y. Is z != 0.4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -o + 9 - 30, 3*o - 4*q = -13. Which is the third smallest value? (a) 4 (b) o (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1457 divide 3965222635?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-104)\/78)\/(26\/(-78))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -562\/7 + 80. Let v(m) = -2*m + 7. Let p be v(3). Let n = 3.7 + -4. Which is the biggest value? (a) n (b) z (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 4 = -0. Let f(x) = 2*x**2 + 3*x - 3. Let m be f(1). Suppose -m*c = -p - 81, 0 = 5*p - z - 11. What is the units digit of c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4286, 2, -55, -6 in ascending order.\nAnswer: -4286, -55, -6, 2","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6*(10\/(-35))\/((-6)\/28).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*l**2 - 7000*l + 2450000.\nAnswer: 5*(l - 700)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1548 and 495231?\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1549*a + 21364 = 1985*a for a.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l - 1 - 5*l + 4*l)*(6*l**2 - 2 + 2)*(4*l + l - 3*l).\nAnswer: 24*l**4 - 12*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(-6)*(-126)\/147?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7 - 3 - 68\/4. Let l = i - 11. Let y = l - -44. Is y a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00002266 to 5 dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11 and 6?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2487338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3514 is divided by 112.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) -0.3 (b) 4\/3 (c) 26 (d) 4 (e) -1\/6 (f) -2\/9 (g) -369\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 52710262?\nAnswer: 2, 11, 19801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 3 d when four letters picked without replacement from {u: 4, d: 6}?\nAnswer: 8\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 + 196\/3*y**2 + 0*y + 15*y**4 + 64*y**3 - 1\/3*y**5 = 0 for y.\nAnswer: -2, 0, 49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -4*v**2 + 37*v + 11. What is l(8)?\nAnswer: 51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w + 2*w + 0*w + (5 + 9 - 20)*(-w + 1 - 1) + 2*w + 3*w - 8*w.\nAnswer: 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -590424.197 - -590119. Let a = 711 + -406. Let v = a + q. Round v to two decimal places.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 8130 = -4*v. Suppose -5*h + 2*h + v = 5*a, 0 = -3*h - 4*a + 1360. What are the prime factors of h?\nAnswer: 2, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 2*b - 3. Let d(t) = 2 - t**2 - b - 1. Let v(y) be the first derivative of -2*y**3\/3 + 1. Determine d(v(o)).\nAnswer: -4*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 + -23\/3. Sort 0.4, -1, o.\nAnswer: -1, o, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*l - 3*l + 0*l)*(3*l**3 - 4*l**3 + 3*l**3) + l**4 - l**4 + l**4 - 6*l**4 - 160*l**2 + 337*l**2 - 174*l**2 + 64*l**3.\nAnswer: -l**4 + 64*l**3 + 3*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, e: 5, t: 1}. Give prob of sequence vvet.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 207800 take away -0.1?\nAnswer: 207800.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 793 - -318. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*m**4 + 3 + 2*m**2 - 6354*m**3 + 3608*m**3 - 1 + m + 3505*m**3 to h*m**3 + n*m**4 + d + q*m + y*m**2 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 132 - 3032253?\nAnswer: -3032121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*n + 26924 - 164306 = -23*n. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -81009.67 rounded to the nearest one thousand?\nAnswer: -81000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4\/1 - (-8)\/(-4). Find the second derivative of 3*f**l - 15*f + 16*f + 1 - 4*f - 20*f**3 wrt f.\nAnswer: -120*f + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 419*c**2*h - 4*c**2 + 708*c + 170812*h**4 + 33 wrt h.\nAnswer: 419*c**2 + 683248*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.4823 - 0.0333. Let p = 0.4616 - u. What is p rounded to three decimal places?\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -81749 divided by -424.\nAnswer: 81749\/424","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 8 and 1622?\nAnswer: 6488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p**(9\/2))**(20\/3))**(-20) assuming p is positive.\nAnswer: p**(-2200\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(2\/31)*n*n)\/n**(-1\/9)*(n\/(n**14\/n))\/(n**5*n) assuming n is positive.\nAnswer: n**(-4415\/279)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 1532 (base 10) in base 5?\nAnswer: 22112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 4*d + 160, -121 = -3*v - 14*d + 18*d. Let c(q) = -4*q - 3. Let t be c(-3). Is 9*v\/t - 1 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1003 * -6.5.\nAnswer: 0.65195","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-10)\/((-200)\/140)*10\/(-14). Let d(c) = 2*c**3 - 5*c**2 - 5*c - 23. Let x(s) = -s**3 + 2*s**2 + 2*s + 12. Give w*x(l) - 2*d(l).\nAnswer: l**3 - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = 3*p + 44, p + 3*p = h + 22. Let g = h + 26. Let k = -32 - -31.6. What is the second smallest value in k, g, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12299.915003444 minus 25?\nAnswer: 12274.915003444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 2*r**2 + 1. Let s(p) = p**2 + 16*p + 58. Let y be s(-6). Let l(o) = 2*o**2 + 2. Determine y*l(a) + 3*v(a).\nAnswer: 2*a**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-6)\/(-41)*408\/(-153)*(-7)\/56?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19619, 19622, 19625, 19628, 19631, 19634?\nAnswer: 19637","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence enne when four letters picked without replacement from {n: 5, e: 7}?\nAnswer: 7\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2 - -4) + -3)*-3. Let d(y) be the first derivative of 5*y**2\/2 - 4*y - 1. What are the prime factors of d(s)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 640, -182, -1, -4 in descending order.\nAnswer: 640, -1, -4, -182","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 + 210*a**2 - 5943*a - 1406. Calculate r(34).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 71*b + 5*b + 5662 = -222*b for b.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 31496905 to the nearest integer?\nAnswer: 5612","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + i - 2*i)*((-2 + i**2 + 2)*(-4*i + 7*i - 2*i) - 2*i**3 - 4*i**2 + 4*i**2 - 10*i**3 + 19*i**3 + 22*i**3).\nAnswer: 90*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19 - 20 = l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 9530 + t - 5387 - 5758 + t**2 to h*t**2 + c + w*t and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Divide 171 by 171.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2283833 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1053774.\nAnswer: 2, 3, 58543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/20 of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 70\/121 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 1, f: 2, n: 2, y: 12, v: 1}. Give prob of sequence yn.\nAnswer: 4\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -7 + 6. Which is the second biggest value? (a) 3 (b) i (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = -5*m + 31, 3*d = 3*m + 4*d - 18. Suppose -8 = m*y + 2. Let j = -4.2 + 4. Is j equal to y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 82882909 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15688 and 44520.\nAnswer: 1647240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 164 + -162. Suppose -4*t + 0*f + 35 = -f, 5*t + j*f - 34 = 0. What is the remainder when 597 is divided by t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.07 (b) -19.9 (c) -1\/2 (d) -0.16 (e) 0.2 (f) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -649*k - 567*k + 1386*k - 2210 = 0 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3067?\nAnswer: 3067","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 21 and 1113?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4}. What is prob of sequence mmmm?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((1 - 3) + 4\/1)*4. Solve -n + 3*z + 0 - m = 0, -4*n - 23 = -3*z for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7861?\nAnswer: 7, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 3*v - 6 = 5, -4*v = -2*u + 16. Suppose 5*m - u*d = 45, 3*m - 19 = -d + 8. Suppose 3 = k - m. Solve -3*j - k = j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*t + 5*j = -30*t + 415, 2*j - 334 = -4*t. Calculate the remainder when 373 is divided by t.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 517 - 5684\/11. Put -1\/2, -5\/6, n, -0.3 in ascending order.\nAnswer: -5\/6, -1\/2, -0.3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2. Let f = 42 + -34. Let m(w) = -2 + f + 8*w - 6. Determine s(m(z)).\nAnswer: 64*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - 5*x = -9*d - 215, 5*d = -x - 227. Let v be ((-4)\/(-42))\/(d\/(-162)). Does v = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (5\/105)\/((-3)\/6).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = m**2 - m + 1. Let v be c(1). Let d be (3\/(-225))\/(315\/(-225)). Is v smaller than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 0.5236?\nAnswer: 1.5708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vavvvva. Give prob of sequence aavv.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 12330?\nAnswer: 12330","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jzz when three letters picked without replacement from {u: 5, k: 1, j: 1, z: 4, e: 1}?\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of 13 + 0*r**2 + 0*r + 15\/28*r**4 + 4\/7*r**3 + 3\/35*r**5. Factor w(n).\nAnswer: 3*n**2*(n + 1)*(n + 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -34242, -34557, -34870, -35181, -35490, -35797, -36102?\nAnswer: -36405","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246127 + 567869.\nAnswer: 813996","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) = -806*j**2. Let l(n) = 1034*n**2 - 1444*n**2 + 418*n**2. What is q(l(m))?\nAnswer: -51584*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is j in -2*j**5\/3 - 1042*j**4\/3 + 27262*j**3 + 1766050*j**2\/3 + 3282584*j\/3 + 533120 = 0?\nAnswer: -588, -16, -1, 85","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) be the first derivative of -12*h**5\/5 + 2*h**3\/3 - 1. What is the third derivative of w(m) wrt m?\nAnswer: -288*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 79 is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 4*w - 11 = -3*w, -4*z - 4*w + 52 = 0. Solve 2*a + 3*a = m, -m - 3*a = z for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*f**5 + 16527*f**3 - 8837*f - 1?\nAnswer: -100*f**3 + 99162*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 217 + -237. What is the second smallest value in 0.3, t, 2\/9, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 m when two letters picked without replacement from mkkkkkmk.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nkknrknnnwl. Give prob of sequence kkr.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = g - 743, i + 3*i + g - 1481 = 0. Suppose -6*z + 327 = -i. Does 29 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(304) + sqrt(19) + (sqrt(76)*-5 - sqrt(19)) + 0 + -3 + (sqrt(209) + -5*(sqrt(209) + sqrt(209)*3))\/(sqrt(11) - (sqrt(11) - sqrt(275)*3)))**2.\nAnswer: 872*sqrt(19)\/15 + 229339\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (12\/(-135))\/(108\/90)?\nAnswer: -2\/27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 1, w: 2, l: 1, g: 1}. Give prob of picking 1 g and 1 l.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 2 = 70. Calculate the common denominator of -61\/12 and (-115)\/(-3)*6\/t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*k - 72 = -12. Suppose 8*z - k*z - 40592 = 0. Suppose -4*x + 4524 = 4*i - z, 2*i = -5*x + 12398. Is i a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22? (a) 3 (b) 1.43 (c) -0.1 (d) -2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 146 = 25*b + 21. Sort -201, 0, b, 4 in descending order.\nAnswer: b, 4, 0, -201","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 3 = -3*q - 3, -4*h = 8. Let b be (0 - (-4 - q)) + -2. List the prime factors of 0 + (1 - b) - -52.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-55 - -8)*(-1 - 1). Suppose -2*h - 54 = -3*q - 0*h, a = 5*q - 2*h. Calculate the remainder when 55 is divided by q.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -328, -279, -158, 71, 444, 997?\n\"Answer: 6*l**3 + 7*l - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/3 - -3 - (-64)\/(-12)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 6*v + 88. Let g be u(-14). List the prime factors of (2 + g\/(-3))\/((-2)\/(-672)).\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -41420753\/3649279452 + -2\/3030963. What is the common denominator of 29\/4214 and p?\nAnswer: 25284","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + (4 - 7) + -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -20*k - 13 + 14 - 4*k. Is f(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-70)\/(-25))\/(-7) - (-132)\/(-20). Suppose -2 = 5*g + f - 0*f, 2*f = -4. Let l = g + 5. Which is the second biggest value? (a) o (b) 0.3 (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -194*l*x**4 + 97*l*x - l + 2*x**5 wrt x?\nAnswer: -2328*l*x**2 + 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -29, 5, -1, 2, -760 in ascending order.\nAnswer: -760, -29, -5, -1, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -16*d - 2. Let q be s(2). Let m be 4\/10 + q\/85. Let w be (16\/12)\/((-1)\/(-3)). Solve w*i - 8 + m = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -5*s - 8. Let v(h) = 8*h + 15. Calculate 11*m(x) + 6*v(x).\nAnswer: -7*x + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -19*v + 18*v + 19. Let c = 26 - v. Round c to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (9\/(-15))\/((-1)\/10). What is the tens digit of (-12)\/(-8)*176\/p?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -124*j. Let v(s) = 31*s - 3*s + 2*s + 3*s - 26*s. Calculate r(v(h)).\nAnswer: -868*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g - 1. Let a(v) = 5*v - 8. Let q be (-4 - 1) + 1 + -2. Let m = q + 0. Calculate m*d(o) + a(o).\nAnswer: -o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o**2)**(-8)\/(o**1)**(-1\/30) assuming o is positive.\nAnswer: o**(-719\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 1:13 AM?\nAnswer: 11:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 35\/8 and 53\/118.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 3, c: 2, z: 9, u: 2}. Give prob of sequence czzz.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 - 4*v**2 + v + 2. Let y be q(-4). Let l be -5*3\/((-15)\/y). Sort l, -5, -4 in increasing order.\nAnswer: -5, -4, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 192c0b (base 14) to base 13\nAnswer: 252989","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-12) - (-22594)\/3. What is c rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 566045 = 100*u - 2666826 - 1154729. List the prime factors of u.\nAnswer: 2, 7, 1567","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -6 + 14 - (-91)\/9. Is 17 <= k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 2\/6 - (-1)\/(-3). Suppose c - 3 + 0 = w. Suppose -r = -4*x + 2, 10 = c*r + 2*x + 2*x. Solve 0 = n + y + r*y + 2, -n = 2*y for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 23 = -2*z, 0*z - 2*z + 18 = 2*o. Suppose y = 4*j - j - z, 0 = -j + 2*y + 10. Suppose 27*h - 57 = 8*h. Solve h = -j*x - 7 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 - 57*t**2 + 44*t + 670. Let x be g(56). Sort 5, -305, 4, x in increasing order.\nAnswer: -305, x, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25 - -40. Let k be -1 + 3 - (1 - (3 - 2)). Solve -l - y = k*l for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 1155 + -1010. Calculate the remainder when 406 is divided by f.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rkrdajdraakeekjr. Give prob of sequence jjk.\nAnswer: 1\/560","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -673 - 5 = -r. What is the tens digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3346561006.023 - 3343733946. Let q = l + -2827187.0230053. Let c = 127 + q. What is c rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 305, 1321, 3005, 5357?\nAnswer: 8377","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1783?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 103*p = 109*p - 1980. What is p rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 185 and 386908815.\nAnswer: 185","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -39*(2 - 21\/9). Suppose -17 = -5*r - 2*i, 0 = 2*r - 2*i - 5 - h. Suppose -3 = r*b - 23. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 114*p**3 - 42 - 145*p**3 in the form n*p + k + g*p**2 + o*p**3 and give k.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Work out -30360 * -3.\nAnswer: 91080","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2041*p**2 + 893*p**2 + 11740*p**2 to the form g*p**2 + l*p + n and give g.\nAnswer: 10592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 22 a factor of 12849498?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -123353 minus 0.16?\nAnswer: -123353.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 - -20 - (3 - 10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105*n + 43*n = -102*n + 64*n. Solve -29*r + 0 + 145 = n for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63 - 4 + 50)*(2 - 2 + 3*h**4).\nAnswer: 327*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/(18\/30*(-45)\/27))\/(2\/(-32))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is -1.18271911 rounded to 4 dps?\nAnswer: -1.1827","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pspssms. What is prob of sequence spp?\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the first derivative of k**5\/20 - 17*k**3\/6 - 17*k**2\/2 - 46. Let x(c) be the second derivative of a(c). Differentiate x(d) with respect to d.\nAnswer: 6*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3 - 1158*d - 3 + 1095*d.\nAnswer: -63*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1\/(-4) + (-46890)\/(-40). Suppose 4*s + 2*t - a = 0, 0*s + 4*s + 4*t - 1168 = 0. Does 39 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 639 - 2*z**2 + 981 - 27 + 801*z wrt z?\nAnswer: -4*z + 801","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 161831?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the third derivative of n**6\/120 + 12*n**3 + 7*n**2. What is the remainder when m(0) is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 599 minutes before 1:15 PM?\nAnswer: 3:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 515*d**2 + 27 - 521*d**2 + d**3 - 2*d + 13. Let c be v(5). Solve -15 - 7 = -2*g + c*a, 5*g - 1 = -a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*u - 215 = 9*u. Let o = 1937\/9 - u. Find x, given that -4\/9*x - o*x**4 + 2\/9 + 0*x**2 + 4\/9*x**3 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 360 is divided by 27?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -45897360 divided by 31?\nAnswer: -1480560","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 220226*n - 220226*n + 449*n**2.\nAnswer: 449*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(1\/26))**(28\/5) assuming x is positive.\nAnswer: x**(28\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (m + 0*m + 2*m)*(-101 - 72 + 1 + 0 - 1 - 1 + (-2 + 1 + 0)*(-1 - 3 + 6) + 0 - 5 + 3 + 0 + 3 - 4) to l*m + r and give l.\nAnswer: -537","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y - 1 = 2*t, -173*t - 4*y - 22 = -171*t for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -44*w**2 + 260*w + 17. What is q(6)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of b**2*f*m**2 - 3*b**2*f - 43*b**2 - 36*b*f*m - 3*f*m**2 + 2*f*m wrt b.\nAnswer: 2*f*m**2 - 6*f - 86","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4309?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ee when two letters picked without replacement from zwezzzzeeeeeezwzzz?\nAnswer: 7\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Add together -81658825104 and -2.\nAnswer: -81658825106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = l**2 + l - 3. Let m be ((-55)\/3)\/((-1)\/3). Suppose -3*z + 6*z = -5*x - 5, -m = 4*z - 3*x. Let j = 7 + z. Determine i(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159377120 divided by 1840?\nAnswer: -86618","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = -89*x + 17. Let t be s(-3). Suppose 279*j - 278*j = t. What is the units digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the first derivative of -v**2 - 8*v - 2. Let j be p(-6). Sort 3, -3, j, -9 in decreasing order.\nAnswer: j, 3, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 16.47 - 0.17. What is a rounded to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 3 + -2.6. Suppose -s + 5*s - 8 = 0. Which is the nearest to 2\/3? (a) 0.5 (b) s (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 463881 is divided by 4069?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-115)\/(-20))\/(20\/(-32))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y = 35, -4*y = -4*b + 1227385007 - 70704979. Round b to the nearest 1000000.\nAnswer: 289000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.883761 to 2 decimal places.\nAnswer: 1.88","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*l + 76*l - 8 = -2*j, -3*l + 3*l - 2*l + 8 = 2*j - 4*l for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.4 and -0.5.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-1\/5))\/l**(-4))\/((l*l*l**(-5))\/l**4) assuming l is positive.\nAnswer: l**(61\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 426 a factor of 1508466?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/8*(-6)\/(-2). Let r = -114 - -113. Let c = 44.92 - 45. What is the closest to c in s, r, 4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -49*d + 65*d + 224 for d.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*v**4\/4 + 12*v**3 + 45*v**2\/4.\nAnswer: 3*v**2*(v + 1)*(v + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4984.\nAnswer: 2, 7, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 39 = -2*f - 3*t + 2*t, 0 = 5*f - 2*t + 120. Let z = f - -24. Suppose 0 = -3*o - z*o + 50. What is the highest common factor of o and 40?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r + 7. Let i be t(-5). Suppose -3*n = -3*y - i*y - 338, -3*y + 4*n = 205. Let k = 19 - y. What is the tens digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 1, l: 1, y: 1, j: 2}. What is prob of picking 1 r, 1 j, and 1 y?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 37 - 36.7. Which is the third smallest value? (a) 2 (b) -13 (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.4604 less than 558?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 541772, -2, 2?\nAnswer: 541772","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1002663, 4010643, 9023943, 16042563, 25066503, 36095763?\nAnswer: 49130343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 510207?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 11375 and 2226?\nAnswer: 3617250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(48)\/sqrt(2))\/sqrt(8) - sqrt(15)\/(sqrt(5)*-2).\nAnswer: 3*sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 6*x = -25. Calculate the smallest common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 0*g + 41 = 0. What are the prime factors of g?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -17029, -14943, -9319, 1613, 19623, 46481, 83957, 133821?\n\"Answer: 295*o**3 - o**2 + 24*o - 17347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from jsbhjsio. What is prob of picking 1 h, 1 j, and 1 b?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 45 and 0.07?\nAnswer: 3.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1778, 1781, 1784?\nAnswer: 1787","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2 - (-4 + 48\/40). Which is the second smallest value? (a) -4 (b) 3 (c) -0.3 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 3 - 6 = 0. Suppose 4*x + 642 = l*j + 5*x, j + 2*x = 219. Let v = 81097 - 81070. What is the remainder when j is divided by v?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -709\/7 - -101. Let m = 4 + -2. Let x = -4 + 3. Put m, n, x in decreasing order.\nAnswer: m, n, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -4\/5, 18, 5\/8, -5, 6.2 in descending order.\nAnswer: 18, 6.2, 3, 5\/8, -4\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2 + 0*w - 2*w**3 - 3*w - 5*w**2. Let s(n) be the first derivative of n**4\/4 + n**3\/3 + n**2\/2 - 2. What is -2*k(p) - 6*s(p)?\nAnswer: -2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -2, 7, 1\/8, -14?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -44 - -44 - (-8 + 2) - 0?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*w - 6*w - 9 + 3*w + 9.\nAnswer: -6*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -24389160.81 rounded to the nearest 1000?\nAnswer: -24389000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l + 3*q = 159 + 576, -q = 4*l - 995. List the prime factors of l.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) be the second derivative of 7\/6*t**3 - 26*t**2 + 16*t + 0. Let h be m(8). Sort -7, -2, h in descending order.\nAnswer: h, -2, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21937?\nAnswer: 21937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hh when two letters picked without replacement from {h: 4, z: 3, a: 1}.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2\/725 or -427?\nAnswer: 2\/725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 43.2 in -3, -0.054, -0.2, -1?\nAnswer: -0.054","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 99, -23, -1 in decreasing order.\nAnswer: 99, -1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.012 + -0.088. Put -5, -2\/13, x in ascending order.\nAnswer: -5, x, -2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*a + 427 = 19*a. Let u = a - 48. Suppose 5 = -3*j + 29. What is the remainder when u is divided by j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in k**3\/11 + 34*k**2\/11 + 203*k\/11 - 50 = 0?\nAnswer: -25, -11, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -32 (base 13) to base 4.\nAnswer: -221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1632 and 115776?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 2*j = -2*j - 48, 0 = -2*x - 2*j + 66. Solve -n - 4*n - x = 3*p, 3*n + p + 14 = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 13964661 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 505010?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 15 = -5*z. Suppose z*s = -3045 + 14260. Suppose -6*r + 751 = -s. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -196550556 divided by 6\nAnswer: -32758426","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 7875 and 110565.\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-36)\/((-648)\/(-63)))\/((40\/(-5))\/16)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-y**2 - 3*y**2 + 3*y**2)*(-y**2 + 2*y**2 + 0*y**2) + (-3*y**3 - 2*y**2 + 2*y**2)*(-109*y - 16*y - 65*y).\nAnswer: 569*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-2)\/16 + 3*59121\/216.\nAnswer: 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46807 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 105 and 12138?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 0.2355*-13858\nAnswer: -3263.559","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1.24 - 1.35. Let b = -43\/125 + 4\/375. What is the closest to -0.1 in 2, n, b, -1?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 145 + -100. What is the tens digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1740 and 58.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - b + 22 = 23, -3*b + 41 = -8*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Work out -184366461 - 16331.\nAnswer: -184382792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2050 - 2042. Solve 50 = b*u + 58 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -2.425 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -2 + 5. Suppose -w*y + 2*y = 5*r - 15, 0 = 2*r - 3*y - 6. Let q(a) be the first derivative of -a**4\/4 + a**3 - 2*a**2 + 4*a - 1. Determine q(r).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 157988023 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11307\/13105 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*z**3 + 4576*z**2 - 391364*z + 386784.\nAnswer: 4*(z - 79)*(z - 1)*(z + 1224)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + -4*(3 + (5 + sqrt(17) + -1)*-4) + -4 + -2.\nAnswer: 47 + 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g\/g**(-21)))\/(g\/((g**(-5\/6)*g)\/g)*g)*g\/(g*g*g**5\/g)*((g*g\/g**17*g)\/g)\/g assuming g is positive.\nAnswer: g**(-269\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j\/(j\/(j*((j*j\/(j*(j\/(j\/j**(-7)))\/j)*j)\/j)\/j*j*j)))**(-14)*(j**(3\/2))**(-14\/5) assuming j is positive.\nAnswer: j**(-791\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (w**2 - w + w)*(1 - 5 + 2) + 0*w**2 + 2*w**2 - w**2 - 1 - w**2 + 1 + 7*w**2 - 4*w**2 - 7*w**2 + (50*w - 92*w - 69*w)*(0*w - 2*w + w).\nAnswer: 105*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = d**2 - 8757*d - 805166. What is z(-91)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 372 divided by 93\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: -303 (base 5) to base 3\nAnswer: -2220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/8 + 2397*f**2\/2 - 22972845*f\/8 - 22992025\/4.\nAnswer: -(f - 4795)**2*(f + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 9909061\/16 + -619684. Let k = -368 - p. Calculate the common denominator of -59\/4 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most -3\/389?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 1, y: 2, e: 1, g: 1}. Give prob of sequence yyk.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4433 and 143.\nAnswer: 143","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1255?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*n**2 + 26510*n - 35139005.\nAnswer: -5*(n - 2651)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 151, 376, 699, 1126, 1663, 2316?\n\"Answer: d**3 + 40*d**2 + 6*d - 29","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1169 is divided by 62?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1092880\/(-40983)*(-15)\/(-4).\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 324*o - 853*o + 404*o - 1137.\nAnswer: -125*o - 1137","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 3194 = -m, 20*m - 16*m + 4*u - 12788 = 0. What are the prime factors of m?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) be the first derivative of b**5\/15 + b**3\/3 - 5*b**2\/2 + 6. Let k(o) be the second derivative of m(o). Find the first derivative of k(z) wrt z.\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 6*b + 3. Let o(r) = -r + 1. Let y(l) = m(l) + 5*o(l). Let s = 9 - 13. Let c be y(s). Solve -c*g = g + 15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*u + 14 = 5*z - 2*u, 0 = -2*z + u + 5. Solve -4*f + 12 = -2*k, 12*f - 8*f + 2*k = -z for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -7\/43 - 3634\/129. Let r = o + 29. Factor 0 + 4\/3*z + r*z**2.\nAnswer: 2*z*(z + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5506\/825 - 2\/275. What is the common denominator of 71\/130 and s?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes after 1:06 AM?\nAnswer: 3:41 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g. Let t(u) = u**2 - 780*u - 4. Determine t(w(p)).\nAnswer: p**2 + 780*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 3*l = -129, 0*p = -4*p - 3*l + 87. Let v = 424 - 418. What is the highest common factor of p and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 196*v - 203*v + 7 = 0. Find the second derivative of 89*n**2 + 80*n**2 + 18*n**2 + 27*n**2 - 19*n - v - 42*n**2 wrt n.\nAnswer: 344","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 7*p**2 + 364*p + 11. Let b be d(-52). Let w(l) be the first derivative of -4*l - b - 2*l**2 + 4\/3*l**3 + l**4. Factor w(z).\nAnswer: 4*(z - 1)*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27996 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/4 + (-7)\/14.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4, 17, 42, 79, 128, 189, 262?\nAnswer: 347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1 and -22.023?\nAnswer: -22.023","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (13\/3 + -3)*3. Suppose 4*l = -20, 2*y + 25 = -2*y - 5*l. Solve 2*u + c + 4 = y for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -3*t**3 + 5*t**2 - 8*t + 2. Suppose 23 = 5*n + 8. Let x(g) = -g**3 + 2*g**2 - 3*g + 1. Determine n*c(j) - 8*x(j).\nAnswer: -j**3 - j**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the second derivative of a**3\/6 - a. Let m(s) = -51*s**2 + 150*s**2 - 62*s**2 - 51*s**2. Give m(l(i)).\nAnswer: -14*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 67507 + 2?\nAnswer: 67511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.9 + 0.5. Let n = 97766\/83 - 1178. Let v = n - -206\/415. Which is the second smallest value? (a) -2 (b) v (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*t - 4*t + 42 = 0. Let i = 5\/809 - 71297\/16989. Find the common denominator of i and 1786\/(-285)*3\/t.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**3 + 18*f**2 - 882*f + 12553. Calculate t(15).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -13230 - -13229.8. Let w = -11 - -7. Let u = w - -4.5. Put x, u, 0.1 in increasing order.\nAnswer: x, 0.1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - -5.95. Let p = -63.55 - -63. Let m = p + 2.55. What is the second smallest value in m, w, -0.2?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 135 - 25. Let l = -110.035 + a. What is l rounded to 3 decimal places?\nAnswer: -0.035","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 15891779\/193 + -82341. Find the common denominator of n and -46.\nAnswer: 193","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from yccccacccacaccyccc. Give prob of picking 1 c and 1 y.\nAnswer: 26\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -1, -0.9, 4, 0?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -35*s**2 + 3*s**3 - 9 - 12*s**2 - s + 46*s**2. What is q(3)?\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2 + 31546422.\nAnswer: 31546424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-1)\/6 - (-338527)\/42) + -5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -88040 + 88044. Let h be 1\/(2\/4) - -7. Put w, h, 8 in descending order.\nAnswer: h, 8, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 68\/19 >= -14?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118855 is divided by 200.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*q + 5 + 7. Let w(l) = 2*l + 3. Determine w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*r - 22 = 48 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -464, 0, 33, 1, 5, -3 in decreasing order.\nAnswer: 33, 5, 1, 0, -3, -464","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -20121 (base 14) to base 9.\nAnswer: -126628","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -30, 3, 1, -4, 4, -5 in descending order.\nAnswer: 4, 3, 1, -4, -5, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t**5 + 52062*t**4 - 226131105*t**3 + 2256679662*t**2 - 2478076032*t - 15792752640 = 0. Calculate t.\nAnswer: -2, 5, 7, 8672","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 11\/532 and -27\/98.\nAnswer: 3724","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -126*s + 2016 = -114*s. Calculate the remainder when 691 is divided by s.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k**2 - 1. Let r be n(2). Let t be (-2 - (-30)\/9)*r. Suppose 1 + 3 = t*a. What is the highest common factor of 5 and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -11\/2 (b) -926 (c) 13 (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 49178968 a multiple of 472?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1516 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 16*m**3 + 11*m**2 + 11*m + 16. Let s(v) = -3*v**3 - 2*v**2 - 2*v - 3. What is -4*i(x) - 22*s(x)?\nAnswer: 2*x**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -1422, -2843, -4264, -5685, -7106?\n\"Answer: -1421*v - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -462*o = -129*o + 348*o + 10896 for o.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.9 - -3.935. Let a = m - 0.435. Let f be (-2)\/6*840\/200. Sort 0.5, f, a, -5\/3 in decreasing order.\nAnswer: 0.5, a, f, -5\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 3*y - 7. Suppose j - y = -j. Suppose 0 = j*l - 3*l + 15. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 183.2 + -188.2. What is the nearest to 2\/21 in -13, n, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 120333.\nAnswer: 3, 40111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3 + 3 + b + 79*b + 241*b + 8*b + (-3 - b + 3)*(-2 + 1 - 1).\nAnswer: 331*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1624540, -3249071, -4873594, -6498109?\nAnswer: -8122616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1408.973 micrograms to milligrams.\nAnswer: 1.408973","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 12*d**3 - 3*d**2 + 8*d + 6. Determine j(3).\nAnswer: 327","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*p - 5*p - 2*p + 0 + 0 + p + (-3 - 1 + 5)*(-2*p + 5*p - p).\nAnswer: -6*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.225246876 to three decimal places.\nAnswer: -0.225","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from damaaddaaadm. What is prob of sequence ada?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 divided by -18?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 6890?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 836 a factor of 50775296?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 4, i: 2}. What is prob of picking 1 w and 2 i?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 24599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 9b - 35d?\nAnswer: -2c2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -5*s - 77. Let z be k(23). Calculate the common denominator of 93\/4 and z\/(-45) + 1\/6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r**2 + 3*r**2 - 3*r**2)*(-7*r - 21 - 5*r + 10*r - 3 + r + 6 - 1 + 4 - 2*r - 4 + (2 + 5 - 5)*(3*r - 6*r + 2*r)).\nAnswer: -5*r**3 - 19*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -44 - -3253?\nAnswer: 3205","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or -3\/190356496?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 43 or 2751\/5?\nAnswer: 2751\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -1.29 (b) 120 (c) 0.3 (d) 0.015\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 26964681 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 8\/22*(1 - 4)\/(-6)\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -551*g + 382. Does 29 divide j(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (((-4)\/6)\/(-1))\/(6\/18). Suppose 11 = x*q - 3. Solve 3*u = g + q, -3*g = -1 - 5 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 4, r: 1, l: 3, w: 2, b: 3, k: 2}. Give prob of sequence lk.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 12530 - 12533. Which is the fourth biggest value? (a) n (b) -2.2 (c) -8 (d) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 194\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-2)\/(-1))\/((-36)\/27). What is the third smallest value in -15, h, -5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2 - 32*j - 3*j**3 + 0 + 56827*j**2 - 56829*j**2 - j**4 in the form w*j + o + t*j**2 + k*j**3 + q*j**4 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pajuq. What is prob of sequence jq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4906.513ng to grams.\nAnswer: 0.000004906513","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 3. Let j be h(-1). Suppose 5*t = -l - 0*l + 62, 2*t - j*l = 16. Calculate the highest common divisor of t and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 67 and 134?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 13 - 17. What is the nearest to -1\/2 in -0.1, -5, m?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.29686 and -2?\nAnswer: -0.59372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h + 11. Let x be ((-2)\/(-4))\/((-1)\/(-12)). Let i be y(x). Solve 3*o + i = -0*o - 5*j, 3*j + 19 = -5*o for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvpvvvpvvpvvvppvvp. Give prob of sequence pp.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 16325, 16251, 16177, 16103, 16029?\n\"Answer: -74*l + 16399","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -1.9 (b) -4 (c) -31 (d) 30\/19 (e) 2\/3 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -23 + -237?\nAnswer: -262","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**2\/7 - 5400*g\/7 + 3645000\/7.\nAnswer: 2*(g - 1350)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 16 + 31*v - 1)*(-2*v**3 + 2*v**3 + 2*v**4).\nAnswer: 62*v**5 - 16*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkf when three letters picked without replacement from fktkktfkkkkf.\nAnswer: 21\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0005050610467 rounded to 6 dps?\nAnswer: 0.000505","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -33, -36, -39?\n\"Answer: -3*z - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) -0.09 (b) 1.12 (c) 3\/5 (d) -1 (e) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5980941 and 81?\nAnswer: 53828469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 4*d + 52. Let v be n(21). Suppose 12136 = -2*l + v. Round l to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -6 - 427607004987\nAnswer: -427607004993","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.153 - 2.847. Let k = -9.17 - -0.17. Which is the nearest to 0.1? (a) 3\/2 (b) f (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*v = -1 + 10. Let p(g) = 6*g**2 + g + 1. Let h be p(v). Solve -2*r = -h*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d - 4. Let j = 0 - 5. Let y(l) = -3*l - 9. Let u(s) = j*r(s) + 2*y(s). What is the units digit of u(-7)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1596*d**2 - 286*d - 1035*d**2 + 284*d + 8*d**2 as s*d**2 + l + t*d and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = -7*w. Let c(d) = 370*d. Determine o(c(b)).\nAnswer: -2590*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(147)*1 - sqrt(147))*-2 + sqrt(147))**2.\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -7*s**2 + 1. Let x(t) = -9*t**2 + 1. Let l(n) = i(n) - x(n). Let w(a) = 91*a. Let r(b) = 18*b. Let z(f) = -11*r(f) + 2*w(f). Give z(l(m)).\nAnswer: -32*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + 4\/(-2))\/6. Suppose 3*i = 5*g - 20, -5*g = -63 + 43. Which is the fourth biggest value? (a) h (b) i (c) -0.1 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.717707 - -3.717707. Let g = 0.3 + -0.8. What is the second biggest value in -4\/135, d, g?\nAnswer: -4\/135","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = 8*u - 9. Let z(m) = m**3 + 17*m**2 + 15*m - 14. Let y be z(-16). Let a(x) = x**2 - 1. Let o(v) = y*a(v) - w(v). Give o(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4946*x**3 + 14 - 11 - 3 - 4947*x**3.\nAnswer: -x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*s**2 + 2420 - 2420.\nAnswer: -4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -13516, -13733, -14094, -14599?\nAnswer: -15248","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = 39*d**2 - d. Let o be p(1). What is the highest common divisor of o and 57?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011 times 4?\nAnswer: -0.0044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 2270, 2274, 2278, 2282, 2286, 2290?\n\"Answer: 4*d + 2266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*d = 3 + 1, a = -5*d - 4. Is a not equal to -2\/11?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2763.9 - -2764. What is the fourth biggest value in -3, -2, -3\/17, x, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 104 + -100. Solve 2*i = -4*p - 4, -4 = 5*i + w*p + 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 617 minutes after 4:23 AM?\nAnswer: 2:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 11045690 rounded to the nearest one million?\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 1250*c**3 - 1252*c**3 + 4*c + 2*c**2 + 18*c in the form z + x*c**3 + t*c**2 + f*c and give f.\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 177 + -173. Calculate the smallest common multiple of 12 and m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 134 - 51. Let d = y - 76. Solve -2*b + 6*b = -i + 11, d = -b + 3*i for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 + 14*h - 5 - 8*h)*(150*h - 191*h**2 - 150*h).\nAnswer: -1146*h**3 - 955*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12277613.\nAnswer: 2357, 5209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 286921 and 5269.\nAnswer: 3156131","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) be the third derivative of -11*r**8\/42 - 167*r**5\/60 + 185*r**2. Find the third derivative of y(g) wrt g.\nAnswer: -5280*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the third derivative of -p**5\/3 + 15*p**4\/8 - 25*p**3\/6 - 5289*p**2. Factor q(b).\nAnswer: -5*(b - 1)*(4*b - 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -409629593158 + 0.7?\nAnswer: -409629593157.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 38 and (-2)\/(((-3)\/(-72))\/((-1)\/2))?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -2*y**2 - 1401*y - 69277. Calculate g(-53).\nAnswer: -642","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*f + 273*f = 141*f + 8080 for f.\nAnswer: -101","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 14721*q**2 + q - 14932*q**2 - q.\nAnswer: -211*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 13 - 10. Suppose 12 = b*u - 12. Is 8 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.5, 0.16, 0.2, -15 in descending order.\nAnswer: 0.5, 0.2, 0.16, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 209725079 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that -2*g**3 - 526*g**2 - 1046*g - 522 = 0.\nAnswer: -261, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes after 11:11 AM?\nAnswer: 11:23 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -420 divided by 35.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35*y + 5*y + 180 = 0 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*((sqrt(144) + (sqrt(144) - 2*sqrt(144)) + sqrt(144) - sqrt(144))\/sqrt(12) - sqrt(21)\/(sqrt(63)\/(-2*sqrt(9)))).\nAnswer: -12*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = -10*f + 64. Let a be z(7). Calculate the remainder when (a - 14\/(-5))\/(2\/(-30)) is divided by 25.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17207711*w**4 + 303449968*w**2 wrt w.\nAnswer: -412985064*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*i**3 - 368984*i**2\/5 - 4428888*i\/5 - 13287744\/5 = 0. What is i?\nAnswer: -6, 184552\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/((-120)\/(-18)))\/(9\/(-2))?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1534 divided by -59\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.452646674 to 3 dps.\nAnswer: 0.453","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -39. Let k be 5*(-1 + -4 + 6). Solve u*d - 4*y = 9, -2*y - 3*y = -k*d + 15 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 560 - -7. Is g a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 482 minutes before 12:04 PM?\nAnswer: 4:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000002160802 rounded to 7 dps?\nAnswer: -0.0000022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 48932233?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, g: 6, b: 1, r: 2, q: 2}. What is prob of picking 2 g and 1 r?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -4025 + -5?\nAnswer: -4031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 1) + (-18 - -22) - (-4 + 8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2 and 314.\nAnswer: 314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 1 + 0)*(-d - 66 - 28 - 83).\nAnswer: 4*d + 708","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1 by -53.\nAnswer: -1\/53","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/r**(-2\/5))\/r*r*r*r*r*r**1*r)\/(r\/(r\/((r\/(r\/(r\/r**(-1\/3)*r)*r))\/r*r)*r)*r**(-1\/4)\/r) assuming r is positive.\nAnswer: r**(439\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 22, -0.3, 1, 0.5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1051*s + 10216 + 14312 = -21716 for s.\nAnswer: 44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**3\/4 - 937*s**2 - 86711*s\/4 - 41481\/2.\nAnswer: (s - 3771)*(s + 1)*(s + 22)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 7*j - 2*i, -4*i = 3*j - 4 + 14. Calculate the remainder when 112 is divided by j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 74420 divided by -122?\nAnswer: -610","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) 0.3 (c) 6 (d) 0 (e) -10\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -66, -156, -306, -516?\n\"Answer: -30*d**2 - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0*q + 60\/7*q**2 - 2*q**4 - 134\/7*q**3 + 0.\nAnswer: -2*q**2*(q + 10)*(7*q - 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 23*n = -27*n + 7, 0 = -3*t + n - 7 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:26 PM and 1:23 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1466 is divided by 138?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/84)\/((-10)\/((-80)\/12))?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (3 + (-65 - -66) + 122\/(-30))*-9?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3148250295+-0.6\nAnswer: 3148250294.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = -2*c**3 + 1. Let o(g) = -8*g - 29. Let n be 2 - (-20)\/(-8) - (-7)\/(-2). Let t be o(n). Let r(q) = 4*q**3 - 2. Calculate t*r(b) + 7*v(b).\nAnswer: -2*b**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 22 - 22 + 3*b + (4*b - b - 5*b)*(-2 + 5 - 1) - b + 4*b - 5*b + 2*b - 7*b + 3*b.\nAnswer: -5*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -14*v - 53. Let b(k) = -5*k - 18. Let m(n) = -11*b(n) + 4*u(n). What is m(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -41*w**2 + 3*w. Let y(f) = 40*f**2 - 2*f + 1. Calculate -2*g(t) - 3*y(t).\nAnswer: -38*t**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(-4 + -5*(3 + 0 + sqrt(847))) + -3)**2.\nAnswer: 9020*sqrt(7) + 86381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11163.\nAnswer: 3, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*n + 4 = -n + 3*h, 4*h - 8 = 0. Let r = 55 - 47. Suppose r*s - 50 = -2*s. Solve n = -3*t + s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 60948?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6081619.\nAnswer: 29, 43, 4877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is k in -2*k**5\/9 - 142*k**4\/3 + 290*k**3 - 438*k**2 = 0?\nAnswer: -219, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.004 + 10.504. Let j = v - 10. Let g = j - 0.5. Is g greater than or equal to 4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1590, -0.3, 4\/7, 2\/13?\nAnswer: -1590","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1001010111101101 (base 2) to base 13.\nAnswer: 14615","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.5 (b) 216 (c) -0.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v - 3*q = -3*v + 18, -5*v - 3*q = 2 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.09, 10, 0.05, -3\/7, 0?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 7c - -c2?\nAnswer: 13e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 757915.7 kilometers to micrometers.\nAnswer: 757915700000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 69 divide 36690819?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16)\/28 + 218\/14. Solve 4*k - 2 + r = -h, 3*k = -5*h - 14 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 18314 and -2.\nAnswer: -36628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -665 - -682. Suppose -i - 2*i + 141 = 0. What is the remainder when i is divided by l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 181.237131 to two dps.\nAnswer: 181.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -z**4\/3 - 2190*z**3 - 3603639*z**2 - 21562740*z - 32314572.\nAnswer: -(z + 3)**2*(z + 3282)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.06391ml in litres?\nAnswer: 0.00106391","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 61357473?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2645895 + 1322952 + 1322945 + 15*q**2.\nAnswer: 15*q**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(2*(-2)\/4). Let s = -1127 - -1127. What is the remainder when (86 - 4) + s\/a is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-286)\/(-48))\/(12\/(-16)) and (-4)\/66*(-9 - 2520\/(-160))?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12812382, 102499105, 345934506, 819992925, 1601548702, 2767476177, 4394649690, 6559943581?\nAnswer: 9340232190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6 - (5 - (-1 + 4)). Let h = 4 - t. Suppose 2*m = 4*i - h*m - 34, -3*i - m = -28. Is i prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 245 a multiple of 49?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 703*g**3*l**2*t - 103145*g**2*l*t**3 - 349*g*l**2 + 13*g*t**3 - 71*g*t**2 - 4*l**2 wrt g.\nAnswer: 4218*g*l**2*t - 206290*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-12)\/10)\/(956\/(-114720)*18\/4).\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 159 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3 and -10587.7?\nAnswer: -31763.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 5\/869 - 904\/6083. Which is the third smallest value? (a) -7 (b) 0.09 (c) 1\/4 (d) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 491181?\nAnswer: 3, 17, 9631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 93537254 times 4?\nAnswer: 374149016","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -12, 1, 674, -1, -18, 0.\nAnswer: -18, -12, -1, 0, 1, 3, 674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine l so that -2*l**3 + 716376*l**2 - 54432870*l - 55149248 = 0.\nAnswer: -1, 77, 358112","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 3*g**3 - 2*g**2 - 4*g - 6. Is s(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-48)\/448*98\/210.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 = 5*r - 4*f, -1028*r + 3*f - 2 = -1026*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -11.8, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 583 + 937 = 0. What is the hundreds digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -65 + 91. Suppose 0 = 12*n - 13*n + 18. Suppose 4*g - n = a. What are the prime factors of g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/7*-20)\/((2072\/196)\/(-37))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10425*u - 40 = 10430*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 40883 is divided by 4541?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -26657 and -2111.\nAnswer: 56272927","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31*z = -128*z + 56*z + 38*z + 129 for z.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p + 7 = -2*u + 2, -p - 1 = u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 3\/83, 4, -0.5?\nAnswer: 3\/83","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -200 or -64?\nAnswer: -64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m + 6*m - 1 = 0. Let n be (-4 - -3)\/(m\/(-2)). Let b(t) = -4 + 8 + t + t**n + 6. Give b(0).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 352 and 2528?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(-10\/3)\/((x*(x*x**(-40)\/x*x*x)\/x*x)\/x)*(x**(-29\/5)\/x)**(28\/9) assuming x is positive.\nAnswer: x**(608\/45)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 681*d - 2155 = -429*d - 49885 for d.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.5*19170065.\nAnswer: -9585032.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:01 PM and 3:51 AM?\nAnswer: 710","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.4 and 44.\nAnswer: -17.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -22, 1\/6, -4 in decreasing order.\nAnswer: 1\/6, -4, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 533990796 to the power of 1\/4, to the nearest integer?\nAnswer: 152","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 93389373 to the nearest integer?\nAnswer: 9664","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/(0 + (-2)\/(-56)). What is v rounded to the nearest 10?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18528840 divided by 44.\nAnswer: -421110","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = y + 2. Let c(p) = y*p + p - 2 + 0*p. Is 9 a factor of c(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**4\/13 + 45756*r**3\/13 - 3697488*r**2\/13 + 99753444*r\/13 - 897426702\/13.\nAnswer: -2*(r - 22797)*(r - 27)**3\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 8181795, 16363589, 24545383, 32727177, 40908971, 49090765?\n\"Answer: 8181794*h + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -6*m**3 - 7*m**2 + 52*m + 6. Let j(l) = 5*l**3 + 6*l**2 - 51*l - 5. Determine 7*j(s) + 6*k(s).\nAnswer: -s**3 - 45*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find p such that -2*p**5\/7 + 18*p**4\/7 + 78*p**3\/7 - 50*p**2\/7 - 36*p - 144\/7 = 0.\nAnswer: -3, -1, 2, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2 + -221010002210221?\nAnswer: -221010002210212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + 2 = -0*l - 6*l, 0 = -4*l + h + 8. Let z be ((-26)\/6 - (-8)\/(-12)) + 3. Let w(y) = 7*y - 3. Let p(t) = 8*t - 4. Give l*w(i) + z*p(i).\nAnswer: 5*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1264 - 1287. Sort -3, -1, l, 4 in decreasing order.\nAnswer: 4, -1, -3, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 3*r + 33. Let h(p) = p + 16. Let u = 10 - 19. Let l(s) = u*h(s) + 4*b(s). Let g(q) = 3 - 1 - 3. Calculate 12*g(y) - l(y).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 47*n + 22. Let c be r(6). Factor -3*t + 303*t**2 - 10*t - c*t**2.\nAnswer: -t*(t + 13)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3*o - 8 + 29 = 0, 4*o = -8*h + 32 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 553 minutes after 8:23 PM?\nAnswer: 5:36 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -351769*c**2 - 13*c - 5 + 351771*c**2 - 227*c**3 - 5 wrt c?\nAnswer: -1362*c + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -3. Let p = -37.7 + 38. What is the nearest to 2\/7 in 5, p, k?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + 2 - -6 - (41 - 37).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16946 = 576*v - 118*v for v.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30*n - 25*n = 5*u - 17540, 0 = 4*u - n - 14038. What is the highest common divisor of 2970 and u?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-28)\/(-24) + (-3)\/6. Put t, 4, 0.3 in increasing order.\nAnswer: 0.3, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -1, -12, 2 in descending order.\nAnswer: 2, -1, -3, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h*h**(-2\/5))\/h**(2\/3))**19 assuming h is positive.\nAnswer: h**(-19\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of -1\/2*i**2 - 5 + 2*i. Let c(v) = 2*v**3 + 4*v**2 + 2*v - 2. Let p be c(-2). Give r(p).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 3*f**3 + 2*f**2 + 2*f + 1133. What is the thousands digit of z(0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r**(-2\/7)\/r)\/r)**(2\/35) assuming r is positive.\nAnswer: r**(-18\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 13\/39 + (-745)\/975. Which is smaller: 1 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33 + -32 + 32 + -29?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -11*q - 452. Give c(-26).\nAnswer: -166","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 120 = 2*s - 3*o, -5*o + 24 = s. Find the first derivative of 52 - 9*f**4 - 33 - s wrt f.\nAnswer: -36*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-1)*(-658)\/21. Let q = 94 + s. Suppose -5 = 3*r + 2*r. Sort -15, q, 4, r.\nAnswer: -15, r, q, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) = 41*h. Let r(z) = 37*z - 1. Give d(r(a)).\nAnswer: 1517*a - 41","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.7 * -28862\nAnswer: -20203.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence tloo when four letters picked without replacement from ootglytk?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -2*q**2. Let w(k) = -2*k - 5 + 5. Calculate w(b(f)).\nAnswer: 4*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 54, 40, 10, -42, -122?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1.54? (a) 6\/5 (b) -38 (c) -47.9 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*p + 47*p + 4*p + 26*p to the form c + t*p and give t.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + (1 - -15) - (92 - 120)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1830.\nAnswer: 2, 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 52310, 52472, 52750, 53150, 53678?\nAnswer: 54340","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 186, 352, 498, 618, 706, 756, 762?\n\"Answer: -i**3 - 4*i**2 + 185*i + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c + 0*c = 5*n - 4410, 3*c = 2*n - 1773. Find the second derivative of n*k**2 + 5*k**3 + 15*k - 879*k**2 wrt k.\nAnswer: 30*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -148*r - 251. Let d be v(-5). Let j(m) = -10*m - 978 + d + 489. Let w(p) = 9*p. Calculate w(j(o)).\nAnswer: -90*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 21*k + 24*k - 73*k + 27*k. Let s(i) = -i**3 - i - 78. What is s(k)?\nAnswer: -78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 850 + 1103. Let w be 2\/11 + u\/99. Let l(p) = -2*p - 2. What is l(w)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 63\/23 - 911\/299. What is the closest to s in -0.3, 0, -3, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3350 - -934. Is i\/(-20) + (-2)\/(-10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -109, -228, -389, -592, -837, -1124, -1453?\n\"Answer: -21*q**2 - 56*q - 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 0.01. Let z = -0.3 - o. Let s be (4\/8)\/((-1)\/(-8)). Sort 4\/3, s, z in decreasing order.\nAnswer: s, 4\/3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -129*s + 520. Calculate v(4).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**0\/(r**(-7\/3)*r)*((r*r\/(r**0*r))\/r*r*r)\/(r*r**(-2\/13)) assuming r is positive.\nAnswer: r**(97\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 708 minutes before 11:55 PM?\nAnswer: 12:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 3, f: 3, d: 4, p: 3, q: 4}. What is prob of sequence df?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h - 30*g + 5496 = -26*g, -4*h + 3*g + 5468 = 0. What is the hundreds digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 21*w - 22*w. What is the greatest common divisor of 8 and w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 - -9. Suppose 0 = -t*c + c + 6. Let d be (-63)\/28*4\/(-6). Is c <= d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 39*n**2 - 1. What are the prime factors of s(1)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*d + 8*d + 3*x + 9, 3*x = -4*d - 9. Suppose 5*n = -d*n + 20. Solve -m = -4*l + 19, l = -n*l + 20 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 169605\/(-15) - (-10 + 12). Which is smaller: l or -11307?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -4*b**3 - 137*b**2 + 103*b - 37. Let u be d(-35). Solve 0 = u*g - 35*g - 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -1, 0, 174, -15 in ascending order.\nAnswer: -15, -1, 0, 2, 174","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the third derivative of -k**6\/120 + 7*k**5\/60 - k**4\/4 + 4*k**3\/3 + k**2. Let c = 6 + 0. What is the units digit of n(c)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -121 + 376. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) be the second derivative of -c**4\/6 - c. Suppose 4*u - 26 = 5*o, -2*o - 3*o = -3*u + 22. Let d(x) = 4 + 5*x**2 - u. What is d(h(z))?\nAnswer: 20*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((0 - -1) + 4)*1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -46*-2575\nAnswer: 118450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = n**2 - 5*n - 11. Let p = 7 + 2. Let t be i(p). What is the highest common divisor of t and 10?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:39 AM and 9:39 PM?\nAnswer: 660","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44085 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(w) = 57*w + 10. Let n(h) = -60*h - 8. What is 4*n(z) + 3*r(z)?\nAnswer: -69*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/294488779 > -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 16\/(-72) - (2 - (-141)\/(-27)). Suppose b*p = -6*p. Suppose f - 10 = -2*r - p*r, 0 = 2*r + 2*f - 10. Put r, 2, -2\/3 in ascending order.\nAnswer: -2\/3, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 96155?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 2 - (6 + -16 + 11).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, 2001 in decreasing order.\nAnswer: 2001, 1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1044 and 10324.\nAnswer: 116","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 46 a factor of 3195264?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1219029*j**2 + 13621892*j?\nAnswer: -2438058","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54582?\nAnswer: 2, 3, 11, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**2 - o**2 + 2*o**2 + (-10*o + 131*o - 7*o + 92*o)*(0*o + 2*o - 3*o).\nAnswer: -204*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 10. Suppose 5*v - 5*p + 5 = 0, 5*p - n = -3*v + 12. Let w(k) = -k + 4. Let c be w(-3). Solve v - c = m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 6) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20392382 is divided by 635.\nAnswer: 627","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 678192 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 62623551283 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -52130, -104263, -156396, -208529, -260662, -312795?\n\"Answer: -52133*o + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -43, -2, 4, 9 in decreasing order.\nAnswer: 9, 4, -2, -43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 6\/(-42) - (-1)\/7. Let t be (0 + (-2 - b))\/3. Sort 2, t, 0.4 in descending order.\nAnswer: 2, 0.4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/10, 5403, -4, -4\/3, 0 in increasing order.\nAnswer: -4, -4\/3, -1\/10, 0, 5403","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - t = -3*i + 19, -5*i = -2*t + 3. Let z(l) = -6*l**2 + 4. Let v(a) = -13*a**2 - a + 9. Let r(o) = 3*v(o) - 7*z(o). Is r(t) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1229 is divided by 170?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three eighths of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the second derivative of -c**4\/12 + 41*c**3\/6 - 14*c**2 - 5*c. Let l(k) = 21*k - 14. Let b(p) = -3*f(p) + 7*l(p). List the prime factors of b(-11).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 16*p - 10*p - 1 - 63*p)*(-5*p**2 + 9*p**2 - 5*p**2).\nAnswer: 57*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ded when three letters picked without replacement from {d: 3, t: 2, e: 5}.\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 617776774?\nAnswer: 2, 373, 828119","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35 + 54. Calculate the remainder when -2 - -54 - (-1 + 0) is divided by k.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -144 - 28 - 111 + 30 + 139*d. Is i(7) a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 1509.289 micrometers?\nAnswer: 0.000001509289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2533.5 - 2533. Suppose -5 = -3*x - 5*n, -2*x - 3*n = -n - 2. Which is the biggest value? (a) x (b) j (c) -2\/139\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -169*u**3*z - 4*u**3 + 20*u**2*z + 2*u**2 - 596*u*z - 27*u wrt u?\nAnswer: -1014*u*z - 24*u + 40*z + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 304397897.\nAnswer: 31, 47, 401, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -6*z + 4*z. Suppose z*n + 0*n = 2*j, 3*j + 4*n = 0. Let h(g) = g**3 - g + 3. Give h(j).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = 4 + 6. Let k(y) = -20*y - 3. What is the remainder when k(p) is divided by 10?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3600\/100*2\/9 - -15. Solve 24*s - w*s = 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:55 AM and 11:04 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 452831578?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that -3*d**3 - 288492*d**2 - 576975*d - 288486 = 0.\nAnswer: -96162, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/16309 and -43\/3817.\nAnswer: 179399","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4*10.2.\nAnswer: -40.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(-2)\/y*y*(y\/(y**3\/y))\/y)\/(y**1)**18)\/((y**(-2\/3))**(-1\/5))**(16\/7) assuming y is positive.\nAnswer: y**(-2237\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/2480 and 65\/5456?\nAnswer: 27280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 0)*6\/12. Let l = 69 - 64. Solve v*i - 5 = -l*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (5 + -7)\/((-4)\/14). Solve 3*a + 3 = 3*q, -5*a + l = q - 6 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -470*l - 379*l + 816*l + 11. Give d(2).\nAnswer: -55","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away -108789935915?\nAnswer: 108789935915","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77536840 is divided by 307?\nAnswer: 306","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 n and 1 e when two letters picked without replacement from wqeenoeojwooo?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(50) + (sqrt(1250))**2).\nAnswer: 10*sqrt(2) + 2498","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 42138925 a multiple of 123?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 1 (b) -0.2 (c) 1\/5 (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -12\/485 (b) -0.9 (c) 4 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 6*j - 90. Solve -j*i + 4*i = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11203021 (base 6) to base 11.\nAnswer: 214611","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 12 - -3?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ffizxdxzxfix. What is prob of sequence idxz?\nAnswer: 2\/1485","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**2 - 29*l - 32. Let d be q(-21). Let f = d + -632. What is the thousands digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 21 + -12. Suppose -4*z = -3*q - b*z + 40, 4*q - 35 = -3*z. Let k = -1 + 1. Solve k = 3*p + 2*p + 4*o - 25, -3*o = -q*p - 10 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c (base 13) to base 11.\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1755 rounded to two dps?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.34 + -1.14. What is the closest to p in 0.1, 2\/11, -0.3?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((10340\/(-141))\/(-44))\/((-125)\/(-10)).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 219313181 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4114.91 - 4115. Sort w, 0, 5\/13 in descending order.\nAnswer: 5\/13, 0, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*c + 34 = 3*k - 3*c, 4*k + 2*c = 22. Suppose -6 = -l - z - 2, 0 = 3*z - k. Suppose -l*u + 28 = u. Does 6 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 3*r - 35, 32*r - 26 = -34*r + 64*r + 2*o for r.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -12*c**3*o**2 + 121*c**3*o - 162*c**3 + c**2*o**2 - 2*c**2*o + 31*o**3 wrt o.\nAnswer: -24*c**3 + 2*c**2 + 186*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*u + 114 = -132. What is the remainder when u is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*k, -4*k = 2*v - 13 + 37. List the prime factors of -4*-36*((-8)\/v + 4).\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 2*m**2 + m + 2. Let j be g(0). Solve 9*w + 5*s = 4*w - 20, j*w = -5*s - 5 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 0 (b) 2 (c) 2007 (d) -0.5 (e) -24 (f) 0.1 (g) 1\/4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -43*m**2 - 7*m + 14*m**2 - 7 + 14*m**2 + 14*m**2. Calculate f(-6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -116530560 (base 7) in base 12?\nAnswer: -2582203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 484*i**4\/7 - 2469860*i**3\/7 + 600179868*i**2 - 340308598644*i + 5624771544.\nAnswer: 4*(i - 1701)**3*(121*i - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + c + 38 = 0, 2426 - 2332 = -46*x + 3*c for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 1 + 0)*(4*h - h + h).\nAnswer: 16*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the third derivative of s**5\/140 + 3*s**4\/28 + 122*s**2. Factor b(v).\nAnswer: 3*v*(v + 6)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qrvo when four letters picked without replacement from {o: 1, r: 4, x: 2, v: 2, q: 1}.\nAnswer: 1\/630","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*y = 4*u, u + 6*y - y = 0. Let j(m) = 2*m**2. Let t be j(1). Let x(l) = 10 - l**t + 2 - 3 - l. Calculate x(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1316)\/(-51324)*(-24)\/(-2)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((p\/p**(1\/13))\/p*p)\/p)**(-1\/2)\/((p\/(p**(-1\/15)*p))\/p)**(1\/21) assuming p is positive.\nAnswer: p**(97\/1170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4521918, -18087726, -40697406, -72350958, -113048382, -162789678?\nAnswer: -221574846","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = 15*z. Let w(k) = 61*k. Let g(o) = 4*f(o) - w(o). Let s(u) = 62*u - 2. Give -5*g(d) - s(d).\nAnswer: -57*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find t such that 4*t**5 - 9116*t**4 + 207876*t**3 - 731332*t**2 + 875480*t - 342912 = 0.\nAnswer: 1, 2, 19, 2256","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 293\/5 + -58. Let j(t) be the first derivative of 0*t**4 + 1 + 0*t + g*t**5 + 0*t**2 + t**3. Find the third derivative of j(l) wrt l.\nAnswer: 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 339, 1359, 3069, 5469, 8559, 12339, 16809?\n\"Answer: 345*x**2 - 15*x + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 10*v - 307. Let i be a(31). Solve 20*l - 8 = 18*l + i*t, -2*l + t = -8 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = 4*u + u + 0*u - 18 - 3*u. Let o be y(9). Solve -2*v + 6*v - 16 = o for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 217064*c - 2170636. Give u(10).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 16019 is divided by 1242.\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 3 + 4 = 0. Let a be (-2 + 5 + 0)\/q. Factor -2*k**4 + k**4 + 5*k**5 + 4*k**2 - 6*k**4 - 8*k**a.\nAnswer: k**2*(k - 2)*(k + 1)*(5*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + v = -125697, 19*h - 3*v - 502791 = 23*h. Round h to the nearest ten thousand.\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-6)\/(-2) - 1)*1. Let h = 71 + -71. Solve -x*t = -3*c + 17, -27 = 2*t - h*c - 5*c for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*k + 3 = -3*x + 11*k, 4*k - 5 = 5*x. Is 8\/103 greater than x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 10*r + 5*o - 103, 5*r - 2*o + 133 = 0. Let q = r - -66. What is the tens digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + -3 + -4 + 4 + -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/4))**42)**(-1\/10) assuming k is positive.\nAnswer: k**(-63\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.3, -2\/43, 1382 in ascending order.\nAnswer: -2\/43, 0.3, 1382","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o - 45*b = -40*b, 5*b + 40 = -5*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5120.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = -5, -22*w - 32510 = -5*x - 26*w. List the prime factors of x.\nAnswer: 2, 3253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 57\/5 of a litre in millilitres?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = -5*j + 105. Suppose -j*v + 18*v - 8 = 0. Suppose 0 = 4*b + f + 2*f - 39, 44 = 5*b - f. What is the least common multiple of b and v?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-7)\/(-12)*(34\/(-7) - -5). What is the nearest to r in -2\/3, -5, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(-1\/2))**(1\/3))**50\/((n\/(n\/((n*n**3)\/n)))\/n**(-2)*n*(n\/(n\/n**(-3\/4)))\/n*n*n*n**(-3)\/n*n) assuming n is positive.\nAnswer: n**(-139\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 a when four letters picked without replacement from crrnrnarhnaaa?\nAnswer: 1\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 1116 divided by -9\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (78\/(-24))\/(8\/(-160)*-1)\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find s, given that s**5\/4 - 3*s**4 + 11*s**3\/4 + 23*s**2 - 3*s - 20 = 0.\nAnswer: -2, -1, 1, 4, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -2\/7501953?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 404.3122 nanograms in kilograms?\nAnswer: 0.0000000004043122","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 22947 divided by -1?\nAnswer: -22947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-3)\/(-9) + (-950)\/(-3). Let d = n + -177. Suppose 4*x = -x + d. What is the remainder when x is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -29503, -59022, -88539, -118054, -147567?\n\"Answer: j**2 - 29522*j + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2\/5 - 8532*u - 13044416\/5.\nAnswer: -(u + 308)*(u + 42352)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(77)\/sqrt(11))**2 + (-3 + 1*sqrt(7) - sqrt(7)) - (3*-1*sqrt(7))**2*1*-2.\nAnswer: -2*sqrt(7) + 131","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 - 9. Solve g = h - 8, -3 = -2*h + w for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -792, -767, -742, -717?\nAnswer: -692","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 14 = -4*r + 38, -2*r + 5*v = -20. Let u = 40924303\/303 + -135059. Let q = u - 4\/101. Does q = r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 21\/(-2)*516\/(-903) + 22737?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b*b\/(b*b**(2\/7)*b)))\/b)**(-4\/9)*b*b\/b**(-10)*(b\/(b*b*b**(-7)))\/b assuming b is positive.\nAnswer: b**(1063\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -72*d + 1285 - 421 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*q + q + q)*(-2 + 5 - 2) - q + 1 - 1 - 2 + 2 - 2*q + 5 - 5 - q)*(37 + 210*q - q**2 - 210*q).\nAnswer: 5*q**3 - 185*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3036383 and 98?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 4 + 1)*(1 + 0 + 0) - 3 + 3 - 2)*(-66*t**3 - 89 + 131*t**3 - 68*t**3) to the form r + x*t**3 + k*t**2 + q*t and give x.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*y + 0*y + y)*(-244 + 765 + 758).\nAnswer: -2558*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 214*x - 2. Let n(d) = 0*d + 4*d - 257 + 510 - 253. Give n(a(j)).\nAnswer: 856*j - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Work out -14.04 - -11021.8.\nAnswer: 11007.76","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 201 - ((-15)\/(-40))\/((-5)\/40). Let r(x) = x**3 + x**2 - 5*x - 5. Let d be r(-2). Sort d, 2, m in ascending order.\nAnswer: d, 2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = -0 + 92. Suppose o + 0*o = f. What are the prime factors of o?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwwwkkwwwwwwwkwkkw. What is prob of sequence ww?\nAnswer: 91\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 4*t + 33. Let z = -65 - -80. Let k be j(z). Let v = k - -98. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 4*o + 2 = 6, -5*r + o + 8 = 0. Let h = r + 1. Solve 2 = -h*a - 7 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 4 (b) 4234 (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 34, 52, 60, 58, 46, 24?\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -290*r + 4*x = -286*r + 8, 2*r - 3*x + 3 = 0 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.2 times -21.86?\nAnswer: 26.232","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2.01 + -0.01. Suppose 5*m = 6*m - 5. Let s = 0.4 + 0.1. What is the nearest to v in s, -0.3, m?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 507 and 39?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -11306\/5 or 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1821*t + 1733 + 11014 for t.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.4? (a) 2.4 (b) -1 (c) -0.5 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 2 = -3*h - 4, 3*z + 12 = -3*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = -3*y - 25. Let v be x(-12). Let w(g) = -g**3 + 6*g**2 + 2*g - 1. Let t be w(-4). Let d = t + -96. Calculate the greatest common divisor of v and d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a\/((a\/a**(-12\/7))\/a)*a*a\/a**(2\/13)*(a**(1\/5))**8 assuming a is positive.\nAnswer: a**(1243\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -13648 + -5?\nAnswer: -13652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 0.1, -36, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -3\/19, -1.8, -3, -0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -168217044.91 + -16?\nAnswer: -168217060.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3\/29 + 115\/1392. Which is greater: d or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 + -6 - (3 - 2)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 67\/224 and 17\/182.\nAnswer: 2912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 269192 and 125664.\nAnswer: 54915168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15160 - 6676. Calculate the highest common divisor of 168 and t.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 36415188?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -70730, -141464, -212198, -282932, -353666, -424400?\nAnswer: -495134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4096*u = -4344*u + 496 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 16 + 77 = 0. Let t be (-2622)\/30 + -5 - (0 - -1). Let p = d + t. Which is the nearest to p? (a) -3\/7 (b) -0.3 (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1794*t**3 - 3505*t**3 + 2249*t**3.\nAnswer: 538*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -20 - -42. Let y be (43 - -1)\/(22 + -24). Let q = l + y. Solve -2*d - u + 2*u = 9, 3*d + 5*u - 19 = q for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9786\/342473 at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.01194 and 602.7639876.\nAnswer: 602.7759276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2276466761 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w - b + 94 = 0, -w - 251 = -b - 241 for w.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 1, a: 2, c: 6, e: 3, m: 1}. What is prob of picking 2 a and 1 m?\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13*111.\nAnswer: -1443","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3)\/(-15*2)*4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 133 - -155. Let 144*g - 4*g**3 - n*g + 144*g = 0. What is g?\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20306 - -20304. Let a = 13.3 - 14. Let s = -0.2 - a. Is k greater than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 73 = -o + 72, 0 = -5*o + 4*f + 605. Is o a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*b + 45 = -5*b. Solve -2*m - b = 3*m for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in six fifths of a tonne?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 253884 and 24.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9454\/2737 - 10\/391. Find the common denominator of t and -49\/4.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (159\/(-106))\/(1*-3)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 739 to the power of 1\/2, to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4347 is divided by 712.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 29425*m**3 - 4207*m**2 + 69*m. Let f(d) = 7357*d**3 - 1052*d**2 + 18*d. Let s(j) = 23*f(j) - 6*o(j). What is the third derivative of s(w) wrt w?\nAnswer: -44034","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide (-40)\/200 + (-1758)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1239 to the power of 1\/5, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*i**3\/5 - 4396*i**2\/5 + 53198*i - 758352\/5 = 0. Calculate i.\nAnswer: -2257, 3, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/(8\/6 - 2). Suppose 0 = -2*b + 14 + 52. What is the highest common divisor of b and z?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*s + 170 - 85 - 85.\nAnswer: -5*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 0\/(3 + 0) + 27?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5807*b*o*x**2 - 4*b*o*x + 226*b*o + 3*b*x - 6*b - 1685*o*x**3 + 2*o*x - 20*o wrt x.\nAnswer: -11614*b*o - 10110*o*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 842.7 - 841.7. What is the closest to q in 0.25, -0.1, 2\/13, -0.11?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-2)\/6)\/(4\/(-12)). Let v be -1 - g*2*-2. Suppose v*o + 3 = -2*x, 0*x + 2*o = -4*x + 6. Calculate the greatest common factor of 33 and x.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7916?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 29 and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 130, 386, 694, 1048, 1442, 1870, 2326?\nAnswer: 2804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 224 = -6*l, 5*u - 2522 = -2*l - 2474 for u.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (12\/(36\/(-6)))\/(19\/((-1615)\/10))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 = v, -3*v + 16 + 0 = -q for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 261999441 to the nearest integer?\nAnswer: 127","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21 - -dd5?\nAnswer: e06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -1 - 25*a + 0 - 5 + 28*a. Let f be y(4). Suppose -x = -2 - 2. Is x equal to f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = 14*q**2 - 2*q + 1. Suppose 4*c = 3*o - 15, -5*o - 5*c - 11 = -36. Suppose -5 = -0*t - o*t. Is h(t) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 220838 (base 9) to base 11\nAnswer: 90112","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the third derivative of -p**6\/780 + p**5\/390 + p**4\/156 - p**3\/39 + 15*p**2. Factor c(a).\nAnswer: -2*(a - 1)**2*(a + 1)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 56674554397 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(285)\/(sqrt(5) - (sqrt(5) + sqrt(45)\/sqrt(9))))\/(sqrt(363)*-3 + sqrt(363)) + 0.\nAnswer: sqrt(19)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:15 PM and 3:15 PM?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m**3 + 5*m**2 - 13*m - 72. Determine d(-7).\nAnswer: -79","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 50356 is divided by 930.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 1, s: 1, y: 1, c: 1, p: 2, x: 1}. Give prob of picking 1 s and 1 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66 and 34078.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5257 and 83753022?\nAnswer: 586271154","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the first derivative of -2\/11*f + 2\/33*f**3 - 25 - 1\/22*f**4 + 1\/11*f**2. Solve w(n) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 - -21 - (5 - -1).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 37 = 5*i, 11*i = 3*u + 3*i - 89 for u.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.03 - -0.326.\nAnswer: 0.356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-32)\/10*5035\/4028?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -1078 + 1078 + 40*h to the form z + i*h and give i.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -591 = -2*d - q, 241 = -5*d - 3*q + 1718. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.617 - -112.383. Let z = -113.00768 + i. Round z to 3 decimal places.\nAnswer: -0.008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 67 divided by 96\nAnswer: 67\/96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-7392)\/72)\/(-44)*114\/(-12635).\nAnswer: -2\/95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -195001528.99999998 + 195001531. Let y = 0.03 - -1.97. Let l = y - j. Round l to seven dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5\/8 of a litre?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n + 24*n = -11*n + 27*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 4795.03nm?\nAnswer: 4.79503","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 290450673.\nAnswer: 3, 32272297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -2*s**3 + 10*s**2 + 4. Let o be v(5). Suppose o = 12*i - 10*i. Find the second derivative of -18*j - 4*j - j**3 - i*j**3 - 3*j**3 wrt j.\nAnswer: -36*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -2*c**2 - 2*c. Let d be (1\/(-1) - 1) + 1. Let z = 3 + d. Let o(t) = -6*t + 19 - 19 + 10*t**2 + 17*t. What is z*o(y) + 11*x(y)?\nAnswer: -2*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 91559 divided by -1.\nAnswer: -91559","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in -0.6, 1\/8, -7?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -12\/133 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 2*t**2 - 1. Let v be m(2). Let h(l) = -10*l + 3. Let x be h(-6). Calculate the highest common factor of x and v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 471, 947, 1425, 1905?\nAnswer: 2387","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -219, -5, 5, -7, -24, 0 in decreasing order.\nAnswer: 5, 0, -5, -7, -24, -219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(2 + 20\/2). Let y(c) be the second derivative of 1\/3*c**3 + 0 + 0*c**2 + k*c**4 + c. Find the second derivative of y(d) wrt d.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1646878000 a multiple of 200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 15367 + -15368. Let l = 3 - 2. Which is the closest to l? (a) -3 (b) t (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 5*k = 0, 2*k - 3*k + 1 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence em when two letters picked without replacement from {t: 1, e: 2, h: 1, m: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (4 + -1 - 5)*-7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + (sqrt(136) - (sqrt(136) - (sqrt(136)*2 + sqrt(136) + sqrt(136) + sqrt(136))))\/sqrt(8).\nAnswer: 5*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3 by 397.\nAnswer: 3\/397","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 476758929?\nAnswer: 3, 47, 3381269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 5\/6 of a decade?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 194820 = 246*q - 212*q. What are the prime factors of q?\nAnswer: 2, 3, 5, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 6*(-3)\/9*8. Let x be 2\/(-3) + z\/3. Let i(h) = -h**3 - h. Let u(c) = 2*c**3 - 4*c**2 - 2*c - 2. Let g(b) = x*i(b) - 2*u(b). Solve g(s) = 0 for s.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 34\/5 of a millimeter?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + -4 + 7 - (-2)\/8.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1197340, 1197341, 1197342?\nAnswer: 1197343","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (-4 + 7 + (-1 - 8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b**2 + b + 1. Let l = -122 - -131. Suppose -17 = 4*d - l. Let a(r) = -r**2 - 6*r + 1. Let y(h) = d*a(h) - 4*x(h). Determine q so that y(q) = 0.\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of -w**5\/4 - 7*w**3\/6 - 7*w**2\/2 - 263*w. Let k be s(-1). Solve k*m + 12 = 2*p, 5*p + 10 = -3*m + 9*p for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) = 2497*c**3 - 2*c**2 - 18*c - 3. Let k(w) = -4994*w**3 + 4*w**2 + 30*w + 5. Determine -5*d(t) - 3*k(t).\nAnswer: 2497*t**3 - 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence zt when two letters picked without replacement from {t: 1, r: 4, e: 1, j: 4, z: 2, x: 2}?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/7 (b) 0.8 (c) 0.19 (d) 12 (e) 3\/22 (f) 61\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*z - 45*z = 0. Suppose -3*w - 2*c = z, c = 2*w - 0 + 7. Put 0.1, 1, w, 0.8 in descending order.\nAnswer: 1, 0.8, 0.1, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 5*f - 1 + 1 - 4 - 2. Let a be n(2). Suppose k + 10 = a*s - 15, -k + 20 = 5*s. Solve s = -2*l + 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1.01 - -0.91. Let q(n) = -n**3 - 5*n**2 - 5*n - 2. Let a be q(-3). What is the nearest to k in a, 0.1, 0.2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence er when two letters picked without replacement from erceerrrrreeerercer?\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = 9*o + 69. Suppose 0 = -3*x + 3*m - 4*m - 16, -8 = -x - 3*m. What is b(x)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-2)\/(-4)*(1 - 3). Suppose -a - 2*v - 3 = 0, 2*v = -3*a + 3 + 4. Put -5, a, u in descending order.\nAnswer: a, u, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*l - 2*l**3 - 5 + 2*l**2 - 12*l + 17*l to v*l + c + u*l**2 + r*l**3 and give r.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ede - -4?\nAnswer: -2eda","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 7 = -12. Suppose 4*i = f*d + 3*i - 4598, 2*d = 2*i + 1844. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*r - 186353 = 3*v, r - 13*v = -10*v + 37273. List the prime factors of r.\nAnswer: 2, 5, 3727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -4*d - 9. Give s(3).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -4 (b) -2\/5 (c) 535\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from gppgegkgagggpagp. What is prob of picking 1 e, 1 g, and 2 p?\nAnswer: 12\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4a (base 13) to base 4.\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 10.48156l?\nAnswer: 10481.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16 + 196 - 50 - 162 + 2*c.\nAnswer: 2*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.4 - 2.8. Let x = i - -2. Let v(f) = -2*f**2 + f + 1. Let b be v(2). Sort b, x, -1 in decreasing order.\nAnswer: x, -1, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 4 + -7. Let h = 0.2351 + 0.0649. Let y = -15 - -18. Put k, y, h in increasing order.\nAnswer: k, h, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*n**3 - 1520*n**2 + 1204*n - 240 = 0 for n.\nAnswer: 2\/5, 60","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*m + 12, 5*m = -2*n + 233. Solve -105*v = -n*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00006466 to 5 decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4520825571 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (f**2 - 2*f**2 + 3*f**2)*(-f - 4*f + 3*f) - 1 + 2*f**3 - 3*f**3 - 10*f - 180124*f**2 + 180126*f**2.\nAnswer: -5*f**3 + 2*f**2 - 10*f - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mmmmmumum. What is prob of picking 1 u and 1 m?\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 2*m - 1192, m - 593 = 9*i - 12*i. What is the hundreds digit of m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 174703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (24\/(-20))\/(4\/10). What is the units digit of 2\/u - (-265)\/15?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (25 - 17 - 8) + 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 - (-2 + 1)) + -4. Let w(y) = 9*y**3 - 5*y**2 + 5*y - 5. Let b(v) = -8*v**3 + 4*v**2 - 4*v + 4. What is a*b(q) + 4*w(q)?\nAnswer: -4*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -13 - -6. Let j = u - -12. Which is the biggest value? (a) j (b) -1 (c) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5531234 to the power of 1\/8, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: ((-352)\/(-440))\/(62\/(-15))\nAnswer: -6\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (22 + -34 + (-34 + -22 - (6 + -2)))\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*c*n*z**2 + 17*c*n + 5*c*z + 2*n*z**2 + 3*n - 35*z**2 wrt c.\nAnswer: -2*n*z**2 + 17*n + 5*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(25*90\/100).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(1008) + 4 - (2 + 1*sqrt(1008) + sqrt(1008))) + 2 + (sqrt(1008) - 1*sqrt(1008))*6 + -1*(sqrt(1008) + sqrt(1008)*2))**2*-6.\nAnswer: -96918 + 2880*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 49 divided by -54467\nAnswer: -7\/7781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1098 by -15844.\nAnswer: -549\/7922","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (51 - -1) + 0 - (-3 + -29 + 17 + 9).\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6521.\nAnswer: 6521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 418 - 194. Let w = 376 - f. Is 4 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -274, -1091, -2456, -4369, -6830, -9839, -13396?\nAnswer: -17501","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -14*y + 102. Let h be f(7). Let m be -6 + 2 + h + 4. Which is bigger: 2\/105 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*k + 10 = -2*k. Let m be k + 35\/(-2)*-2. Suppose q = u + 3*u - 4, -u = -5*q + m. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3676 + 3651. Sort 0.1, -1\/8, s, -5, -1\/2 in increasing order.\nAnswer: s, -5, -1\/2, -1\/8, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-four fifths of a decade in years?\nAnswer: 68","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0 + 0)\/(-2). Suppose l = v - 3*y + 6, v - 6*v = 2*y - 21. Solve v*c - o = o + 21, 5*c = 3*o + 34 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -8*g**2 - g**4 + 5*g**2 - g + 0*g**2 - g**3 to the form n*g**4 + m*g**3 + p*g**2 + f + b*g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 911677*o**2 - 611414*o - 2 wrt o.\nAnswer: 1823354","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1111 + -1100?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 + 4\/6 + 3448\/(-3879)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -40*i + 3356 = -4125 + 5681 for i.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -974744 divided by 960?\nAnswer: -121843\/120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 693 minutes after 3:42 PM?\nAnswer: 3:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 35\/15 + (-2)\/(-3). Let f(k) = 4 - 4 + 4*k - o*k. Let s(w) = -4*w**2 - 2*w + 1. Let u be s(1). Calculate f(u).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z**(-5)*z)\/z)\/z**(2\/7)*(z*z**(-1\/3))**(-40))**(-18) assuming z is positive.\nAnswer: z**(4026\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 378 and 602658.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -103 - -425. Let b = d + 683. List the prime factors of b.\nAnswer: 3, 5, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) be the third derivative of -z**5\/60 - 7*z**2. Let y(m) = 4*m**2. What is y(g(p))?\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 219554\/279 or 786?\nAnswer: 219554\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = 5*y**2 + 42*y - 45. Let n be v(1). Solve -p - 77 = -80, -n*l + 1 = -p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6 + 11 - 2*f - 4 + (-1 + 2 - 2)*(1352*f - 11142 + 11142) to the form m*f + g and give m.\nAnswer: -1354","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.134 in -0.1, 2, -1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*2*((-2*sqrt(225)*-1 - sqrt(225)) + sqrt(225))\/(sqrt(30)\/(-3*sqrt(6))).\nAnswer: 72*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2031, -1, 6, -3 in descending order.\nAnswer: 6, -1, -3, -2031","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -110 - -132. Calculate the highest common divisor of 2 and y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -252*q - 7550. What is the thousands digit of j(-104)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 91\/18 and -37\/8216388.\nAnswer: 8216388","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -212022 (base 3) to base 4\nAnswer: -21311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = g**2 - 503*g - 104437. Determine f(-158).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 5218712?\nAnswer: 5218712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 119 is divided by 17\/(833\/(-42)) + (-372)\/(-42)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 - (34 - 1 - 5).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 3 (b) -2\/9 (c) 0.426\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 4*z + 29 = 0, 5*f - 3*z - 45 = 2*z. Suppose -10*b - 705 = -f*b. Suppose -b = -3*o + 209. What is the tens digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bybbgtbytybgyytyybbb?\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -977 + 1950. What is the remainder when m is divided by 479?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -h**2 + 7*h**3 - 10*h**2 - 6*h**2 + 5 + 5*h**2 - 2*h. Let l(c) = -4*c**3 + 6*c**2 + c - 2. Let p(i) = 5*l(i) + 3*w(i). Determine p(6).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o**3\/5 + 62*o**2\/5 + 187*o\/5 - 522 = 0. Calculate o.\nAnswer: -58, -9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -935, -1873, -2811, -3749, -4687, -5625?\nAnswer: -6563","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (264\/320)\/(4*2\/40) and 101\/666?\nAnswer: 2664","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 90078?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssssjss. Give prob of sequence ss.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**17*l*l\/(l**(2\/9)\/l)*(l\/l**(2\/31))\/l**7)**(14\/9) assuming l is positive.\nAnswer: l**(53564\/2511)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 5\/6 + 6\/(-9). What is the closest to -1\/2 in f, -3\/7, 4\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.002227 rounded to three dps?\nAnswer: 0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 28? (a) 1\/3 (b) 2 (c) -8\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 7) to base 12\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 44 and 5709.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 28453 to the power of 1\/3, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 1037 - 4659066.742?\nAnswer: -4658029.742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(8) + -2*(sqrt(8) + 2) - (sqrt(88) - sqrt(88)*1)\/sqrt(11)) + -3 + 1*sqrt(8)*5 + sqrt(8) + 0)**2.\nAnswer: -140*sqrt(2) + 249","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of c**4*q + 5*c**4 - c**3*q + 22*c**2 - c + 6*q wrt c?\nAnswer: 24*c*q + 120*c - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from jjljjrlljjjljjjjl?\nAnswer: 55\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = 3 + 0*f - 3*f - 2 + 2*f**3. Let s = -56 + 19. Let q = -35 - s. What is h(q)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/9 (b) 6\/131 (c) 2\/3 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-69)\/(-15) - 6\/(-15). Suppose -3 = -v*a + 7. Suppose 0*t + a*t - 1800000 = 0. Round t to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*q + 5*x - 6 = 0, 5*q - 862*x = -860*x - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-5)\/(-2))\/(11\/(-22)). Is t\/(35\/2) - 4572\/(-28) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3035707*x**2 - 2532785*x**2 + 1096307*x**2.\nAnswer: -4472185*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 130 = -8*l. What is the smallest common multiple of 4 and l?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1459535 is divided by 486495.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 8 and 47\/227.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 5\/4, -9, 1\/25, -0.16, 1, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pww when three letters picked without replacement from eeepwwzglwlz.\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-14)\/4 + 3\/(-6). Let c(x) = -x**3 - 5*x**2 - 3*x + 9. Let o be c(u). Find the second derivative of -43*p + 50*p - 4*p**2 + o*p**4 + 4*p**2 wrt p.\nAnswer: 60*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 4*w + 14 = 0, w + 0 = -2*s + 8. Calculate the greatest common factor of 3 and s.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*n - 2*c = 19*n, 1081 - 1121 = -5*n - 2*c for n.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 984619\/26 + -37870. Let d = 6.3 - 6. Put x, -2, d in decreasing order.\nAnswer: d, x, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(1872) + sqrt(1872) + (sqrt(1872) + 1 + -2)**2.\nAnswer: 1873","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**3 - 10*g**2 + 15*g - 33. Suppose 0 = 3*q - 2*q - 11. Is l(q) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = o**3 - o**2 - 22*o + 62. What is d(-5)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 1\/((-26)\/14 - -2). Let z be u\/(-28) - (-19)\/12. Let h = -1 - -2. Which is greater: h or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -25661080 + 54661081. Suppose 3*i + 2*i + 28999995 = -5*t, -j = 5*i - t. Round i to the nearest 1000000.\nAnswer: -6000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -202*h + 3860815 = 33*h. What is the hundreds digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 1, 4\/5, -4, 1\/5, -3 in decreasing order.\nAnswer: 1, 4\/5, 1\/5, -3, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.5, 3\/2, 0.02, 0.2?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -1.5 times -7.5\nAnswer: 11.25","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (s\/(s\/(s*s**(-1\/8)))*s\/s**(-1\/2))**(1\/3) assuming s is positive.\nAnswer: s**(19\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = f**3 - 8*f**2 + 3*f + 1. Suppose 0 = -3*l + 7*l - 20. Let a be i(l). Let n = 102 + a. Calculate the remainder when n is divided by 15.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -1.46 and 0.2.\nAnswer: -0.292","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 30 + -148\/5. Let d = -0.3 - -0.1. Which is the nearest to 1? (a) d (b) -3 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b = g + 97, -4*b - 4*g = -13 - 95. Suppose 5443 = b*h - 2710. Calculate the remainder when h is divided by 91.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**2 + 19*k - 46. Let l(h) = -7*h - 21. Let q be l(-5). Let z be c(q). Let o(b) = b - 24. Let d be o(z). Solve 4*i + 0*i = d for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 98197 divided by -4.\nAnswer: -98197\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**4\/3 + 20*w**3\/3 - 4*w**2\/3 - 20*w\/3.\nAnswer: 4*w*(w - 1)*(w + 1)*(w + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -7561.08 times 0.6?\nAnswer: -4536.648","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242) + -1 + 2)*4)**2 - (4*(4 + sqrt(162)*4))**2)*1.\nAnswer: -37840 - 4256*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 377 a factor of 49009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of -50*r**4 - 257*r - 43. What is the derivative of n(d) wrt d?\nAnswer: -600*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000002445 to seven decimal places.\nAnswer: 0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13*h + 12*h - 775 = 0. Solve 23 = -j + 5*v - 0*v, -5*v + h = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 168 and 1054584.\nAnswer: 7382088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = 7*w. Let d(i) = 3*i**2 - 2. Let r(u) = -48*u**2 + 33. Suppose -6*k - 163 = -175. Let j(a) = k*r(a) + 33*d(a). Determine y(j(s)).\nAnswer: 21*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.28 + -0.38. Let t = -0.1 + 0.2. Is t at least n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 90 - 94. Let c be (1 - 0) + (-1 - d). Suppose -c*y + 3 - 7 = -4*j, 0 = -3*y + 5*j - 5. Solve x + x - 8 = y for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 2234, 2251, 2294, 2375, 2506?\n\"Answer: 2*y**3 + y**2 + 2231","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 + 6. Let y(o) = o**3 + o**2 - 2*o + 2. Let v be y(-3). Let z = v + 10. Determine a(z).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -4*x - 6. Let s be a(6). Let b be (-22)\/(-4)*(-4 - -2). Let o = b - s. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -132.6 + 133. What is the second biggest value in 5, 12, r?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 44.3 to the nearest 100.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*b + 34*b - 62*b + 32 in the form h + p*b and give h.\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -172 times 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -37.24 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find l, given that 15*l**5 + 1955*l**4 + 26790*l**3 + 37670*l**2 - 163605*l + 97175 = 0.\nAnswer: -115, -13, -13\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 382599*n - 382520*n = 2*w - 237, 5*n + 15 = -2*w for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 6*u**2 - 38*u + 237. What is the hundreds digit of z(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 528*v - 4. Let o(w) = 1588*w - 13. Determine -2*o(m) + 7*x(m).\nAnswer: 520*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 125 - 533*r + 128 + 128 - 502 + 125 in the form t + l*r and give t.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 327 and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -2*s + 4. Let k(b) = -7*b - 112. Let u be k(-11). Sort s, u, -2 in descending order.\nAnswer: s, -2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wt when two letters picked without replacement from {t: 6, w: 3, y: 3, k: 1, d: 4, u: 1}.\nAnswer: 1\/17","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 - 5634*o + 1246300.\nAnswer: 2*(o - 2575)*(o - 242)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 50 = -5*r, -3*z = r - 2*z - 12. What is the remainder when 2\/4*124\/2 is divided by r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67995.72 micrometers to millimeters.\nAnswer: 67.99572","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7.468996l to millilitres.\nAnswer: 7468.996","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -46*i**2. Let v(b) be the first derivative of 34 + 17*b**2 + 44*b**2 - 60*b**2. Determine v(k(l)).\nAnswer: -92*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3 + 2. Let l be (-5)\/d + (0 - 2). Suppose l*s = 2*s + 4. What is the greatest common factor of 44 and s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 3, q: 3, w: 12}. What is prob of sequence waqw?\nAnswer: 11\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = 17*y + 117. Let h be t(8). Let z = h - 258. Let r(m) = -2*m**3 - 10*m**2 - 4. Calculate r(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**6\/120 + g**4\/8 - 3*g**2. Let i(m) be the second derivative of r(m). Let s(y) = -y**2. Calculate i(s(a)).\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -889, -878, -853, -808, -737, -634, -493, -308?\n\"Answer: g**3 + g**2 + g - 892","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes after 6:16 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1282 + -1075. Solve -182 = 5*g - y for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 181876636.\nAnswer: 2, 3019, 15061","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 7534 to the power of 1\/6, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 4*u + 1059 - 2298 = 0, b + u - 413 = 0. Are 416 and b equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*y + 564978592 + 564978591 - 1129957183.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 5:57 AM?\nAnswer: 42","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -0.00180922.\nAnswer: -0.00723688","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -8 + 12*q - 20*q**2 + 69*q**2 - 20*q**2 - 28*q**2. What is the units digit of y(15)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -5\/74 > 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = -i - 1. Let h be g(-5). Let v(z) = -z**3 - z**2 - 1. Let x(a) = 6 + 4*a**2 - 7*a**3 - a**3 + 4*a**3 + 9*a**3. Determine h*v(u) + x(u).\nAnswer: u**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or 1.62?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 11*n - 11*n + 9*n**2 + (3*n - n**2 - 3*n)*(2 + 0 - 1) + n**2 + 0*n**2 - 2*n**2.\nAnswer: 7*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {m: 4, u: 1, e: 2, c: 1}. Give prob of picking 1 e, 2 m, and 1 u.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 6*x**2 - 3809. Let g(t) = 192*t. Calculate g(s(a)).\nAnswer: 1152*a**2 - 731328","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/22840 and 43\/1452624?\nAnswer: 7263120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:36 AM and 2:11 PM?\nAnswer: 155","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is i in -3*i**5\/4 + 3*i**4\/4 + 51*i**3\/4 + 57*i**2\/4 - 12*i - 15 = 0?\nAnswer: -2, -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -5 + 0. Let l = 0 + -4. Let z be (-4 + 1)\/((-6)\/l). Which is the closest to -1? (a) o (b) z (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 753\/(6*1\/8). Let l be (-4)\/(-14) + (-774)\/63. What is the units digit of u\/16 - (-9)\/l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -6*y**3 - y**2 + y - 1. Let b be r(1). Let s = -7 - b. Solve 2*g - 6*g = 2*a - 20, s = 5*g - 15 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 4*a - 21 - 3, -5*a - 4*w + 21 = 0. Suppose -5*f + 3*f + 2 = 0. What is the smallest common multiple of f and a?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*h = 0, -h - 3*h = -4*a - 16. Let w(i) = -456*i**2 + 2*i + 4. Let z be w(a). What is z rounded to the nearest one thousand?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -7 by 121043.\nAnswer: -7\/121043","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-a + 0 + 0)*(0*a + 4*a - 3*a) + 2*a**2 - 60 + 29 + 27 to k + h*a + o*a**2 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 29250.\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(-8\/3)\/w**(2\/19))\/(w**(2\/3)*w)**(-4\/7) assuming w is positive.\nAnswer: w**(-242\/133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20825?\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -146231*w + 877300. Determine z(6).\nAnswer: -86","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -236*p**2*q**2 + 15*p**2 + 2*p*q**2 + 336*q**2 + 241534 wrt q?\nAnswer: -472*p**2*q + 4*p*q + 672*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 o when four letters picked without replacement from {o: 3, l: 1, z: 5}?\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -1 - 2*x - 2*x + 7*x - 4*x. Let b(o) = o - 1. Let s(f) = -3*b(f) + 6*j(f). Give s(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 u when three letters picked without replacement from {z: 4, j: 1, x: 6, u: 5}.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -53181 by 5.\nAnswer: -53181\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4502377588 to the nearest integer?\nAnswer: 1651","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 - 21*v**2 + 21*v + 13. Calculate k(-22).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 6306 or 6308?\nAnswer: 6308","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -54 (b) 0.5 (c) 0 (d) -2\/11 (e) 0.27094\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**3\/5 - 8*a**2 + 413*a\/5 - 1274\/5.\nAnswer: (a - 26)*(a - 7)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 147513?\nAnswer: 3, 49171","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(1372) + sqrt(1372) - sqrt(1372))\/(-4*sqrt(324)).\nAnswer: -7*sqrt(7)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.226 + -0.426. Let a = 1045\/234 + -109\/26. Let n = a + -2\/39. Sort y, 1, n in descending order.\nAnswer: 1, n, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01239458 to five decimal places.\nAnswer: 0.01239","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o - 3 + 3 for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*m**3 + 33*m**2 + 13*m**2 - 2*m**3.\nAnswer: m**3 + 46*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 28558.17 litres in millilitres?\nAnswer: 28558170","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -12.981 to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is (3573\/(-12))\/(3\/(-20)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 2 = 3*i, 2*i + 8 = -0*i. Let f(r) = -r**2. Give f(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -18, -49, -80, -111, -142, -173?\n\"Answer: -31*k + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1*8\/(-40) + 293\/(-40) and -27\/7?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-73 - 485*s + 40 + 33 - 1147*s)*(-3*s**3 + 2*s**2 - 2*s**2) to the form u + z*s**2 + p*s**3 + m*s**4 + f*s and give m.\nAnswer: 4896","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = -30*a**2 - 21*a. Let g(i) = 3*i**2 + 2*i. Calculate 2*f(m) + 21*g(m).\nAnswer: 3*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and 2\/408796661 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = 5*c**3 + 20*c**2 + 20*c - 20. Let x be (48\/1)\/(-8) + 3 - 0. Let b(i) = i**2 + i - 1. Determine x*w(o) + 60*b(o).\nAnswer: -15*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f - 10. Let k be 12*2*3\/(-12). Let u = -4 - k. Suppose -4*w = -u*w. What is m(w)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/10790 and -9\/26860?\nAnswer: 28981940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -96, -98, -94, -78, -44, 14, 102, 226?\n\"Answer: x**3 - 3*x**2 - 94","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1d320 (base 14) to base 6\nAnswer: -1333504","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.444717891 and 0.007.\nAnswer: -0.437717891","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = z**2 + 7*z + 12. Let l be o(-5). Let s(m) = 5*m - 634 - l*m + 668. Let d be s(-12). Which is bigger: d or -14\/13?\nAnswer: -14\/13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1903*t**4 + 1409.\nAnswer: -7612*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*h**3\/11 + 68*h**2\/11 + 1194*h\/11 - 4140\/11 = 0. What is h?\nAnswer: -15, 3, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + -4 + 1 + 4.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 + 9*o + 26. Calculate d(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1314 is divided by 94.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34770 = 3*x - 9*x. Let h = 662 - x. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -g**3 - 22*g**2 - 21*g.\nAnswer: -g*(g + 1)*(g + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 57, 1\/5, -3\/8?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 53717767 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 16 = 4*x - 7*u, 51*x - 47*x - 5*u = 8. Which is the nearest to 2\/3? (a) x (b) 20 (c) 0.1 (d) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -3*q + 6. Let y(o) = 3*o - 7. Let h(v) = 5*i(v) + 4*y(v). List the prime factors of h(-3).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t - 709 = -2*n, 33*t - n + 2137 = 36*t. List the prime factors of t.\nAnswer: 23, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -4963661, -4963645, -4963595, -4963493, -4963321?\n\"Answer: 3*q**3 - q**2 - 2*q - 4963661","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*f - 5 + 20. Let s(d) = 5*d**4 + 8*d**3 + 14*d**2 - 11. Let r(i) = -3*i**4 - 5*i**3 - 9*i**2 + 7. Let l(n) = f*s(n) + 8*r(n). Factor l(m).\nAnswer: (m - 1)**2*(m + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of b**4\/4 - 4*b**3\/3 + 12*b**2. Let t be d(4). Calculate the highest common divisor of 64 and t.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -35*u - 189. What is the remainder when 55 is divided by q(-6)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8976139 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 7, s: 1, a: 1, o: 4}. Give prob of sequence ia.\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -66 = 46*c - 47*c. Calculate the lowest common multiple of c and 18.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -52245 divided by -6.\nAnswer: 17415\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**0)\/h)**(1\/14)\/(h*((h\/h**(3\/4))\/h)\/h*h**5\/h))\/(h\/h**9*h**(-2))**(4\/5) assuming h is positive.\nAnswer: h**(19\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22077*c + 43008?\nAnswer: -22077","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/6 - (-1 - 3341). What is the remainder when 59 is divided by 2\/(-17) - v\/(-221)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1061*r**2 + 902*r**2 + r + 992*r**2 - 374*r**2.\nAnswer: 2581*r**2 + r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -3, -42, 5, -26819, -1 in increasing order.\nAnswer: -26819, -42, -5, -3, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 43734181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -6*h**2. Let j(c) be the third derivative of -73*c**5\/10 - 149*c**2 + 3*c. Calculate z(j(y)).\nAnswer: -1151064*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = 2*v**2 - v - 2. Let w(h) = h**3 + 5*h**2 - h - 5. Let z = 22 - 7. Suppose 4*q = q - z. Calculate q*m(c) + 2*w(c).\nAnswer: 2*c**3 + 3*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -8*t**5 - 28*t**4 + 40*t**3 + 100*t**2 + 8*t - 32 = 0. What is t?\nAnswer: -4, -1, 1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 17.12746 rounded to 1 decimal place?\nAnswer: 17.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = -5*b - 89, 14*p - 26 = 12*p - 5*b. Let g(j) = j**3 - 23*j**2 + 2*j - 64. Give g(p).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ww when two letters picked without replacement from {i: 10, w: 10}.\nAnswer: 9\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*s**5 + 149*s**2 + 39*s**2 + 531*s**2 - 58*s**3 - 1 - 158*s**2 + 765*s**2 wrt s?\nAnswer: -300*s**2 - 348","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.3, -2, -44, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = -2*g**2. Let i(d) = -11. Let a(t) = 5. Let y(r) = 4*a(r) + 2*i(r). Let l(s) = 27*s - 36. Let k(n) = -l(n) + 18*y(n). Calculate o(k(j)).\nAnswer: -1458*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: d1dd (base 15) to base 3\nAnswer: 2020210001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-58)\/(-30) - (-4)\/(-12). Let z = -1364.4 - -1364. Which is the third smallest value? (a) 0.1 (b) o (c) z (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 56948, 113887, 170826, 227765?\n\"Answer: 56939*h + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.5 take away 462257226?\nAnswer: -462257224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - -16.94764?\nAnswer: 14.94764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1.7 times -84630\nAnswer: -143871","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*k - 23 = 3*m - 5*k, 5*m + 2*k + 13 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 6, z: 13}. Give prob of picking 4 z.\nAnswer: 715\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*h + c + 10, -2*c + 3*c - 14 = -3*h. Let u be 1\/(h\/(-2) + (-7)\/(-3)). Solve -4*l + q = 19, -12 = u*l - 0*l - 3*q for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (7 - (-3 + 8))\/(3 + -1). Solve -2*q + 4*y - 3 = s, -3*q + 2*y - 10 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = 5*b - 5*d, 5*b - 10 = 3*b - 2*d. Let r be 14\/(b + (-2 - -2)). What is the derivative of 0 - 1 - 1 + 0 + r*o**2 wrt o?\nAnswer: 14*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-15)\/(-25)*(-1)\/3?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -29966*k**2 + 1134793*k - 1?\nAnswer: -59932","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((sqrt(1088)*-2)**2 + -3) + (sqrt(272)*-1*-4)**2 + sqrt(272) + -4.\nAnswer: -4350 + 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 213711, 427497, 641283, 855069, 1068855, 1282641?\n\"Answer: 213786*f - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -144095 divided by -23?\nAnswer: 6265","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 3*b = -986, 7*n + 2*b + 494 = 8*n. Suppose 3*k = 2*z + 3710, 3*k + n = -3*z + 4180. What are the prime factors of k?\nAnswer: 2, 617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) be the second derivative of -u**7\/504 - u**5\/20 + u**4\/3 + 4*u. Let m(k) be the third derivative of b(k). Find the first derivative of m(d) wrt d.\nAnswer: -10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 664*x**2 + 286219*x + 267270759.\nAnswer: 1328*x + 286219","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4185 at least as big as -20?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 2*r = -27 - 13, -5*r + 12 = i. Let l be ((-16)\/i)\/(-4) + 25318\/22. Suppose l = 8*c + 31. Is c a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3803?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4.97 - -0.03. Let w = 21.8 - -0.3. Let u = w - 22.2. Which is the closest to -1? (a) u (b) p (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000046874 to seven decimal places.\nAnswer: -0.0000047","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 + 5661d?\nAnswer: 56621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pl when two letters picked without replacement from {e: 3, l: 1, p: 11}.\nAnswer: 11\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -278*x - 3511 - 3402 + 241 = 0 for x.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3867529?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -245397 - -124416217\/507. What is the common denominator of c and 2?\nAnswer: 507","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 116 is divided by 39.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -23039 at most as big as 4361?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 1 i when two letters picked without replacement from xoiio?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 4 - -26?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = 2*f + 5. Let s be t(-8). Let r be (-2)\/s + 1672\/121. Calculate the greatest common factor of 126 and r.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = m**2. Let k(f) = 3823*f**2 - 13*f - 2. Calculate k(a(s)).\nAnswer: 3823*s**4 - 13*s**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 551563 (base 7) in base 13?\nAnswer: 35005","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 16.85 to 0 dps.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 82, 171, 270, 385, 522, 687, 886?\n\"Answer: a**3 - a**2 + 85*a - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*u - 9 = -3*r, 0 = -3*r - 202 + 217 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9561 + 9565. Suppose -5*s + 40 = 4*o, 23 = 4*o + 2*s - 5. Sort o, 2, -2, j in descending order.\nAnswer: o, j, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 14*k**3 + 3*k**5 - 14*k**3 + (-2*k**4 - 4*k**4 + 4*k**4)*(-2 + 3*k + 2) - k**5 + 2*k**5 + k**5 + k**3 + 0*k**5 + k**3 + 2*k**5.\nAnswer: k**5 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 0.0668801l?\nAnswer: 66.8801","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 146 - 87. Let j = r + -34. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*t**2 - t**2 + 2*t**2 + 5*t**2 - 3*t**2 + 3*t**2 + (-t + 0*t - t)*(2*t + t - 4*t) + 1 - 3*t**2 + 3*t**2 - t**2.\nAnswer: 4*t**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.4*1.09.\nAnswer: -0.436","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 177974.\nAnswer: 2, 23, 53, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 60 and 2695.\nAnswer: 32340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -19 and -1.8?\nAnswer: 34.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fee when three letters picked without replacement from eqfeqfqeeqww.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c = -4*r + 10, 98*r - 14 = 5*c + 94*r for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s + c + 2 = 0, 3*s = 8*s + 16*c - 79 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -b + 1. Let i(f) = 2. Let m(n) = -1. Let d(c) = -3*i(c) - 4*m(c). Calculate d(s) + 2*l(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 10807035 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of 0*q**3 + 1\/12*q**4 + 0 - 91*q + 0*q**2. Let w(x) = x + 2. What is w(d(b))?\nAnswer: b**2 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 128 minutes after 4:38 AM?\nAnswer: 6:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: (((-35)\/(-7))\/(-15))\/(440\/72 + -6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 2239200 divided by -80\nAnswer: -27990","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 14 = 5*i - 2*q, 5*i + 5*q = 10. What is the derivative of 0*t**3 + i + 1 + t**3 wrt t?\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 137.5 - -78.426121055.\nAnswer: 215.926121055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 64, 0.92, -0.1?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 14 = -2*b, 2 = -4*n - n + 4*b. Let f(s) = -8*s + 18*s - 4*s + s**n - 5*s. Let z(h) = -h**3 + 5*h**2 + 5*h. Give 5*f(j) - z(j).\nAnswer: j**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 76 + -79. Put n, 2, 2\/17, 1\/7 in decreasing order.\nAnswer: 2, 1\/7, 2\/17, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 113061 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 5 + 3)*(-3*l - 12 + 12)*(-4 - 20 - 32 - 30) to the form h*l + c and give h.\nAnswer: -1032","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of m**2*t**2 + 355848800*m**2*t - m*t**2 + 1842797*t**3 + t**2 wrt t.\nAnswer: 2*m**2 - 2*m + 11056782*t + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, m: 1, i: 2, u: 2, a: 1}. What is prob of sequence dmi?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1014466 and 875830.\nAnswer: 1890296","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3385581g in kilograms?\nAnswer: 0.0003385581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 418899397?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -251*i + 115*i + 15508 + 3446 = 215*i for i.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -6, 5, -4, -25370, -2 in descending order.\nAnswer: 5, -2, -4, -6, -25370","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*x**2 - 30258 + 30258.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -87 + -75?\nAnswer: -151","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (9 - -149)\/(-1)*(-90)\/20. Is z at most as big as 721?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5589.895 days in milliseconds?\nAnswer: 482966928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = 1319*i**2 - i - 2. Let g(j) = 14*j**2. What is o(g(m))?\nAnswer: 258524*m**4 - 14*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 9.7941069 + -0.1\nAnswer: 9.6941069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.5704 - -0.4296. What is the fifth smallest value in -5, 0, -2, w, -1\/2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 662571 and 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 25 a factor of 163651160?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 198 - 196. Let h(z) = -3*z. Let s(d) be the second derivative of 7*d**3\/3 + 11*d. Let a(k) = m*s(k) + 11*h(k). Let v(o) = 2*o. Determine a(v(p)).\nAnswer: -10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7513712 and 8952.\nAnswer: 22541136","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -2073, -14209, -47127, -111219, -216877?\n\"Answer: -1732*h**3 + h**2 - 15*h - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 4*y**3 + y**2 - 3*y - 2. Let t(d) = -13*d**3 - 18*d**3 - 3 + d**2 + 38*d**3 - 5*d. What is -5*r(a) + 3*t(a)?\nAnswer: a**3 - 2*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*u - u + 0*u)*(-2*u**3 - u**3 + 0*u**3) - 29*u + 29*u + 35*u**4 + (u**3 - 4*u**3 + 2*u**3)*(0*u + 2*u - 3*u).\nAnswer: 39*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -11640 to the nearest one thousand.\nAnswer: -12000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -435 - -374. Let t = w - -74. What is the remainder when t is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 2 (b) -27 (c) 17991\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1 - -3 - (-8 + -1). Suppose f - 4*h - h = -l, 0 = 3*h - 3. Let a be (-24)\/4*8\/f. Calculate the greatest common divisor of a and 56.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -36316, -145257, -326822, -581011, -907824, -1307261, -1779322?\n\"Answer: -36312*x**2 - 5*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 603261 (base 16) in base 9?\nAnswer: 12767846","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 10933339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*i + 4*i. Let m(o) = -o**3 - o**2 + o + 17. Give m(i).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.01 - -1.99. Let a be (4\/3 - 2) + 10\/60. Put s, a, -3 in decreasing order.\nAnswer: s, a, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 bigger than 393?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.2 - 0.3. Let z = 4 + -2.5. Let u = 1 - z. Which is the nearest to -1? (a) u (b) i (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17 divided by 1259815\nAnswer: 17\/1259815","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -86*n**4 + 62*n**4 - 79*n**4 + (-n**2 + 2*n**2 + n**2)*(26*n + 7*n**2 - 26*n) as a*n**3 + g*n + q + y*n**2 + k*n**4 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(17) + 1*1*sqrt(17) - (-2*sqrt(51))\/sqrt(3).\nAnswer: 4*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = 5*i - 33 + 3, 5*o = 0 for i.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 67 = -3*m, 20 = 5*m - w - 55. Suppose -2 = -4*b - m. Calculate the least common multiple of 6 and b + 0\/5 + 7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 444512 divided by -8.\nAnswer: -55564","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3343666 and 12.\nAnswer: 20061996","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - t + 28 = 0, -6*n + 3*n = -4*t + 10. Let m be n - (-2 + 1\/1). Let g = m - -17. What is the remainder when g is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 54*y + y**3 - 59*y + 40*y**2 + 114*y - 2*y**3 to the form o + a*y**2 + k*y**3 + x*y and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 12\/11*(-970)\/2910\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.4 bigger than 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 + s)*(13*s**4 - 67*s**4 + 2*s**4)*(-2 + 3 + 1).\nAnswer: -104*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 3, p: 1, t: 3, j: 1, o: 3}. Give prob of picking 2 w.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30535, -61069, -91613, -122173, -152755, -183365, -214009?\nAnswer: -244693","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 m, 1 r, 1 q, and 1 j when four letters picked without replacement from {j: 1, i: 1, r: 1, m: 1, q: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a litre in millilitres?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(17)*4)**2 + (sqrt(51)\/sqrt(3) + -2 - sqrt(17)).\nAnswer: 1086","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5544545 (base 8) to base 16.\nAnswer: -16c965","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1461 (base 15) in base 6?\nAnswer: 32114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 17955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 23*s**2 - 6*s + 8. Let i(p) = 17 - 8*p**2 - 20 + 2*p + 0*p. Let x(c) = -6*a(c) - 17*i(c). Let w(t) = -t**3 - t**2 + t + 1. Determine -2*w(f) + x(f).\nAnswer: 2*f**3 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -b**3 + 12*b**2 - 13*b + 10. Let j be f(11). Let g = 17 + j. Let r be g\/((-3)\/144 - 0). Round r to the nearest one hundred.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = k**2 + 3*k - 106. Let p be w(19). Suppose -q + 27*q - p = 0. Let g(b) = b - 10. Give g(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.239 and 5945?\nAnswer: 5944.761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 30551 - 30576. Let d(s) = s**3 + 25*s**2 - 2*s - 63. Determine d(f).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 118, 79, 40, 1, -38, -77?\nAnswer: -116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -39*q - 58 = -38*q - 5*x, 5*x - 26 = 17*q for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = 204*j**3 - j**2 + j + 2. Let d be s(-1). Let h = d - -286. Let n = 95 + -74. What is the remainder when h is divided by n?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13658 = 3654*t - 16169 - 43253 for t.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 34 - 32.3. Let c = 10.7 - y. Let k = c + -8.56. What is k rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 11304\/144 - 2\/4 and 96.\nAnswer: 1248","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -36*y**2. Let z be t(-1). Let b = z + 97. List the prime factors of b.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 25*p**5 - 5*p**4 - 75*p**3 - 35*p**2 + 10*p = 0.\nAnswer: -1, 0, 1\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 14 + (0 - -2) + -144 + 140\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y**(2\/11))\/y)**13\/(y**8\/(y\/(y*y**(2\/15)\/y))) assuming y is positive.\nAnswer: y**(-787\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4\/3*(-9)\/(-6). Let m = 5 - 7. Let p = -2 - m. Is p not equal to v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1223304810 rounded to the nearest one hundred thousand?\nAnswer: 1223300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2732211334.\nAnswer: 2, 757, 1804631","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gp when two letters picked without replacement from {g: 1, l: 1, p: 1, q: 2, n: 1, x: 2}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25*k**3 + 144*k**3 + 21*k**3.\nAnswer: 140*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/8 and -89\/53196?\nAnswer: 106392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = 3*n. Let c(i) = -i**3 - 4*i**2 + 6*i + 15. Determine 2*a(d) - c(d).\nAnswer: d**3 + 4*d**2 - 15","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-10))\/((-144)\/(-240)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -6, -11, -12, -3, 22, 69, 144?\n\"Answer: f**3 - 4*f**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 823446 a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 749.8494ng?\nAnswer: 0.0000000007498494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.4, -3, 3299, 5, -2, -5\/4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 + 1\/4*s**5 - 3\/4*s**3 + 0*s - 1\/2*s**2 + 0*s**4 = 0. Calculate s.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15833395 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 112637697 a multiple of 293?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 357065 and -93.\nAnswer: -33207045","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) 5 (b) -2\/3 (c) -1.8 (d) 5\/12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -23*h - 27 + 26*h - 11 to the form m + b*h and give b.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 10) to base 16\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 53*z**2 - 846*z - 7380. What is t(-9)?\nAnswer: 4527","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, v: 3, m: 1, p: 6, z: 4}. Give prob of sequence pz.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89\/7 + 438\/35. What is the biggest value in d, -1, 1, 2\/3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -20 + 40. Suppose -2*n = -0*n - i. What is the second derivative of -10*m**2 + n*m**2 + 3*m**3 - 2*m wrt m?\nAnswer: 18*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50899602 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 84 = -5*p. Suppose 3*u = -2*v + 2, 2*u - p = 5*v - v. Suppose 4*n + u = 3*n. Let m(b) = 2*b + 2. What is m(n)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, 0, 72.\nAnswer: -5, -1, 0, 5, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89707 - 29*o**2 + 89707.\nAnswer: -29*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and -164\/1217 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + (sqrt(171) + -5 + (sqrt(171) - (sqrt(171) + 1)))**2.\nAnswer: -36*sqrt(19) + 203","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*k = -556*k - 6210 for k.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 20346 < 5\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = a**3 + 3*a**2 + a + 4. Let o be u(-3). Let y(l) = -2*l**2 + 6. Let h(x) be the first derivative of x - 328. Determine o*y(p) - 5*h(p).\nAnswer: -2*p**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - v = -a + 983, 3*a = 4*v - 1003. Let j be a\/56 + 6 - (-2)\/(-16). Solve 0 = -j*g - 4*g - g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 10, -38, -98, -176, -278, -410?\n\"Answer: -t**3 - 41*t + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -4336 at least as big as -633101\/146?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7737 = -2*b + b. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5305900 rounded to the nearest one hundred thousand?\nAnswer: -5300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -12040410 (base 5) in base 10?\nAnswer: -111980","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -236\/385 - -1\/77. Let q = -0.1 - -0.4. Let v be (75\/(-10)*(-8)\/36)\/((-8)\/(-6)). Put l, q, v in ascending order.\nAnswer: l, q, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uuubbbubluuhuuuyuh. Give prob of sequence bhu.\nAnswer: 5\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 4*l = 0. Suppose v = -4*m + 139, v - 3 = -l. Suppose -q = q - m. Solve -3*s = 4*f + q, -9 = 3*f - 0*s + s for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 18*z - 3*p = 23*z - 3, -5*p + 5 = -3*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2635.\nAnswer: 5, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31, -242, -453?\nAnswer: -664","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -154*v**6 + 5*v**4 - v**3 - 3575*v**2.\nAnswer: -18480*v**3 + 120*v - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -11 + -220?\nAnswer: -1001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214.\nAnswer: 2, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -1 (b) 0 (c) 0.05 (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -5 + (6 - 1) - 2*-1. Solve g*l = -l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.01 greater than or equal to -11\/13?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 4*y + 19. Suppose -s + n + n - 16 = 0, 2*s + 4*n = 8. Let o be j(s). Sort -2\/7, 2\/7, o, 0.1 in ascending order.\nAnswer: o, -2\/7, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*g - 5*g - 4*g)*(g + 0*g - 3*g).\nAnswer: -32*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.2, -2, 5, 2.767 in decreasing order.\nAnswer: 5, 2.767, 0.2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express (-10 + 2 + 7)*(0*w**2 - 3*w**2 + w**2)*(723*w - 515*w + 380*w + (-1 - w + 1)*(3 + 3 - 4) - 3*w + 3*w - 2*w) as m*w**3 + d*w**2 + u + x*w and give u.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 12*n**2 + 19*n + 29. Calculate y(-13).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 9*c + 24. Let k(h) = 26*h + 68. What is -11*j(l) + 4*k(l)?\nAnswer: 5*l + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 715327600?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = 2*f - 173, -f = -5*d - 60 + 1. What is the highest common divisor of 504 and f?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**3*s)**(-46))**(-1\/6)\/((s**(6\/11)\/s*(s*s**4)\/s*s)\/(s\/(s\/(s**(5\/2)*s)*s*s)*s*s*s**(-2)\/s)) assuming s is positive.\nAnswer: s**(1757\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 + ((-4 - 12) + 7 - (3 - -6)).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (3\/6)\/(2\/28)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2447 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:38 PM and 5:09 AM?\nAnswer: 331","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -j**3 - 2709*j**2 + 37*j**2 - 16 + 18.\nAnswer: -j**3 - 2672*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -2.5, -5\/66?\nAnswer: -5\/66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.3 * -0.21236.\nAnswer: 0.063708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2\/557 - 3332\/2785. Put 0.5, -4, k, -0.2 in decreasing order.\nAnswer: 0.5, -0.2, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23205 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -886693 in 1\/3, -0.04, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n**3 + 9*n**2 - 8*n - 17. Give d(5).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2156?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1096 - 5*y - 5*y + 4*y + 1096.\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 27734*p. Let r(f) = -6*f**2 - 13*f. Give w(r(c)).\nAnswer: -166404*c**2 - 360542*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -7 - (-17 - (-19 + 5)) - (-2 + 20).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -2973, -2988, -3009, -3036?\n\"Answer: -3*p**2 - 6*p - 2964","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -9*o**4 + 188*o**2 + 37*o + 4. Let a(h) = -2*h**4 + h**2 + 1. Let z(b) = -4*a(b) + c(b). What is the second derivative of z(v) wrt v?\nAnswer: -12*v**2 + 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 3130?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0 + (3 - (0 - 0)). Suppose -q*v = -6*v + 54. Calculate the common denominator of 9\/5 and v.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 638.\nAnswer: 2, 11, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*g + 24*g - 18, 0 = -f - 5*g + 35. Sort -4, 1, -7, f, -2 in increasing order.\nAnswer: -7, -4, -2, 1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 61 divide 75363?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 52 a factor of 54964?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -1444446 (base 7) in base 13?\nAnswer: -6b334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 292 = -5*w, 3*w - 4*q = -0*w - 178. Let v = -35 - w. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the first derivative of a**6\/540 - a**5\/30 + 5*a**4\/36 + 29*a**3\/3 - 24. Let t(l) be the third derivative of r(l). Solve t(g) = 0 for g.\nAnswer: 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k + 5*j, -2*k = -0*k - 2*j + 2. Suppose -4*i = -c - 15, 5*c + 15 = -k*c. What is the second derivative of s + 2*s**4 - s - i*s wrt s?\nAnswer: 24*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*o - 2*j = 8, -5*j + 0 + 3 = 4*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -849*u + 849*u + 37 + 3*u**2.\nAnswer: 3*u**2 + 37","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 289183 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -27*c**4 + 1393457*c**2 - 59652083.\nAnswer: -108*c**3 + 2786914*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1.4 - -75455913469\nAnswer: 75455913470.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1759 - 1757. Calculate the smallest common multiple of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the second derivative of -2*f**3\/3 - 7*f**2\/2 - 3*f. Let r be b(-14). Let u = 9 - 2. Calculate the highest common divisor of u and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = -22*l**4 + 93*l**3 - 57*l**2 - 40*l. Let c = -9 + 12. Let s(w) = -45*w**4 + 185*w**3 - 115*w**2 - 80*w. Let g(i) = c*s(i) - 5*n(i). Factor g(k).\nAnswer: -5*k*(k - 2)**2*(5*k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2925035 a multiple of 192?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z and 1 s when four letters picked without replacement from zttztzs.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express 8*p**2 - 9*p + 5 - 4 + 11*p in the form u*p**2 + b + n*p and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -124880 = 532*z + 1001*z - 25235 for z.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 114 - 74. Suppose -2*p + 98 = 5*p. Calculate the remainder when v is divided by p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06716 to three decimal places.\nAnswer: -0.067","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*y + 3*y - 12 = 0. Let h be (-2)\/(6 - (1 - y)). List the prime factors of 31\/((-2 + h)\/(-3)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 15*b**3 - 7*b**2 - 7*b + 7. Let r(u) = -7*u**3 + 4*u**2 + 4*u - 4. Suppose -148*l + 42 = -142*l. What is l*r(y) + 4*w(y)?\nAnswer: 11*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = -315*y**2 + 3*y - 179. Let b(l) = l**2 + l + 2. Let r(i) = 5*b(i) - j(i). What is the first derivative of r(a) wrt a?\nAnswer: 640*a + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -9*y + 279 - 369 for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence aatc when four letters picked without replacement from actrccccgccccarta?\nAnswer: 9\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 147 divided by -3\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 5c579 - 2?\nAnswer: 5c577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*k**2 + 3324*k + 9990.\nAnswer: -2*(k - 1665)*(k + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p + 42. Let c be x(-13). Let h(f) = f**2 + 10*f + 13. Let o = 5 - 14. Let l be h(o). Solve -3*a - z = 18, l*a + 6 = a + c*z for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 + 73*z**2 - 351*z - 141. Does 308 divide s(-70)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7.1 - -0.1. Let i = 11 + g. Which is the third smallest value? (a) i (b) -3\/2 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 10383502?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 723, 1119, 1513, 1905?\n\"Answer: -h**2 + 399*h + 325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(19\/(-19)*(1 + 1)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 133 + -129. Suppose 10*q + 634 = 3*s + 8*q, -2*s + k*q = -428. Does 50 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -25\/78624 and 83\/44928.\nAnswer: 314496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -260951 (base 13) in base 2?\nAnswer: -11011111100001010011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 13) in base 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 1\/((-36)\/(-8) + -4). Calculate the highest common divisor of p and 10.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - -22) + -9 + 8 + 4. Calculate the greatest common factor of b and 1666.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + -1)\/(-3 + 1). Solve -4*l - 2*a - 28 = o, -l = 2*a + 8 + 5 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 7*q. Let b(x) = -2247*x**2. Calculate b(n(m)).\nAnswer: -110103*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(3\/4)*x*x**(-1\/11))\/(x**8*x**(-1))*(x**(-2\/7))**(-1\/22)\/(x*x**4*x\/(x\/((((x\/(x*x*x\/x**(-1)*x*x*x))\/x)\/x)\/x))) assuming x is positive.\nAnswer: x**(-409\/308)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 2*(1\/7)\/((-6)\/7)\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 8 = -2*z - 6*s, 4*z - 16 = -5*s. Suppose 3 = -z*v - 3*p - 5, 2*v + 6 = -2*p. Which is the nearest to v? (a) -15\/7 (b) 0.4 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16022404 to the power of 1\/3, to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 61\/((-11346)\/(-62))*(-9)\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 92, -111.3 in decreasing order.\nAnswer: 92, 0, -111.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5491*j**2*t - 222*j*t - t wrt j.\nAnswer: -10982*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-11)\/(((-90)\/3510)\/(-14*10\/(-2310)))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6264 and 1624.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0164 times -4.7?\nAnswer: -0.07708","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (15 - (20 + -12)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {o: 2, y: 6}. What is prob of sequence ooy?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12\/5 - 46\/5*g + 68\/5*g**2 + 16\/5*g**4 - 48\/5*g**3 - 2\/5*g**5 = 0 for g.\nAnswer: 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13)*2 + -4 - (sqrt(13) - sqrt(65)\/(1*sqrt(5))))**2.\nAnswer: -16*sqrt(13) + 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (1 - 0)\/1 + 0. Let i be 0*(v + (-3)\/6). Is 0\/6 - (i + -35) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(336)\/sqrt(12)*-6 + sqrt(14)\/(sqrt(10)\/(sqrt(5) + 3*sqrt(5))).\nAnswer: -8*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 130525.9 kilograms to grams.\nAnswer: 130525900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2225861.\nAnswer: 11, 17, 11903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than -262?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1775194592 to the power of 1\/3, to the nearest integer?\nAnswer: 1211","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 138*q**3 - 49*q**3 - 48*q**3 - 1 - 43*q**3 - 6 - 1310*q.\nAnswer: -2*q**3 - 1310*q - 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out 688 * -0.1711.\nAnswer: -117.7168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*g + 2*n - 866, 2*n = 1 + 5. Is 43 a factor of (g*(0 - (-36)\/16))\/1?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 51, 130, 263, 480, 811, 1286, 1935, 2788?\n\"Answer: 5*f**3 - 3*f**2 + 53*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that m**2 - 32448*m + 263218176 = 0.\nAnswer: 16224","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(-150)*(-5)\/(-2)\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*n - 10*n - 2*p - 17 = 0, -7 = 2*n + p for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1418\/2457 + -2\/351. Which is the second smallest value? (a) 19\/9 (b) 2\/21 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 87 = -135. Let j = -111 + b. Suppose -2*g = -6*g - 3*x + 21, j = g + 5*x - 1. Let q(f) = -f**2 + 5*f + 5. Calculate q(g).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - 221\/51)\/(3\/90).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -32735001*0.3.\nAnswer: -9820500.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 53 + -18. Let s = 54 - p. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.12 and -51.\nAnswer: 6.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1671 + 3349\/2. Let c(p) be the first derivative of 2*p**2 + 26 - 1\/6*p**3 - k*p. Factor c(g).\nAnswer: -(g - 7)*(g - 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -419 + 431. Suppose d = 3, 2*l - 8 - 1 = -3*d. Solve -3*i + 0*i + 5*u = -16, l = i - 3*u - k for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 493752710.\nAnswer: 2, 5, 11, 59, 76079","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 104114945 and 517.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 1 + 11 = 0. Let m = 0 - o. Let s be 4\/20 - 12\/m. Which is smaller: s or 0?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 43406 to the nearest integer?\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.1, -1\/7, 4, -31\/9?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 308320 to the nearest integer?\nAnswer: 555","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -34 divided by -369327?\nAnswer: 34\/369327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = 3*b - 18. Let c(u) = 620*u**2 - 5*u + 7. Let o be c(b). Suppose 0 = 4*l + 2*j - 1980, 6*j - 3*j - o = -5*l. Is l composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 22 - 4. Suppose 62 = -2*r - m. Calculate the common denominator of (-39)\/(-11) + (r\/22 - -2) and 7\/10.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*m + 168 = -3*f - m + 45, f + 566 = 27*m for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**2 - 4*b. Let l be d(4). Suppose s - 2 = -l*s, -s + 42 = -2*v. What is the tens digit of v\/(-2)*(-48)\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3*s**2 - 2*s**3 + 3*s**2)*(-1235 - 9830 - 7458)*(0 + 3 - 5).\nAnswer: -74092*s**3 + 74092","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 2. Let k = u - 1. What is the least common multiple of 7*(-2 + 3) + 4 and k?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 245786503, 245786506, 245786509?\nAnswer: 245786512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 31443615?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -34 - -40. Suppose -2*v - a = u, 2*u = -u - 4*v - 10. Solve -2*q - u*t = -2, -t + 4 = -2*q - 9 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3919872.52 to the nearest 10000.\nAnswer: 3920000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:50 AM and 1:17 PM?\nAnswer: 507","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 47*x**5\/5 + x**4\/4 + 36*x - 6. Differentiate c(a) with respect to a.\nAnswer: 188*a**3 + 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*((-2*sqrt(1216))**2 - sqrt(190)\/(sqrt(20)\/sqrt(2))) + (3 + sqrt(684))**2 + -2*sqrt(475).\nAnswer: -9035 + 28*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3919133?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27819 - 25128. Calculate the least common multiple of a and 429.\nAnswer: 29601","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -19, -86, -193, -334, -503, -694?\nAnswer: -901","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 1590\/8 - (-45)\/(-60). Suppose 11*u + l = 17*u. What is the lowest common multiple of 9 and u?\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__lcm_composed_test"},"subset":"dm_maths"} +{"text":"Question: Add together -42 and 0.99.\nAnswer: -41.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4505881 - -1.31.\nAnswer: 4505882.31","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1756 is divided by 341.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*g - 4*g**2 + 0*g)*(4375 + g - 3*g + 3*g - 5150 - 2*g).\nAnswer: 4*g**3 + 3100*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = 3*v - d, -4*v = -5*v - d + 9. Solve i + 5*r + 18 = -i, -4*r - v = -i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30832 is divided by 339.\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -19 - -27. Let j = -7.5 + r. Round j to one dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 6 and 111?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pcp when three letters picked without replacement from ccppccp?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6842.\nAnswer: 2, 11, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the first derivative of 11*r**5\/60 + r**4\/12 - r**3\/6 + 115*r**2\/2 - 7. Let z(n) be the second derivative of x(n). Give z(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -280.8 take away 6510312187?\nAnswer: -6510312467.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: ((-345)\/(-368)*4\/9)\/((-10)\/(-18))\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 140*k + 64 - 19 - 143*k to a*k + z and give z.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y*y*y**6)\/(y*y**(-20)\/y) assuming y is positive.\nAnswer: y**28","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 69188 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = v**2 - 4*v - 1. Suppose -y - 6*r = -2*r - 14, -4*y = -3*r - 18. What are the prime factors of h(y)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*v + 3*b = 55, -5*b + 13 - 38 = 0. Calculate the remainder when 726 is divided by v.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 176.7682 * 0.038.\nAnswer: 6.7171916","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 124 = -15*c + 19*c. What is the remainder when 90 is divided by c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56688, -225729, -507464, -901893, -1409016?\n\"Answer: -56347*v**2 - 341","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 210 (base 4) to base 15\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*f - 132*f**2 + 49*f + 130*f**2 + (-5*f**2 + 3*f**2 + f**2)*(-3 + 3 + 2).\nAnswer: -4*f**2 + 51*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2b + 1?\nAnswer: 2c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -2 (b) 0.155 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/151 + -353\/7701. Is 0 equal to s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -25, -2, 0.\nAnswer: -25, -2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2 - 0. Sort 3, p, 8.\nAnswer: p, 3, 8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = -3*k + 84. Let a = k - -109. Let m = -94 + a. List the prime factors of m.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-35)\/(-7) + (2 + (-3 - -3))\/(-1). Solve 5*g = 3*p + 6, -4*g - z = -p - 12 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 978514459?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a week in hours?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000064465614 to 7 dps.\nAnswer: 0.0000064","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2767511 to the nearest integer?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -3*m*s**3 + 461*m*s**2 + 410*m + 2*s wrt s?\nAnswer: -9*m*s**2 + 922*m*s + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 + 0 - 2) + 6 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 709 - -605. Let i = -1823 - y. Let u = 25065\/8 + i. What is the common denominator of u and 13\/16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the first derivative of z**4 - 2*z**3\/3 + z - 15. Let s be n(1). Suppose -q + 84 = s*q. Solve 4*p = -d - q, 5*p + 24 = -3*d - 4 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_test"},"subset":"dm_maths"}