diff --git "a/data/dm_maths/full_data_1/1923_11255.jsonl" "b/data/dm_maths/full_data_1/1923_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1923_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Expand (-4 - 3*m + 4)*(-1 + 17*m - 8*m - 27*m)*(3 - 3 + m).\nAnswer: 54*m**3 + 3*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/2? (a) 10\/9 (b) -0.4 (c) -1\/6 (d) 6.396\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -7*b**3 + 4*b - 8. Suppose 12 = 8*k - 36. Let h(n) = 13*n**3 - 7*n + 15. What is k*h(u) + 11*q(u)?\nAnswer: u**3 + 2*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -6 and -0.02.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3441767.\nAnswer: 7, 53, 9277","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/((-2)\/(8\/(0 - (-9)\/(-27)))*3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -103*h**5*m - 26*h**5 + h**2 + 2*h*m + 103199*h + m wrt h.\nAnswer: -2060*h**3*m - 520*h**3 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11955, 95601, 322639, 764769, 1493691, 2581105, 4098711, 6118209?\nAnswer: 8711299","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d - 15. What is w(11)?\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u + 4. Let i be 1\/1 + (0 - -3). Let k be r(i). Solve -29 = 4*j - k*x + 3*x, -j = -x + 2 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = 44*z + 353. What is b(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*f - 4*f - 3*y, 2*f + 2*y = -14 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 524 + -470. Suppose -t - 234 = -3*b. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = -d**2 + 5*d - 3. Let c be r(6). Let g = -9 + 18. What is the remainder when g is divided by (-30)\/(-4)*(-6)\/c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = 6*g - 16. Let s(x) = 4*x - 11. Determine -5*i(w) + 7*s(w).\nAnswer: -2*w + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 168*h + 3227. Let q(z) = -z**2 - 2*z + 103. What is the remainder when q(0) is divided by c(-19)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 = 150*f - 142*f. Sort -31, 3, f in descending order.\nAnswer: 3, f, -31","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -5704159596 and -0.3.\nAnswer: -5704159596.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 6\/27 + 320\/18. Let i be 41\/d + 10\/(-4). Sort 1\/5, i, 4.\nAnswer: i, 1\/5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) be the first derivative of -13*c**3\/3 - 9*c**2\/2 - 34. Let j(v) be the third derivative of v**5\/20 + v**4\/12 - 2*v**2. Give -18*j(p) - 4*u(p).\nAnswer: -2*p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*t - 52 - 9*t + 3*t - 2*t**3.\nAnswer: -2*t**3 - 2*t - 52","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 38201 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 take away 303364678598?\nAnswer: -303364678605","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 105 = 4*d - 25*d. Let q(k) = 9*k + 50. Let v be q(d). Solve -s = -v*s - 12 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, l: 2, s: 1, j: 1, x: 1, o: 2}. What is prob of picking 2 o and 1 x?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j + 3*y + 15, -3*y = j - 12 + 11. Let d = 1066\/7 + -152. Which is the nearest to d? (a) 6 (b) -0.5 (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-10)*5\/(-2). Let z = -6164\/21623 - 2\/3089. Suppose -5 = -g - 4*g. Which is the closest to g? (a) v (b) 2\/7 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (10*(-7)\/(-28))\/(30\/20).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c - 1. Let r be x(2). Let y = r - 5. List the prime factors of -12*(3\/y)\/3.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*h**4 - 636904*h**3 - 25353555968*h**2 - 50704564352*h.\nAnswer: -4*h*(h + 2)*(h + 79612)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*b + 8 = 32. Suppose -b*u + 133 + 188 = -3*w, -320 = -2*u + 4*w. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 7*c**3*p*x*z**2 - c**3*p*z**3 + 2*c**3*x**3*z + 185*c*x**3*z**3 + c*z**2 - p*x wrt z?\nAnswer: -6*c**3*p + 1110*c*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 7 - 1 + 1 + 1 - 1 + 4 + 3 - 5 + (-1 + 1 - 2)*(7 - 2 - 3))*(0 + 0 + f**3).\nAnswer: -8*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 15 + -11. Calculate the smallest common multiple of i and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1000*n = 1005*n + 20 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 55442239 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*j - 114 = -6. What is the highest common divisor of j and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - 0.4. What is the closest to y in 1, 1\/2, 4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -214533 + -120231?\nAnswer: -335204","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -8316 + 15384. What is the tens digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -18*l - 213. Suppose -32 = 3*b - 2*o, 5*b - 38 = 9*b - 5*o. Calculate s(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let u be 6*(-2)\/3*(-138)\/24. Sort 4, 5, u in decreasing order.\nAnswer: u, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 5549 + -2?\nAnswer: 5547","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -1\/11 (b) -2\/9 (c) -0.5 (d) 0.3 (e) -2 (f) 3 (g) 2\/10367\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 273288 a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -5 - 120873395750\nAnswer: -120873395755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t = -3*o, 4*t + 0*t = 0. Solve o*p = -p + 2 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) be the third derivative of r**8\/1680 + 7*r**5\/15 + 37*r**2. Let b(p) be the third derivative of d(p). Let l(s) = -3*s**2. Determine b(l(c)).\nAnswer: 108*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -17779, -35448, -53091, -70696, -88251?\nAnswer: -105744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 46433 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 6*b**4 - 269890*b**3 - 31447*b**2 + b + 37?\nAnswer: 144*b - 1619340","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -150 (base 10) to base 4.\nAnswer: -2112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.0926 + -0.0074. Suppose 2*c = -0*c - 2. Let p be (c - -5)*-1*-1. Sort p, 3, g.\nAnswer: g, 3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -2. What are the prime factors of -2 + 12 + 3\/y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 31*l + 26*l - 5 + 4 - 61*l. Let x(y) = -16*y. Let b be x(1). List the prime factors of m(b).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = y**3 - y**2 - 4*y + 6. Let a be m(7). Suppose -3*b + a = b. Suppose b = v + v. Is 12 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 230843?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:43 AM and 4:40 AM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5604783 is divided by 66.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000054099 to seven decimal places.\nAnswer: 0.0000541","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 16845*z**2 - 40*z. Let c(s) = 4*s**2. Determine u(c(v)).\nAnswer: 269520*v**4 - 160*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 10665 + -69. Is 11 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40589\/14 - -5799\/2. Which is the nearest to -0.07? (a) -1 (b) g (c) -2 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3246*q**2 - 6*q**3 + 5427*q**2 - 8673*q**2.\nAnswer: -6*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 less than -78651?\nAnswer: -78648","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 365 + -200. What is the highest common factor of 75 and q?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(17) - (-2*sqrt(17))**2) + sqrt(2448) + -2.\nAnswer: -342 + 17*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s - 10 = -4*c, -5*c - 97*s + 9 = -98*s for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*x - 24*x = -3*i - 517, 3*i = 0. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a + 3 + 2 + 3 - 6. Suppose 2*l = -2*l + 56. Let z = -20 + l. Determine q(z).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*r + 5*c = 3*r + 79, 3*c + 143 = 5*r. Let p be (r + 0)\/4 - -4. Solve -x = -4*y - 5, 2*y - 4 - p = -3*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-2)*6*(-10)\/120?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 3*f**2 - 32*f + 12. Let i(k) = -k**2 + k + 1. Let u(c) = 2*i(c) - n(c). Let y be u(6). Calculate the greatest common divisor of 70 and y.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -22\/9, -5, 1, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9\/(-21)*4\/(-3). Let i be 1\/3*-6*(-7)\/63. Which is the closest to -2\/19? (a) m (b) i (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 778.1216 rounded to the nearest integer?\nAnswer: 778","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -9534 divided by -9534?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -17*i + 205 + 199 - 4*i**3 - 405 in the form j + g*i**2 + l*i**3 + m*i and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -607798074 divided by 303899037?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 2799300611?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 39\/128 and -91\/96.\nAnswer: 384","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Product of -2905829 and 0.14.\nAnswer: -406816.06","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 222042*o + 225 = 2*h + 222025*o, 3*o = 2*h - 43 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (43*k**5 - 231*k**5 + 117*k**5)*(-15 - 16 + 16).\nAnswer: 1065*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = t**3 - 12*t**2 + 15*t - 49. Let g be d(11). What is the nearest to 1 in 8, g, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-2 - 2)\/(-2 - 0). Suppose -f*g - g = -45. What are the prime factors of g?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 5\/8 of a micrometer?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 d when two letters picked without replacement from qqqhlqldqlqhthqtl?\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 r when two letters picked without replacement from drdxdriddfid?\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 71 = 3*m - 1. Let g(p) be the first derivative of -3*p**4\/4 - 5*p**3\/3 - 5*p**2\/2 - 5*p - 31. What is the remainder when m is divided by g(-2)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000023028097 to seven dps.\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -2*s**6\/5 - 5*s**4\/12 + 37*s. What is the third derivative of g(v) wrt v?\nAnswer: -288*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -161 divided by -23?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 10. Suppose r = 2*w - 203 + 29. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that 15*i**5 + 2757*i**4 + 132594*i**3 + 2342076*i**2 + 10381800*i - 61843584 = 0.\nAnswer: -121, -22, 16\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3925090*i**4 + 50387*i - 32.\nAnswer: 47101080*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*u + u - u + (1 - 3 + 0)*(1 - 2*u - 1))*(-3 - 3 + 2) to c*u + z and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 308*m + 156*m + 21 = -155*m, 0 = 2*w - 177*m - 1589 for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 - (4 + -6) - -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 282182 to the nearest integer?\nAnswer: 531","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -10*i + 5. Let u(c) = -50 + 4*c - 3*c + 26 + 28 - 10*c. Calculate 5*s(y) - 6*u(y).\nAnswer: 4*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -23 (b) -2\/21 (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 63087584 a multiple of 937?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"} +{"text":"Question: What is -100440762 (base 8) in base 15?\nAnswer: -1744cea","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13181?\nAnswer: 7, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 4809 + -7?\nAnswer: 4802","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2\/21 (b) 2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 39\/10058 and -81\/20?\nAnswer: 100580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 7 - 9*r**2 - 3 - r**3 + r - 1. Let t = -5831 - -5822. Determine v(t).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 8 and 126?\nAnswer: 504","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/9, 0.22, -4, 4, 9672 in decreasing order.\nAnswer: 9672, 4, 2\/9, 0.22, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = 40*c**2 - 50*c. Let m(i) = -i**2 + i. Give 50*m(o) + y(o).\nAnswer: -10*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 30506401 to the nearest integer?\nAnswer: 5523","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c\/(c*c\/(c\/(((c\/(c\/(c**8\/c)))\/c*c)\/c))))\/c*c)**(-2\/77) assuming c is positive.\nAnswer: c**(10\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(132)*3)\/sqrt(12) + 3*sqrt(1331)*-1.\nAnswer: -42*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -129, 866 in descending order.\nAnswer: 866, 2, -129","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 70 - 45. Let j = -22 + u. Find the third derivative of -r**5 - 5*r**5 + 2*r**5 - 12*r**2 - j*r**5 wrt r.\nAnswer: -420*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 10 and 484 - (-4 + -4*5\/10)?\nAnswer: 490","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 4 + 12?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 2*r**3 - 9*r**2 + 6*r - 6. Let n be h(4). Suppose 2*x + 9 = -w, 3*x - n*w - 3 = 1. Which is the closest to 3? (a) x (b) -1 (c) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2633136 and 8976.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i - 106 = -2023. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001031 rounded to 5 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -1369323?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) be the first derivative of 1\/24*y**6 + 3\/20*y**5 + 1\/12*y**3 + 0*y + 2 + 3\/16*y**4 + 0*y**2. Suppose z(k) = 0. Calculate k.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:24 PM and 1:38 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of ((-1243)\/1100*-15)\/((-2 + -2)*-9) and 137\/2088?\nAnswer: 20880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1665?\nAnswer: 3, 5, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**5\/x*x\/x**1)\/(x**(1\/4)\/x*x**(-2)) assuming x is positive.\nAnswer: x**(27\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1017 and 791?\nAnswer: 7119","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 104445216?\nAnswer: 2, 3, 362657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-44)\/16 - 1\/4. Let l(s) = -2*s**2 - 2*s + 3. Let p(m) = -m**2 - m + 2. Let k(y) = t*l(y) + 5*p(y). Suppose 5*w + 2 = 3*w. Calculate k(w).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*l = -5*m + l - 2*l, 122*m + 3*l = 57*m + 59*m + 27 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*c + 0*c - 9*c**2 - c + 163 + c**4 - 160 to the form i + b*c + r*c**3 + d*c**2 + t*c**4 and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(t) = 44*t - 2. Let z(s) = -9*s + 1. Give -2*v(i) - 11*z(i).\nAnswer: 11*i - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0001192161 rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4854?\nAnswer: 2, 3, 809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 827884231 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1640862555?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = 4*c**3 - 20*c**2 + 18*c - 81. Calculate o(5).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.11986 - 0.12. Round k to 4 dps.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 3*z + 38 - 12, 13 = z + 3*v for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k - k + 5*s = -29, 0 = 4*k - s - 13. Let h be 5 - (-23)\/(161\/(-70)). Sort k, h, -3, 17 in decreasing order.\nAnswer: 17, k, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11716.\nAnswer: 2, 29, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {p: 9, a: 2}?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 39*o + 37. Let k(m) = -13*m - 12. Let n(g) = -11*k(g) - 4*x(g). Let h be n(-4). List the prime factors of 2\/1*90\/h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 547 + -540. Solve -12*u + 5 = -b for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 o, 1 g, and 1 m when four letters picked without replacement from {g: 1, r: 1, v: 1, z: 2, m: 2, o: 8}?\nAnswer: 8\/195","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 12134073247 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*t**3\/15 - 104*t**2\/15 - 38*t.\nAnswer: 2*t*(t - 57)*(t + 5)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -388.054 take away 0.79?\nAnswer: -388.844","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 3576 divide 40993086?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b - 4 = 36. Let h be ((-36)\/(-30))\/((-2)\/b). Let c be (h\/(-7))\/((-1)\/7). Calculate the highest common divisor of c and 48.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 2275 and 3282 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -2*f**3 - 2*f**2 + f - 1. Let r(y) = -5*y**4 - 345*y**3 - 340*y**2 - 25*y + 25. Let s(x) = r(x) + 25*t(x). Factor s(m).\nAnswer: -5*m**2*(m + 1)*(m + 78)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (39\/(-234))\/((-20)\/210).\nAnswer: 7\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2099.\nAnswer: 2099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -73, 6, -0.25, 2\/7, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*j - 5*m - 164, -3*j - 223 = -4*m. Let i = j - -135. What is the greatest common divisor of i and 406?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 6.091 and 4?\nAnswer: 2.091","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 2*a - 3)*(-4*a**2 + 6*a**2 - a**2) - 3*a**3 + 0*a**3 + 4*a**3 + (3*a**2 - 2*a + 2*a)*(-a - 3*a + 2*a).\nAnswer: -3*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 373864624*y**3 + 17184*y**2 + 2*y - 1905?\nAnswer: 2243187744","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3902 + 3579. What is the closest to -2\/7 in i, -1\/3, 3, 0.5?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -483975 or -483976?\nAnswer: -483976","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -81 + 88. Calculate the highest common factor of c and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 37816 + -6353131\/168. Let v = f - 5\/42. Is 0 < v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 divided by -2093?\nAnswer: -2\/2093","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = 178*q + 203. Let b be k(23). Suppose -2*g + 5*l = b, -4*g - 51*l - 8539 = -50*l. What is g rounded to the nearest 100?\nAnswer: -2100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 704 minutes after 11:53 PM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2 + 25\/15)*-24. Suppose 5*o + 273 = x*o. Let g = -42 + o. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = 16*q**3 - q**2 + 120*q + 348. Give d(-3).\nAnswer: -453","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 44 + -45. Let t = v - -6. Solve -1 = -f - t for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 18106 and 10349225?\nAnswer: 823","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 63377358 divided by 2?\nAnswer: 31688679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*c**5 - 231*c**2 wrt c.\nAnswer: 5940*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**3 - 17*i**2 + 16*i + 19. Let u(d) = d + 27. Let j be u(-11). What are the prime factors of m(j)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -w + 1. Suppose 2*q + 3 = 1. What is the biggest value in w, q, 2\/9?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m - m - q + 107, -2*m = q - 219. Let d(u) = -18*u + 36. Let p be d(6). Let n be 2*(-22)\/m + (-18)\/p. Put -0.5, n, -1\/6 in descending order.\nAnswer: n, -1\/6, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*h + 17, -5*h - n + 45 = 4*n. Suppose j + 3 = 5. Suppose 0 = j*o + o - 9. Solve d = o*y - 5 - h, 2*y - 17 = 3*d for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 103 is divided by 51?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 20, 2*g + 73 = g + x. Let m = 19 - 88. Let a = m - g. Calculate the greatest common divisor of 90 and a.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 1, r: 5, q: 2, m: 3, u: 1, y: 1}. Give prob of picking 2 r, 1 x, and 1 m.\nAnswer: 6\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 193 and 3749.\nAnswer: 723557","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*v**4 - 4*v**4 + v**4 + 2*v**4 - 3*v**4 - v**4 + (0*v - v + 3*v)*(3 + 2*v**3 - 3) + (-116*v**2 + 116*v**2 - 42*v**3)*(0*v - v + 3*v).\nAnswer: -81*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 677 and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = 8*r**2 - 2*r - 1. Let a = -4 + 3. Let i be v(a). Let y = i - 2. What is the units digit of y?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 0.2, -260, 493?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*u - 164 = 10*u. Does 41 divide u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 1088 - 8140 = -d, 2*d - 14109 = -3*s. Is d a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 370252610?\nAnswer: 2, 5, 7, 13, 251, 1621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -185 (base 15) to base 4.\nAnswer: -11132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 70, 135, 200, 265, 330?\nAnswer: 395","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 53\/4 of a meter in centimeters?\nAnswer: 1325","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 72, 7.81, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 23 + -20. Let o(u) = u**2 - u - 1. Let y be o(3). Suppose 3*z + y = 8. Is z > l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/1 - (-1 + 0). Suppose -2*z - 4*w = 8, -w = -4*z - v*w + 2. Let d be (-3)\/2*(-7 + 1 + 4). Solve z = l + a + 1, -3*l = -2*l + d*a - 1 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2518595?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ohhozhhy. What is prob of picking 1 h and 1 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48762567?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = p**3 - 3*p**2 - 2*p + 2. Let n be l(-3). Let x = n - -48. Let b be ((-10)\/(-7) - 2)*(-1)\/x. Sort -0.4, b, 1.3.\nAnswer: -0.4, b, 1.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v - 12066 = -3*z - 12062, -3*z = -11*v + 28 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 52561141?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-50)\/(-22) + -2 + 0. Let a(l) = -l**3 + 3*l**2 + 5*l - 4. Let b be a(4). Suppose b*c + 9*c = 0. Which is bigger: m or c?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 749992?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 z, and 1 f when three letters picked without replacement from {f: 1, z: 5, h: 3, v: 4, c: 1}.\nAnswer: 15\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 6\/11, 2\/13, -27, 5 in decreasing order.\nAnswer: 5, 6\/11, 2\/13, -27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -67\/490 and 13\/735?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (66*d + 62*d - 127*d + d**2)*(106 + 205 + 83).\nAnswer: 394*d**2 + 394*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = -24*y + 270. Let p be (-68403)\/(-15) - 2\/y. Round p to the nearest 1000.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 111\/88 and -56\/25883.\nAnswer: 207064","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = t**2 + 1. Let r(o) = -o**2 + 12*o. Let s(v) = -r(v) - 2*y(v). Let b be s(-12). Put 1\/10, b, 2\/19 in increasing order.\nAnswer: b, 1\/10, 2\/19","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28256?\nAnswer: 2, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 4*y + 4 = -7, -2*z + 21 = 3*y. List the prime factors of 34\/((-4)\/(-12)*z).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a gram in milligrams?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 6455 divide 755351190?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**4\/13 + 1486*t**3\/13 + 2978*t**2\/13 + 1490*t\/13 = 0. What is t?\nAnswer: -1, 0, 745","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 4339*s**2 + 623. Let r(a) = 5*a. Give r(n(m)).\nAnswer: 21695*m**2 + 3115","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 263.0513 - 0.0513. Let q = 262.999999521 - v. Round q to 7 dps.\nAnswer: -0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -33 - -33. Suppose -5*f + 3*f - 90 = m. Let w = -42 - f. Solve -3*y - 3 = k, 6 = k - w*k for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 2227, 1543, 861, 181, -497, -1173, -1847?\n\"Answer: r**2 - 687*r + 2913","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -70.6392 to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = 2*l + 15, -o - 4*l + 7 = 0. Let f be 0 - (-9)\/2 - o\/(-38). Suppose -4*n = -f*q - 17, -2*q + q + 2*n - 1 = 0. Put q, 3, -3 in increasing order.\nAnswer: q, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 3*y**2 + 5*y. Let f(l) = -5*l**2 - 8*l. Suppose -4*a = 3*x - 20, 0*x - 3*a = -x - 15. Let h be x - -4 - (-24)\/6. Determine h*s(p) + 5*f(p).\nAnswer: -p**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = r**2 - 5*r. Is 25 a factor of z(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*s**3 + s**3 + 8*s**3)*(-6*s + 6*s - 6*s**2) - 3*s**5 + 4*s**5 + s**5 + (2*s - 4*s**2 - 2*s)*(4*s**3 - 3*s**3 - 2*s**3).\nAnswer: -24*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 94421 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 1\/2, 2\/5, 2\/7, -6\/5?\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5, z: 1, r: 8, e: 2, s: 2}. What is prob of picking 1 r and 2 s?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes after 5:27 AM?\nAnswer: 12:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 + 13*d - 23. Let b be h(-10). Let i = -193 - b. Is i a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 minus 97.55318386?\nAnswer: -112.55318386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1\/2 (b) -0.2 (c) 0.3 (d) 15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 - 389*z**3 + 1 + 6*z - 8*z.\nAnswer: -389*z**3 - 2*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:08 AM and 9:37 AM?\nAnswer: 89","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/958, 1\/4, -45\/11.\nAnswer: -45\/11, 3\/958, 1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 34135 (b) 3 (c) 3\/5 (d) 1\/12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3146 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -f**3\/8 + 3*f**2\/4 - 9*f\/8 + 1\/2.\nAnswer: -(f - 4)*(f - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 293422 times 2\nAnswer: 586844","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 630 minutes after 9:52 AM?\nAnswer: 8:22 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 36\/((-9)\/6 - -3). Suppose 0 = -25*b + m*b + 16. Solve -19*i = -23*i - b for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10 - (-10 - 2296\/(-49)). Do -46 and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/2)\/(9\/30*4)?\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3152 = -30*f + 3988. Calculate the greatest common factor of 136 and f.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -9*(-56)\/224*28\/3\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of 11*q**4\/4 + 5*q**3\/3 - 3*q**2\/2 - 252. Let s(p) = -17*p**3 - 7*p**2 + 4*p. Calculate -7*r(u) - 5*s(u).\nAnswer: 8*u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 20 = 11. Suppose q*o + 31 = -y, -17 = 3*y + 3*o + 52. Let z = 21 + y. Solve -z*x = -5 - 5 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -318*i**2 - 136103*i + 420. What is r(-428)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2608074551 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2229318 and 97272?\nAnswer: 1721033496","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 448323?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-5)\/(60\/(-96)) + 2 + -6. Let w(b) = 7*b - 5. Let g(j) = -6*j + 5. Calculate l*g(k) + 3*w(k).\nAnswer: -3*k + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -14333*n*y - 867*n wrt y.\nAnswer: -14333*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -160*v + 57. Is m(-7) a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 818185928 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes before 9:51 AM?\nAnswer: 9:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.196 and 0.0381857?\nAnswer: -0.0074843972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 3*d)*(-2*d - d + d)*(0 + 4 - 3).\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a = -0*a + 36. Let i be 3\/2*12\/a. Let o(t) = 2*t - 1. Let g be o(2). Solve 4*y = -i*m, 1 = g*m + y + 6 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = v**2 - 6*v + 3. Suppose -2*p + 3 = 3*g, 0*g + 4*g = -3*p + 6. Let l be m(p). Let h be -1 - (4*8)\/(-2). What is the highest common divisor of h and l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4211 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(l) = -6*l**2 + 3*l - 1. Let b be o(2). Let j = b + 19. Sort j, 5, 2 in ascending order.\nAnswer: j, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ehaf when four letters picked without replacement from {f: 3, e: 2, a: 6, h: 2, s: 1}?\nAnswer: 3\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 36*u**2 + 24*u**2 - 89*u**2 - 45 + 27*u**2 - 88 + 8.\nAnswer: -2*u**2 - 125","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1010076 + 1010083.000173. Let u = y + -7. Round u to five dps.\nAnswer: 0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 greater than or equal to 2.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-1\/10))\/z**(-3\/10))\/(z*z\/(z\/(z*z**(2\/11))))**29 assuming z is positive.\nAnswer: z**(-3414\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(45) + -4*sqrt(4500) - sqrt(45))*-5)\/(sqrt(45)\/(sqrt(80)*4)).\nAnswer: 3200*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12216 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4666, 4651, 4636, 4621, 4606?\nAnswer: 4591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 132788?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 4340?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 + 38 = g + z, z = -5*g + 1117. Round g to the nearest ten.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -73\/18 and 109\/4819502.\nAnswer: 43375518","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -177540000 to the nearest one million.\nAnswer: -178000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1038 + 545. What is k rounded to the nearest one hundred?\nAnswer: -500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -351*i - 3491. Is n(-41) a multiple of 50?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*p**(1\/2))**(-3)\/(p*p*p**(-1)\/p)**(-6\/7)*((p\/p**6*p*p)\/(p\/(p\/(p*p**0))))**38 assuming p is positive.\nAnswer: p**(-319\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3096 divided by 89\nAnswer: -3096\/89","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q**4 - 60692*q**3 - 60624*q**2 + 971072*q + 971008 = 0.\nAnswer: -15172, -4, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 3753852152 to the power of 1\/9, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.01325357 to 3 decimal places.\nAnswer: 0.013","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that -o**4\/4 - 2979*o**3 - 53568*o**2 - 321300*o - 642492 = 0.\nAnswer: -11898, -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -22\/525 and 44\/425103.\nAnswer: 10627575","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 14 and 3418.\nAnswer: 23926","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3 + 1)*(-3*x + 6*x - 2*x)*(8*x**2 - 8*x**2 + 10*x**2).\nAnswer: -30*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (29 + 125 - 68)*(4 - 4 + d**2 + (3*d - 5*d + 3*d)*(-1 + 1 + 2*d) + d**2 - 4*d**2 + 5*d**2) in the form a + v*d + z*d**2 and give z.\nAnswer: 430","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -429*t**3 - 466.\nAnswer: -1287*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t**4 - 2*t**3 + 3*t**2 + 8*t + 4 = 0. What is t?\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -2\/15, 5, -5\/7, 1?\nAnswer: -5\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 139 - 57. Suppose -3*l = q - l - z, -4*q - 2*l + 310 = 0. What is the units digit of q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/(g*g*((g*g**(-2\/11)*g)\/g)\/g*g))\/((g\/(g\/g**1))\/g))**(-12\/17) assuming g is positive.\nAnswer: g**(240\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 (base 15) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -110366633*d + 134656101.\nAnswer: -110366633","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5161680751 to the nearest integer?\nAnswer: 71845","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 109\/2929410 and -17\/1171764.\nAnswer: 5858820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = q**2 - 1791*q + 140142. Give t(82).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) 3 (b) -2\/19 (c) 3.2 (d) 49 (e) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -35. Is 4 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 73 - 76. Suppose -d + 4*d + 120 = 2*i, 4*d = -4*i + 280. Let n be i\/15 - (-10)\/(-25). Sort 3, c, 7, n in ascending order.\nAnswer: c, 3, n, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14039 + 14069 = 3*c for c.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*i + 27*i + 13209 + 3297 = 0. What is the remainder when i is divided by 42?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -27886424.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = -7*p - 4. Let d be z(-1). Differentiate w**3 - 25*w**d - 9*w**3 - 31 with respect to w.\nAnswer: -99*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 112403899 to the nearest integer?\nAnswer: 10602","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 66288\/(-38668)*(-8)\/3?\nAnswer: 32\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(432) - (sqrt(432)*2)**2))*3 + (4*(-4 + sqrt(432) + -1))**2.\nAnswer: -1884*sqrt(3) + 2143","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -310036*4.34\nAnswer: -1345556.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -80030 = -114*x - 74444 for x.\nAnswer: 49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -103 + 108. Suppose 8*f - 5814000 = g*f. Round f to the nearest one hundred thousand.\nAnswer: 1900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by -6199698\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-16 - (-205)\/12)*(-6)\/39. Let a = 0.03 - -0.57. Let y = a - 0.2. Put 1, r, y in ascending order.\nAnswer: r, y, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/12)\/((6\/10)\/(-3))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 10*o**3 + 4*o**2 - 49*o + 4. Let p(g) = 11*g**3 + 3*g**2 - 51*g + 3. Let l(i) = 3*d(i) - 4*p(i). What is the second derivative of l(w) wrt w?\nAnswer: -84*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 80*d + 68. What is the tens digit of n(-41)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -57375, -57270, -57165?\n\"Answer: 105*w - 57480","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 760\/24*(-96)\/160?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find a such that -a**3 + 1419961*a**2 - 504081540000*a + 6552820048788 = 0.\nAnswer: 13, 709974","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -114*p + 11863. Give c(106).\nAnswer: -221","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(sqrt(13) + -1)**2 - (sqrt(117)*6 - sqrt(13))) + -2 + sqrt(52)\/sqrt(4) + 5.\nAnswer: -28*sqrt(13) + 87","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put together 254.42 and 244.\nAnswer: 498.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 310707 (base 11) in base 7?\nAnswer: 4144533","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 - (15 - 3) - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-4\/3)\/((y*y**(-5\/3)\/y*y)\/y) assuming y is positive.\nAnswer: y**(1\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24034 + -22254?\nAnswer: 1670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + 2 + 6 + -29.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1829 is divided by 350?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + n = -2*n + 822, -3*a - 4*n = -826. Let f = -175 + a. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-799*n**3 + 535*n**3 - 3 + 577*n**3 + 4*n)*(4 - 3 - 3) in the form j + y*n**2 + t*n**3 + i*n and give i.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w = 2*y - 72, -y = -0*w + 3*w - 52. What is the remainder when w is divided by 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 11:17 PM?\nAnswer: 399","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-12)\/4 - -3 - -261. Let m be q\/12 + (-2)\/(-8). Solve -s + 8 = 3*b, 3*b + m = s + 4*s for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -322497, -321754, -320515, -318780?\nAnswer: -316549","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (1 + 4)*((-35)\/(-7))\/(-5). Let d be (-2100002)\/o + 14\/(-35). Round d to the nearest one hundred thousand.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = j**3 - 10*j**2 + 5*j + 11. Let z be y(10). Let a = -29 + z. Is 16 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -35722 = 387238*g - 386901*g for g.\nAnswer: -106","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 43.8615l to millilitres.\nAnswer: 43861.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = -3*o - 5*a + 267, -4*o - 5*a + 355 = 0. Let p = -16 + 47. Calculate the remainder when o is divided by p.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1213.802 litres to millilitres.\nAnswer: 1213802","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 3*c**2 - 1 - 3*c**2 + 8 + 6*c**3 wrt c.\nAnswer: 18*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 65307735215 - 0.06.\nAnswer: 65307735214.94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a microsecond in nanoseconds?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 + -6. Let n = -3 - -8. What is the remainder when n is divided by v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1807 - 954 = 11*u + 985 for u.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 653.856984 + -644.857. Let d = -9 + x. What is d rounded to 5 decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/o**(-5\/3))**(-31) assuming o is positive.\nAnswer: o**(-248\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 25, 0, 1, -36, -1\/2 in ascending order.\nAnswer: -36, -1\/2, 0, 1, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-52)\/(-273)*(-7)\/2\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 - 7*r + 564. What are the prime factors of c(0)?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((1330\/(-7))\/10 - -4) + -6.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4*y**3 - y**3 + 0*y**3)*(3*y + y - 2*y) - y**3 + 2*y**2 - 16 - y**4 + 16 + y to c*y + h*y**3 + q*y**2 + n + w*y**4 and give q.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/28 and 44\/3.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 18*w**2\/7 + 1390*w\/7 + 44.\nAnswer: 2*(w + 77)*(9*w + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (-300)\/520*10?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 83 - 88. Is b greater than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 t, 1 o, and 1 d when four letters picked without replacement from tdttoood.\nAnswer: 9\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:42 AM and 5:37 AM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*-3*(-62)\/6. Suppose y - 11 = -s. List the prime factors of s\/(-3) - (-2)\/6.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38586217277 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 2796 divided by 1143\nAnswer: 932\/381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = 15*u**3 + 4*u**2 - u. Let w be j(-2). Let h = -102 - w. Suppose h = 2*c - 4*c + 342. What are the prime factors of c?\nAnswer: 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.88 - -0.58. Let f = 29 - 91. Let n = f + 65. Is n equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/(80\/(-15))*(-2)\/(-3)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 25 = -4*b, -143 = 3*s - 13*b - 49 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*p - 36 - 24. Suppose -2*g - 3*o = -27, -3*g - 13 = 4*o - 51. Let v be (-24)\/(-14) + 4\/14. Solve -v*w = -p*w + g for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -16*n**4 + n**2. Let v(r) = r**4. Let q(k) = 6*v(k) + w(k). What is the third derivative of q(a) wrt a?\nAnswer: -240*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*j**4 + 44*j**3 - 3*j**4 - 37*j**3 + (2*j**2 - 1 + 1)*(-j**2 + 2*j**2 + j**2) in the form d*j**2 + w*j + z*j**4 + i + q*j**3 and give q.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 144\/5, 0.23, 0.1, -1\/3 in increasing order.\nAnswer: -1\/3, 0.1, 0.23, 3, 144\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -32 = -10*w + 8*w for w.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) be the first derivative of 5*j**3\/3 - 543. Let d(g) = 12*g + 1. Calculate d(f(w)).\nAnswer: 60*w**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is h in 10\/3*h**2 + 5\/3*h**3 + 0 + 0*h = 0?\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -14 - -76. Suppose 13*t + 23 = i. What is the remainder when 18 is divided by t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2239 + -95. Does 134 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*m - 266 = 63. Let y(p) = p**2 - 47 + m. Let o(t) = 6*t**2. Calculate y(o(g)).\nAnswer: 36*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 38182 (b) -14\/9 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1058\/32 + 51\/(-816)?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-119)\/34*((-1500)\/1960)\/25.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q = -q + 56. Does 14 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -124981, -500014, -1125065, -2000128, -3125197, -4500266?\n\"Answer: r**3 - 125015*r**2 + 5*r + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*n - 8554 = -23*n. Suppose 19*b - n = -101. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:19 PM and 4:07 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 229, 2544, 8829, 21070, 41253, 71364, 113389, 169314?\nAnswer: 241125","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 - 2*k**2 + 1. Let a be c(-1). Let r be 5 + a\/(0 - 3). Solve -4*m + q - 5 = 0, 4*q + 5 = 5*m + r*q for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*z = 10 - 50. Suppose -1596 = -4*s + 3*q + q, -4*s + 1588 = z*q. Suppose 5*t - 102 = -5*j + s, -3*t = 2*j - 202. Does 49 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 3\/4, 2978?\nAnswer: 2978","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*j**3 + 93935*j**2 - 46984*j**2 - 46966*j**2 + 44*j to the form t*j**3 + v*j + h*j**2 + r and give t.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -25, -1\/7, -5.47?\nAnswer: -25","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -19. Let m = -7.7 - n. What is the second biggest value in m, -0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -3, 2*z - 239 = 2*p - 7*p. What is the remainder when p is divided by 13?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19537 = -11*z + 31866. Does 76 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = w**2 + 7*w + 11. Determine v(-10).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -10526, -10510, -10470, -10394, -10270, -10086, -9830?\n\"Answer: 2*r**3 + 2*r - 10530","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -6.97 - 28738339028\nAnswer: -28738339034.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -3*v - 78, -2*v + 5*v = 4*r - 267. Let j(w) = -4*w - 1. Let m be j(-2). Calculate the greatest common factor of m and r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6960?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 3*a**2 + 56*a + 26. Calculate f(-18).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24 + 6 - (34 - 25) - (1 + -4).\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-1)\/(-6))\/((-36)\/(-1998)). Sort 0.4, 0.1, g, 0.2 in decreasing order.\nAnswer: g, 0.4, 0.2, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: 2c95c (base 14) to base 15\nAnswer: 23106","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0\/2*14\/(-98)*7. Suppose s = -u - 6*u. Factor 5\/3*p + u + 1\/2*p**2 - 1\/6*p**3.\nAnswer: -p*(p - 5)*(p + 2)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -130775, -523265, -1177421, -2093249, -3270755?\n\"Answer: -i**3 - 130827*i**2 - 2*i + 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 516 + -492. What is the highest common factor of 210 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5454?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjd. What is prob of picking 2 j?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 16\/154 + 3\/((-84)\/8). Suppose -26*w = w. Put h, -1, w, -1\/3 in ascending order.\nAnswer: -1, -1\/3, h, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 23*n**2 + 31*n - 34. Calculate the remainder when 1372 is divided by l(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -2*l**3 - 10*l**2 - 10. Let t be z(-12). Let f = t - 5306. Round f to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3904.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*h - 17168 = -17207 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 29827292 to the power of 1\/2, to the nearest integer?\nAnswer: 5461","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -215, -217, -219, -221?\n\"Answer: -2*j - 213","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -69 + 82 - (0 + (2 + -2 - -3)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -13, -68, -86, 12 in descending order.\nAnswer: 12, -13, -68, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.4043 + -0.461?\nAnswer: -1.8653","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 694 + -676. Calculate the least common multiple of 15 and b.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*b - 272 = 116*z - 115*z, 4*z - 20*b - 784 = 0 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -14\/3 and -71\/135.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z = o - 275, 85*o - 89*o - 4*z + 932 = 0. Calculate the highest common factor of o and 2220.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3089 or 3088?\nAnswer: 3088","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 57 divide 67899633?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 934787.\nAnswer: 7, 133541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Round 65.6155163 to 2 decimal places.\nAnswer: 65.62","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -7451.381, 2\/9, 0?\nAnswer: -7451.381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3863*r = 3919*r + 2632 for r.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -315 - -318. Which is the fourth smallest value? (a) n (b) 2\/5 (c) 1 (d) -0.28\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes after 10:11 AM?\nAnswer: 5:34 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 2*l + 5 = -0*l, 5 = -5*l for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a - 192?\nAnswer: -186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 5400.28um?\nAnswer: 0.00540028","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -v + 12*r - 15*r, 4*v + 16 = 4*r for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 + 21. Suppose -38 = -5*c - j. Calculate the least common multiple of 54\/(-8)*8\/(-3) and c.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -11 - 6*b**2 + 11. Let w be (-2)\/10 - 22\/(-10). Let v(g) = -g - g**w + g. What is v(h(y))?\nAnswer: -36*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1406592.\nAnswer: 2, 3, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2196*m = 2111*m + 1445 for m.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 9:03 AM?\nAnswer: 7:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*m + 0*m + 4*m)*(5 + 1 - 11) - 2*m + 0*m + m.\nAnswer: 4*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 4*i**4 + 4. Let f = 12 + -7. Let k(c) = -5 + c - f*c**4 - c. Let j(q) = 3*g(q) + 2*k(q). Differentiate j(h) with respect to h.\nAnswer: 8*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-34)\/2 - (-9 - -15 - 4)\/2.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 w when three letters picked without replacement from www?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7010711 is divided by 1116?\nAnswer: 1115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w**2 - 4*w - 10. What is the least common multiple of 17 and h(6)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h*h**(1\/4)\/h)**(2\/63)\/(h**(1\/4)*h\/((h**(-3)\/h)\/h*h))*(h**(-6\/7)\/(h*h\/h**(-2)))\/(h*h*h*h**(-1)*h*(h\/(h\/(h**5\/h)))\/h*h*h) assuming h is positive.\nAnswer: h**(-4553\/252)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5100 - 5075. Calculate the remainder when b is divided by 17.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 23 - 2*q + 27 - 53. Let p(w) = -2*w - 4. Give -5*p(c) + 6*r(c).\nAnswer: -2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the third derivative of -a**6\/120 - a**5\/10 + a**4\/12 + 2*a**3\/3 - 120*a**2. Let r(g) = -3*g. Let b be r(2). Give s(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 51 = -4*z, -2*r + 49 = 4*z - r. What is the least common multiple of z and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12905 is divided by 6275?\nAnswer: 355","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-70))\/(-17*(-90)\/1785).\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f*f**(3\/2)\/f*f)**(-48)*(f*f**9*f)\/(f\/(f*f**(1\/9)*f*f*f)) assuming f is positive.\nAnswer: f**(-2249\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 28 - 18. Is 1738\/n + (-4)\/5 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 3 = -1. Let x(r) be the third derivative of r**4\/12 - r**3\/2 + r**2. Let z be x(4). Solve -s + z = k for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 103232?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -93 + 105. Suppose -6*b = -2*b - q. What are the prime factors of ((-250)\/(-4) + b)*16\/8?\nAnswer: 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.8 + 1.9. Which is the closest to 1\/2? (a) 2 (b) y (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 4 + 0*s - 4*s + 0. Let d be g(3). Let v(j) = j + 11. Calculate the remainder when 4 is divided by v(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 26 + -17. Solve 0 = 3*c - 0*c + h for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 11 = -7*w - h, -8 = -3*w - 4*h. Factor 17 - w - n**2 - 7 - 5.\nAnswer: -(n - 1)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5\/97433 at most 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 81*j + 82*j = 7, -3*u = 4*j - 24. Put 5, -1, u, 1, -4 in decreasing order.\nAnswer: 5, u, 1, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 2318*t - 83410. Calculate s(36).\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*t - 336 - 230. Let j be 9\/(-54) - t\/198. Let h = 20\/11 + j. Which is the nearest to -0.1? (a) 1\/2 (b) h (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -4, -22, -3\/5, 0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrj when three letters picked without replacement from {j: 4, r: 5, w: 3}.\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 11.2, -54, 2, -6, 3, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 305191?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 17976472 to the power of 1\/7, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 1 - (8 - (-1 + (26 - 13) + 37))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -g**3 + g**2 + g + 5. Let k be n(0). Let c be -20*3\/((-12)\/k). Calculate the greatest common factor of 5 and c.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of v**8\/2520 - v**7\/525 + v**6\/450 + 5*v**2. Factor c(w).\nAnswer: 2*w**3*(w - 2)*(w - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 914738114?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 2 (b) 0.2 (c) 2\/3 (d) 181 (e) -12 (f) -3\/8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*z + 53166 + 9226. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -81 + 81. Let f(s) = -3 - 5*s + b*s - 3*s + 3*s. Let k be f(-1). Sort k, 0, 1, -3.\nAnswer: -3, 0, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 164757983?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 459055873?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -16915*n**3 - 106*n - 7382251 with respect to n.\nAnswer: -50745*n**2 - 106","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * -36\nAnswer: -10.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = p + 1. Let r be y(-1). Suppose -150 = 5*j + 4*k, 3*j + r*k = 2*k - 68. Which is smaller: -27 or j?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -127*k + 110*k + 404770. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.3, -1.16, -2\/15, -5 in increasing order.\nAnswer: -5, -1.16, -0.3, -2\/15, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -8*y**2. Let k(n) = n + 1. Let p = 17 + -13. Let r(o) = -8*o - 4. Let u(l) = p*k(l) + r(l). Calculate w(u(z)).\nAnswer: -128*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 838 divide 97158109?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -15 (b) 7\/2 (c) -1\/6 (d) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -8*y - 12. Let f(d) = d - 11. Let j be f(5). Is l(j) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -10 + 238 - (-2 - 1). Calculate the greatest common divisor of 21 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c\/(c\/(c**1\/c)))\/(c\/(c*((c\/c**(-6))\/c)\/c*c)))**(-33))**(5\/7) assuming c is positive.\nAnswer: c**(-990\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of h**2\/2 + 3*h - 507. What is b(-6)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 619*y - 16785 - 16201 + 6988 = 0 for y.\nAnswer: 42","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -2*s**3 + s + 2. Let k be w(2). Let p = k - -16. List the prime factors of (p\/6)\/((-6)\/(-279)).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, n: 1, u: 4, w: 2, x: 2}. What is prob of sequence wn?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) be the third derivative of 228*q**7\/35 + q**5\/30 - 101*q**4\/8 - q**3\/2 + 3287*q**2. Find the second derivative of s(v) wrt v.\nAnswer: 16416*v**2 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 155 - (222 - (86 - 39))\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/21 in -0.5, -8, 3\/5, 4, 217\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + (19 + 15 - 20)?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - j = 0. Suppose j = -2*l + 5*l - 27. What is the remainder when 25 is divided by l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 151. Let f be (-3)\/(3\/(-4)) + 0. Solve 0 = 3*l - k*d - 15, 0*d + 15 = 3*l + f*d for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-954)\/(-583) - 27\/(17820\/(-4420))?\nAnswer: 25\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -11ba8 (base 13) to base 14\nAnswer: -bd19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of l**2 - 3*l**2 - 29*l**4 + 19*l**4 wrt l?\nAnswer: -240*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ppppppppppvvp. Give prob of sequence vp.\nAnswer: 11\/78","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 210 and 125502?\nAnswer: 4392570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 divided by -572032?\nAnswer: -5\/572032","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from {f: 1, l: 4, h: 2, d: 2}.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -555 - -557. Let w(d) = -d - 1. Let u(n) = -n**2 + 10*n + 4. Let g(t) = u(t) + 6*w(t). Calculate g(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 + -6 + (1 - (-3 + 0)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m = f - 8, -5*f + 2*m = -0*f - 26. Calculate the highest common factor of f and 3954.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 54908182 and 126.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 70\/(-4)*(36\/10)\/(350\/5000). Is -899 at most p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 289 + -284. Let b be (6588\/(-1641))\/(-4) + -1. Let w = b + 14212\/2735. Which is smaller: l or w?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m - 234 = -k, -73*m - 6332*k = -6328*k + 4315 for m.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -43*z - 4. Is y(-5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = -5*f. Let b(t) = -6*t + 1. Calculate 4*b(s) - 5*p(s).\nAnswer: s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3 and -457019?\nAnswer: 1371057","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 41443613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -22073463*d**5 + 5569755*d**2 - d + 5.\nAnswer: -1324407780*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-2)\/(-5) - (-16)\/(-90). Suppose -4*n - 2088 = -4*d, 465 + 1136 = -3*n - 4*d. Let t = -2107\/4 - n. Which is the nearest to -2\/3? (a) 1 (b) g (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*y**2 - y**2 - 2*y**2 + 12 + y**2.\nAnswer: y**2 + 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -465 or -463?\nAnswer: -463","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, n: 3}. Give prob of picking 3 n.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -459.6 - -459.600076086. Round r to 6 decimal places.\nAnswer: 0.000076","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -324*n + 2938. What is v(9)?\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 11*n**2 + 325*n - 67. Calculate x(-22).\nAnswer: -1893","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 4278480?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 495321753 to the power of 1\/3, to the nearest integer?\nAnswer: 791","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 15\/4 of a meter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 158*h + 148*h + 185 = 343*h. Solve 0 = -2*u + 4*i + 16, -h*u + i = 4*i - 14 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nlhyonrrlohlhrr. What is prob of sequence oror?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -77 + 76.7. Let f = 43\/57 + 11\/19. Which is the second smallest value? (a) -12 (b) j (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -71\/3706 and -59\/1744?\nAnswer: 29648","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -46, 15, -0.7?\nAnswer: -46","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1673089 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2. Let s(a) be the second derivative of -a**5\/40 - 7*a**3\/6 - 10*a. Let i(t) be the second derivative of s(t). Calculate m(i(h)).\nAnswer: -18*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/3? (a) -0.4 (b) -3\/2 (c) -3\/83 (d) -561\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1268, -2522, -3776, -5030, -6284, -7538?\nAnswer: -8792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -14 + 2*b**2 - 282469*b + 282595*b - 7*b**2 + 4 + 4*b**2 to the form h*b**2 + g*b + q and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4327 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 2*v + 3. Let u be k(-4). Let d = 2 + u. Let m be ((3*6)\/d)\/(-2). What is the highest common divisor of m and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7521590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a34a7da1 + 2?\nAnswer: -a34a7d9d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 84251394.5 rounded to the nearest 100000?\nAnswer: 84300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -48200295, -48200294, -48200293, -48200292, -48200291?\nAnswer: -48200290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/5 of a meter in centimeters?\nAnswer: 20","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (1\/(-5))\/(20\/25). Let n = 59 - 58.6. Let t = 1.81 + -1.9. Which is the third biggest value? (a) t (b) n (c) i (d) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37 = 5*i - 28. Suppose -9 = -2*q + i. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 65*h**3 + 52*h + 7*h - 59*h - 11.\nAnswer: 65*h**3 - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 20 = -4*i + 2*y, 4*i + 5*y = -7. Find the second derivative of -3*x**2 + 6*x - x**i - 3*x**2 + 4*x**2 wrt x.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a - d = -4, 13*a + 5*d - 35 = 18*a for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4363882331 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v\/(v\/v**(2\/3))*v\/(v*v**21)*v*v)\/(v**(1\/10)*v**(-2\/39)))**(-18\/5) assuming v is positive.\nAnswer: v**(21507\/325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -3*t**3*w**4 - 30*t**3*w + 3*t**2*w**2 - 19*t*w**5 wrt w?\nAnswer: -72*t**3*w - 1140*t*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 9*j + 7. Let d be (5 + -1 - -1) + -4. Let i(f) = -1 + 4*f + 5 - d. Let y = -5 - 9. Give y*i(u) + 6*n(u).\nAnswer: -2*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 13*7.06\nAnswer: 91.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -4 (b) -77 (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 138*a - 8256 = -30*a - 90*a. Let p(y) = 5*y**2 - 2*y. Let s be p(-2). Let c be (-12)\/((-2)\/(s\/9)). Calculate the greatest common factor of a and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 413 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4847 (base 14) to base 8.\nAnswer: 30477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n\/(((n\/n**4)\/n*n)\/n)*(n*n**2)\/n)\/(n*n**(2\/5))**(-4\/23) assuming n is positive.\nAnswer: n**(833\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3155*d - 3148*d + 6300*d + 8 = p, 5*p + 36 = 4*d for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**3 - 3*b**2 - 11*b + 14. What is the remainder when u(6) is divided by 29?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-9)\/(-21) + 17\/(-7)*-48. Suppose 97 - p = -5*z. Solve -z*i + 4 - 20 = 0 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-299)\/(-1311))\/(2665\/410)?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is (2\/6)\/(1 + (-12246)\/12249) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -17225a (base 12) in base 9?\nAnswer: -665607","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 6*c*o + 501*c + 14*o wrt o?\nAnswer: 6*c + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -43\/102 and -65\/33.\nAnswer: 1122","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 404891?\nAnswer: 31, 37, 353","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = -u + 17, 0 = -i - 3*u - 12 + 8 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 2223.17517 - 0.06654\nAnswer: 2223.10863","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 0.4 * 15.498\nAnswer: 6.1992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.29 - -0.16?\nAnswer: -51.13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-1\/18)\/(h*h\/h**1))\/((h*h**8)\/(h\/(h\/((h*(h\/(h*h**(1\/39)*h))\/h)\/h)))) assuming h is positive.\nAnswer: h**(-2827\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve g + 2*n = 4, -195*g - 5*n + 10 = -191*g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*r**4 + 0*r**4 + 4*r**4 + (0*r**3 - 3*r**3 + 0*r**3)*(r - r + r) + (1 - 1 + 1)*(3 - 5 + 0)*(0 + 0 - 3*r**4).\nAnswer: 4*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = w - 1, 3*r + 5*w - 25 = 1. Let k(m) = -m**3 + 7*m**2 - 2*m - 6. What is the remainder when k(6) is divided by r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) be the first derivative of k**7\/21 + k**6\/5 + k**5\/5 + 3*k - 3. Let w(a) be the first derivative of f(a). Factor w(v).\nAnswer: 2*v**3*(v + 1)*(v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1459.5 from 5.6.\nAnswer: -1453.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 6 = -i, -10*l + 9*l + 4*i + 4 = 0 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z = z. Suppose z = -q + 1 + 2. What is the first derivative of -q*d**3 + 2*d**4 + 2*d**3 - 2 + d**3 wrt d?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z - 10 = -5*k, 11*k = -3*z - 72 + 78 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1 and 9.42.\nAnswer: -9.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 0*j + 172 = 0. Is j <= -43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 12807, 25617, 38427, 51237, 64047?\nAnswer: 76857","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 63538 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 1820 = -127708. Suppose j = -5*j + o. What is the remainder when (-2)\/(4\/3 - j\/2667) is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -25179, 22.\nAnswer: -25179, -3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 5*j + 440 = 0, 0 = -3*u + 3*j - 6*j + 1284. List the prime factors of u.\nAnswer: 2, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 34? (a) -359 (b) 4 (c) 3\/52\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = -3*k**2 - 3*k. Let v(h) = -5*h**2 - 5*h + 1. Give -7*g(r) + 4*v(r).\nAnswer: r**2 + r + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-1\/5)*x*x*x**(-5))**(7\/10)\/(x**14*x\/x**(-2\/19)*x)**(-44\/7) assuming x is positive.\nAnswer: x**(329152\/3325)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is -278 less than -276?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44)\/sqrt(32) + -5*sqrt(88))\/(2*sqrt(4)\/sqrt(2) - (sqrt(2) + sqrt(98)*-1)).\nAnswer: -39*sqrt(11)\/32","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 23767 + -188825\/8. Let y = b - 160. Calculate the common denominator of y and ((-33)\/16)\/((-2)\/(-24)).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 6\/7, -0.1, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1809 - -2591. Let z = l - 781.99667. Round z to four decimal places.\nAnswer: 0.0033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 60287306?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.2? (a) -0.12 (b) -799 (c) 2\/3 (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -6982, -13687, -20390, -27091?\nAnswer: -33790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 22765339 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Determine b, given that 6*b**4\/11 - 195892*b**3\/11 - 653022*b**2\/11 - 587732*b\/11 - 130608\/11 = 0.\nAnswer: -2, -1, -1\/3, 32652","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*g**4 - 78338*g**3 - 626614*g**2 - 1488142*g - 939864 = 0. Calculate g.\nAnswer: -39161, -4, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 782823 is divided by 91?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 163937 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wj when two letters picked without replacement from xxtkttrktwxjxtwxt.\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, x: 2, b: 2, g: 1, d: 1, e: 1}. Give prob of sequence ge.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 1872376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14635.\nAnswer: 5, 2927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 51188 and 47972?\nAnswer: 9162652","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 1110*i**2 + 40*i + 388307 wrt i?\nAnswer: 2220*i + 40","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -18 (b) 9 (c) -4 (d) 0 (e) 2\/15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.479, -1\/4, 6.35 in increasing order.\nAnswer: -0.479, -1\/4, 4, 6.35","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 88 minutes after 10:35 AM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 67876684573 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 10 - -502?\nAnswer: 512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m**3 - m - 4. Let d(h) be the first derivative of -h**4\/4 + h**2\/2 + 3*h + 6. Determine -3*d(w) - 2*q(w).\nAnswer: w**3 - w - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*w - 202*w**3 + w + 141*w**2 - 584 + 583 - 143*w**2 as n*w + d*w**2 + k*w**3 + a and give d.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-320)\/660 + (-4)\/22. What is the closest to 1.5 in -2, j, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0\/(-3))\/(-1*2). Suppose h = 2*r - 3*r - 7300. What is r rounded to the nearest 1000?\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 45 + 113052052?\nAnswer: 113052130","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k*k**(-1\/28))\/k)\/(k**2*k)*(k\/(k**(6\/5)\/k))**(6\/25) assuming k is positive.\nAnswer: k**(-6453\/3500)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 269481 and 129.\nAnswer: 129","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 171015?\nAnswer: 3, 5, 13, 877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3 - (-32)\/12)*-639. Suppose 2*q + 41 + 18 = f, 3*q - s = -3*f. What is the remainder when f is divided by 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/(-6) + (-77)\/(-33). Solve u*t - t = 0 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -2403*s - 94. Let q be j(-19). Suppose -26*l = -20451 - q. Is l a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t = 2*u - t, -4*t + 18 = -u. Let z(l) = -l**2 - l - 3. Let p(r) = r**2 + r + 1. Let j(c) = -2*p(c) - z(c). What is j(u)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5\/2*k + 2 + 5\/4*k**3 - 23\/4*k**2 = 0. Calculate k.\nAnswer: -2\/5, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1423098 a multiple of 1038?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -368253 + 2032020093\/5518. Find the common denominator of r and 101\/186.\nAnswer: 16554","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -111101010010001 (base 2) in base 11?\nAnswer: -21635","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 minus -5.41534?\nAnswer: -12.58466","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4 - 5*p**2 + 2*p**2 + 3*p**2 + 6*p**4 with respect to p.\nAnswer: 24*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 0 (b) 82 (c) -8 (d) -13\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bfsmbus. What is prob of picking 2 b and 1 m?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 4, w: 4, u: 1, t: 3, f: 7}. Give prob of picking 3 f and 1 v.\nAnswer: 35\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 84*u + 51 - 488*u**2 + 85*u + 89*u + 88*u - 355*u wrt u?\nAnswer: -976","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.02 times -0.1\nAnswer: -0.002","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-7614)\/(-135) - -17)\/(2\/1390) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 88821129 and 697?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*i**2 - 2296890*i + 263785183605.\nAnswer: 5*(i - 229689)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the third derivative of 0 - 7\/360*y**6 + 1\/9*y**3 - 1\/24*y**4 + y**2 + 0*y - 1\/15*y**5. Factor x(d).\nAnswer: -(d + 1)**2*(7*d - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = g**2 - 15*g - 1. Let d(x) = 2*x**2 - 27*x - 3. Let r(o) = 3*d(o) - 5*h(o). Calculate r(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 276543 is divided by 5121.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -48 - -54. Let o = x + 15. Calculate the greatest common divisor of o and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -98 + 107. Solve 6*g - x*g + 3 = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.01 + 2.99. What is the nearest to -2\/5 in 4, n, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.2 + 0.4. Let t = 10 - 7. Let h be ((-2)\/t)\/(6\/(-9)). Which is bigger: h or p?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*w*x**2 + 8*b*w*x + 12*b*w + b*x**3 - b*x**2 - 5*w*x**4 - 7*x**4 + 49*x**3 + 1 wrt x.\nAnswer: 6*b - 120*w*x - 168*x + 294","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 equal to 19\/4083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/((z**(-1\/2)\/z*z)\/z)))**(-12\/19)*z**(-2\/3)\/(z\/(z\/(z\/(z\/(z**(-2)*z*z*z))))*z*z) assuming z is positive.\nAnswer: z**(-155\/57)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2185*t**3 + 2185*t**3 - 8752*t**3 + 2190*t**3 + 2190*t**3.\nAnswer: -2*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*s - 150 = 5*s. Let d(u) = -u**2 - 10*u - 9. Let t be d(-6). Suppose 3*z - s = -3*o, -2*z + 0*z + t = -5*o. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 777077264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -22 + 57. Suppose -q*v = -30*v - 495. What are the prime factors of v?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (11557\/381)\/((-49)\/(-42))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**2 - 22*c + 231. What are the prime factors of b(12)?\nAnswer: 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -14 + (-10 + 15 - 16 - -28)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1148, 2177, 3206?\nAnswer: 4235","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36315 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6.1 - -1.1. What is the second smallest value in 1\/3, 0, -3, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in fifty-one fifths of a century?\nAnswer: 12240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -11 - -7. Let p = 4.3 + o. Suppose -8191*u = -8187*u + 4. Which is the biggest value? (a) u (b) 2\/15 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (26292\/5008)\/((-2)\/(16\/1))\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1258 and 370.\nAnswer: 6290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: (-190)\/38*(-18)\/(-18)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1406298 is divided by 771.\nAnswer: 765","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 86, 534, 982, 1430, 1878, 2326?\n\"Answer: 448*s - 362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:21 AM and 3:11 AM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13.62*-252448.\nAnswer: 3438341.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3 in -15, 1, 1\/4, 1\/8, -0.2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 484 and 429?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) be the second derivative of -2978*p**5\/5 - 2107*p**4\/3 - 1032*p - 2. What is the third derivative of o(r) wrt r?\nAnswer: -71472","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 7*w**2. Let d(h) = -95837*h + 191704*h - 95853*h. Calculate l(d(x)).\nAnswer: 1372*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -600 divided by 6?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*x - 16 = -4*p, 3*x - 148*p = -147*p - 2 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2\/21 (b) -5782 (c) 1 (d) 37\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x + 24 = -2*m, 7*x - 4*x - 2 = m. Let k(h) = h**2 + 3*h. Let w(c) = -4*c**2 - 10*c. Calculate m*k(q) - 4*w(q).\nAnswer: 2*q**2 - 2*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -508.7 rounded to the nearest 10?\nAnswer: -510","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g + 11 - 16. Let z be ((-3)\/(-20))\/(3\/2). Which is greater: z or g?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -26296 = -683*u + 1707 for u.\nAnswer: 41","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -66*f**6 - 3*f**5 + 35*f**3 + 13*f**2 + 938*f + 1 wrt f?\nAnswer: -7920*f**3 - 180*f**2 + 210","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 38, 77, 120, 167, 218, 273?\nAnswer: 332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -5*h**2 + 28*h - 6. Let u(r) = -6*r**2 + 33*r - 5. Calculate -8*i(w) + 7*u(w).\nAnswer: -2*w**2 + 7*w + 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 5, -3, -28752?\nAnswer: -28752","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 30 + -93. Let z = -58 - d. What is the closest to z in 1\/3, -1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 34388276?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Does 16 divide 19954896?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v = 4*h - 32, 2*h = 2*v + 3*v - 5. Suppose 3*n + h*x - 2*x - 399 = 0, n - 4*x - 158 = 0. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 PM and 4:48 AM?\nAnswer: 466","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = -2*w**2 - 61 - 61 + 7*w + 4*w + 123. Calculate the remainder when 25 is divided by n(4).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 4 - 2) + -2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/40 of a litre?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 4, 8437\/38, -1\/8 in decreasing order.\nAnswer: 8437\/38, 5, 4, -1\/8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put together -86809742 and 1603998.\nAnswer: -85205744","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 2*b - 743 = -3186, -4*u = b - 1952. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2559 divided by -10\nAnswer: 2559\/10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1397.\nAnswer: 11, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 3\/8, 305\/3, -3 in increasing order.\nAnswer: -3, 3\/8, 3, 305\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -5.78\nAnswer: -5.78","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*p**4 - 5*p**4 + p**3 - 839*p**2 + 0*p**3 + 837*p**2 + 2*p**4 + 867*p + 2 to the form d*p**4 + z*p**2 + h*p**3 + n*p + s and give h.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1220278 or 1220280?\nAnswer: 1220280","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (17 - (0 + -33 + 21)).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*u**3 + 11*u**3 - 2*u**3 - 3*u**3.\nAnswer: 3*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 47 - 2*h - 19*h + 0*h - 26*h + h**2. Let f be q(46). Which is bigger: 4\/201 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-5)\/((-20)\/14)*64\/28)\/(-6).\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 + (-58 + 29 - -7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -b + 2*p - 0, 2*b - 33 = 3*p. Calculate the smallest common multiple of b and 6.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 minutes before 10:58 AM?\nAnswer: 5:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29145 is divided by 247?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6223 = 1192*m + 23229 + 173 + 7853 for m.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 11*o**4 + 39*o**2 + 66*o - 15 wrt o?\nAnswer: 132*o**2 + 78","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/v**(-6)*(v**1*v)\/(v**2\/v))**(-27) assuming v is positive.\nAnswer: v**(-135)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = c**3 - 2*c**2 - 2*c + 6. Let y be z(2). Suppose -1659 + 59 = -5*d - w, -311 = -d - y*w. Is 14 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/1 - 1*2. Suppose -a = 2*w + 8 + 15, -2*w = 5*a + 19. Let p = d - w. Solve 4*n + 0 - p = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 95 is divided by 94?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2.98 + 0.98. What is the closest to 0.1 in 0.5, 2\/5, x?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2421.\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = u**2 - 7*u + 8. Suppose -t + 6 = -1. Suppose 1 + t = h. What are the prime factors of c(h)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-7\/5)\/n)\/(n*(n**4*n)\/n*n))**28)**(-2\/25) assuming n is positive.\nAnswer: n**(2352\/125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**4\/5 - 2*y**3\/5 - 8*y**2\/5 = 0.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6*w + w - 5*w)*(0 + 3 + 0)*(2*w**2 - 138*w**2 - 13*w**2).\nAnswer: 4470*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f + 12. Let l be c(-10). What is the third derivative of -2*m**4 - 7*m**l - m**4 - 7*m**4 - 3*m**4 wrt m?\nAnswer: -312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 799 a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 8, -10797 in descending order.\nAnswer: 8, 2, -10797","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 98 and 44266355.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 174 is divided by 88?\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -333, -2691, -9093, -21561, -42117?\n\"Answer: -337*n**3 + n + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3\/4, -10750\/67, 3\/5, 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-4666)\/((0 + -2)\/(-2)). Is 20\/(-90) + p\/(-18) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00014249617 to 5 dps.\nAnswer: -0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 46379094805 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9672348 and 66444?\nAnswer: 9492","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.241818 to 4 dps.\nAnswer: 0.2418","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 76998.34 centimeters to millimeters.\nAnswer: 769983.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 5032 and 2141014?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**4 + 73*k**3 + 2*k - 5616.\nAnswer: -4*k**3 + 219*k**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -5305 - -5306. Let g(w) = -50*w**3 - w**2 + 2*w. Calculate g(m).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*h + 22 - 32 = 0. What is the third derivative of -5*t**h + 2*t**2 - 3*t**2 - 5*t**3 - 5*t**2 wrt t?\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 442 and 374.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of -l**6\/180 - l**3\/3 - 1. Let n(w) be the third derivative of v(w). Let s(r) = -r. Determine s(n(k)).\nAnswer: 2*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36112 + 27*f + 36112.\nAnswer: 27*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.35 - 0.05. What is the closest to 1\/2 in 2\/5, -3\/5, d?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6146 is divided by 385?\nAnswer: 371","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -137 - 184*g + 137.\nAnswer: -184*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**26*q**25*q*q*q*q**(-27)*q**(-7\/9) assuming q is positive.\nAnswer: q**(236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-791)\/(-14))\/((-1)\/2). Calculate the common denominator of -5\/8 and (i\/30)\/(3\/9).\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7 - -178613953679.\nAnswer: 178613953672","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*sqrt(126)\/sqrt(2) + sqrt(63) + sqrt(189)\/(-2*sqrt(3)))*6)\/((-1*(sqrt(324) + sqrt(324)*2 - sqrt(324)) - sqrt(324))*-2).\nAnswer: -sqrt(7)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -234.1 + 234.5. Which is the smallest value? (a) v (b) -140 (c) -0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -18\/137 - -1753\/14385. Is 0.2 != t?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -37*u + 34*u + 9*u. Let n(c) be the second derivative of -c**4\/24 - 3*c**2\/2 - 3*c. Let f(p) be the first derivative of n(p). Give g(f(d)).\nAnswer: -6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 426 = 205*s + 1246. Sort -30, 5, -1, s.\nAnswer: -30, s, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange v**2 - 3 + 115*v**3 - 92*v**3 - v + 1 + 0 + 4 to u*v**3 + p*v**2 + w + d*v and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -9*a - 5. Let l be g(-1). Suppose -10 + 1 = -3*i + 3*x, -3*x - 10 = -l*i. Is -0.07 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8 + -1 + (1 - 9 - (-491 + 485)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -125\/36 and 82\/164*((-8)\/(-12) + 111\/(-282)).\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-16*7\/(-64))\/((-10)\/8)\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3109*q**4 - 1633*q**4 + 0 + 971*q**4 - 12 + 4 - 134*q wrt q?\nAnswer: -45252*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2261 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -13 - (14 + (-7 - 8))\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*o**3 + 0*o**3 - 6*o**3)*(41*o**2 - 42*o + 42*o).\nAnswer: -82*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 164\/7 - 23. Is -1 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.4, -2.27, 2, 6?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 19646 plus 38.5013?\nAnswer: 19684.5013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -4 + 1 + 3*10\/6. Suppose 4*c = -j*d + 18, 8*d = 5*c + 5*d - 28. Suppose 5*x + 10 = 35. Solve -c*p + 3*b = 8 - 1, x*b = 20 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 10 in 4.79, 2, 0.8?\nAnswer: 4.79","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -6*z**2. Let m be (3 + -5)*(-6)\/4. Let j(s) = m*s - 3*s + 4*s**2 - 3*s**2. Determine j(x(a)).\nAnswer: 36*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 17 - 15. Suppose 0 = -4*g - 4*c, b = -5*g + 5*c + 22. Is g < 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -120 and -13.04?\nAnswer: 1564.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -19*d + 264. Let o(r) = 11*r - 152. Let k(c) = -4*f(c) - 7*o(c). Determine k(-12).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -31 + (-16 + (36 - 15) - (2 - 5)).\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, y: 5, r: 1, p: 1, x: 2}. Give prob of picking 1 p and 1 x.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 482\/241*((-10)\/((-18)\/9))\/((-1)\/2).\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from elvexeeellexelllelee. What is prob of sequence exel?\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 + 2. Suppose f*g = -2*g + 106. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20433 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 k(h) = 22*h**2 - 1. Suppose -2*v - 3 = 3*b, -b - 3*b + 2*v = 4. Does 9 divide k(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 y when two letters picked without replacement from {c: 5, t: 1, e: 4, z: 3, y: 3, k: 4}.\nAnswer: 3\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*n + 2*n + 2*n**3 + (-1 - n + 1)*(-2*n**2 - 2*n**2 + 2*n**2) + 4 + 2*n**3 - 4 - 5*n + 4*n - 5*n**3 + 2*n**3)*(-3*n + 3 - 3)*(-36 - 69 - 7).\nAnswer: 1008*n**4 - 336*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 7*v - 2 - 5*v)*(0*v**2 - 8*v**2 - 2*v**2).\nAnswer: -20*v**3 + 40*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 348 and 376.1.\nAnswer: 130882.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 (base 6) in base 3?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 165559 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2\/(18\/21)*45. Let h be (-57050)\/(-375) - (-2)\/(-15). Let d = h - u. Is d composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - 5*v**2 - 4*v - 3. Let y = -955 + 949. Give m(y).\nAnswer: 57","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 16699 - 217090\/13. What is the smallest value in 0.04, o, 0.06?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - r + 7686, -2*r + 3535 + 311 = 2*p. Is 22 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5378*a + 4511*a - 2 + 2.\nAnswer: 9889*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 214828096?\nAnswer: 2, 7, 23, 20849","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 0.092 (b) -2 (c) -3 (d) 367 (e) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 1784 - v + 0*v + 2*v - 1782. Give r(0).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 1, e: 2, y: 2, n: 1, w: 1}. What is prob of sequence eny?\nAnswer: 2\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 214233 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = w + 1. Let m be h(3). Let t be (10\/(-15))\/((-2)\/6). Suppose 4*n - t + 0 = u, -n + 77 = m*u. Calculate the least common multiple of 20 and u.\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 24 = -g. Let l(f) be the second derivative of 0*f**3 + 0*f**g + f - 1\/20*f**5 - f**2 + 0. Find the first derivative of l(z) wrt z.\nAnswer: -3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 330 and 31854?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 15603019 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/3, -5, 1, 8\/13, 2\/17 in decreasing order.\nAnswer: 1, 8\/13, 2\/17, -2\/3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1021816?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*q - 7 + 4 + 208*q.\nAnswer: 214*q - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -10733 - -10755. Let f(n) = -2*n**3 - 3*n**2 + n - 3. What is the remainder when f(-4) is divided by d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1.02? (a) -1 (b) 0.3 (c) -296\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 322, 324, 336, 364, 414, 492, 604?\n\"Answer: g**3 - g**2 - 2*g + 324","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 24908061179 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6258 + 6256. Let v be (6\/15)\/((-1)\/(-15)). Let o(z) = z**2 - 6*z + 5. Let j be o(v). Sort i, 0, j, -4 in decreasing order.\nAnswer: j, 0, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -55\/668 greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 4077073123 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (66\/(-4))\/(3\/(-6)). Find the second derivative of 56*r**5 + 1 - o*r - 1 - 57*r**5 - r**2 wrt r.\nAnswer: -20*r**3 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32565 + 128511 = 2598*r for r.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a - 5*s - 50 = 20, 4*a - s - 122 = 0. Let v be (7 + -1)*(-20)\/a. Let n be 4\/(v\/(-1) - 2). Solve 6 = n*l + 2 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 11 minus -1907568?\nAnswer: 1907579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 505?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.6 smaller than 521094\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -45*j**2 + 21*j**2 + 20*j**2. Let n(w) = 5*w. What is n(t(d))?\nAnswer: -20*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(1\/(-4)*234\/(-9))\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 3 (b) -579 (c) -9\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/(-66)*7\/(91\/26).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 4715?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 72\/34 + (-14)\/119. Is k\/(-10)*(-367065)\/27 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c - 2. Give u(-6).\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, -45, 1, 34.\nAnswer: -45, -28, 1, 3, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-41 - 1)*(-30)\/(-35). Let t = d + 1. Is 7819\/t*(-5 + 0) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -101\/450 and 26\/11.\nAnswer: 4950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 843714?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2 + 1. Let o(i) = 6*i**2 - 4*i**2 + 2*i**2 + 6. Suppose -352*j - 27 = -351*j - 4*b, 7*j - 3*b = -14. Determine j*o(z) - 6*p(z).\nAnswer: -2*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 2*h**2. Let z be (6\/18)\/((-2)\/6). Let r be m(z). Which is the second biggest value? (a) 1\/2 (b) -2\/5 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -27 - -27.13. Let y = n - -0.17. Let f = 797\/644 - -2\/161. Which is the closest to 1? (a) y (b) f (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = 2*v + 2*v - 2*v - 3*v**2. Suppose -z + 7 = -0*f - 5*f, 2*z - 5*f - 9 = 0. Let j(s) = 4*s**2 - 2*s. Let y(r) = z*n(r) + 3*j(r). Factor y(m).\nAnswer: 2*m*(3*m - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -5*u - 3. Let y be (-7)\/(-35) + 2\/(-10) + -20. Let t(h) = -16*h - 10. Let c(w) = y*r(w) + 6*t(w). Let z(j) = -18*j + 3. Calculate z(c(n)).\nAnswer: -72*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 times 0.5\nAnswer: 0.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 901 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*t**2 + 701325*t - 1051965 = 0.\nAnswer: 3\/2, 70131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n - 4*q + 424, -5*q + 227 - 71 = 2*n. What is the remainder when n is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + 4*i + i)*(-6*i**2 + i**2 - i**2) + (0*i**2 - 2*i**2 + i**2)*(5*i + 0*i - 7*i).\nAnswer: -10*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -45472, -93230, -140988?\n\"Answer: -47758*y + 2286","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -750*o*t*w + 7*o*t - o*w**2 - 1870*t + 6*w**2 wrt o?\nAnswer: -750*t*w + 7*t - w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/2)*m**(-2)*m)\/(m**(-3\/2)\/(m**(-3\/11)*m)))**(5\/9) assuming m is positive.\nAnswer: m**(40\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w\/(w*w\/w**5))\/(w*w**(27\/5)\/w) assuming w is positive.\nAnswer: w**(-2\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5774*n**2 - 4570*n**2 + 7429*n**2.\nAnswer: -2915*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/1)\/1*(-4)\/(-4).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 3.3?\nAnswer: 1.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = 2*d - 5. Let z be u(4). Let b be z + (-60)\/9 - -3. Do 0 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/(-50))\/(3\/30)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) be the first derivative of -5*w**4\/4 - 565*w**3\/3 - 8640*w**2 - 72900*w + 1377. Factor h(l).\nAnswer: -5*(l + 5)*(l + 54)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 - 4*z**3 + 3 + 8*z**3)*(-3*z**2 - z + z).\nAnswer: -12*z**5 - 6*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 641093179 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-42*c**4 + 18*c**4 + 21*c**4 + 24*c**2)*(-c + 0*c + 3*c).\nAnswer: -6*c**5 + 48*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 92522017 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u**5 + 9690*u**4 + 7776075*u**3 - 78489000*u**2 + 196830000*u = 0. Calculate u.\nAnswer: -1620, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 67, 85552 in decreasing order.\nAnswer: 85552, 67, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 7:36 PM?\nAnswer: 8:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1014536 is divided by 1708.\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 198 and 17247816.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -k + 129, 5*v + 222 = -3*k + 7*k. Is 52 a factor of 86\/4*17 - 21\/v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((n**(-9)\/(n*(n*n*n**(-3\/2))\/n))\/(n**(-4)\/n*n\/(((n\/n**(-2\/25))\/n*n)\/n)))**42)**40 assuming n is positive.\nAnswer: n**(-45528\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -h**3 + 10*h**2 - 13*h + 63. Let k be j(9). Let o = 109 - 39. Suppose -o - 2 = -4*l. Calculate the greatest common divisor of k and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 247*h**3*y**3 + h**3*y**2 + 435*h**3*y wrt y.\nAnswer: 1482*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -12863*n**3*v**6 + 3*n**3*v - 2*n**3 + 2*v**2 + 33 wrt v.\nAnswer: -1543560*n**3*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*t**3 + 23 - 7*t**2 - 21 + 3*t**2)*(3*t + 2*t - 6*t).\nAnswer: 4*t**4 + 4*t**3 - 2*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1238*t + 8279*t + 8704*t - 1015*t.\nAnswer: 17206*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-67*i**3 - 57*i**3 + 23*i**3)*(1 + 2*i - 1) to the form w*i**4 + x*i + d + k*i**3 + a*i**2 and give w.\nAnswer: -202","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = x**2 - 2*x - 24. Let t be d(-4). Suppose 2*v - 4 = t, a - 274 = -0*v - 2*v. Is a a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) be the second derivative of -11*g**6\/3 - 56*g**3\/3 + 14*g. Find the second derivative of h(d) wrt d.\nAnswer: -1320*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (22\/(-55))\/(1\/(-10)). Let d(u) = 6*u + 3. Give d(l).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (12091 - 4) + -8 + (-21 - -19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + -300. Let z = -89 - q. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63662 (base 7) in base 4?\nAnswer: -3312131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 4319817 + -4319812.6000675. Let t = n + -4.4. What is t rounded to five decimal places?\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = 46*m - 372. What is w(6)?\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v + 9 = 3*t - 1, -5*v + 10 = -3*t. Solve 5*o - 2*q = 8*o + 12, 0 = v*o - q + 33 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1520 to the nearest integer?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (((-18)\/81)\/(2\/24))\/((-15)\/90). Solve 5*g - m*n = -21*n - 40, -3*n - 9 = 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*v + 12*v = 0. Solve d + 4*d - 15 = v for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(-8)\/28 - 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 443*y - 8. Let l be g(3). Let z = -889 + l. Let p = z - 271. Is 12 a factor of p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 8 = -7. Let c be (-18)\/w - 8\/(-20). Suppose -y + c = y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 92432016 and 144.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 19 - 8. Suppose -t*i = -13*i + 4. What is the third derivative of 2*g - 4*g**5 - 2*g**2 - i*g + 0*g**5 wrt g?\nAnswer: -240*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3339652212 to the nearest integer?\nAnswer: 57790","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 414, 1\/2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1359656941 to the power of 1\/3, to the nearest integer?\nAnswer: 1108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 60851920 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 6\/25 of a millennium?\nAnswer: 2880","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -302 (base 4) to base 8\nAnswer: -62","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 3*c**4 + 9*c**2 + 39. Let w(t) = -t**4 - 4*t**2 - 19. Let x(o) = 4*f(o) + 9*w(o). Find the first derivative of x(q) wrt q.\nAnswer: 12*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3013.7 - -3014. Which is the closest to -1\/2? (a) 2\/11 (b) -1\/7 (c) k (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10.8669 times 0.06?\nAnswer: 0.652014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 2*t**2 - 45*t + 9. Let x(y) = y**2 - 20*y + 4. Let n(c) = -4*k(c) + 9*x(c). Let r(m) = 74*m**2 - 11. Give r(n(o)).\nAnswer: 74*o**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -51 (base 8) in base 15?\nAnswer: -2b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 2 + -a6?\nAnswer: -a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 - p. Let r be j(0). Suppose 12 = 3*f - r*f. Calculate the remainder when f is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -4 (b) 1\/5 (c) -2.4 (d) 3\/20\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -976, -3888, -8748, -15562, -24336?\nAnswer: -35076","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -3 - 2 - p + p - 2*p. Is u(-6) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrdrrrdrdrr. What is prob of sequence dd?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 750, 748, 746, 744?\n\"Answer: -2*r + 752","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 8443489 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3 - 1. Let s be 3\/(-7)*d\/(-3). Let n = -2.46 - -2.66. What is the closest to -0.1 in s, n, 3?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = p**3 - 21*p**2 + 15*p. Calculate the remainder when k(21) is divided by 104.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -6 + 11. Let i be q\/2*8\/5. Suppose t = -5, 5*l - 80 = -0*l + i*t. What is the tens digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 131985811 to the power of 1\/5, to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*n - 7*n = 20 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -4*j**2 + 6772*j**3 + j + 11*j**2 - 6773*j**3 + 4 - 3*j - j. Suppose -5*r = 3 + 2. Let c be r\/(0 + (-3)\/21). What is z(c)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*i + 7*i + 7*i)*(3*i + 14*i - 18 - 11*i) in the form x + t*i**2 + w*i and give w.\nAnswer: -198","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1048 divide 4371208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 158*n**2*z**3 - n*z**3 + 464*n*z + 2 wrt n.\nAnswer: 316*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0250154369 rounded to 5 dps?\nAnswer: -0.02502","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i**3 + 2*i**3 + 9*i**3 + (-2 + 4 + 0)*(-1 + 1 - 2*i**3) as f*i**3 + u*i**2 + r + c*i and give f.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -3*n**3 - 1602*n**2 - 9522*n - 105. What is b(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-13)\/(-5) - 4\/(-10). Suppose 5*z - r*n = 0, 4*z + 2 = -2*n + 24. Suppose -z*t - 2*t = -1085. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -323 + 2678*l + 323 - 2656*l.\nAnswer: 22*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hb when two letters picked without replacement from {x: 14, h: 1, b: 5}?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 147\/168*-4 + 2\/(-4).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express 49*t + 26*t + 21 - 12 - 11*t + 22*t**2 - 8 in the form m*t + y + i*t**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 4624*i**4 - 8*i**2 + 80454.\nAnswer: 18496*i**3 - 16*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -305103 (base 6) in base 8?\nAnswer: -57577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3 - (-47052)\/96 - 1\/8 is divided by 201.\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 1091993\nAnswer: 218398.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -1303*i**3*z + 2268*i**3 with respect to z.\nAnswer: -1303*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((-1*sqrt(432) - sqrt(432)) + -5 - (sqrt(432) + 2*(sqrt(432) + 1 - sqrt(432)))) + 2)*-6)**2.\nAnswer: 12960*sqrt(3) + 140868","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -25.026 * -2\nAnswer: 50.052","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3.05972 + -0.05972. Which is the third smallest value? (a) w (b) 1361\/4 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3724224 is divided by 38.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*p - 7*p + 3*p + 3*p in the form w + z*p and give z.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -254 + 255. Let z(n) = 17*n**2 + n - 1. Determine z(p).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.389 + -1.389. What is the third smallest value in -0.06, u, -4?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-90))\/((-300)\/(-225))?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -47.152*0.0826\nAnswer: -3.8947552","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -580 = -w + 1420. Let p(y) = 0 - 1995*y + w*y + 4 + y**2. Let o(g) = -5*g + 1. Let s be o(1). What is p(s)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uihuihmucihuhuuuiiim. What is prob of sequence mhu?\nAnswer: 7\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -26 + 21 - 3\/(9\/(-14))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 25.6 (b) 5 (c) 9\/37\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 1924?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r. Let l(t) = 19*t. Let d(z) = 6*j(z) + l(z). Let b(x) be the first derivative of 3*x**2\/2 - 30. Calculate b(d(u)).\nAnswer: 75*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 11989 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 620 + 323 = -111*w - 611 for w.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the second derivative of -p**5\/4 + 3*p**3\/2 + 4*p. Find the second derivative of n(l) wrt l.\nAnswer: -30*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 48 + 579. Suppose -y + k = 2*y. Suppose -u - 2*u + 169 = 4*f, -4*f - y = -3*u. Calculate the highest common divisor of 7 and u.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4652488890 a multiple of 210?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 18921638 to the nearest integer?\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -0.849 + 0.089. Let l = c + 0.75999688. What is l rounded to 7 decimal places?\nAnswer: -0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 2591 and 2835.931?\nAnswer: 244.931","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 888*x + 61 - 61.\nAnswer: 888*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 7600*u - 3799*u - u**2 + 14 - 3796*u. Give r(6).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32440 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*s**3 + 5907*s**2 + 90048*s - 7218288.\nAnswer: 3*(s - 28)*(s + 44)*(s + 1953)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 446*v**2 - 19*v - 74. Is i(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:08 AM and 10:56 AM?\nAnswer: 528","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*c - 17 - 7. Let t be 510\/8 - (75\/20 + -4). Let p = 69 - t. Solve 5*l + p*f = -45, -c - 13 = 3*l + f for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 119360\/10444*(-1)\/(-16)?\nAnswer: 5\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -q**3 - 15*q**2 + 4. Let x be j(-15). Is 128 - (-2 + x)*1 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) be the first derivative of -k**6\/60 + 2*k**3\/3 - 20*k - 214. Let o(s) be the third derivative of h(s). Let m(l) = 16*l**2. Calculate o(m(d)).\nAnswer: -1536*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + 2284 = 3*u, 2*u - 5*d = 2548 - 1018. Calculate the least common multiple of u and 380.\nAnswer: 760","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1045*s**4 + 138*s?\nAnswer: 12540*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0 + v**2 + 0)*(5*v - 5*v + v)*(45*v - 2*v - 26*v) to x*v**4 + d*v**3 + h*v**2 + s*v + k and give x.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.25 - -0.65. Let t = -0.5 + y. Let f = 3\/14 + 1\/14. Which is the smallest value? (a) t (b) 4 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -u**2 - u - 1. Let b(x) = 6*x**3 - 42*x**2 - 42*x - 42. Give 4*b(a) - 168*o(a).\nAnswer: 24*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 313 minutes after 9:23 AM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 173918071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by (-4)\/10 + (-160)\/(-25).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0\/1)\/((-1)\/(-1)). Suppose -4*i + 4 = 0, 2*i = -2*s - 0*s + 18. Let t(w) = 4*w - 20. Let r be t(s). Solve l = -6*p + 2*p - r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1\/2, 1, -1\/4, -2\/857, -0.4.\nAnswer: -0.4, -1\/4, -2\/857, 1\/2, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = a**2 + 15*a - 10. Let b(l) = 3*l**2 + 60*l - 17. Let y be b(-20). Let g be k(y). Solve p - 16 = -p + 2*w, -w - g = -5*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5251859 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10101101010000 + -11110?\nAnswer: -10101101101110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sum -0.0380987902 and -27.\nAnswer: -27.0380987902","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 40 + 0 + 451 + -476\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (155\/(-124))\/((-5)\/8264)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 - (-147 + 70 - -116)?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -5611\/12 (b) 5 (c) 1 (d) 10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express (399*z**2 + 7*z - 100*z**2 - 6*z)*(3*z + 8 - 3 + 6) in the form o + r*z + s*z**3 + t*z**2 and give t.\nAnswer: 3292","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 266 is divided by 82?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -0.4 + 0.4. Let t = k - -1. Let n = t - 0.7. Sort 0, -5, n in increasing order.\nAnswer: -5, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 162 is divided by 43.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.5, 2, 4, -5, 628 in decreasing order.\nAnswer: 628, 4, 2, -0.5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 5898 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (6\/15)\/((-1)\/(-20)*-2)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.1 + -1.1. Let a = -1.5 + 1. Let m = -4.5 + a. Put -0.5, b, m in decreasing order.\nAnswer: -0.5, b, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 4*f - 1 = 0, -3*m + 1131 = -41*m - 5*f + 1027 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (0 - (-2 - 0 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2376 and 615978?\nAnswer: 2463912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v**3 + 24*v**2 - 35*v - 215. What is k(22)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -k**3 - 4*k**2 + 25*k - 35. Let u be m(-8). Suppose 0 = u*b - 31*b + 1500. Round b to the nearest ten.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 339407\/110 - 15427\/5. Let n = 36231\/16 - 9081\/4. Calculate the common denominator of n and g.\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (335961\/1656 - 204) + 1631\/1464\nAnswer: -2\/183","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the second derivative of -7*f - 1\/2*f**3 + 0 + 3\/2*f**2 + 1\/4*f**4 + 1\/20*f**5. Let u(d) = 8*d**3 + 22*d**2 - 22*d + 22. What is -6*u(r) + 44*z(r)?\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-171)\/9 - -10 - -16?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8 + 7)*(-1 - -1). Let v be (0\/(t + 4))\/1. Let u be (-1 - v)\/(136\/(-24)). Is u not equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-2)\/(-9) - (-12)\/(-27). Let h = -111 - -110.93. Let v = -0.03 + h. Which is the closest to v? (a) 2 (b) -0.5 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 79\/30 and 1 + 3 + (-678)\/36.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x*x**(2\/7)*x)**(-2)\/(x**2*x)**(-25))\/((((x\/x**(-2\/3))\/x)\/x)**(-29)\/(x**2\/x**(-6\/13))) assuming x is positive.\nAnswer: x**(17260\/273)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*(sqrt(119) - (sqrt(119) + sqrt(119)*2)*-5)\/((-2*sqrt(28))\/sqrt(4)).\nAnswer: 40*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 13*l + 119. Let j be v(-9). What is the third derivative of -25*r**j + 174*r**3 - 38*r**3 - 5*r + 4*r wrt r?\nAnswer: 816","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify s**(2\/45)\/s**(3\/7)*(s*(s\/(((s*s\/s**(1\/19))\/s)\/s))\/s)\/s**(-4\/13) assuming s is positive.\nAnswer: s**(75953\/77805)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 8*i - 66. What is the second derivative of 5*t**3 + 18*t - 13*t**3 - 4*t**5 + 9*t**3 - i*t**5 wrt t?\nAnswer: -300*t**3 + 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1211 - 1209. Let g(j) be the third derivative of 0*j - 7*j**y + j**3 + 0 - 1\/6*j**4 - 1\/30*j**5. Determine r, given that g(r) = 0.\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 5940 and 234900?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 times 58?\nAnswer: -11.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -214\/13 - -1739\/78. Find the common denominator of s and -97\/216.\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -375 + 967. Suppose -5*u = 3*d - 444, -u = -3*d - d + t. What is the units digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -19089 by -37.\nAnswer: 19089\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -8945 + 9307. Calculate the remainder when m is divided by 9.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 2*q**2 + 6660*q + 59778 = 0.\nAnswer: -3321, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24616*c + 2 - 2 - 55578*c + 30959*c.\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -4b + -83d99?\nAnswer: -83de5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**(-7)\/f)\/f**9*(f**(-2\/9))**(-43) assuming f is positive.\nAnswer: f**(-67\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = 2*r - 4*g, 38*r + 5*g + 12 = 39*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (191*t + 564 - 564)*(3 - 2 - 3) + (5 - 1 + 0)*(2*t - 2 + 2) + (-7*t + 2*t - 7*t)*(7 - 2 - 3) to the form y + w*t and give w.\nAnswer: -398","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 61342898 to the power of 1\/6, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 9.201345um to millimeters.\nAnswer: 0.009201345","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(102)*-2 - sqrt(102))\/sqrt(6) + 1.\nAnswer: -3*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.04145619255 to 4 decimal places.\nAnswer: -0.0415","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*u + 20 = -2*g - 0*u, u = 4*g + 4 for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -y + 3377*y**3 - 3383*y**3 + 0*y + y.\nAnswer: -6*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 11 - -4. Let q(c) = c**2 - 9*c + 1. Let o be q(7). Let d = o + w. Solve -2 = 2*m - 2*h, -3*m - d*h + 3*h - 3 = 0 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 6\/17, 2\/5, 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-522)\/351 + 10\/65. What is the biggest value in r, 3, -3\/5?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 83\/44 and -25\/104?\nAnswer: 1144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Total of 423478 and 0.1.\nAnswer: 423478.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -700, -2718, -6072, -10756, -16764?\n\"Answer: v**3 - 674*v**2 - 3*v - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*s + 5*z - 10, 2*s - 3*z - 2*z = -10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -1.1 (c) 0.07 (d) 0 (e) 11\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 16971 a multiple of 114?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -69 + 415\/6. Which is smaller: v or -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102 (base 3) in base 7?\nAnswer: -14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*t - 3 = -9*t + 3*y, -3 = 3*t + y for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*i + 2*i + 2*i)*(6*i + 4*i**2 - 6*i)*(95*i**2 - 7*i**2 + 0*i**2).\nAnswer: 704*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*((sqrt(1216) + sqrt(1216) + -3*-3*sqrt(1216) - sqrt(1216)) + sqrt(1216))*2)**2.\nAnswer: 9416704","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ss when two letters picked without replacement from iffilisfmfsfim.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*q - 2*u - 133, -12*u = -8*u + 16. Let x(d) be the first derivative of q + 40*d + 25\/3*d**3 + 55*d**2. Factor x(j).\nAnswer: 5*(j + 4)*(5*j + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -c - 3*c - 8, -5*g = -4*c - 9. Let t be (-7 - 4\/(-2))\/g. Suppose 0 = 3*w - 0 - 3. Put t, w, -2 in decreasing order.\nAnswer: w, -2, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:22 PM and 5:01 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f = 8, -3*i + 4*f - 24 = i. Which is the third biggest value? (a) 4 (b) -0.3 (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*s - s + 2*s)*(-1 + 6*s + 1)*(2*s + 0*s - s).\nAnswer: -12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2070 and 202229340.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21278108 is divided by 117?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 9702 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(m) = 24*m**2. Let w(l) be the first derivative of l**2 - 9. Determine c(w(i)).\nAnswer: 96*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -j**2 + 434*j - 3821. Give b(9).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: What is -2663 (base 15) in base 2?\nAnswer: -10000000000001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6997 + 6999. Let f(m) = -m**3 + 3*m**2 - 2*m - 1. Let v be f(2). Which is smaller: b or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 17 + 22 - 7*x - 39. Let w(d) = -5*d**3 - 3*d**2 + d + 3. Let a be w(-2). Let j(s) = -a + 29 + 2*s**2. Determine j(i(f)).\nAnswer: 98*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**3 + 216*f**2 - 2050*f - 2. What is the remainder when 160 is divided by c(10)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 9 - 4. Suppose 3*x - 85 = m*p, -3*p + 5*p = 4*x - 104. Suppose 0*v - 4*v + 36 = 0. Calculate the remainder when x is divided by v.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c + 3*k + 9 = 0, -5*c + 15 = 5*k. Suppose 2*z - 5*g = -16, 5*z = -5*g + 28 + 2. Solve -c*o - z*o = 15 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 3*f = 0. Let h be 3 + (3 + -3 - f). Suppose -6\/5*p**5 + 0 - 2*p**h + 0*p + 2\/5*p**2 + 14\/5*p**4 = 0. Calculate p.\nAnswer: 0, 1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18496 is divided by 1680.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-22)\/(-4) + 1\/(-2). Suppose j*w - 477 = n, -2*w + 3*n + 386 = 2*w. Let y = w - 68. Is y a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 15373457 is divided by 132?\nAnswer: 77","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a litre in millilitres?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2127*m**2*n**2 + 31851668*m**2*n - 7*n**2 wrt n.\nAnswer: -4254*m**2 - 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 458231?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-112)\/(-16))\/(80\/(-1040)).\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 5*i**2. Let j(o) = -o**2 + 42. Let a(w) = w**2 - 1. Let y(p) = 3*a(p) + j(p). Determine y(m(u)).\nAnswer: 50*u**4 + 39","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**5\/6 - 89*a**4\/3 - 547*a**3\/6 + 362*a**2\/3 = 0.\nAnswer: -4, 0, 1, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -2672 + 1926510\/721. Which is smaller: j or 1?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-3)*48\/128*0\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 less than -1\/46972?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of -1.60551111 and -4.\nAnswer: 6.42204444","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1900 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6 - (-19250)\/462.\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from {c: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 4*g = -0*g - 1071, -4*i + 1428 = g. What are the prime factors of ((-6)\/(-4))\/(4 - i\/90)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*a**2 + 13597940*a + 90653600 = 0.\nAnswer: -20\/3, 906536","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 3*r - 11 = 2, 5 = -2*a - r. Suppose b + 2*t = 0, 0*b + t = 4*b - 9. Sort a, 0.5, b.\nAnswer: a, 0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that x**4\/5 + 24*x**3\/5 - 176*x**2\/5 - 768*x + 5120 = 0.\nAnswer: -20, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Sort -10, 30496, -2, -3, 1, -6, 3.\nAnswer: -10, -6, -3, -2, 1, 3, 30496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 775 and 16833?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2132 (base 4) to base 6.\nAnswer: -422","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**5 - 4*j**5 + 3*j**5 + (j**3 + 2 - 2)*(4*j - 2*j**2 - 4*j) - 530*j**5 + 595*j**5 + 209*j**5.\nAnswer: 273*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.6 - -2.4. Let m = 0 - d. Let s = -2\/15 + 1\/120. Which is the nearest to 2? (a) 4 (b) m (c) s\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-45 + 46)*(31 + -53).\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 16 and 7405.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 46.3 + -13.3. What is the third smallest value in -3\/2, z, -3\/7?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -r**3 + 5*r - 5*r + (-r**2 - r**2 + r**2)*(4*r - 4*r - 2*r) - 3*r**3 - 360*r**2 - 5*r + 360*r**2 - r**3 + 3*r - 3*r.\nAnswer: -3*r**3 - 5*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17237 is divided by 4296?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 9:26 PM?\nAnswer: 231","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -345 (base 7) to base 12\nAnswer: -130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bayfyyifayyyyaaa. Give prob of picking 1 i, 2 y, and 1 b.\nAnswer: 3\/260","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*v**4 - 720*v**3 - 3295*v**2 + 49230*v + 51800 = 0. What is v?\nAnswer: -10, -1, 7, 148","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1876\/5 + 375. Which is the nearest to -1? (a) i (b) 4 (c) -0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 22*h**2 - 8*h - 3*h + 6*h + 5*h.\nAnswer: 22*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11755\/12 + 2957\/3. Let r = 737\/8 - 371\/4. Find the common denominator of r and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of -2*v**3\/3 + v**2\/2 - 40*v + 18. Find the first derivative of q(y) wrt y.\nAnswer: -4*y + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 45*h = 66*h - 84 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = 5*z + 11, -4*s - 3*z + 2 + 5 = 0. Suppose 10 = -s*n + 50. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 22 + -1 + -3 + -1887 + 1824.\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 880 a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a decade in months?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 127495702*o**4 - 509*o + 1190?\nAnswer: 1529948424*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000052784 rounded to seven decimal places?\nAnswer: -0.0000528","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t*t*t*t\/((t\/t**(2\/9))\/t*t)*t*t)**31*t**(-1\/2)\/t*t\/(t\/(t\/((t*t\/(t\/t**(-2)))\/t))) assuming t is positive.\nAnswer: t**(2941\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*y + 10*y = 5*o - 3757, 0 = -2*y + 3*o + 7566. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1522, -635, 1642, 5963, 12982, 23353, 37730?\nAnswer: 56767","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 4 + -1. Suppose 16 = -y*j + 4. Let h(k) = -6*k - 2. Suppose 2*d + 0*d = 10. Let b(u) = -7*u - 3. Calculate d*h(a) + j*b(a).\nAnswer: -2*a + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-21)\/168*(-24)\/310)\/(9\/15)*-1.\nAnswer: -1\/62","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 167*p**2. Let b(g) = 4*g + 10. Suppose -66 = 37*j - 15*j. Let f(h) = 2*h + 6. Let m(n) = j*b(n) + 5*f(n). Determine s(m(w)).\nAnswer: 668*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (85 - 82) + (0 - 31 - -5)?\nAnswer: -23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9233650?\nAnswer: 2, 5, 151, 1223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 3*w + 2 = 0, 30 = 5*g - w + 6*w. Solve -g*k - k + 19 = 3*v, 2*k - 12 = v for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 441651?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = -h + 5, -4*r - 32 + 10 = 2*h. Let y be (-14 - 218)\/r + (-3 - -1). What is the highest common divisor of y and 70?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 41\/4504?\nAnswer: 41\/4504","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 72351947 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 160 + 12 - 100 - 73 + 193*w.\nAnswer: 193*w - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1161.36*-1121.\nAnswer: 1301884.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1599, -1704, -1857, -2058, -2307, -2604, -2949?\nAnswer: -3342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 110 divided by 2\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 26*q**4 + 186*q - 187*q - 2*q**3 + 10*q**4 in the form m*q + d + l*q**3 + y*q**4 + h*q**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = -0*g - 75*z + 2155, -5*g + 2*z - 6*z + 106 = -3*g for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*l - 52 = 3*l. Solve x = -5*q - l - 9, -5*x = q + 14 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*v = -5*p + 86, 807*v + 9 = 810*v for p.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 156 is divided by 23.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -158*n**3 - 2090*n*p**2 - n - 1401715*p**2 + 6*p wrt n.\nAnswer: -474*n**2 - 2090*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -476*t + 14971 = -82*t + 4727 for t.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be -32 + (-5799)\/(-180) - (-1 + (-8)\/(-10)). Let l(f) be the second derivative of -m*f**4 + 10*f**2 + 0*f**3 + 31*f + 0. Let l(t) = 0. What is t?\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -5*m**2 + 5*m + 20. Let f(w) = -11*w**2 + 14*w + 41. Let b(s) = -4*f(s) + 9*g(s). Give b(-12).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = f**3 + 0*f - 8*f + 5*f + f**3 - 5*f**2. Let o(z) = -2*z**3 + 6*z**2 + 3*z. Calculate -6*a(q) - 5*o(q).\nAnswer: -2*q**3 + 3*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.2, 6, -1.1092, -3 in decreasing order.\nAnswer: 6, -0.2, -1.1092, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 366\/43 or 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round 3.6289699 to the nearest integer.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2 + -3 + 6 + (-10 - -7). Let d(z) = 2*z**3 - 4*z**2 + 5*z - 5. Let y be d(q). Solve 0*t + y = 5*t for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/(-39)*3\/(-2). What is the tens digit of i\/((6\/25)\/6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v + 1735*y = 8*v + 1737*y + 15, 2*v - 4*y - 38 = 0 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in six fifths of a decade?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -69\/6182 and 59\/6.\nAnswer: 18546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 8*n - 9. Let d be p(-6). Suppose d*q = 4*q. Suppose 3*v + u = 6*v - 24, q = -5*u. What is the least common multiple of v and 6?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-20))\/(111\/185)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41086597 is divided by 91.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 27 = 3*m, -5*m - 7*k = -2*k + 45. Suppose i - 465 = 2*i - 4*g, 3*i + 2*g = -1395. Let o be (-4)\/(-6)*m\/i. Which is bigger: 0 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5\/4 - 97*i**4 + 9111*i**3 + 116621*i**2\/2 - 36445*i\/4 - 116427\/2 = 0 for i.\nAnswer: -6, -1, 1, 197","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/9? (a) 243 (b) 0 (c) 58 (d) 1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -68 - -73 - (-1 + 1 - -27)?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8784.256 + -8830. Let q = 59 - 105. Let b = q - w. What is b rounded to 2 dps?\nAnswer: -0.26","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**3\/6 + h**2\/2 + h + 606. Let z(y) = -2*y - 1. What is 3*u(v) + z(v)?\nAnswer: v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (212\/(-212))\/((8\/400)\/(1\/((-3)\/3)))\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 0.1, -1\/8, 7?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/119? (a) -5 (b) 1\/5 (c) 936 (d) -1 (e) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 = -8445*l + 8457*l. Solve 9*g - 8*g = l for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**2 + 4*k + 1. Let d be y(-6). Let s = d + -27\/2. Let f be (1\/(-10))\/((-1)\/(-4)). Which is the smallest value? (a) f (b) s (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*r + r - r)*(r + 2*r - 3909*r**2 + 3927*r**2).\nAnswer: -54*r**3 - 9*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 12*1539\/270*((-1160)\/192)\/29?\nAnswer: -57\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -77 = -i - 2*y + y, -5*i + 375 = -5*y. What is the remainder when i is divided by 39?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:36 AM and 6:32 AM?\nAnswer: 176","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 - -4. Let n(f) = f**3 - 3*f**2 - 5*f + 1. Suppose -3*h - 16 = h, 12 = 4*z + h. Let i be n(z). Which is the second smallest value? (a) i (b) q (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -0.2 (b) -1 (c) -1.1 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 2539.\nAnswer: -1\/2539","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1297298?\nAnswer: 2, 648649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 33396 is divided by 11107.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -109.5*-0.03\nAnswer: 3.285","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 11 + 5532*j - 5499*j - 11 - 137*j**2 - 116*j**2 as r + l*j + n*j**2 and give l.\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-36)\/(-24)*(10778\/(-2142) + 5)\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 7188617970 to the nearest integer?\nAnswer: 291","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p - 183 = 4*i - 7*i, 4*p - 142 = -2*i. What is the remainder when i is divided by 21?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4 - (-2 - -7)) + 23\/21.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 z when three letters picked without replacement from bizbzzzbbzizibbibbzz.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 200 and 65475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = 21*f**4 - 161*f**3 + 4*f**2 + 209*f + 4. Let l(y) = 6*y**4 + 3*y**3 + y + 1. Let b(q) = -j(q) + 4*l(q). What is the third derivative of b(o) wrt o?\nAnswer: 72*o + 1038","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -43221568 less than -43221572?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 13 - 13 + 478*j - 4061*j to c + p*j and give p.\nAnswer: -3583","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -6216 rounded to the nearest 1000?\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -1\/27 (b) 0 (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2205771103 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 295788.1 micrograms?\nAnswer: 0.0002957881","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 126 and 89418.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -2\/11, 0, -1\/3, -3, 2?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/18356 and 85\/5788.\nAnswer: 26561132","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z + 1. Let f(g) = g**2 - 8*g - 4. Let t(h) = -2*h**2 + 15*h + 8. Let a(o) = 7*f(o) + 4*t(o). Determine a(q) - 2*i(q).\nAnswer: -q**2 + 2*q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (2\/4)\/(14\/(-644)). Which is smaller: r or -22?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 20*s + 4. Let k(y) = -21*y + 5. Let z(j) = 42*j - 12. Let f(o) = 9*k(o) + 4*z(o). Give 4*f(a) + 3*g(a).\nAnswer: -24*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -257 divided by -6.\nAnswer: 257\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qaqaaqqqaqqaaa. Give prob of sequence qa.\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(h) be the first derivative of -1\/2*h**2 - 1\/3*h**3 + 0*h - 6. Let k(q) = 535 - 537 - 5*q + 2*q**3 - q**2 - 4*q**2. Give -k(w) + 5*o(w).\nAnswer: -2*w**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 16140*u + 305131. What is p(-19)?\nAnswer: -1529","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand r**4 - r**4 - r**4 - 75*r**2 - 8*r**4 + 75*r**2 + (5 + 0 - 4)*(4*r**3 - r**3 - 5*r**4 + 3*r**4).\nAnswer: -11*r**4 + 3*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = -4*t - 12*t + 28805 + t**2 - 28900. Let j be s(21). Solve 0 = 5*b + 5, 0 = 2*y + 5*b - 3*b + j for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2378.998363 + -2379. Round x to four decimal places.\nAnswer: -0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 2238, 2962, 4168, 5856, 8026?\n\"Answer: 241*v**2 + v + 1996","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) be the first derivative of -1\/25*d**5 - 1\/5*d - 1\/5*d**4 - 2\/5*d**3 + 4 - 2\/5*d**2. Factor u(v).\nAnswer: -(v + 1)**4\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 2 - h**2 + (h + 3*h - 2*h)*(0*h - h + 3*h) - 2*h**2 - 2*h**2 + 2*h**2 + 48*h - 2*h**2 - 29*h - 30*h + 6*h**2 - 79*h**2 - 27 + 26.\nAnswer: -74*h**2 - 11*h - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a minute in milliseconds?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 112766519?\nAnswer: 251, 449269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s - 24*o = -28*o + 3 - 24 - 5, s + 15 = 5*o for s.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-6)*(-70)\/(-105).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 9\/(355\/(-120) + 3). Suppose 141*w - 145*w + g = 0. What is the remainder when w is divided by 28?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g - 2*y + 9, -3*y + 4 = -5. Which is smaller: g or -0.25?\nAnswer: -0.25","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 11 = 3*a, 0*n + 4*n - 33 = -5*a. Calculate the greatest common divisor of 40 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 100\/250 - ((-3)\/5 + 0) - 6\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**3 - 3*h**2 - 5*h + 6. Suppose 3*j - 8*j = 0. Suppose 2*g + j*g = 8. Let f be v(g). Solve -3*a = f*a - 5 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = 2*d**2 + 2*d - 1. Calculate the lowest common multiple of v(-2) and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 2756972?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 6, -k + 5*k + 3592 = -4*s. What is k rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 5*r**3 - 1. What is the units digit of i(1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -854, -852, -850, -848, -846?\nAnswer: -844","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h + 4 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-i + i - 3*i)*(-1 - 2 - 1) + (-2 - 2 + 3)*(5*i - 5*i + 5*i) - 2*i + 4*i - i - 3*i + 2*i + 0*i + (2 - 1 - 3)*(-2*i - 2*i + 5*i) to u*i + r and give u.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30154398 and 20102932.\nAnswer: 60308796","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 474, 6, 0.1, -1.\nAnswer: -1, 0.1, 6, 474","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6\/(-1) - 2 - -6. Let d be q\/(-7) - 10\/35 - -48. Calculate the greatest common factor of d and 54.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 384.74t to milligrams.\nAnswer: 384740000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1106547 (base 9) to base 3.\nAnswer: 1010020121121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 204.9 + -43.4. Let w = 687 + -598. Let i = w - u. Round i to the nearest 10.\nAnswer: -70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -255 + 143. Let i = 111.39 + s. Let j = 0.61000044 + i. Round j to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 6:25 AM?\nAnswer: 4:56 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1 - -2)*(-4)\/3. Let j be (-2)\/k - (-5)\/2. Find the third derivative of 2*w**2 - j*w**6 - 3*w**5 - w**5 + 4*w**5 wrt w.\nAnswer: -360*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -277*a + 541?\nAnswer: -277","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 1 - 3 = -c, -h = -4*c + 1. Suppose -3*f - 2*u = -19, 4*u = -c*f - 2*f + 10. List the prime factors of f.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 24767 - 74297\/3. Let l(j) be the second derivative of 2\/3*j**3 + 1\/45*j**6 - 5\/18*j**4 + s*j**2 - 1\/20*j**5 + 0 + 41*j. Solve l(w) = 0 for w.\nAnswer: -2, -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*j + 2*j - 3*j - 5*j + 0*j + 3*j + (3 - 1 - 3)*(-j + 2*j + j) - 2 - 2*j + 2 - 2*j + 2*j - 2*j.\nAnswer: -11*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 99*r**5 - 765*r**4 + 8*r**3 - r**2 - 3*r - 12670501.\nAnswer: 5940*r**2 - 18360*r + 48","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 100500105?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*j + 4*j - 9. Let d be 6*-1*j\/(-6). Put -2, 3, d in descending order.\nAnswer: 3, -2, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7\/24, -12, 265?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-5)\/(l*l*l*l**(1\/8)*l))\/(l**(-18)\/(l\/l**(-18\/11))) assuming l is positive.\nAnswer: l**(1013\/88)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4286101?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 191 minutes before 11:19 AM?\nAnswer: 8:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -1.1 - -7.1. Let m = -6.3 + o. Let l = 0 - -0.06. What is the second biggest value in l, -2\/11, m?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -76*s**2 - 961*s - 2497. Calculate v(-9).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve z - 23 = -4*g, 5*g + 75*z = 77*z + 32 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.3 - 0.2. Let w = b - -0.1. Let l be 19\/684 + (-2)\/8. Sort -1\/3, w, l in decreasing order.\nAnswer: w, l, -1\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1*(sqrt(85) + sqrt(85)*4*-5 + sqrt(85)))\/(-3*sqrt(245)*-1)*-2)**2.\nAnswer: 2448\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -962 + 962.491. Let a = l - 0.491000198. What is a rounded to seven decimal places?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 + 2*p - 3. Let z be c(-4). Solve -4 = z*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the second derivative of -a**4\/12 - 3*a**3\/2 + a**2 + 33*a. Calculate g(-10).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.9? (a) -326 (b) 0.3 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -775 (base 10) in base 6?\nAnswer: -3331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -6*n - 1. Let a(g) = 17*g - 8. Calculate -a(r) - 4*h(r).\nAnswer: 7*r + 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 8213769 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -11 + 11. Suppose r*l + 30 = -5*l. Let f(j) = -7*j**3 - j**2 - 4*j. Let b(t) = -6*t**3 - t**2 - 3*t. Calculate l*b(c) + 5*f(c).\nAnswer: c**3 + c**2 - 2*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -1. Let a(j) = 8*j**3 - j**2 - j + 1. Let v be a(1). Let d = v + k. What are the prime factors of d?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9.686 rounded to 1 dp?\nAnswer: -9.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 127549 is divided by 17?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 3\/((90\/4)\/(-3)). Let i = 20 + -20. Let l = 0.2 - i. Which is the closest to l? (a) m (b) 5\/2 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-1036)\/(-6))\/(37664\/(-528)). Is -1 < p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8265)\/6 - -5)*(-7)\/(-70). Are i and -138 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (36\/(-648))\/(4\/(-24)*1).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/(-60))\/((-102)\/(-85))\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 591 minutes after 12:35 PM?\nAnswer: 10:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 54, -996 in descending order.\nAnswer: 54, -2, -996","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*h - 765 = 12*h. Suppose 0 = -3*v + b + h, v + 23 = -4*b + 121. What are the prime factors of v?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 108.38*-0.4559\nAnswer: -49.410442","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -3*m**3 + 112*m**2 - 43*m + 94. Give i(37).\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 1156?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 433787 to the power of 1\/6, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -3.6. Let t = -1\/2 - -1\/3. Which is the biggest value? (a) t (b) -1 (c) j\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 671135557 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 4173662 (b) 1\/9 (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-2422212)\/(-312))\/((-3)\/(-402)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 2988 - 1863. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 3*w**3 - w**2 - 2*w + 1. Let q be l(2). Let d be (3 + (-14)\/4)*30\/1. Let z be 514\/6 + 10\/d. What is the highest common factor of z and q?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1201567, -2403264, -3604961, -4806658, -6008355, -7210052?\nAnswer: -8411749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 4, 2\/9, 14\/3, -1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2516591 or -2516592?\nAnswer: -2516592","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -565.95 take away -727812?\nAnswer: 727246.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in fourty-nine fifths of a micrometer?\nAnswer: 9800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, u: 7, z: 1}. What is prob of picking 1 u and 1 z?\nAnswer: 7\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3028423 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t - 5*y = -65, -2*t - 1 - 34 = 5*y. Let u = t + 85. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/69*-62*(-4)\/496?\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the first derivative of a**2 + a - 2. Give y(1).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -3\/350, 31\/3.\nAnswer: -5, -3\/350, 31\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 321368*q**2 + 147635*q wrt q.\nAnswer: 642736","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 5 + (-3 - -19) - 13 - -8\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.05514327 to 2 decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -45 + 164. Let l(g) = 116*g - 357*g + 118*g + o*g. Calculate l(2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 25785, 47002, 68219?\nAnswer: 89436","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/(-7) - 15\/35?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 + (0 - (36 + -3)) + (-935 - -936)\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 216012\/24 + 1\/(-2). Let u be i\/3*52\/12. Round u to the nearest ten thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = l**3 + 8*l**2 - 59*l + 79. Determine c(-13).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -5 + -5368a1?\nAnswer: -5368a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = -43*y**2 + 2*y. Let r(g) = 0 - 43*g**2 + 3*g - 171*g + 88*g + 83*g - 1. Give -3*k(w) + 2*r(w).\nAnswer: 43*w**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20 divided by -36.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.052 * 4.\nAnswer: 0.208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 277881 + 681034 = 0. Is g a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -37 + 62. Suppose -y + 4*j = 4*y - q, -5*j = 4*y - 61. Let a be (-3)\/18 - ((-296)\/48 + -1). Which is bigger: y or a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 1053637847?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1059 + 1059 = -3*a + 3*s + 3171 - 1059, -3*a - s - 3*s + 36 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (8\/(-6))\/(-2) - 825\/9. Let n be (21\/(-90))\/(o\/52). Which is greater: -13\/14 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -24297265\/924 - -26296. Let u = d - 2\/231. Is -1 >= u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 + 182 = 11*u. What is the remainder when 46 is divided by u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 641909 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8 - 2*f**3 + 211*f**2 - 211*f**2 - 8.\nAnswer: -2*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-43809)\/(-1071) - (69\/(-63) + 1). What is the highest common divisor of g and 6191?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the third derivative of o**6\/120 + o**5\/30 + o**4\/8 + o**3\/2 + 2*o**2. Let k be t(-2). Is -3 != k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 28 + -53 + -6 + 7\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 9:10 AM?\nAnswer: 10:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -32 - -35. Sort y, 4, 0.\nAnswer: 0, y, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = f + 51. Let h be f\/(-4) - -2 - (-1)\/(-4). What are the prime factors of (-3 + 6 - 0)*68\/h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = t. Let f(o) = -7*o + 5. Let p(n) = f(n) + 4*i(n). Let u(k) = 5*k - 7. Let v(s) = -7*p(s) - 5*u(s). Let a(g) = -g. Calculate v(a(r)).\nAnswer: 4*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ufuffuuuuuuuuuuuuf. Give prob of sequence ufuf.\nAnswer: 91\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 835*z**5 + 2*z**2 + 172.\nAnswer: 50100*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(8)\/(sqrt(4) + sqrt(4)*2*5) + -2 + -3.\nAnswer: -5 + sqrt(2)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v*v*v\/(v**17\/v)*v))\/((v*v**8)\/v))**(-1\/74) assuming v is positive.\nAnswer: v**(-3\/37)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**4 + 2*h - 2*h + (4 - 4 - 2*h)*(-3*h**2 + 3*h**2 + h**3) + 77*h**4 - 229729*h**2 + 229729*h**2.\nAnswer: 73*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/28*(5 + 1). Let m = 58.7 + -58.737. Sort m, v, 0.3.\nAnswer: v, m, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -3827 - -3772. What is the second smallest value in x, 2, -1\/2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1400984 to the nearest integer?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 11135 and 850.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j = -2*g - 14 + 4, -g = 3*j + 5. Suppose d + 3 = -3*r - j*r, 2*d + 2 = -5*r. Calculate the highest common divisor of 72 and d.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + (0 + 0)*(-2)\/(-4)*37\/74?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/34 and -27\/28.\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express -3*k**2 + 8*k**2 - 4*k - 2948354 + 3*k**2 + 2948365 in the form s*k**2 + g + i*k and give i.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*x + 60*x + 88*x + 83 + 189 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -103*y**2 + 50*y**2 + 53*y**2 + 259935*y**3.\nAnswer: 259935*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 10616*u - 432. Let p(l) = 4247*l - 180. Let z(i) = 5*g(i) - 12*p(i). Let o(q) = 5*q**2. What is o(z(c))?\nAnswer: 22387280*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 44122558039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -0.1, -0.06, 635 in descending order.\nAnswer: 635, 0, -0.06, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -424 = 40*y + 13*y. Does 25 divide y\/(-4) - (6 + -979)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) be the third derivative of 0 - 235*r**2 + 0*r - 79\/12*r**4 - 97\/3*r**3. What is the derivative of q(i) wrt i?\nAnswer: -158","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 15\/4 - 87\/20. Suppose 4*b - 85 = 21*b. What is the closest to v in b, 2\/5, -9?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -6 + 9. Suppose 3*f + 3*h - 3 = 0, -3*h = -f - 0*h - s. Suppose f = -3*l - 0 + 159. What is the remainder when l is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17329000 rounded to the nearest one million?\nAnswer: 17000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 195998?\nAnswer: 587994","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/40)\/((-18*(-12)\/54)\/(-4))?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2 - 321\/(-30)) + ((-4)\/(-9))\/((-140)\/2520)?\nAnswer: 7\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**4 + 5*m**4 - 2*m**3 - 6*m**4 + (m + 0*m + m)*(-3 - 2*m**3 + 3) in the form g*m**2 + x*m**4 + a*m + f*m**3 + l and give x.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p. Suppose 61 - 70 = 9*b. Let k(o) = -2*o + 1. Determine b*k(z) - 6*s(z).\nAnswer: 8*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 3 + -2 - 63 - -5. Let j = 80 + t. What is the greatest common divisor of 23 and j?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 360 - 340. What is the greatest common factor of y and 55?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -553*n = -532*n + 42 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 394 minutes before 9:38 PM?\nAnswer: 3:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*x + 643798 - 321899 - 321899.\nAnswer: -11*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2426804831 to the nearest integer?\nAnswer: 1344","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2)*37772\/(-10508)*-37\nAnswer: -133","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 157 is divided by 36?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -q - 15 = 2*q, 3*q = 52*g - 44*g - 31 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:42 PM?\nAnswer: 3:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.2605 and 2.\nAnswer: 0.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = -94 + 94 - 2103*b**2 - 1317*b**2 + 604*b**2. Let q(h) = -2*h. What is q(a(g))?\nAnswer: 5632*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (401\/2 + 0)\/((-3)\/(-30)). Suppose -7*q + k - 164 = 0. What is the units digit of q?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -538\/5 + 108. Which is the biggest value? (a) n (b) -3 (c) -3\/8 (d) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*p - 2 + 3 - 2)*(-12*p + 0*p - 2*p) to i*p**2 + a + d*p and give i.\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -34.31 - -17.92. What is h rounded to the nearest integer?\nAnswer: -16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -l**3 + 11*l**2 + l + 6. Suppose 2*a = -0*a. Let o be 12 + -1 + a\/(-1). What are the prime factors of j(o)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 58*v = 5*v + 203 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 63886 = 2531*w - 652*w for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 2 - -86607801?\nAnswer: 86607803","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9 - -1) + 32 + 0 + -9.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 23 - 11. Let m(r) = r + 37. Let j be m(-19). What is the highest common divisor of v and j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-16)\/6*1089\/20. Let d = 146 + b. Factor -d*i**4 + 0*i + 4*i**3 + 0 - 4\/5*i**5 - 12\/5*i**2.\nAnswer: -4*i**2*(i - 1)**2*(i + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1030 - 973. What is the least common multiple of q and 171?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = 7*p**2 + 2*p - 3. Let w(f) = 15*f**2 + 4*f - 7. What is 13*q(s) - 6*w(s)?\nAnswer: s**2 + 2*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*m + 3*m + 6*z - 18, -5*m - 5*z + 25 = 0. Solve -m*x = -2*t - 8, -16 = -2*x - t + 5*t for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w + 33 = 5*s, 7*s - 5*w = 2*s + 35. Suppose -s = 3*a - 4*a. Suppose a*o + 328 = 10*o. What is the units digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2*v**2 - 2*v**2 + 5*v**2 + (2 - 8*v - 2)*(-2 + 3*v + 2) + (-3 + 1 + 1)*(-2*v - 15654*v**2 + 0*v + 15649*v**2 + 22) as t*v**2 + y + w*v and give y.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5679899 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 8715952?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = 5*n - 2*n. Suppose -702 = -n*l + 6. What is the hundreds digit of l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 120079 + -2522266\/21. Let c = 88\/3 + b. What is the nearest to 0 in -1\/2, 0.2, c?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 33482 (b) -2\/3 (c) 4 (d) 0 (e) 0.4 (f) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*f = -27831*t + 27836*t - 185, -5*t - 5*f = -195 for t.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101100001010000 - 111011100011?\nAnswer: -110011100110011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 63 - 63. Suppose b = 3*b + 28. Let x be (w - 7)*4\/b. Solve -x*y = 2*y + 4 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-9)\/(-6)*(-20)\/(-6).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 115879, 231707, 347539, 463375?\nAnswer: 579215","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 2*x - 4*t, x + 3*t - 25 = -5. Suppose -1 = -x*r + 175. Is r even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-63)\/(-7) - 4) + 147. Suppose 0 = -145*x + a*x - 280. Calculate the greatest common divisor of x and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 396 = -0*m. Let r(u) = -47*u + 1754. Let y be r(35). Let l = y - m. Which is the smallest value? (a) l (b) -0.5 (c) 1 (d) -3\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16745, 16726, 16707?\nAnswer: 16688","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = 538*h + 26. Let z(p) = 108*p + 5. Give 3*l(m) - 16*z(m).\nAnswer: -114*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -1 + 3\/2*k**2 + k. Differentiate v(i) with respect to i.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2728 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0 + 1 - 15*t + 16*t + 2*t**2 + (150*t - 150*t + 265*t**2)*(5 - 2 - 4) to the form i*t + b + w*t**2 and give w.\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1076981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -26*5.8\nAnswer: -150.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1469, -0.09, 1.0044?\nAnswer: -0.09","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 13bdd (base 14) in base 5?\nAnswer: 3031444","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 3.84 + -3.997. Let n = -11.943 + l. Let m = n + 12. Is -8 != m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 - 27*k**2 + 300*k - 524. Give y(7).\nAnswer: -90","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -r**3 + r**2 - 624*r - 1905. Give t(-3).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 37\/15 and 93\/70?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1300101323 - -3?\nAnswer: -1300101320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -20 + -20012222012002?\nAnswer: -20012222012022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -41 + 50. Solve -4*w - 2*f = -6, 0 - n = -5*w - 4*f for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -46144, -47798, -50554, -54412?\nAnswer: -59372","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(7\/4))\/((f*f**(-11))\/f))\/(f*f**(-3\/7)\/f*f)**41 assuming f is positive.\nAnswer: f**(-271\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -6*z**2. Let f(j) = 21*j + j - 6*j + 3 - 10*j. Give b(f(d)).\nAnswer: -216*d**2 - 216*d - 54","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 295.65 and 12317?\nAnswer: 12021.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -3 + -1 + (0 - -4). Suppose -6*i - 338 - 262 = u. Round i to the nearest 10.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*c + 9*c - 1414524*c**3 + 18*c.\nAnswer: -1414524*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3598 and 112?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 213*z - 166*z = 733200. What are the prime factors of z?\nAnswer: 2, 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -0.2 (b) -34 (c) 0.16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-3)\/z*z**(-1\/2)*((z*z**(1\/3))\/z)\/z**(-2\/25))\/(((z*z*z**(-2\/13))\/z*z)\/z**(2\/7))**(-8\/5) assuming z is positive.\nAnswer: z**(-21703\/13650)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, -8, 2\/7 in descending order.\nAnswer: 18, 2\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -i**2 - 26*i + 11. Let d be t(-12). Let m = -176 + d. Put -7, m, -1, 4 in increasing order.\nAnswer: -7, -1, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y**5\/8 + 242727*y**4\/8 + 485505*y**3\/8 - 3155415*y**2\/8 - 4611891*y\/4 - 728199 = 0 for y.\nAnswer: -3, -2, -1, 4, 80911","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r**3 + 7*r**2 + 29*r - 30*r - 4*r**2 in the form t*r**3 + w*r + p + s*r**2 and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -10152, -20303, -30450, -40593, -50732?\n\"Answer: 2*f**2 - 10157*f + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 550 and 167002?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 + 9*r**2 - 8*r + 11. Give t(-10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -3*z**3 + 8640*z**2 - 7983036*z + 2393907696 = 0.\nAnswer: 774, 1332","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*z**2 + 3*z**2 - 5*z**2)*(-70 - 5*z + 70)*(z - 2*z - 4*z).\nAnswer: 50*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 129*q - 17*r = 125*q - 16*r + 11, -87 = 6*q + 3*r for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -51, -106, -161, -216?\n\"Answer: -55*r + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-6)\/(-27))\/((-119)\/51)?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -5*u**4 + 102*u**3 + 823*u.\nAnswer: -60*u**2 + 612*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -324.583999?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 33892*x**3 + 2368*x - 1184. Let g(p) = -143*p**3 - 10*p + 5. Calculate 1184*g(v) + 5*i(v).\nAnswer: 148*v**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -4*b - b**2 - 3*b + 3 + 5*b. Let g be 3*2\/48 - (-93)\/24. Suppose g*y + 19 = -5. Calculate u(y).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of b**4\/36 - 14*b**3\/9 - 34*b**2 - 21*b - 3. Determine o, given that n(o) = 0.\nAnswer: -6, 34","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3215\/(-6)*(-3)\/390. Let h = l + -34\/39. What is the common denominator of h and 11*(-2 - 1)\/15?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = -5*p, 0 = -3*l - 3*p + 5*p + 4 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -3*6*(2 - 33\/9). Let j(z) = 2*z - 1. Let k(t) = -16*t + 6. Let s(c) = f*j(c) + 5*k(c). Let u(q) = -4*q**2. Calculate u(s(m)).\nAnswer: -1600*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 94 and 64559294.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19260\/11 + 61697\/22. Let v = n - 1078. What is the common denominator of -55\/8 and v?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-p**3 + 3*p**3 - 3*p**3 + (-5*p + 3*p + 4*p)*(-1 + 1 - p**2))*(-p + 0*p - 3*p) to the form d*p**3 + a + v*p + g*p**4 + b*p**2 and give g.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -99\/10837448 and -35\/219678?\nAnswer: 32512344","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -72*f + 66*f + 18 = 0. Suppose -3*d + 3*q = -12951, q - f - 1 = 0. Is d a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 0 + 5 + 11 + l. Suppose -v + 26 = 42. Let w be p(v). Solve -2*f + 2 = -w*f + 2*d, 5*f = -2*d + 2 for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 2, g: 4}. Give prob of picking 4 g.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 (base 4) in base 12?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 21*v + 283. Give i(-20).\nAnswer: -137","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 202\/2 - (3 + -1). Let i = 272 + -261. What is the highest common divisor of i and g?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 8*p = 0, t + 4*p - 23 = 0. Suppose -b = -4*l + 21, 4*l + l - t = -2*b. Solve 0 = -4*d + l*s + 4, 7 - 15 = d + s for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - -19 - (10 - 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a + 17 = 4*k, 0 = 5*a - 2*a + 3*k - 24. Is ((-258)\/15)\/((-2)\/a) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 169*y**2 - 2*y - 1482?\nAnswer: 338*y - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -65, -103, -197, -371, -649, -1055, -1613?\nAnswer: -2347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/4 of a microgram in nanograms?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -0.12 (b) -5 (c) -0.14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -2, 13, 42, 85?\nAnswer: 142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 30\/(-4)*2\/(-3). Let v = 9 + -8. Let t(j) = -7*j**2 - 2*j + 7. Let z(m) = m**2 + m - 1. Let s(l) = v*t(l) + 6*z(l). Determine s(k).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 5*h. Let w be (2 - h) + 43*2. Let z be w\/(-11)*(-1)\/4. Solve -2*k = 2*a - 6, -z*a + 4 = -2*k + 18 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5487646 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 107*b**2 - 2*b + 2. Let w be t(2). What is the hundreds digit of (9\/18)\/(1\/w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*q - 5. Sort -5, -20, q in descending order.\nAnswer: q, -5, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -889 minus -1491?\nAnswer: 602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4520182 to the nearest integer?\nAnswer: 2126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h*h*h\/(h*h**(-3))*h)\/(h\/((h**(2\/81)\/h)\/h)))\/(h**(-25\/3)\/(h\/(h**(2\/79)\/h))))**(-33) assuming h is positive.\nAnswer: h**(-938476\/2133)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2832.91 litres in millilitres?\nAnswer: 2832910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 13*a**2 + 23727*a + 3*a**3 - 23729*a + a**4 + 29*a**2 in the form i*a + c*a**3 + z*a**2 + r*a**4 + p and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 6 = 2*m, -4*d = -4*m - 0*m - 24. Suppose -5*t + 196 = 4*k, d*t = -3*k + 129 + 18. List the prime factors of k.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 2012111 + -1000102202?\nAnswer: -221020021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = q + 2. Let b be g(-5). Let f be 2 - (b + 6) - -4. Suppose -4*a = -f*a - 11. Is a a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.764096 kilometers to meters.\nAnswer: 4764.096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m - 5 = -7*m. Suppose m - 4 = -u. Suppose -u*k + 4 = -4*v, -4*v + 2 + 6 = 0. Solve k*z = -0*z - 4 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -25252*k**2 - 98*k**3 + 33*k**3 - 1106*k + 61*k + 25248*k**2 wrt k?\nAnswer: -390*k - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find d such that -d**5\/9 + d**4\/3 - 4*d**2\/9 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = p**3 + p**2 - 15. Suppose 2*w - 4 = 0, 6*m + 50 = 4*m - w. Let r = -26 - m. Suppose r*k = 8*k. Give o(k).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1274)*5)\/(sqrt(200)*5) + -2.\nAnswer: -2 + 7*sqrt(13)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = 3*v**2 + 38*v + 529. What is k(-7)?\nAnswer: 410","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 23 = 4*z, -164*i + 31 = -169*i - z for i.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 12, x: 1, d: 2, p: 1, i: 2}. Give prob of picking 2 e.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -80\/99 and -39\/634337?\nAnswer: 5709033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 2*s + 6. Let i be (3 + 8 + 1)\/2. Does 11 divide p(i)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + 63 + -174 + 71.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-91)\/(-28) - 6\/(-8). Find the second derivative of 0*j**5 + 0*j - 2*j**5 + j - q*j**5 wrt j.\nAnswer: -120*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*a + 19*a = 10. What is the least common multiple of 6 and a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1*(-2)\/40*-5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*y = 14*y + 208. What is the remainder when (-28)\/(-6)*(-195)\/y is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 13 + -8. Suppose 3*d - 6 = u*d. Let q be (24\/(-36))\/(83\/d). Which is bigger: 1 or q?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -100\/7 - 410\/7*l - 18\/7*l**3 + 176\/7*l**2 = 0?\nAnswer: -2\/9, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 164 - (-13 + (21 - -11) + 22).\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (((-5)\/(-5) - -3) + -10)\/(-1). Suppose 3*c = -4*v - 4, -2*c - w = v - 10. Calculate the greatest common divisor of c and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c + c + 764. Suppose c = 5*g - 0*g - 3*o, -15 = -5*o. What is the highest common divisor of g and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 23864 and 36?\nAnswer: 214776","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 28, 106, 242, 442, 712, 1058, 1486, 2002?\nAnswer: 2612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 7 = 1. Suppose 4*d - u*a = -3*a + 123, -a - 37 = -d. Let n = -12 + d. Calculate the remainder when 39 is divided by n.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.7532, 2\/3, -1\/229 in increasing order.\nAnswer: -1\/229, 2\/3, 0.7532","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*b + 3*b - 6*b)*(-7 + 4 + 9)*(-29*b + 82888 - 82888).\nAnswer: -174*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 1963116 divided by -12\nAnswer: -163593","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**2 - 31*y + 38. Let p be s(30). Which is smaller: -68 or p?\nAnswer: -68","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (54\/120)\/(-9)*-2*2\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = 4*i**2 - 12. Let o(a) = -3*a**2 + a + 12. Let n(s) = 4*j(s) + 5*o(s). Calculate n(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -16 + 19. Which is the biggest value? (a) -5 (b) t (c) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*(sqrt(132) - -1*sqrt(132)*-1))\/(2*sqrt(192) + 4*sqrt(72)\/sqrt(6)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 416000 rounded to the nearest ten thousand?\nAnswer: 420000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6*g**3 + g**2 - g - 1. Let t be k(-1). Let u = t + 3. Let n(p) = 10 + 3*p**2 - 10*p - 9 + 12*p. Calculate n(u).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 3*f**2 - 10*f - 14. Let a(y) = 4*y**2 - 10*y - 15. Let x(t) = -4*a(t) + 5*k(t). Calculate x(-8).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b**(-9)\/((b**(6\/11)\/b)\/b)*(b*b**(-1\/3)*b)\/b*(b\/b**(2\/9))\/b assuming b is positive.\nAnswer: b**(-703\/99)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 - 2 - 13 - (31 + (0 - 30))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 103.7262051 microseconds to weeks.\nAnswer: 0.00000000017150496875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -416337*f**2 + 831996*f**2 - 415646*f**2.\nAnswer: 13*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-5) - 502\/498. Let u = x + 755\/996. Which is the fourth biggest value? (a) 0.2 (b) u (c) -0.2 (d) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = 5*r - 4*w, -w - 2*w + 6 = r. Suppose 2*q + 214 = -r*p + 2*p, -3*q - 426 = -4*p. What are the prime factors of p?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ssssss. What is prob of sequence ssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f**2 - f + 7. Let o(z) = z**2 - 2*z - 3. Let y(p) = -5*p**2 + 11*p + 15. Let w(m) = -11*o(m) - 2*y(m). Give -2*q(l) + 5*w(l).\nAnswer: -3*l**2 + 2*l + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 13476.\nAnswer: 2, 3, 1123","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 7*g**2 - g - 1. Calculate b(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00015613944961 to 6 decimal places.\nAnswer: -0.000156","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -6759*c + 196013. Give b(29).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000013132 rounded to 7 decimal places?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -65 - 1077*l**3 - 4*l**2 - 21 + 3*l**2 + 3392*l**3 + 23 - 6*l wrt l.\nAnswer: 13890","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6650190097 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*s + 71*s - 79*s + 67*s.\nAnswer: -6*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6210221 (base 8) to base 13.\nAnswer: -4568a0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -t**3 - 11*t**2 + t - 9. Let z be r(-11). Let w be (-7 - -2) + z\/(-4). Which is the smallest value? (a) w (b) -0.7 (c) -0.2 (d) 2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = v + 4. Let a be s(-4). Suppose -1 = g - a*p + 2*p, 2*g = p - 2. Round g to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vpiv when four letters picked without replacement from vpjmmhvivmj.\nAnswer: 1\/1320","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -a**3 + 7*a**2 - 6*a. Let k be b(4). Calculate the highest common factor of k and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5*(-1)\/(-30) - 2\/4\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2 + 2*g**3 - 2 + ((-1 + 1 + 2*g)*(-1 + 2*g + 1) - 7*g**2 + 3*g**2 + 3*g**2)*(-2*g - 2*g + g) to the form a*g + s + d*g**3 + m*g**2 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -1020699 (base 10) in base 4?\nAnswer: -3321030123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wtqtt. What is prob of sequence tttq?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.5055 times -2553?\nAnswer: -6396.5415","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.0717 - 292.0717. Let m = 291.579 + p. Round m to 1 dp.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/7, 0.1, 2\/29, -0.188, 1340?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3.066176 - 3.065. What is k rounded to 4 dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -7*y - 2. Let f be h(-2). Let s = 22 - f. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (32 + -34 + 7)*(-138)\/(-51405)\nAnswer: 2\/149","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*w - 5*w - 2*m + 110, -4*w = m - 412. Let n = 504 + w. Is 30 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (((sqrt(3) + sqrt(12) + sqrt(3) + 3)*3)**2 - -1*sqrt(3)*1*-4).\nAnswer: 212*sqrt(3) + 516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n - 1. Let c(u) = 35*u - 67. Let a(r) = c(r) - 2*q(r). What is the hundreds digit of a(19)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 101 and 7171?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 23461 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -258 divided by -1.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57*h = 53*h + 360. Calculate the remainder when h is divided by 24.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 2 - 2)*(1 - 1 - x) + (-3*x - 3*x + 3*x)*(1 - 3 - 1) - 3*x - 3*x + 5*x - 5*x + 4*x + 2*x + (-3 + 4 - 3)*(x + x - 4*x))*(3 + 1 - 5).\nAnswer: -19*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 254 (base 9) in base 12?\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -0.095 times 0.248\nAnswer: -0.02356","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 822818.8cm to meters.\nAnswer: 8228.188","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 2, 0, -11, 73 in descending order.\nAnswer: 73, 3, 2, 0, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 100*r - 6. Let z(t) = -17*t + 1. Let c(u) = -q(u) - 6*z(u). Let y(a) = 32*a**2 - 11*a**2 - 15*a**2. What is c(y(i))?\nAnswer: 12*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1920 by -384.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2995 or -3009?\nAnswer: -2995","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -6998, -7010, -7024, -7034, -7034, -7018?\n\"Answer: v**3 - 7*v**2 + 2*v - 6994","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1 - (0 + -23) - -1. Suppose -2*t + q = -7*t. Let s(v) = -7*v - 1. Calculate the remainder when s(t) is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 155*y**2 + y + 47 wrt y.\nAnswer: 310","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5*j**3 + 4*j**2 + 9*j - 26. Let h be p(3). Let m be (-42)\/84 + h\/12. Is m less than or equal to -9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -1, -2, 14219, 1, 29 in ascending order.\nAnswer: -2, -1, 0, 1, 29, 14219","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, p: 2, r: 2}. What is prob of picking 1 r and 1 d?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 52643 to the power of 1\/6, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 30668 from -851.\nAnswer: -31519","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -13.4 and -24.\nAnswer: 321.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = c**3 - 7*c**2 + c. Let d = 18 + -11. Is p(d) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the second derivative of 5\/6*h**3 + 0*h**2 + 0 - 16*h. Let c(u) = 6*u**2. What is c(p(q))?\nAnswer: 150*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/12*-2*36*(-168)\/(-96)\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 v, and 1 t when three letters picked without replacement from qvvtvqvvvvqvtttqqvq.\nAnswer: 72\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1010100001 - 100010000?\nAnswer: 110010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23992*q + 168 = -23950*q. Suppose 21\/2*k**3 - 3\/2*k**5 + 0 + 3\/2*k**q - 9*k - 3\/2*k**2 = 0. Calculate k.\nAnswer: -2, -1, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 71.1593 rounded to 1 dp?\nAnswer: 71.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53 = 4*d - 3*j, -j = 5*d - 5*j - 65. What is the remainder when 151 is divided by d?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-56)\/49)\/(9\/(-7)). Let z = 18 - 14. What is the third smallest value in z, -1, t, 0.4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4346.666 - 4352. What is i rounded to the nearest integer?\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 26716602 and 133734.\nAnswer: 4314","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3\/4*h**2 + 1\/4*h + 0.\nAnswer: -h*(3*h - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 1\/5, 0.3, -1, -2, -72, -402?\nAnswer: -402","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18071 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rnjpjrxijjjxjpx. Give prob of picking 1 x and 1 n.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1890?\nAnswer: 2, 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of -1\/3*z**3 + 0*z + 7\/24*z**4 + 0 + 14*z**2 - 3\/20*z**5 + 1\/24*z**6 - 1\/210*z**7. Solve y(g) = 0 for g.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -855a50 (base 12) to base 6.\nAnswer: -113034540","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 12:06 AM?\nAnswer: 12:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = 2*l**2 - 3. Let y be d(-3). Suppose 3*x = -4*c + 17, -5*x - 4*c + y = -8. Solve -x*z = -5*b + 27, 3*z + 4*b = -0*z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 358 = 3*v, 137*v - 132*v - 4*t = -610. Let z be ((-4)\/14)\/((-1854)\/v - 15). Let h be 2\/6 - 10\/3. Sort 3, h, z in decreasing order.\nAnswer: 3, z, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -147, -5, 9 in decreasing order.\nAnswer: 9, -5, -147","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert 240.9988 grams to nanograms.\nAnswer: 240998800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/7, 0.4, -15999?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*g**4\/7 + 394*g**3\/7 + 5434*g**2\/7 + 14030*g\/7 + 3174\/7 = 0 for g.\nAnswer: -23, -3, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in thirteen eighths of a kilometer?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y**2 + 240954*y - 5302440 = 0. Calculate y.\nAnswer: -80340, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 - 42330324300?\nAnswer: -42330324302","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30 - (2 - 10) - (8 - (20 - 21)).\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - r - 36, -v + 84*r = 85*r + 9. Let z(p) = -11 - 2*p + 3 - 10. Let t be z(v). Solve 0 = o - t*o + 2 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43 divided by -22?\nAnswer: -43\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 847 and 60621.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -40, -67, -150, -319, -604, -1035, -1642, -2455?\nAnswer: -3504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -24441 (base 6) to base 16\nAnswer: -e29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 x when two letters picked without replacement from xvfqvvfufvvffxxvuf.\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v = -3*w - 11 + 60, v = -5*w + 35. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = l**3 - 2*l**2 - 9. Let p be q(4). What is the highest common factor of 115 and p?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*p - 11*p - 2*p**2 - 4 - 2 + 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*f - 2754 = -19*f. Suppose t + 0*c + 4*c = 153, -2*t + 4*c = -f. List the prime factors of t.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 8 (c) -0.06\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2192?\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/2, -4\/3, 7\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 43.5 + -44. Let c = u + 0.500106. Round c to 4 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*c = 91*g - 96*g - 35, 3*c = -3*g + 6 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8, 0 = -2*k + v + 20 + 18. What is the hundreds digit of (-4)\/((-40)\/235)*k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 33*r + 3. Let o be j(3). Suppose o = -0*a + 2*a. Is 21 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -968192 times 0.07\nAnswer: -67773.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-18*o**5 + 19*o**2 - 19*o**2)*(4 + 5 - 3) - 10*o**5 + 8*o - 8*o.\nAnswer: -118*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) be the third derivative of l**6\/40 - l**5\/4 - 17*l**4\/8 + 21*l**3\/2 - 157*l**2 - 2*l. Let x(r) = 0. What is r?\nAnswer: -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5681 is divided by 193?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*h = -65 + 95 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.18? (a) -3 (b) -1 (c) 85 (d) 0.15\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 9\/92 and 1\/118?\nAnswer: 5428","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 4 (b) 37 (c) -266 (d) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence br when two letters picked without replacement from ayyybabbrbaaybyb.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {g: 3, v: 5, o: 5, b: 5, r: 2}. What is prob of sequence gogg?\nAnswer: 1\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*k + 19*v - 15*v + 28 = 0, -k + v - 2 = 0 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m**5\/4 + m**4\/2 - 3*m**3 - 10*m**2 - 8*m = 0. Calculate m.\nAnswer: -2, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w - 106 = 5*i, -58*w = 268*i - 264*i - 1848 for w.\nAnswer: 32","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -1 - (1 + 1100\/(-472)). Let x = 2074\/295 - c. Let w = 27\/26 + 6\/13. Find the common denominator of x and w.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:21 AM and 5:25 AM?\nAnswer: 244","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((-1*sqrt(45)*5)\/sqrt(9) - (-1 + sqrt(180))**2))*3.\nAnswer: -546 + 21*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 11607?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 3*h**2 - 160*h - 1471. Determine r(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1 + sqrt(1584) + -4)*1 - (3*2*sqrt(1584) + 2*sqrt(1584)*6))**2.\nAnswer: 2040*sqrt(11) + 457801","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 + 3 = -a. Suppose 0 = 3*w - a - 3. Let n(k) = k**w - 2 - 2*k + 2. Calculate n(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(88) - (sqrt(88) - ((sqrt(88) + sqrt(88)*2 - sqrt(88)) + sqrt(88))))\/sqrt(8))**2 + -4)*-3*-6.\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (62\/(-3) - -4)\/(806\/9269 - (-356)\/138).\nAnswer: -25\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3619809 to the nearest integer?\nAnswer: 1903","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 68399.\nAnswer: 68399","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 13*n + 27 - 53, -3*n + 6 = 3*c. Let q(b) = 13*b**2 - 5*b + 3. What is q(n)?\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -717452*f**2*x**2 + f**2 - 4*f*x**2 - 62*f + 60*x + 17 wrt f?\nAnswer: -1434904*x**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**3 - 11 - h + 4*h**3 + h**3 to v*h**3 + n*h + j + a*h**2 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 407 - -2543. Suppose -272*f + 16567 = -400137. Let a = h - f. Is a a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 59 + 28. Let n = b + -64. Calculate the remainder when n is divided by 13.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*p + 8 - 3 = 0, 10 = 5*p. Calculate the lowest common multiple of 3 and q.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*z + 16 = -2*c, -z - 4 = c - 1. What is the greatest common divisor of z and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = -43*x**3 - 5*x**2. Suppose 70*f + 146 - 354 = 142. Let a(s) = 22*s**3 + 2*s**2. Calculate f*a(o) + 2*n(o).\nAnswer: 24*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1051\/4 + -253. Find the common denominator of (-1)\/((-40)\/(-636)*(-48)\/(-10)) and q.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3188679878?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -12, 28 in descending order.\nAnswer: 28, -4, -12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5 by -40.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 12384779*n**5 - 6*n**4 + n**2 - 33*n - 1565124?\nAnswer: 247695580*n**3 - 72*n**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 2953 - 2919 = 5*g - 5932, 20*t + 2*g + 128 = 332 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -52 - -57. Suppose 4*w - 49 = -y. What is the third derivative of 0*n**2 - 6*n**2 + n + w*n**3 - n wrt n?\nAnswer: 66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2002298381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4 - 54\/15 - (-4)\/(-20)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 336482894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(4\/15) - 1)\/((-58)\/(-6612)*57)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -172*f + 11536 = -1647*f - 16489 for f.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 233 - 137. Suppose 0 = f + 3*f - b. Is (6\/f)\/(2\/4568) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(l) = -l. Let t(g) = -249*g. Give t(r(h)).\nAnswer: 249*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21224*v - 15082*v + 221112 = 0 for v.\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = -2*q - 4. Suppose -4*k - 8 + 72 = 0. Suppose -4 = 2*g - o, -2*o + 0*o = 2*g + k. Let b be i(g). Sort b, -5, -3, -4 in decreasing order.\nAnswer: b, -3, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(i) = -140*i + 1018. Let g be q(6). Solve -g = s - 179 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 69 - 37. Suppose -5*d + p = k, -d - 23 = -7*k + 3*k. Suppose 4*c = j - 4, -3*j - 5*c + 58 = j. Calculate the remainder when j is divided by k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(275) + sqrt(11) + sqrt(110)\/(sqrt(10) + sqrt(60)\/sqrt(6)) + sqrt(11))**2.\nAnswer: 275\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -19819 in 1\/4, 3\/4, 1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -155938244 divided by 28?\nAnswer: -5569223","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 3 - 20*r - 1 + 143*r.\nAnswer: 123*r + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*l - 20 - 8 = 3*o - 20*l, 12 = 4*o - 5*l + 48 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 853163 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) -3 (c) -555 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -20 - -42. Let v = 32 - w. Suppose 0 = -5*h + v*h - 15. Solve 3*u + 3*r + 25 + 2 = 0, 0 = h*u + 4*r + 31 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-z**3 + z**3 - 3*z**3)*(4 + 8 + 11 - 3*z**2).\nAnswer: 9*z**5 - 69*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18 + 20. What is the smallest value in -0.01, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 36700727?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -0.2 and 0.193?\nAnswer: 0.393","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (-27 + 8 - 23)*(214*g**2 + 2991*g - 2991*g) as h*g + l + m*g**2 and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49*b - 50*b = 61*b - 2940784. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -7*j**5\/9 + 5377682*j**4\/9 - 153013092320*j**3 + 13061226705753600*j**2 - 3731766567936000*j.\nAnswer: -j*(j - 256080)**3*(7*j - 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 36 = -h, -g + 4*g + h = 20. Let w(r) = -r**2 + 19*r - 6. What are the prime factors of w(g)?\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 5*y**2 - y + 3. Let t(i) = -i**2 + 2 - 4*i**2 + i - 4. Let x(a) = -2*f(a) - 3*t(a). Let q be x(1). Solve -3*d + 2*d = 4*n - 12, 5*d - 12 = q*n for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 35628.36 centuries to months.\nAnswer: 42754032","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 12 + 2*w**3 + 47*w**2 + 50*w**2 + 3*w + 44*w**2 - 138*w**2 as r + o*w**3 + c*w**2 + f*w and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 394.028 - 393. Let m = 1.755 + -1.783. Let i = m + k. Which is the second smallest value? (a) i (b) 2 (c) 4 (d) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/3))**(2\/143))**(4\/9)*(a**1*a)**(-45\/7)*a**(-2\/9)*a\/((a\/((a*a*a\/(a\/(a\/a**7*a))*a*a)\/a))\/a) assuming a is positive.\nAnswer: a**(-380411\/27027)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 6*m - 7*m - 9 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 122 a factor of 52833659?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/(-5)*5\/(-4). What is the smallest value in w, -5, 0.3?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 57 - 6?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -n**2 - 16*n + 264. Let j be p(10). Solve 13 = -b + 4*u, 5*b + j*u = 10*b + 1 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0 + 5. Suppose -k*d + 40 = -i, i + 2 + 3 = 0. Suppose -2*x + 4*w + 15 = d*w, 5 = 2*x + 5*w. What is the highest common factor of 15 and x?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*u**4 + 144 + 72*u - 63*u**2 + 26\/3*u**3.\nAnswer: -(u - 12)**2*(u - 3)*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 119 a factor of 93698003?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2847*u**3 + 3772*u**3 - 918*u**3.\nAnswer: 7*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 29 + -44 - (-10 + -2).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 8*b**2 - 433*b + 167. Suppose 0 = 2*w - 0*w - 78. What is the remainder when q(54) is divided by w?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 2*a**3 - a**2 - 2*a + 12. Calculate k(0).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360) + (2*sqrt(360) - sqrt(360)))\/sqrt(5))\/(sqrt(44)\/(sqrt(44)\/sqrt(4) + sqrt(11)) - (sqrt(4) - -2*sqrt(324))).\nAnswer: -12*sqrt(2)\/37","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 27*a*b**3*i - 54*a*b**3 - 8*a*b*i*n - 109*a*b*n + a*b + 62*b**3*i wrt i?\nAnswer: 27*a*b**3 - 8*a*b*n + 62*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-40)\/(-28)*(5\/(-3) - -4). Let r(w) be the first derivative of q*w**3 + 0*w**2 + 9 - 10*w. Find the first derivative of r(h) wrt h.\nAnswer: 20*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1311\/247 - 5\/4*(88 - 84).\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(352)*-4 + sqrt(22))\/(sqrt(11)*-2*4) + -2*sqrt(2592) + sqrt(32) + (4 + sqrt(128))**2.\nAnswer: -17*sqrt(2)\/8 + 144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (16\/3)\/((-2)\/21). Is 12 a factor of 3*(w\/(-6))\/1?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (16 + (-16 - 0) - -8).\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 22, -165, 1, 2 in descending order.\nAnswer: 22, 2, 1, -1, -8, -165","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*d + 168 = -5*d. Let n be 22\/14 + 8\/d. Which is smaller: n or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.148 + -9.148. Let q = -5.89974 + 14.8987. Let p = w + q. Round p to four decimal places.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 64, 77, 114, 187, 308, 489?\n\"Answer: 2*l**3 - l + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 15.22548 milliseconds?\nAnswer: 15225.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hrv when three letters picked without replacement from {a: 5, n: 2, o: 2, v: 1, h: 6, r: 1}.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhhh when four letters picked without replacement from hhhhhh.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1040*k - 1041*k - 2*n - 1 = 0, -3*k = 2*n + 7 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/8*(-21)\/(-189)*2\/4.\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = 3*v**2 - 13*v + 11. Let k(h) = -h**3 - 6*h**2 - 4*h + 17. Let a be k(-4). Let y be i(a). Sort 24, -1, y.\nAnswer: -1, y, 24","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*l = 3*g - 138, 9*l = -3*g - 73 - 167 for l.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than -4\/3993467?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -857 - -859. Suppose b + 6241 = 2*u, -3*u - n*u = -2*b - 15601. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3? (a) 2\/3 (b) -1 (c) -22\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -6*h. Let i(x) = 2*x. Let z(g) = 5*c(g) + 16*i(g). Let b be z(1). Suppose -b*q = -q - 4. Solve 3*r + q*w = -10, 3*r - w - 2*w = 18 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**(2\/19)\/n)\/n*n**(4\/3))\/(n*n**(10\/3)*n\/(n**(-20)*n)) assuming n is positive.\nAnswer: n**(-473\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 9730 and 580?\nAnswer: 564340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 9) to base 12.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-1647)\/(-45) - 6\/10. What is the remainder when 1\/2*1*2 is divided by ((-1)\/(-2))\/(18\/j)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = -n**3 - 3*n**2 + 2*n. Suppose -i = 2 - 5. Let v = 1191 + -1184. Let s(h) = 2*h**3 + 7*h**2 - 4*h. Give i*s(b) + v*k(b).\nAnswer: -b**3 + 2*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -41*a**2. Let k(j) = 41*j**2 + 1. What is 3*g(u) + 2*k(u)?\nAnswer: -41*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is -2747029\/3 at least as big as -915675?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -5*m**2 + 36*m + 1. Let g be (200\/(-60))\/((-2)\/3). What is the units digit of h(g)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/25 of a litre?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 6946*p - 6951. Calculate v(1).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 432 and 24?\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 423 and 1363?\nAnswer: 12267","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -696*t - 904*t + 95206 = 306*t - 3906 for t.\nAnswer: 52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = -18*l**3 - 3*l**2 + 3. Let g(y) = -91*y**3 - 14*y**2 + 14. Give 3*g(f) - 14*p(f).\nAnswer: -21*f**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 11*p - 77 - 16*p + 77. Suppose 0 = -6*f - 2*f - 64. What is b(f)?\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**2 - 5*w - 10. Let q be t(7). Let i = -472 - -474. Suppose -526 = -q*a + i*a. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 12) to base 14.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -u + 7. Let t = -62 + 66. Let g be z(t). Suppose 2*n + 158 = 2*i + i, g*n + 212 = 4*i. Does 7 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -6*m**3 - 36*m**2 + 12*m + 27. Let h be z(-6). Put 4, h, 3 in descending order.\nAnswer: 4, 3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21481106 rounded to the nearest ten thousand?\nAnswer: 21480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*d = -15*u + 52*u - 35*u + 128, -3*d = -2*u + 10 for d.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -24141 - -320102?\nAnswer: 240411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-18)*0)\/2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/13, 1\/5, 0, -0.4, 3?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -371 - -371.3. What is the second biggest value in -7, 4, g, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -1 + 2 - -1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 0.5 (b) -7\/2 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 - 4 = -3*p. Suppose 0 = 3*z - 6*z + 12. Suppose 12 = z*q - 4. Which is the second biggest value? (a) p (b) 1\/3 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100011 + -1010100001010011110?\nAnswer: -1010100001011000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 117.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes after 4:24 PM?\nAnswer: 2:02 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (3\/((-270)\/(-8)))\/(24\/(-36))?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.0348 + 3.68. Round r to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -112 + 122. Calculate the least common multiple of 22 and g.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1322, -5187, -11592, -20531, -31998, -45987, -62492?\nAnswer: -81507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 51 divide 3583?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -491\/6 - -250\/3. Let s be 2\/(-4) - 2\/8. Let b = -7\/24 - 13\/24. Put s, i, b in decreasing order.\nAnswer: i, s, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 547, 793, 1041, 1291, 1543, 1797, 2053?\nAnswer: 2311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 70 + -52. Let x = -16.2 + n. Let b = 3.2 + x. Which is smaller: b or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90 = 6*j - 12*j. Suppose j = -6*k + 3. Is ((-24)\/(-9) + k)*(1986 + -3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify g**11*g**(-3\/2)*g**1*g\/(g*g**(-4\/7)) assuming g is positive.\nAnswer: g**(155\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -63637 + 63632. Let r(p) = 7*p - 2. Let a(h) = -29*h + 7. Let u(x) = 2*a(x) + 9*r(x). Let l(s) = 9*s - 7. What is o*u(q) + 3*l(q)?\nAnswer: 2*q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 69703, 69717, 69747, 69799, 69879, 69993, 70147?\n\"Answer: l**3 + 2*l**2 + l + 69699","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) be the first derivative of -3*p**3 + 3*p + 13. Let y be q(-4). Let f = 215 + y. What is the tens digit of f?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -5, -6, 1267, 22 in increasing order.\nAnswer: -6, -5, 4, 22, 1267","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -256 or -257?\nAnswer: -257","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 176 minutes before 1:45 PM?\nAnswer: 10:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 23*b**2 - 3*b - 1. Calculate z(3).\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*(1*sqrt(1215) + sqrt(1215)) + sqrt(1215) - sqrt(1215)))\/((sqrt(150)\/(sqrt(20)\/sqrt(2)) - sqrt(15) - sqrt(15))\/(sqrt(363)*-1)).\nAnswer: -2376*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -335\/6 - -56. Let p = 0.1 - 0.2. What is the nearest to p in 1, 0.3, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-7)\/(-5)*(37 - 32). Suppose -i*o = 120 - 260. Calculate the lowest common multiple of 106 and o.\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4746*o - 4819*o - 9709 = 0 for o.\nAnswer: -133","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of c**3*x**3 - 14*c**3*x - 14*c**3 + 76*c**2*x**3 + c**2*x wrt x.\nAnswer: 6*c**3*x + 456*c**2*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -85 + 79 = -6*r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -93*p**4 + 146*p**3 - 146*p**3 + (-1 + 2 + 1)*(0*p**4 + 2*p**4 - 4*p**4) - 5*p**4 + 3*p**4 + 3*p**4 - 2*p**4 - p - 2*p**3 + p.\nAnswer: -98*p**4 - 2*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.093, -2, 202198 in ascending order.\nAnswer: -2, 0.093, 202198","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - (-9 + (-1 - -4))) + -8?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o - 3*o = -162. What is the remainder when 160 is divided by o?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48*f - 24 = 43*f - z, 2*z + 24 = 2*f. Calculate the smallest common multiple of f and 339.\nAnswer: 678","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + -5 + sqrt(2880) + -2 + sqrt(2880) + -5 + 1)*-2.\nAnswer: -96*sqrt(5) + 20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be -10*((-7)\/10*-2 - 1). Let f(a) be the first derivative of a**2 + 2*a - 2. Give f(k).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 11826?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -4921*u + 105. Let j be w(-5). Suppose l - 9822 = -2*d + 2534, 0 = -4*d - 3*l + j. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 19 - 14. Suppose 0 = -3*t + n*t - 10. Solve 3*m - 10 = t for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -97800, -195273, -292746, -390219?\n\"Answer: -97473*d - 327","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3928 - 3932. What is the nearest to 0.07 in 2\/9, 0.1, r?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 19, 34, -4 in ascending order.\nAnswer: -4, 3, 19, 34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 48*i**2 + 724*i - 54. What is the hundreds digit of r(-29)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u and 1 s when two letters picked without replacement from {g: 1, l: 2, s: 2, c: 1, v: 1, u: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 352, 737, 1124, 1513, 1904, 2297, 2692?\nAnswer: 3089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u = u + 59. Solve -u*m + 10 = -54*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -7, 0.038, -8\/7, 2, -4\/5, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -w**3 + 8*w**2 - 1. Let j be i(8). Let d = 4 + j. Which is smaller: d or 4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**2. Let h(w) be the third derivative of 35*w**4\/24 + 28*w**2. Give a(h(q)).\nAnswer: 1225*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 3652 and 7?\nAnswer: 25564","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*q**4 + 257*q - 257*q + 24*q - 54*q**4 - 24*q + (-2 - 1 + 5)*(-3*q**4 + 2*q**4 - q**4) as k*q**3 + g + b*q**2 + t*q**4 + v*q and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 33.53003l to millilitres.\nAnswer: 33530.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -78846564 and 4.\nAnswer: -315386256","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 35, 21, 7, -7?\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of 4*i**7\/105 + 2*i**5\/15 - 6*i**2. What is the third derivative of j(b) wrt b?\nAnswer: 192*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9056827 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1197344 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 833, 911, 989, 1067?\nAnswer: 1145","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 72665 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -31395 (base 10) to base 4.\nAnswer: -13222203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 94251 is divided by 118?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -17312574 + -20507426. What is n rounded to the nearest 1000000?\nAnswer: -38000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = 3*s**2 + 12*s + 9. Let v be g(-6). Suppose 0*f - 9*f = v. Are -10 and f unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(i) = 3*i - 2. Let z(n) = n. Calculate w(m) - 6*z(m).\nAnswer: -3*m - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84.7 - -9.8. What is j rounded to the nearest integer?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 22.3 - 22. Suppose f - 3*f = 4*j - 16, 0 = 2*f - 5*j + 20. Let q = -1 - -1. Which is the closest to q? (a) l (b) f (c) -2\/21\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert c1d6e1 (base 16) to base 13.\nAnswer: 282a250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2334*h**2 - 4659*h**2 + 2327*h**2.\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -z - 11*z**2 - z + 2*z.\nAnswer: -11*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**9\/(f\/(f\/f**(-7))))\/((f\/(f*f**(-1)))\/f*f*((((f**(3\/5)*f)\/f)\/f)\/f)\/f) assuming f is positive.\nAnswer: f**(87\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 10429*0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 71399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.795812ml in litres?\nAnswer: 0.008795812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -94690, -378904, -852590, -1515742, -2368354, -3410420, -4641934, -6062890?\nAnswer: -7673282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f - 3*f = -4*x + 41, -2*x - 4*f = 12 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -w**3 + 12*w**2 - 9*w - 6. Let r be a(11). Let q(l) = -l + 15. Let x be q(r). What is the nearest to x in -3, -1\/5, -5\/2?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((c**(-17)*c**(-16\/7))**50)**27)**37 assuming c is positive.\nAnswer: c**(-6743250\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (10\/22*2629\/1673)\/(5\/6)?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/9 - ((-140)\/12 + -1). Suppose s - v = -4*f, -5*s + 12 = -4*f - 5. Suppose -n - 4*a + 117 + 41 = 0, 2 = f*a. Is n a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1982880 or 2\/3?\nAnswer: 1982880","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2992 by -136.\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2378659 is divided by 792881.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(p) = -p + 7. Suppose 0 = 5*n - 5, 4*m - 5*n = -34 - 59. Let d(x) = 15*x. Let s(g) = -4*g. Let u(y) = m*s(y) - 6*d(y). What is i(u(l))?\nAnswer: 2*l + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 40201.\nAnswer: 7, 5743","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 293 is divided by ((-9 - 8) + 8)*(-11)\/3.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16 + -22. Let n(r) = -r**3 - 5*r**2 + 6*r + 3. Let s be n(l). Solve 0 = -4*c + s*c + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -4*h**4 - 10757*h - 67617.\nAnswer: -16*h**3 - 10757","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/9*y**2 - 4 - 34\/9*y.\nAnswer: 2*(y - 18)*(y + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 54*x - 89. Let j(q) = 375*q - 635. Let o(r) = -2*j(r) + 15*n(r). What is o(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = x - 3*x. Find the second derivative of 3 - x*s**5 - 3 + 0*s - 2*s wrt s.\nAnswer: -80*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41 + 293\/7. Let f = -16 + 16. Suppose -3*x + 0*x + 23 = 4*l, 2*l + 3*x - 19 = f. Which is smaller: l or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j + 9 + 0 = -3*f, -8 = f - 2*j for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-9560)\/2868 - (-10)\/(-6)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.437 - 0.063. Which is the fourth smallest value? (a) 1\/2 (b) -13 (c) m (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22837 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.5 (b) 5411 (c) 0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27920 and 12564?\nAnswer: 251280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 v when four letters picked without replacement from {v: 5}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 137 - 140. Let c(l) be the third derivative of -l**4\/6 + l**3\/6 + 4*l**2. Let u(q) = -3*q + 1. Calculate m*u(s) + 2*c(s).\nAnswer: s - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 60 - 16027?\nAnswer: -15da7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 349?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (55 - 32 - h - 27)*(-13 - 1 + 1 + (4 - 1 - 1)*(-3 + 1 + 3)) as x + q*h and give q.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -71*p**2 + 98*p - 5. Let w(m) = 201*m**2 - 294*m + 15. Give 17*j(l) + 6*w(l).\nAnswer: -l**2 - 98*l + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 651?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i = -0*i + 5*y + 16, 40 = 5*i - 5*y. Suppose 0 = 2*l + i*u + 9 - 1, -2*u - 10 = 0. Calculate the remainder when 14 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-6*s + 5*s - s)*(2 + 2 - 3) + (-12975 - 12976 + 1078*s + 25951)*(2 - 5 - 1) to the form x*s + r and give x.\nAnswer: -4314","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) be the third derivative of -3*o**8\/112 - o**4\/6 - 11*o**2. What is the second derivative of y(q) wrt q?\nAnswer: -180*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*c + 119 + 521. Let m = -638\/5 - c. Factor 2\/5 - m*x**2 + 0*x.\nAnswer: -2*(x - 1)*(x + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 AM and 9:40 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fbg when three letters picked without replacement from {f: 13, b: 1, g: 1}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = h + 28. Let c(o) = 24*o. Calculate c(k(u)).\nAnswer: 24*u + 672","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 534210 is divided by 106841?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 112 - (19 + 113 - 149).\nAnswer: 129","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0354 - 2.2946. Let g = -3.05 + -117.88. Let j = a - g. What is j rounded to the nearest 10?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(v) = 9*v**5 + 42*v**4 - 147*v**3 + 324*v**2 - 324*v + 126. Let t(y) = 2*y**5 + y**4 + 2*y**3 - y**2 + 1. Let o(k) = -a(k) + 6*t(k). Factor o(b).\nAnswer: 3*(b - 5)*(b - 2)**3*(b - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*l - 29 = -25 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 18 - (-2 - (-2 - (0 + 1))). Suppose -c = -23*o + 22*o. Let a be (-42)\/4*4\/(-6). Solve a = 5*b + o for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113992545 is divided by 3742?\nAnswer: 3741","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -34e - -a3?\nAnswer: -29b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*v - v. Let q = 2931 - 2933. What is the closest to -0.2 in q, v, 2\/13?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.6 - 67885?\nAnswer: -67885.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*(-1 + sqrt(112) + -2 + (1 + sqrt(112) - sqrt(112))).\nAnswer: -8 + 16*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27*z**2 + 29*z**4 + 125*z**2 + 0*z**3 - 128*z - 23*z**3 + z**3 - 31*z**4 = 0.\nAnswer: -16, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*c - 3*k, -2*c - 5*k + 8 = -9 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -17 - 10 + 68 - 23 - 17. Let a(i) = -3*i + 11. Give 2*a(y) - 22*l(y).\nAnswer: -6*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 316784?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + (-12 - (-24 - -32 - (22 - 4))) + -74.\nAnswer: -78","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = 5*x - 2. Suppose -3*v + 0 - 3 = 0. Let c be ((-12)\/2)\/(0 + v). Let z be 6\/(-4)*4\/c. Let b(h) = h - 1. Determine z*s(p) + 4*b(p).\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -9 + 4\/(-18)\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:34 PM and 8:44 PM?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-34)\/(-51))\/((-4)\/6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h**2 + 41*h + 393. Calculate p(-14).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*d = -33*d + 659 + 101 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 335843531 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) be the second derivative of 5*n**3\/6 - 3*n**2\/2 + 351*n - 1. Let j(k) = -26*k + 15. What is -11*h(s) - 2*j(s)?\nAnswer: -3*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/(-6))\/(2\/(-3))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.18, -6, 2\/35.\nAnswer: -6, 2\/35, 0.18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 711 - 402. Suppose -2*j + 6*s = s - u, 4*s = 4. Is j prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) be the first derivative of -3*m**2 + 3\/2*m**4 + m**3 + 0*m + 1 - 3\/5*m**5. Factor t(z).\nAnswer: -3*z*(z - 2)*(z - 1)*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 906726.1 meters?\nAnswer: 906726100000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 207*z = -527 - 3141 - 6061 for z.\nAnswer: -47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 6 - 3. Let k be c\/((108\/40)\/9). Sort 2, -4, k in decreasing order.\nAnswer: k, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-8)\/(-18) - (-52752)\/33912. Solve -55\/2*t - 65 + 5\/2*t**m = 0 for t.\nAnswer: -2, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14 - -19. Suppose -p*c + 2*c + 5*j = -75, -3*c - j + 75 = 0. Solve u + c = 6*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -134*k**4 + 8 - 6 + 132*k**2 - 2 + 15*k**2 wrt k.\nAnswer: -3216*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-84)\/60 + (-4)\/(-10). Let c(b) = 2*b**2 + 6*b. Let f(s) = -s**2 - s. Let d(p) = h*c(p) - 4*f(p). Let d(r) = 0. What is r?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 260 and 1753533080?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34 is divided by 20.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.9 + -34. Which is the second smallest value? (a) q (b) 1 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes before 3:44 AM?\nAnswer: 1:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*m - 56*m - 25 = 0. Solve 3*d + 34 = -m*o, 11 = -3*o + 3*d + 5 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 1140*j + 47818. What is r(-42)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 109490?\nAnswer: -32847","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -18*a**3 + 24*a**2 + 320*a - 5*a**4 + 69*a**2 + 241*a**2 + 73*a**3 + 46*a**2 = 0 for a.\nAnswer: -4, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (3\/2)\/((-9861901)\/(-986188) + -10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 9*r. Let j(l) = 3 + 73*l - 23*l - 28*l + 8*l. Give k(j(t)).\nAnswer: 270*t + 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -91\/24 and -115\/19147188.\nAnswer: 38294376","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from hoohhoh. Give prob of sequence hoh.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = f**2 + 7*f + 9. Let t(n) = 2*n + 4. Let l be t(-5). Let p be c(l). What is the derivative of 5*s + 1 - 6*s - p wrt s?\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/19*8*(-4560)\/(-10944)*18\/(-10)?\nAnswer: 6\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -1359864 divided by -5?\nAnswer: 1359864\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4221754413?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -645 + -24?\nAnswer: -669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/21 + 4156*q\/21 - 2233606\/21.\nAnswer: 2*(q - 443)*(q + 2521)\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*d + 3168 = -5*d. Let u be (-3 + 0)\/(d\/12). What is the closest to 2 in u, -2\/21, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxlxxlxlll. Give prob of picking 2 l.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 8 and 2016712.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(14)\/sqrt(2) + 2)*6 - ((sqrt(175) + -1 - sqrt(7)) + -1))**2 - (sqrt(847) + 3*sqrt(847) + 3 - (-3*sqrt(847) + 2))**2.\nAnswer: -41280 - 98*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j**5 + 794826*j**4 - 52647287139*j**3 + 210576431532*j**2 = 0. What is j?\nAnswer: 0, 4, 132469","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*h + b = -15, 3*h - 16*b + 18*b - 21 = 0. Sort -2, 34, 6, h.\nAnswer: -2, h, 6, 34","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1)\/14*6\/(12\/(-4)).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3350*q**3*y**2 - 2*q**3 - 2*q + 2*y**3 - 4 wrt y?\nAnswer: 6700*q**3*y + 6*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-200)\/(-120)*14\/(630\/(-1053))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: What is 504 minutes after 10:24 PM?\nAnswer: 6:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2*2\/24*(1 - 9\/15).\nAnswer: -1\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.049, -27, -0.4?\nAnswer: -27","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 728*h**2 + 0 - 37*h**2.\nAnswer: -765*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -16 + 23. Suppose -4*x + 1 = -l. Suppose h + 0*u - x*u - 10 = 0, -h + 4*u = -18. Sort 1, -4, h in descending order.\nAnswer: h, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*d**4*f + 3*d**3*f - 28754*d**3 - 1538*d**2*f - 3*d**2 + 57*d*f wrt d.\nAnswer: 96*d*f + 18*f - 172524","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 180 and 5558160.\nAnswer: 16674480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (14952\/(-56))\/((-49)\/(-25) + -2).\nAnswer: 3, 5, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1, -158, 0, -2, -1 in ascending order.\nAnswer: -158, -2, -1, 0, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*1*(-5 + (-1*sqrt(605) + 2 - sqrt(605)) + sqrt(605) + 3*sqrt(605) + 0 + 5))**2.\nAnswer: 3168*sqrt(5) + 87264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4\/18 - 312\/(-54). Let v = p - 4. Factor -1\/2 + 1\/2*x**4 + 0*x**v - x**3 + x.\nAnswer: (x - 1)**3*(x + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3599 and 61?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - -1 - (3 - 6).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -22*s + 34*s + 12. Let x(y) = -3*y**3 + 4*y**2 + 8*y + 4. Let i be x(s). Solve -i*h = 71 - 56 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 124\/13? (a) 207 (b) 0 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -37\/2 + 17. Let s be (-20)\/3*(1 - (-20)\/(-8)). Let q be (7 - (-549)\/(-81)) + s\/36. What is the nearest to f in 1\/5, q, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67098176?\nAnswer: 2, 23, 79, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 6 = l, 2*c + 2 = 3*l - 5. Suppose -2*a = 4*o - 8, a - 4*o - 1 = -l*o. What is a rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 223*h - 1991*h**3 - 1730463*h**2 + 177*h + 1730459*h**2 wrt h.\nAnswer: -11946","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 350989442 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: What is the product of 3 and 928?\nAnswer: 2784","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -36 + 20 - 639*o**2 + 16.\nAnswer: -639*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0459601*0.5.\nAnswer: 0.02298005","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10 - -1111000000110011?\nAnswer: 1111000000110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 2\/7, 2, -1, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4 (b) 1 (c) 33\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes before 5:18 PM?\nAnswer: 10:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/47? (a) 2 (b) 3\/2 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = 55*f**2 - 15*f - 49. Let h(g) = -20*g**2 + 5*g + 17. Let v(j) = 14*h(j) + 5*s(j). Let n(k) = -4*k**2 - 4*k - 7. Determine -4*n(u) + 3*v(u).\nAnswer: u**2 + u + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 16830?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -5 (c) -46\/5 (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*t**3 - 1664445*t**2 - 84873690*t = 0. Calculate t.\nAnswer: -332838, -51, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooiriuriyiio. What is prob of picking 1 y and 2 i?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 446 + -207. Suppose -66 = -5*j + g. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 = 5*x - 4*t - 1, -3*t = 3*x - 21. Suppose 10 = -5*p + x*c - 3, p + 1 = 2*c. Do -2 and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -368688 divided by -8?\nAnswer: 46086","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 87*c*j*u + c*u + 7*c + j*o**2*u - 2*j*u - 2*j + 2*o**2 - 13*o with respect to u.\nAnswer: 87*c*j + c + j*o**2 - 2*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2 by -1441421.\nAnswer: -2\/1441421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-4)*0\/2. Suppose 4*r + 16 = w, 2*w - 48 = -w + 4*r. Suppose 4*i - 23 = 3*x + 41, i - x - w = y. Is i a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 75 - 29*a**3 + 328*a + 66*a**3 - 20*a**3 - 19*a**3 wrt a.\nAnswer: -6*a**2 + 328","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 395710 and 39571.\nAnswer: 395710","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4861, -4862, -4863?\n\"Answer: -l - 4860","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 16560*g**4 - 58148*g**3 + 17218*g**2 + 24652*g - 282 = 0.\nAnswer: -1\/2, 47\/4140, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = f**3 + 3*f**2 + 4*f + 16. Let i(y) = -y**2 + 24*y - 57. Let w be i(21). Is 38 a factor of v(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 134.14 + -133. Let c = -41943688.86000276 + 41943690. Let k = x - c. What is k rounded to seven decimal places?\nAnswer: 0.0000028","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 v when two letters picked without replacement from bvvbbbb?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 610272 and 39266048.\nAnswer: 5216","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1.1 + -3.9. Let v = 0.114 + 2.886. What is the nearest to 1 in s, v, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = -12*l + 524500 - 524508, -2*p = 4*l + 36 for p.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u = 2*n + 55, -9*u + 4*u + 95 = -3*n. Let v be (266\/(-6) - 11\/(-33)) + 0. Is n at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1117*q + 312*q - 1117*q - 3232*q + 2 - 6 + q**2.\nAnswer: q**2 - 5154*q - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 23, 30, 37, 44, 51?\n\"Answer: 7*b + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 14) to base 2\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 31 - 31. Differentiate b*d**3 + 14*d**3 - 9 - 17*d**3 - 16*d**3 wrt d.\nAnswer: -57*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*n - 5*m + 11, -3*n + 6 = 4*m - 2. Let c = n + 1. Let f(l) = -2*l**3 + 40*l**2 + 44*l - 35. Let s be f(21). Is s at most c?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -8, -2\/33, -2\/5, 0, -2072?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 3*x = 0. Suppose x*p = p - 2. Suppose -p*v - 27 + 9 = 5*n, 0 = -2*n - 8. Put v, 2, 4 in ascending order.\nAnswer: v, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 19*x - 21*x + d, x - 5*d + 9 = 0. What is the closest to -2 in 0.5, 3, x, 65\/6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 178 divide 164016676?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hlllbllhll. What is prob of sequence bh?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -1224*s - 501. What is the tens digit of w(-4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/3)\/((339\/452)\/((-189)\/224)).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54272*m**4 + 7*m**2 - 8*m - 3 wrt m.\nAnswer: -1302528*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -11520? (a) -1 (b) -4\/3 (c) 1\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*-2*sqrt(204) + (sqrt(204)*-2*-4 - sqrt(204)))\/(1*sqrt(972) + (sqrt(72)\/sqrt(3))\/sqrt(2)).\nAnswer: 17*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -327 + 360. Suppose 1966 = u*m - 6845. List the prime factors of m.\nAnswer: 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -82, -209, -336, -463, -590?\nAnswer: -717","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2*d)*(-2*d**2 + 4*d**2 - 3*d**2) + 49*d**2 - 49*d**2 - 6*d**3 - 3*d**3 + 0*d**3 + 4*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:16 PM and 7:17 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 3 = -3*s, -3*s + 5*s = -4*c - 6. Let q be 3 + -6 - (-66)\/3. Suppose 46 = s*o - q. What is the greatest common divisor of o and 91?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 121\/516502 or 0?\nAnswer: 121\/516502","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 7652257397 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-21)\/7*203\/(-87).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 704566 to the power of 1\/3, to the nearest integer?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Factor -24\/5*j**2 + 4\/5*j**3 - 32\/5 + 48\/5*j.\nAnswer: 4*(j - 2)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 721946 or 721925?\nAnswer: 721946","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-224)\/16*22\/132.\nAnswer: -7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {k: 4, m: 6, c: 2}. What is prob of sequence mmm?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*c + 2*o = 11*c + 3, c - 2*o - 1 = 0 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -p**2. Let a(f) = -18*f**2 + 7*f + 4. Let r(n) = 73*n**2 - 27*n - 18. Let q(c) = -9*a(c) - 2*r(c). Give s(q(y)).\nAnswer: -256*y**4 + 288*y**3 - 81*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 709 divide 3125773234?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 149076 divided by 2.\nAnswer: 74538","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 114 - 46 - 35 + 214*p - 33 + 918*p.\nAnswer: 1132*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57990 = 81*z + 104*z - 170*z. What is the highest common divisor of z and 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 204\/42 - 3\/(-21). Let x = 74 - 39. Let z = x + -15. Solve z = 5*u - 5*t, -w*t = 2*u + 41 - 14 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 198300 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 332773159 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes before 4:19 PM?\nAnswer: 7:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 - -38. Suppose 2*p = 7*p - b. Calculate the highest common factor of p and 24.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -257 + 391. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n = 2*u - 6, -2*n + 20 = 3*n. Let f be 2\/u + -2 - 1. What is the nearest to 0 in f, 4, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -x - 1. Let z be w(-7). Let o be 12\/8*(-20)\/z. Let m = -0.6 + 0.1. What is the third biggest value in o, m, 1?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0\/(-4) + (-31274)\/(-1). Suppose 0 = 3*o - 5*o + r. Suppose 5*l + 20363 = -o. Round l to the nearest one thousand.\nAnswer: -7000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -63 - -65. Let k(y) = 2*y + 4*y**2 - 9 + 3*y - y**3 + y. Let c be k(5). Put c, i, 5 in descending order.\nAnswer: 5, i, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**3 - 4584*f**2 - 72576*f - 289280 = 0.\nAnswer: -1130, -8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.0102 - -58.9898. Let n = q - 58.98. Sort -3\/7, -2, n, 0.2 in ascending order.\nAnswer: -2, -3\/7, n, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (5*(224\/223 + -1))\/(-10 - -9). Does 1 = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6.66567531 rounded to 4 dps?\nAnswer: -6.6657","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -15*f**2 + f - 7. Let g(u) = 42*u**2 - 5*u + 21. Determine 6*g(y) + 17*j(y).\nAnswer: -3*y**2 - 13*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 15*x**3 + 5*x**2 + 2*x - 4. Let p = -35245 + 35242. Let l(h) = 31*h**3 + 9*h**2 + 3*h - 7. Give p*l(t) + 5*c(t).\nAnswer: -18*t**3 - 2*t**2 + t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -11555301 - -1?\nAnswer: -11555300","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i - 5 = 4*f, -4 = -f - 3*i - 0. Let t = 20 + f. Calculate the greatest common divisor of 3 and t.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 32 - 132*r**2 + 46*r**2 + 26 - 93 + 35.\nAnswer: -86*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -205, -203, -201, -199?\n\"Answer: 2*o - 207","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 160 and (-532)\/28 + 178101\/110 + 1\/(-10).\nAnswer: 1600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -551 - -551. Suppose i - 724 = -2*p, f = -p - 0*p - i + 360. Is 52 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1209793 rounded to the nearest 100000?\nAnswer: 1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 474?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**2 - 4*w - 3. Let a be m(-3). Let o be ((4\/2)\/2)\/1. Which is smaller: a or o?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3194 + 3193.969976. Let l = q + 0.03. Round l to five dps.\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3114 - -16122. Is q a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6600515 times -5\nAnswer: -33002575","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*c + 1161 = -3*c. Suppose 4*p + 57 = -2*g - 153, c = -4*g + 3*p. What is g rounded to the nearest ten?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 110086*k + 90*k**2 - 110086*k.\nAnswer: 90*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v = -12 - 63. Suppose -5*u = -3*w + v, -4*w + 0*w + 20 = 5*u. Let o(k) = -k. Let m be o(u). Solve 4*x = 5*n - 20, 4*n - x + 1 - 6 = m for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -165, -148, -131, -114?\n\"Answer: 17*h - 182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 950*u**2 - 1480050 + 1480050.\nAnswer: 950*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5\/4, 68, 10.\nAnswer: -5\/4, 0, 10, 68","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3\/18 - 106\/(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 8829*q**3 + 3*q**2 - 7*q - 221083599?\nAnswer: 26487*q**2 + 6*q - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nzj when three letters picked without replacement from jfnffnnfnjzffnnfj.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (141\/(-6))\/((-2)\/12)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -44 - -94. Suppose -14 = 4*l - w. What are the prime factors of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-6)\/(-12))\/((-1659)\/126 + (6 - -7)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 506547 by 1971.\nAnswer: 257","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 689701636.\nAnswer: 2, 13, 13263493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (2\/3)\/(2\/3). Let t = a - -2. Factor -4*r**3 - 3*r**t + 6*r**3 - r**2.\nAnswer: -r**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -44\/55136987 and 53\/785?\nAnswer: 275684935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -307 (c) 7 (d) -8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 < -1\/26046?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2. Let v(s) be the first derivative of -s**4\/24 + 10*s**2 - 24. Let k(o) be the second derivative of v(o). Determine k(x(z)).\nAnswer: 2*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -89\/2 + 983\/22. What is the nearest to 1\/3 in -1\/3, 5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -17*a**2*i*y + 2*a**2 - a*i*k + 6*a*k*y - 3*i*k + 2*k*y + 3*y wrt i.\nAnswer: -17*a**2*y - a*k - 3*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = 18*r - 73. Let p be g(4). Which is smaller: p or 0?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-16)\/40 - (1872\/(-10))\/3?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1911 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 17*b + 3 = 0. Let c(u) = 2*u**3 - u**2 + 2*u - 1. Let i be c(b). Suppose 3*r - 14 = -2*z, 0 = r + 5*z + i + 2. What is the units digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**0)**(3\/11))**3\/((s\/(s*s*s**(1\/2)))\/(s*s**4)*(s**0*s)**(-2\/17)) assuming s is positive.\nAnswer: s**(225\/34)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -30829169*k**3 + 195*k**2 - 32*k + 601 wrt k.\nAnswer: -184975014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-37)\/(n*n\/n**(3\/11)))\/((n\/(n*n**(-2\/85)*n))\/((n\/(n**2\/n))\/n)) assuming n is positive.\nAnswer: n**(-36232\/935)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*i + 4*j - 3*j + 1169, 5*i = j + 1461. Let o = i + -28. Let f(d) = d**2 + 4*d - 8. Let l be f(-8). What is the greatest common factor of l and o?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 30*a**2 - 2*a + 3. Give y(1).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1300*j**3 + 2133*j**3 - 3398*j**3.\nAnswer: 35*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -h**4 - 3775*h**3 - 11*h**2 - 18485 with respect to h.\nAnswer: -4*h**3 - 11325*h**2 - 22*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 19806*u**3 + 3*u**2 + 474088*u?\nAnswer: 118836*u + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 683375.8 millilitres to litres.\nAnswer: 683.3758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 370*i**2 + 214*i**2 + 326*i**2 + 330*i**2.\nAnswer: 1240*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 631 is divided by 166?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 17 - (8\/18)\/((-108)\/(-486)). Solve 5*x = 5*k + 3 + 27, 5*k = -4*x + l for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 1, 41, -4, -1 in decreasing order.\nAnswer: 41, 1, -1, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*n + 1 - 11. Suppose 0 = -n*d + 6 - 2. Suppose 210*a = 192*a + 54. Solve a*v + b - 7 = 2*v, -b = -d for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 3316*j**2 + 61*j + 7. Let w be r(1). Calculate the highest common divisor of w and 216.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*2*((-3*(1 + sqrt(363) - sqrt(363)))**2*-3 - ((sqrt(300) + 1 + sqrt(300))**2 + -2 + -2)).\nAnswer: -4896 - 160*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 2, i: 4}. What is prob of sequence ui?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l**3 - 4*l**2 + l + 6. What is s(5)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*c + 0*c - c)*(2*c + c**2 - 2*c) - 2*c**3 + 0 + 0 + 54*c**3 + 4*c**3 + 125*c**3.\nAnswer: 182*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 448 minutes before 12:01 AM?\nAnswer: 4:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 45, 42, 39, 36, 33?\n\"Answer: -3*v + 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 9 a factor of 243166?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 2 and 528.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000121587 rounded to 7 decimal places?\nAnswer: 0.0000122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523611 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 165799465596 + -5?\nAnswer: 165799465591","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) be the second derivative of 277*p**5\/20 - p**2\/2 - 14*p + 1. What are the prime factors of c(1)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 5 and 4.4429.\nAnswer: 9.4429","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.6 in 3\/4, -86, -0.108755?\nAnswer: -0.108755","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 73, 101, 129, 157, 185, 213?\n\"Answer: 28*m + 45","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 188 - 44. Let n = u + -46. Suppose n = -0*s + 5*s + b, 0 = 4*s - b - 82. Calculate the remainder when s is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) -2 (b) 3\/8 (c) 5 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 132 + 714. Calculate the highest common divisor of q and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1279, -1347, -1417, -1489, -1563?\nAnswer: -1639","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -81380 + 321380. Round a to the nearest one hundred thousand.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2*0.074\nAnswer: -0.148","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -13 - 20?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) be the third derivative of h**5\/30 - 3*h**4\/8 - 37*h**3\/6 - 10*h**2. Let o be p(-6). Let v = o - 66. Solve -v + 7 = 4*n for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 32 - 59. Let t = y + 40. Let f = t + -12.6. Sort 4, f, -10 in ascending order.\nAnswer: -10, f, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118 - 22 = 6*w. What is the common denominator of (-8416)\/(-2304) + (-6)\/w and ((90\/4)\/5)\/7?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d = -2*b + 9, -b - 2*b + 18 = 2*d. Let l = 19 - d. Suppose -l = -8*v + 3*v. Solve 0*y + v = -2*y, 3*o + 7 = -4*y for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 15*h + 146 - 101 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1011 - 952. What are the prime factors of w?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (44 - 2*u + 38 - 61)*(14*u + 5*u**2 - 14*u) + (-4*u - 2*u**3 + 4*u)*(-2 + 4 + 0) - 2*u**3 + 4*u**3 - 4*u**3 to n*u**3 + v*u**2 + x*u + r and give v.\nAnswer: 105","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 293055961?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 0 (b) 299 (c) 0.1 (d) -11\/3 (e) -145 (f) 0.5\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (p + p - p + (-2*p + p - p)*(3 - 1 - 4) + 3*p - 2*p - 2*p)*(-2 - 3 + 15).\nAnswer: 40*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 139\/474 and -33\/2?\nAnswer: 474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -14*(-2 - 436\/8) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = -z**2 + 35*z - 119. Let r be v(31). Solve -15 = 5*g + r for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:11 AM and 11:47 AM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 90\/11*m + 162\/11 - 14*m**2 - 98\/11*m**3 = 0.\nAnswer: -9\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2568773 rounded to 1 decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 r when three letters picked without replacement from ccrccrrccc.\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.549269mg?\nAnswer: 1549.269","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t - 4*w = -21, -37 + 4 = -5*t - 2*w. Solve 3*x - 6 = t*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17 - 27. Let v = y + 14. Solve -5*z + 2*z = -v*x - 35, 3*z + 5*x + 10 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10600 divided by 5?\nAnswer: 2120","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 7*g**2 - 9*g + 7. Let z(y) = -13*y**2 + 17*y - 13. Let n(b) = 11*c(b) + 6*z(b). Let i be n(4). What is the nearest to 1 in -0.1, -2\/7, i?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*t - 10*t - 3218 = -52*t - 8006 for t.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -18. Let q = -3 - -1. Let l be o\/q - (9 - 12). Let d(g) = -4*g - 3. Let y(z) = 3*z + 2. Calculate l*d(n) + 7*y(n).\nAnswer: n - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.5 + -0.4. Let f = -1 - y. Let g be (1 - (-3)\/(-4))\/(350\/(-600)). What is the closest to f in g, -2, -5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -19\/810 and -89\/675?\nAnswer: 4050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 0 + -307?\nAnswer: -307","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 78*m - 74*m = 5*j + 10, 4*m = 4*j + 8. Suppose -100 = -3*w - 2*w. Let f be (-4)\/(w\/12*3). Sort j, f, 0.\nAnswer: j, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 456 and 1585911?\nAnswer: 12687288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -7, -4, 7, 26, 53, 88, 131?\n\"Answer: 4*q**2 - 9*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 12320*2.1\nAnswer: 25872","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vzavu. Give prob of picking 1 v and 1 a.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -f**2*r**2 - 135*f**2 + 2*f*q*r**2 - f*q*r + 4*q*r - 2*r**2 + 1 wrt r.\nAnswer: -2*f**2 + 4*f*q - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 2*k + 6)*((4 - 5 + 0)*(-2*k - k + k) + 420 + 2*k - 420)*(k + 0*k - 3*k).\nAnswer: -16*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 2*a + 2. Let w be g(-1). Suppose w*k + 2*k = 68. Is k a multiple of 17?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 130096*u + 1. Let k(y) = -47*y. What is k(q(o))?\nAnswer: -6114512*o - 47","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3\/2 - 0)\/((-10)\/20). Let k be (3\/(24\/(-38)))\/(v\/12). What is the common denominator of (-82)\/40 - (20 - k) and -61\/24?\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*s + 4*q - 0, -s - 3*q = -16. Let n = 136 - 121. What is the remainder when n is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12 - -10. Let p be 2\/c*2\/(-12). Suppose 4*x = 2*x - 2. What is the nearest to -1 in p, x, -2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 26.1 + 3.3. Let h = 29 - k. Put h, 2, 3 in descending order.\nAnswer: 3, 2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -13211, -13156, -13095, -13028?\nAnswer: -12955","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*j + 22*j + 14*j - 48*j.\nAnswer: 3*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 2*d - 4*d - d + 4*d + (9 - 2 + 1)*(2 + d - 2))*(2*d - d + 2*d)*(-282*d**2 - 290*d**2 + 563*d**2).\nAnswer: -243*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*((sqrt(684) - (sqrt(684) + (-3 + sqrt(684) + 3 - sqrt(684)))) + -3 + -5 + -3 + 4) + 5)**2.\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 6 + -6. Let g = 1 - 1. Let p = g + -1. Do z and p have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 207?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the third derivative of c**7\/1260 + c**4\/3 + 12*c**2. Let g(z) be the second derivative of o(z). Let q(j) = -11*j. What is g(q(p))?\nAnswer: 242*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) -1\/7 (b) -0.458 (c) -3\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-16)\/(-24)*(-540)\/11. Let h = x - -6796\/209. Sort 2, -5, h.\nAnswer: -5, h, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1736283, 1736141, 1735999, 1735857, 1735715?\nAnswer: 1735573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -2 + 10. Let v = 5 + -4. Calculate the greatest common factor of v and a.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/5 (b) 0.0745 (c) -0.1 (d) 3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/4 - 3\/(-6). Let d(z) = -6*z**3 + z + 1. Let x(a) be the first derivative of -a**4\/4 - a**2\/2 - a + 4461. Give i*x(y) + d(y).\nAnswer: -7*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v + 27 - 4 = 5*j, 0 = 4*j - 20. Let u be 2 + -17 + v\/(-1). Let o be (3\/u)\/((-12)\/(-16)). Which is the closest to 1\/3? (a) -4 (b) o (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 2644\/15, 3, -3\/2, 37, -5, -3\/8?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 39443.\nAnswer: 39443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 72506 - 72505.9810071. Let x = -0.019 + c. Round x to 6 decimal places.\nAnswer: -0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - -1. Calculate the remainder when 30 is divided by x.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -f**3 + f**3 + f**3 + (-1 + 1 - 3*f)*(11144*f**2 - 2 - 11146*f**2 - 45*f + 0) + (-2*f + 0*f + 3*f)*(-3*f**2 + 5*f**2 - f**2).\nAnswer: 8*f**3 + 135*f**2 + 6*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 9936874, 19873744, 29810614, 39747484?\nAnswer: 49684354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = -2*j + 3*j. Suppose 5*x = 103 + j. List the prime factors of x.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2122012110012 (base 3) to base 10.\nAnswer: -1401467","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*k - 13*k - 8*k)*(-297*k + 95*k - 144*k).\nAnswer: 7266*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = 2*s**3 - 25*s**2 + 13*s - 16. What is y(12)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -249*q + 251. Give r(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*s = 3*r + 24, -93*s - 3*r - 40 = -88*s for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 17*k**2 - 3*k + 23. Let n(j) = -8*j**2 + j - 11. What is 13*n(t) + 6*r(t)?\nAnswer: -2*t**2 - 5*t - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: 115.6982*69\nAnswer: 7983.1758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 3\/(-4) + 268\/16 + 2. Let u(a) = -144*a. Let w be u(-1). What is the greatest common divisor of y and w?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -75332.1 - 3.\nAnswer: -75335.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.28544528 rounded to four dps?\nAnswer: 1.2854","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + sqrt(425))*-5.\nAnswer: -25*sqrt(17) - 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*w + 4 = 11*w, 2*x - w - 13 = 0. What are the prime factors of x?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 73*a - 290. Let r be d(4). Let z(s) be the second derivative of -1\/6*s**3 - 16*s - 1\/16*s**4 + 0 - 3\/16*s**r + 1\/240*s**6 + 0*s**5. Factor z(c).\nAnswer: (c - 3)*(c + 1)**3\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -11067 - -10815. Round d to the nearest 1000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1804 or 45122\/25?\nAnswer: 45122\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p - 48 = -2*d, -4*d = -9*d - p + 108. What is the units digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 58343 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -2022.2509 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, t: 3, l: 8, v: 2, e: 3}. What is prob of picking 1 t and 1 g?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 4 = 6*q. Let z(m) = q - 7 + 1 - m. Let d be z(-8). Solve -j = d*j + 8 for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 4 (b) -2\/3 (c) 13.25 (d) -1\/4 (e) -1 (f) 0.3 (g) -0.1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1 - 17\/(-2))*138\/(-207). Let u(f) = -f**3 - 6*f**2 - 14*f - 33. Let p be u(d). Solve -2*r - p = 2*r for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 2*i**2 - 5*i - 6. Let t(p) = -p**2 + 3*p + 3. Let u = -1 + 3. Let s(y) = u*f(y) + 5*t(y). Is s(3) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1966?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -111*p**2 + 101*p**2 + 4 + 29*p + p**2 - 2*p**2 in the form n*p + a*p**2 + w and give n.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7 (base 14) to base 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -134 take away 0.07569392?\nAnswer: -134.07569392","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 719*p + 157. Is 69 a factor of n(16)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 16) to base 8.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 321947?\nAnswer: 321947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1 (b) -3294 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of -k + 1\/2*k**2 - 2. What is the derivative of v(a) wrt a?\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 to the power of 1\/7, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*s - 22 = 5*c + 8, -4*s + 24 = -c. Suppose 0 = -5*i - s*q + 2*q + 12, 5*q = -i - 6. Suppose w - 2*w + 2*v = -63, 0 = w - i*v - 61. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 9418456 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round 182301729 to the nearest one hundred thousand.\nAnswer: 182300000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(-8)*k*k)\/k)\/(k*k*k**2)*k**(-1)*k**3)\/((k**(-1\/5)*k)**(-25)\/(k**(-5\/2)\/k**(-2\/3))) assuming k is positive.\nAnswer: k**(55\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/2 in -36\/7, -0.4, 2?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000000223645 to six decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -346*k = -66*k - 560. Let g be (-2)\/3 - (-21)\/18. What is v in v**k + 0 - 1\/2*v - g*v**3 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -199.6 + 168. Which is the second smallest value? (a) k (b) 2 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2*3)\/((-7)\/(-7)). Solve -4*v + 6 + f = 0, 0 = 4*o - 2*v + 10 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 108 smaller than 108?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 34130 - 5?\nAnswer: 34122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 951941425 to the power of 1\/2, to the nearest integer?\nAnswer: 30854","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Does 46 divide 2388?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = 148*k - 23. Let d(f) = 295*f - 46. Let i(y) = -11*c(y) + 6*d(y). Is i(9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h**(-15)*h)\/((h**27\/h)\/h) assuming h is positive.\nAnswer: h**(-38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-10)*c)\/(c\/c**(-19)*c) assuming c is positive.\nAnswer: c**(-30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3280*k + 12957*k + 12802*k.\nAnswer: 22479*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -219 - -298. Let f = -84 + q. Let h = 0.3 - -0.2. What is the third smallest value in f, 0.3, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -205*z + 396*z - 197*z.\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00002073324 rounded to six dps?\nAnswer: -0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:44 AM and 5:38 PM?\nAnswer: 714","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*f - 8 + 8)*(131 + 67 - 49).\nAnswer: -1043*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 2*y**2 + 2091*y + 386096. Calculate k(-806).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 165 minutes before 8:18 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = y - 0*y - 4. Suppose -4*u = y*p - 4, 7*p = -u + 3*p - 2. What is the units digit of u?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15308 (base 9) in base 12?\nAnswer: -6075","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = 7*s**2 - 8*s. Let j(d) = 5*d**2 - 5*d. Let n(u) = -5*b(u) + 8*j(u). Let y(x) = -14*x - 15*x - 9*x + 42*x - 8*x. What is y(n(g))?\nAnswer: -20*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 89 and 33223?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 291, 268, 243, 216, 187?\nAnswer: 156","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2 + -30213334?\nAnswer: -30213341","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + -28 + -1607 + 1672?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 163 = -98*m - 229 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 47 + -44. Which is the nearest to 2\/3? (a) -10 (b) -5 (c) y\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is four sevenths of a week in days?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 650?\nAnswer: 2, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the third derivative of -f**5\/300 + 9*f**4\/40 + 16*f**3\/3 - 12*f**2 + 9. Factor a(j).\nAnswer: -(j - 32)*(j + 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 5 - -6 - -1 - 11?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:17 PM and 12:26 PM?\nAnswer: 9","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*a**4 - a**3 + 46*a + 2*a**3 - 48*a to the form b*a + l + r*a**3 + h*a**4 + k*a**2 and give r.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 - 4 - -5) + 61. Find w, given that -60*w + 5*w + 120*w**3 - 15*w**5 - 185*w - 1040 + 520*w**2 - a*w**4 = 0.\nAnswer: -13\/3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 371\/(-1288) - (-339)\/904?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find l such that 182\/5*l + 528\/5 + 2\/5*l**2 = 0.\nAnswer: -88, -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -267 + 5873\/22. Let h = p - -6\/11. Let -1\/4*q**5 + h*q + 0 - 1\/4*q**3 + 3\/4*q**2 - 3\/4*q**4 = 0. Calculate q.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = -6*j - 12. Let m be g(-1). Let l be (-12)\/m*-7*1\/2. Let h(q) = q**2 + 6*q + 5. Give h(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 15046?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 101*h + 42*h = -74953 + 1182631. What is the thousands digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -1887*h + 296. Let x(q) = -53*q - 144. Let s(n) = -26*n - 79. Let p(l) = -11*s(l) + 6*x(l). What is 5*j(i) - 296*p(i)?\nAnswer: 37*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 24215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*i = 5*q + 2 + 43, -3*i = -4*q - 35 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 3*u = 21, -3*i + 2*u = 2*i - 11. Factor 0 + 0*b - 4\/7*b**2 + 10\/7*b**i.\nAnswer: 2*b**2*(5*b - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 + -25 + 7 - (-1 + -82).\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 24455114 to the nearest integer?\nAnswer: 290","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-5)\/((16\/(-4))\/4). Calculate the highest common divisor of o and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 238 - 235. Solve -f = 3*i + 1, -f - 8 = -r*i - i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r + 4*u - 68 = 50, -3*r + 2*u + 148 = 0. Suppose 56 = 2*t - 4*y - r, -t - 5*y = -51. Is 32 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the second derivative of 3\/14*b**3 + 12*b + 0 - 3\/14*b**2 - 3\/28*b**4 + 3\/140*b**5. Factor n(f).\nAnswer: 3*(f - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = 706*k + 4875. Determine p(-7).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 475956421 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -2*b**2 - 16*b + 132. Give r(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide 283955148 by 4115292.\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -81\/16 and 25\/205774.\nAnswer: 1646192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-76 + 321 - 66) + -75?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 y when three letters picked without replacement from {f: 6, y: 7}.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -v - 5, 5*v = -4*t + 75. Let n(d) = 19*d**2 + d - 2. Calculate the remainder when n(-2) is divided by t.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00043116 to five decimal places.\nAnswer: 0.00043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -33*o**8\/56 - o**7\/21 + o**4\/6 + 22*o**3\/3 - 65*o. Find the third derivative of l(v) wrt v.\nAnswer: -3960*v**3 - 120*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2064349346 to the nearest integer?\nAnswer: 45435","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -262, -752, -1704, -3352, -5930, -9672, -14812?\n\"Answer: -39*z**3 + 3*z**2 - 226*z","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:02 AM and 1:07 PM?\nAnswer: 185","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 6 - 3)*(0*q - 2*q + 3*q) - 86 - 7*q + 86 + (2*q - q + 0*q)*(4 - 5 - 4) as x*q + o and give x.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 238 minutes after 5:42 PM?\nAnswer: 9:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -284 - 620 = -2*z - 4*r, 0 = 3*r - 7*r. Calculate the highest common factor of z and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -495, -1001, -1529, -2085, -2675, -3305, -3981, -4709?\n\"Answer: -n**3 - 5*n**2 - 484*n - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rw when two letters picked without replacement from wrrrw.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 12*q - 272. Determine j(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 19 + -7 + 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3616 (base 11) to base 9.\nAnswer: -6442","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 11, 29, 47, 65, 83, 101?\n\"Answer: 18*f - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000277172 rounded to six dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 10 - 1247479.1?\nAnswer: -1247469.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -808 smaller than -807?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -f**3 + 7*f**2 - 3*f + 8. Calculate j(7).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (2*(sqrt(152) + (sqrt(152) + (2*sqrt(152) - sqrt(152)) + sqrt(152))*-2)\/(sqrt(2352)\/sqrt(6) - sqrt(8)))**2.\nAnswer: 520\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1234 is divided by 409?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 0*s + 5*r = -1535, -4*r + 907 = 3*s. Let v = s - 319. Which is the nearest to -0.2? (a) -1 (b) v (c) -1\/2 (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 + 8*d - 34. Give f(-10).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.173 rounded to one decimal place?\nAnswer: 82.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 7 + 25 - 2*q as x + d*q and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1451033?\nAnswer: 113, 12841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, -1251, -1, -0.16.\nAnswer: -1251, -1, -0.16, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zz when two letters picked without replacement from bzppbzzrxbp.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -0.85 * -1463155\nAnswer: 1243681.75","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 + -3)\/(3\/27*9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*z = 170 - 234. Solve 3*x - z + 17 = 0 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 = -4*j + j, -2*j = 3*y + 29. Let u = 17 + y. Suppose -2*n - u = 3*b - 85, 2*n - b = 63. What is the units digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23798*x + 23815*x - 1295 = -88 for x.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3450886 = -49*o + 97*o + 41*o. List the prime factors of o.\nAnswer: 2, 19387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -5836308 by -972718.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -16869 - -16869.010503. What is q rounded to 3 decimal places?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 27, 1, -1344, 5, 3 in ascending order.\nAnswer: -1344, 1, 3, 5, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -74 + 15. Let n = -58.999911 - b. Round n to five decimal places.\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 882 - 797 = y. Calculate the highest common divisor of 295 and y.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ptpypwtyjywpppw. Give prob of picking 2 y.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that 1\/5 - 9\/10*m + m**2 - 3\/10*m**3 = 0.\nAnswer: 1\/3, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -361 (base 11) in base 10?\nAnswer: -430","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -318*g + 1375 + 1045 = 166*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b + 2*b = -3*j - 10, 4*b - 4 = -j for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = -5*j**2 - 6 + 5*j - 9*j - j. Let q be (1 + -7)\/(-6)*(-2)\/(-2). Let s(v) = v**2 + v + 1. Determine q*c(o) + 4*s(o).\nAnswer: -o**2 - o - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9317, -4, -8572 in ascending order.\nAnswer: -8572, -4, 9317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 = -6*z - 0*z. Factor f + f**4 - 1\/4*f**3 - 1\/4*f**5 + 2 - 5\/2*f**z.\nAnswer: -(f - 2)**3*(f + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -224 + 1?\nAnswer: -223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 620386.\nAnswer: 2, 13, 107, 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 9*r**3 - 7*r**2 - 5*r. Let o(z) = 5*z**3 - 4*z**2 - 3*z. Suppose -2*t + t = 3*a + 16, -4*a = -4*t. Give t*h(d) + 7*o(d).\nAnswer: -d**3 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.51 * 2.\nAnswer: 1.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -909\/7 - -130. Let n = -1811\/9 - -201. What is the smallest value in o, n, 3\/5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 0 - 8*g**2 + 22*g**2 - 2*g**2 + 31. Let v(w) = -12*w**2 - 30. Let a(b) = -2*v(b) - 3*y(b). What is the first derivative of a(f) wrt f?\nAnswer: -24*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 50.19292ug?\nAnswer: 0.00000005019292","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 + -128b546?\nAnswer: -128b545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = 12*m + 332. Give v(-26).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1340*a**5 + 23961*a**2 - 59578080*a wrt a?\nAnswer: -26800*a**3 + 47922","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*c + 6*c + 5*c)*(-3*c - 3*c + 4*c) + (-1 - 2 + 6)*(-2*c**2 + 7*c**2 - c**2) - 2*c - 2*c**2 + 2*c.\nAnswer: 2*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0512027 - -0.0506. What is s rounded to 5 dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3452*0.16\nAnswer: -552.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -3139 + 3559. What is the least common multiple of m and 120?\nAnswer: 840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 0 - h + 738*h**2 - 575*h**2)*(6*h**3 + 11*h**3 - 5*h**3).\nAnswer: 1956*h**5 - 12*h**4 + 48*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + -12 + -2 + -6.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort -20, -5, -83, -3, -2 in descending order.\nAnswer: -2, -3, -5, -20, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -2221.40957 rounded to the nearest 1000?\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) be the first derivative of 1\/22*g**4 - 2\/11*g - 1\/11*g**2 + 12 + 2\/33*g**3. What is o in m(o) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 65047163?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 96\/6*-49*(-7)\/(-196)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Add together 888150826 and 0.237.\nAnswer: 888150826.237","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 2*t**3 - 15*t**2 + 3*t - 85. Let q be b(8). Solve 5*v + h = 20, -32*v + 35*v = -q*h + 12 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -11 (b) 5 (c) -0.043 (d) -148\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -377\/5 + 75. Which is the closest to z? (a) 10 (b) 0.07 (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 5*d + 5*i, -5*d - 3*i + 10 = -2*i. Let a be (-2 - 3)*(0 - d). Solve -q + a*h = -10, h + 6 = 5*q - 20 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o*o*o**13\/o*o)\/(o\/o**(-7\/2))*(o**1)**(1\/2) assuming o is positive.\nAnswer: o**11","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Work out -83.924 - 44441482.\nAnswer: -44441565.924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 103\/14 in 0.4, 0, 5, -36?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 944, 3441, 7604, 13433, 20928, 30089, 40916?\n\"Answer: 833*t**2 - 2*t + 113","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11000101100101011 - -100?\nAnswer: 11000101100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) be the third derivative of 0 - 1\/120*r**5 + 0*r + 1\/12*r**4 - 10*r**2 - 1\/90*r**6 + 0*r**3. Let o(v) be the second derivative of x(v). Determine o(1).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12117149 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -2 (b) -250 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 785\/2 or 394?\nAnswer: 785\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Product of 14 and -0.036.\nAnswer: -0.504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 124 - 2692*d - 129 + 5 - 1727*d.\nAnswer: -4419*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 605066017?\nAnswer: 605066017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*b - 17*b = -90. Suppose 76 = 2*v + g + g, -b = -v + g. Calculate the highest common divisor of 170 and v.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 r when two letters picked without replacement from {a: 2, e: 2, d: 1, r: 3, y: 2, p: 2}.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 3713, 7233, 10585, 13781, 16833, 19753?\n\"Answer: 2*q**3 - 96*q**2 + 3794*q + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) be the second derivative of y**5\/240 - y**4\/16 + 7*y**3\/36 + y**2 - 632*y + 1. Suppose v(p) = 0. What is p?\nAnswer: -1, 4, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k**(5\/6))\/k*k**(-4\/5)*(k\/(k*k\/k**(2\/5)*k))\/(k\/k**(-1\/3)) assuming k is positive.\nAnswer: k**(-29\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5084?\nAnswer: 2, 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-602*p**2 + 1217*p**2 + 54*p**2)*(-p + 0*p + 3*p).\nAnswer: 1338*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(110)*-1 + sqrt(110) + sqrt(110) + 3*sqrt(110)*-3)\/(6*sqrt(640)*-2*6).\nAnswer: sqrt(11)\/192","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 422*q**2 + 2*q - 1. Let x(k) = 22*k + 36. Let s(y) = -115*y - 189. Let j(c) = -4*s(c) - 21*x(c). Determine j(l(o)).\nAnswer: -844*o**2 - 4*o + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6 + 20)\/((-669)\/1338).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/325360 and 167\/195216?\nAnswer: 976080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ccddhdddjcjccjcjjdd. What is prob of picking 1 j and 3 c?\nAnswer: 25\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {r: 14, h: 2, m: 2, z: 1}. Give prob of sequence hmr.\nAnswer: 28\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y = -26*y + 9 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*d**2*g**3*w**2 + d**2*g**3*w - 11*d**2 + d*g**3*w**2 - 7*d*g**3*w + 2*d*g**2*w**2 - 2*d*g wrt d.\nAnswer: -4*g**3*w**2 + 2*g**3*w - 22","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6229211 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -0.89*-12.9\nAnswer: 11.481","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = -c. Let v(g) = 83*g + 2236 - 4474 + 2240. Determine v(m(k)).\nAnswer: -83*k + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -5*k**3 + 6*k**3 + 2*k**3 + (-k - k**2 + k)*(5 - k - 5) - 4*k**3 + k**3 + k**3 + (-k**3 - 3*k**3 + 3*k**3)*(3 - 3 + 1) - k**3 - k**3 + 4*k**3.\nAnswer: 3*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 5, g: 1, t: 4, v: 3}. Give prob of sequence fv.\nAnswer: 5\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of d**5\/5 + 2*d**4\/3 - 2*d**3\/3 - 4*d**2 - 16*d + 13. Let p(a) be the first derivative of o(a). Solve p(b) = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -62.8 + 63. Let n be (-50)\/114 - 1\/(-3). What is the nearest to w in 2\/7, n, 3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that 5*a**4 + 2830*a**3 - 2855*a**2 - 11320*a + 11340 = 0.\nAnswer: -567, -2, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, k: 2, l: 4, u: 2, v: 7}. Give prob of picking 1 u and 3 k.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 160899850 and 50.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 581 minutes before 6:26 PM?\nAnswer: 8:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -28. List the prime factors of p.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, -7\/3, 2, -0.19, 4\/49, 1\/17 in decreasing order.\nAnswer: 2, 4\/49, 1\/17, -0.19, -2, -7\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 7) + (-95)\/(-19)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g**2. Let w be 48\/(-9) - (-3)\/9. Let k = w - -11. Let f(v) = 5*v - 6*v + k*v. Give f(c(d)).\nAnswer: -10*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 8138.829m in centimeters?\nAnswer: 813882.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 4712679.9 nanoseconds?\nAnswer: 0.00000130907775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fu when two letters picked without replacement from bfwfffqu.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 2 + 2)*(0*f**4 - f**4 - 5*f**4) - 2*f**3 - f**4 + 2*f**3.\nAnswer: -13*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.0119 and -499615.\nAnswer: -5945.4185","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iooaoooioooooaiooa. Give prob of sequence oaa.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -45*q**2 + 13934*q + 376483. What is g(-25)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1736267 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 x when four letters picked without replacement from {x: 8, c: 4, d: 8}.\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -1826 (b) 3 (c) -14 (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201172.3 centuries to years.\nAnswer: 20117230","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -1670*j**4 + 6*j**3 - 2*j**5 + 1752*j**4 - 236*j + 72*j + 0*j**3 - 242*j**2 = 0. What is j?\nAnswer: -1, 0, 2, 41","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -25750*n**2 - 1854*n. Let w(y) = -111*y**2 - 8*y. Let x(b) = 4*h(b) - 927*w(b). Let i(r) = -r. What is x(i(f))?\nAnswer: -103*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2 - -11)*4\/(-6). Let c be (-202)\/s + (-4)\/6. Suppose m - 37 + c = 0. Solve -m*k = -4*q - 36, -2*k + q + 22 = -2*q for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(76) + sqrt(19) + 2 + 1.\nAnswer: 3 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -g**3*h*x + 11*g**3*h + g**3*x + 28*g*x - 7*h*x - 5*h - 13 wrt x.\nAnswer: -g**3*h + g**3 + 28*g - 7*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine d, given that 1\/9*d**3 - 4\/9*d**2 - 5\/9*d + 0 = 0.\nAnswer: -1, 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 - 15*s + 6. Let k(x) = 6*x**2 + 29*x - 11. Suppose -13 = -4*z + 11. Let l(i) = z*k(i) + 11*n(i). Solve l(g) = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2766)\/(-24687) + (-1172)\/11427?\nAnswer: 2\/211","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6 + 14. Let v(s) = 9*s. Let g be v(8). Calculate the greatest common divisor of t and g.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -6, 1, 0.05 in decreasing order.\nAnswer: 1, 0.05, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -21010 + 31?\nAnswer: -20646","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of -2479*k**5\/20 - 145*k**4\/4 - 5*k**2 - 8*k - 30. What is the second derivative of j(p) wrt p?\nAnswer: -14874","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = 20*z + 2. What is w(3)?\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) = b**3 - 16*b**2 - b + 37. Is 49 a factor of s(20)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*f**4 + 0*f**4 + 5*f**4 + (0*f + 0*f - f)*(-137 - 72 - 141)*(-2*f**3 - f**3 + f**3).\nAnswer: -698*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = 2656*t**2 - 11*t - 12. Let c(i) = 2655*i**2 - 10*i - 11. Let p(n) = 7*c(n) - 6*l(n). Let m be p(5). What is m rounded to the nearest 10000?\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c + 1 - 1)*(16*c - 20*c + 51*c) + (-c + 4*c - c)*(-3*c + 0*c + 4*c).\nAnswer: -45*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 396 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 - 3 = a, 3*t + 4*a = 7. Let x be (2\/3)\/(t\/45). Solve -x = -8*c + 5*c - 3*f, 0 = 5*c + f - 22 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1931354373 to the nearest integer?\nAnswer: 43947","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p*p*(((p*p**(-8\/5)\/p)\/p*p*p)\/p)\/p*p*p)\/(p\/(p\/(p\/(p*p*p**21))))*(p*p*p*p*p**(-9\/7))\/p*(p**(1\/24)\/p)\/p)**0 assuming p is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -312*c + 150*c = -151*c. Solve 3*i + p = 17, c*i + 16 = 4*i - 2*p for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1596223 to the nearest 100000.\nAnswer: 1600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/(r\/r**(-2\/5)))\/r)**(-22)\/(r**3)**(-7\/9) assuming r is positive.\nAnswer: r**(497\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-1092)\/(-28) + (-3 - -1). Let x = -35 + b. Solve 4*k - 21 = r, -r - x*k + 1 = -2 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 23, -399?\nAnswer: -399","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(3\/8)*o*(o\/o**18)\/o)**(-9\/2) assuming o is positive.\nAnswer: o**(1197\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -15 in -3, -2\/9, 103?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 2*s - 18. What is the highest common factor of 2 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14706130 to the nearest ten thousand.\nAnswer: -14710000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) be the second derivative of 2*k**3\/3 + k**2\/2 + 14*k. Give b(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*k + 2*k - 4*c - 14 = 0, 3*k - 9 = 5*c. Let f(z) = -4*z**3 + z**2 + 2*z + 1. Let d be f(k). What is the greatest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 948?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22, 0.1, -3, 1, -5\/4 in ascending order.\nAnswer: -22, -3, -5\/4, 0.1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2201222 - -12?\nAnswer: -2201210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -371492 divided by 33772?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-112)\/(-21))\/(2\/12). What is the greatest common factor of 8 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from vjjjjvjjjjjjjvjj.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 5, -0.2, 16, 1, 0.07, 91?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25058 - 25054. Which is the fourth smallest value? (a) -3\/7 (b) -0.0245 (c) o (d) 1\/8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -28 - -35. Suppose -8 + 1 = -w*m. Solve -2*g + 5*d = 2 - 0, d + m = -g for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 683, 641, 599, 557?\n\"Answer: -42*k + 725","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(2\/7))\/(d\/((((d*d\/((d**(-1\/2)*d)\/d))\/d)\/d)\/d)))\/((d\/d**1)\/d**(-1\/5)) assuming d is positive.\nAnswer: d**(-69\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12 - 6*o**2 - o - 43*o**4 + 89*o**4 - 10 + o**3 - 45*o**4 + 1 to n*o**4 + p + y*o + z*o**2 + l*o**3 and give z.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 3 + 5)*(-3 + 2*l + 3)*(8*l - 6*l + 7*l).\nAnswer: 162*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*c - 3*c + 2*c)*(c + 96 - 32 - 64 - c + 3148*c**2) in the form d*c**3 + h*c + r + l*c**2 and give d.\nAnswer: -12592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a*a**(-2\/29)\/a*a*a*a\/a**(-5\/6))**(-3\/11)*(a\/(a\/(a*a**(-8)*a)*a))\/(a\/(a\/a**(-2\/27)))*a**(1\/2)\/(a\/(a\/(a\/a**1*a)*a)) assuming a is positive.\nAnswer: a**(-64189\/8613)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(3\/14))**(-15)\/(p**(1\/34)*p**(1\/8)) assuming p is positive.\nAnswer: p**(-3207\/952)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -4 - 1 - -8 - 11 - -5?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.33 - 0.17. Let f(l) = l**2 + 8*l + 6. Let p be f(-8). Let h = -3 + p. Which is the biggest value? (a) u (b) 4 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 a factor of 29490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -4 (b) 4 (c) 40 (d) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -43337162*b**4 + 399*b**2 - b - 58896?\nAnswer: -1040091888*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 10058*y**4 - 10214.\nAnswer: 40232*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22791?\nAnswer: 3, 71, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/18*3*2?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g - 3. Let y(s) be the second derivative of -s**3\/2 + s**2 - 6*s. Let m(i) = 2*r(i) + 3*y(i). Let u(q) = 6*q - 1. Determine 5*m(h) + u(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iigiiig. What is prob of sequence igi?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + 2 + (-1*(-1*sqrt(320))**2 - -5*(sqrt(605) + -2 - sqrt(605))**2).\nAnswer: -303","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 48 (b) -0.0866 (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:34 PM and 10:55 PM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 8261791?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -32517051 and -2?\nAnswer: 65034102","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -11351\/9 + 1261. Which is smaller: -69 or i?\nAnswer: -69","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3108 divided by 2.\nAnswer: -1554","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1024 + -1?\nAnswer: -1025","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = -10*r. Let w(j) be the first derivative of j**2\/2 - 7. Let c(u) = -4*u. Let o(s) = -c(s) - 5*w(s). What is o(p(z))?\nAnswer: 10*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:25 AM and 9:42 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 93896, 92599, 91310, 90035, 88780, 87551?\nAnswer: 86354","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (10\/280)\/(2\/(-612)).\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 14189932?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express -1093*i**2 - i**4 + 1094*i**2 - 6*i + 4*i + 292 in the form u*i**3 + c*i**2 + h*i + s + d*i**4 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1634 and 172.\nAnswer: 86","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = -u**3 - 6*u**2 + 6*u - 1. Let z be k(-7). Suppose 4*l = -186 + 190. Let y(h) = 2*h**3 - 2 - 3*h + l - 1 + 10*h - h**3 - 7*h**2. Determine y(z).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 1\/10 of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 8929982\nAnswer: 26789946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) be the third derivative of 0 + 1\/90*i**5 + 14*i**2 + 0*i + 1\/45*i**6 - 4\/9*i**4 - 4\/9*i**3. Solve l(g) = 0 for g.\nAnswer: -2, -1\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 25362?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are -314 and 9426 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 18*p + p**3 - 46*p + 4 + 3 + 23*p + 6*p**2. What are the prime factors of b(-6)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the third derivative of -5*n**4\/8 - n**2. Let p(v) be the third derivative of v**4\/24 + v**2 + 132. Calculate a(p(b)).\nAnswer: -15*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 81214 - 170214. Round b to the nearest ten thousand.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(2\/(7*(-36)\/(-63))).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -5285, -10514, -15745, -20978, -26213?\n\"Answer: -t**2 - 5226*t - 58","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*z**3 + 68*z**4 - 15 + 5*z**3 + 64*z**4 - 134*z**4 to o*z + a*z**4 + d + s*z**2 + t*z**3 and give t.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:53 AM and 11:18 AM?\nAnswer: 445","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -418 - -435. Suppose 4*i = y*b - 12*b + 11, 4*i = b + 15. Solve i*n + 0*x - 5*x + 28 = 0, 2*n + 16 = 3*x for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 35\/418 and 40\/11.\nAnswer: 418","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -7, 2, 818 in decreasing order.\nAnswer: 818, 2, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8 - 16*t + 3 + 4*t. Is u(-6) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1296) + sqrt(1296)*4)\/(-6*sqrt(108)\/sqrt(9) - sqrt(12)).\nAnswer: -30*sqrt(3)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 70932?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -25158.6 + 25159. Which is the fifth biggest value? (a) 25 (b) g (c) -3 (d) -4 (e) 5\/4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 6:31 PM?\nAnswer: 12:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = -2*g - 2*q - 15, 0 = -4*g + 4*q + 16. What are the prime factors of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1164? (a) 0.8 (b) -5 (c) -0.1 (d) 0.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the third derivative of k**10\/100800 - k**9\/40320 + 11*k**5\/20 + k**3\/2 + 18*k**2. Let s(h) be the third derivative of g(h). What is u in s(u) = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -5 + 7. Let i(s) = -3*s**y + 10*s**2 + 14*s - 14*s. Let o(c) = -2*c**2. Calculate i(o(l)).\nAnswer: 28*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 17521 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/21 in -0.7, 2\/5, -9, -1?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4*o**2 + 2*o**2 + 9)*(0*o + 0*o - 2*o**2) + o**4 + 0*o**4 + 2*o**4.\nAnswer: 7*o**4 - 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -54 + 0*f**4 - 5*f**4 + 2*f**2 - 3*f**2 + f**4 to n*f**2 + o*f + b + r*f**3 + h*f**4 and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -28, -76 in increasing order.\nAnswer: -76, -28, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 248.\nAnswer: 1\/248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 69 + -67.95. Which is greater: 0 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 24 and 552.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -41956 divided by -2126.\nAnswer: 20978\/1063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -3841 - -3841. Let z be (-4)\/(-10) + (-133)\/(-5). Solve 5*f = -4*t - 0*t + z, w = -t + f for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10952 - 10951. Which is the biggest value? (a) -6.3 (b) 0.15 (c) -0.3 (d) g\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -k**3 - 7*k**2 + 10. Determine w(-6).\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 31781256 to the nearest integer?\nAnswer: 317","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -47\/11854 and 55\/126.\nAnswer: 746802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -4767 + 2388 - 2*c + 2383. What is f(13)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -17*u. Let t(y) = -y. Let l(a) = o(a) + 4*t(a). Let h(m) = m. What is l(h(w))?\nAnswer: -21*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 16, 93, 222, 403?\nAnswer: 636","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -360 + 369. Let w = u + -10. Which is greater: -158 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(44)\/sqrt(324) + 5.\nAnswer: sqrt(11)\/9 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**4\/3 + 4267*l**3\/3 - 1422*l**2.\nAnswer: -l**2*(l - 4266)*(l - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 337 minutes after 11:52 AM?\nAnswer: 5:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 384*o**2 + 2*o - 7. Let r(y) = 193*y**2 + y - 3. Give -4*m(i) + 9*r(i).\nAnswer: 201*i**2 + i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3*(-2)\/(-8)*-2. Let q = 0.06 + 1.94. Suppose 54 = 22*k - 5*v, -4*k + 2*v - 2 = 7*v. Which is the closest to k? (a) -4 (b) q (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6775*j - 2529. List the prime factors of k(5).\nAnswer: 2, 7, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 <= -199764946?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find d, given that -4*d**5 + 44*d**4 - 96*d**3 - 176*d**2 + 448*d = 0.\nAnswer: -2, 0, 2, 4, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (147*v + 17*v**4 - 147*v)*(1 + 0 + 0) + (-4*v**2 + v**2 + 5*v**2)*(2*v**2 + 0*v**2 - 4*v**2).\nAnswer: 13*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (17\/51)\/((-2)\/30) + 49. Suppose 19*q - k = -6. Solve -2*t - q*b - 16 = 2*b, -2*t + b = -9 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -2*k**3 - k**2 - k - 2. Let j = 92 + -94. Let w be m(j). Suppose -w = -t - 9. Solve 0*v - 2 = -u - v, -4*v = -t*u - 8 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y = -5*r + 20 - 11, 76*r + 9 = 3*y + 73*r for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00178688 to four decimal places.\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -50\/2549 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -13831 rounded to the nearest 100?\nAnswer: -13800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2 is divided by -1 + -1 + 0 + (-12)\/(-4)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 13*d + 118. What is the units digit of b(-7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -2*r - 3*m, 0 = -0*r + 4*r + m - 13. Suppose 4*c - 28 = -4*y, 4*c - y - 23 = -0*c. Calculate the greatest common divisor of r and c.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.38 and 0.4.\nAnswer: -0.152","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 535140508?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 163, 0 in decreasing order.\nAnswer: 163, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) be the second derivative of -g**3\/2 + 3*g**2\/2 - 5*g. Let a(j) = -j + 1. Let k(q) = 5*q - 4. Let o(l) = a(l) - k(l). Determine 3*o(n) - 5*w(n).\nAnswer: -3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xvwdvvivdvidivdvdvd. What is prob of sequence idx?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 4*n = -53 + 41, 5*r + 11*n = 86 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -657, -1280, -1785, -2100, -2153?\n\"Answer: 12*l**3 - 13*l**2 - 668*l + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5+2207\nAnswer: 2202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -13 + 18. Let w be (i*-2)\/(-2) + -2. Let j = 3 - w. Is j greater than 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29836 is divided by 9939?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -222 + 222. Suppose d = -w - 417 + 5774. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -28, 3, -5, -3, 4, 0, -18.\nAnswer: -28, -18, -5, -3, 0, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a and 1 v when four letters picked without replacement from {v: 1, y: 7, a: 5, c: 5}?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 2.06044 millilitres?\nAnswer: 0.00206044","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4*3\/(-36) - 10\/(-3). Suppose 2*l = -r*a + 970, -a - 2264 = -4*l - 352. What is the remainder when l is divided by 60?\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4220603, -16882390, -37985369, -67529540, -105514903, -151941458, -206809205?\nAnswer: -270118144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/7, -1, -2\/125, -0.2 in descending order.\nAnswer: -2\/125, -0.2, -4\/7, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 18 = 5*g, 4*z - 2*g = -0*g + 18. Let u(a) = -11*a + z*a + 2*a - 3*a - 4 + a**2. What is u(9)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - (0 + 18)) + -27 + 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 11*h**3\/3 + 5. Let b(k) = 10*k**2. Let w(a) = -6*b(a) + 5*j(a). Let t(g) = 2*g**2. Give t(w(y)).\nAnswer: 50*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = 35*a - 12. Let q(c) = -385*c + 133. Let o(n) = 5*q(n) + 56*w(n). Let t be o(4). What is the highest common divisor of t and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5*sqrt(54)*-5)\/(sqrt(108)\/sqrt(4) + sqrt(96)\/sqrt(2) + sqrt(3) + sqrt(3)).\nAnswer: 25*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**(-5))\/(v*v**(2\/19))*(((v*v**(2\/17)\/v)\/v)\/v)\/(v**11*v) assuming v is positive.\nAnswer: v**(-5810\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1721 is divided by 551.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 47303 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2659837 by -1.\nAnswer: 2659837","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 30, 77, 204, 399, 650, 945, 1272?\n\"Answer: -2*y**3 + 52*y**2 - 95*y + 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 6872800 rounded to the nearest one million?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 h, and 2 p when four letters picked without replacement from {y: 2, f: 1, h: 1, q: 5, p: 7}.\nAnswer: 3\/130","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 2 - 2*j)*((-1 - j + 1)*(1 + 3 - 5) + 0*j - 4*j + 5*j - 8*j + 3*j - 4*j).\nAnswer: 14*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 15 = 2*a. Let b = -29 - -34. Let y be (b + (-3)\/1)*2. Put y, a, 2 in decreasing order.\nAnswer: a, y, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -s**3 + 7*s**2 + 6*s - 10. Let b be w(7). What is the highest common factor of b and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -5, -4, 23, 4, -14.\nAnswer: -14, -5, -4, 0, 4, 23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5312, 20986, 47082, 83600, 130540?\nAnswer: 187902","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -z - 42. Let p(l) = l + 45. Give 6*c(t) + 5*p(t).\nAnswer: -t - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 3) to base 4.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the second derivative of 3*v**8\/28 - v**5\/20 - 7*v**4\/2 + 2*v - 94. What is the third derivative of l(f) wrt f?\nAnswer: 720*f**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8210 = -7*c - 1931. Is 39 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 507802, 1015608, 1523414?\nAnswer: 2031220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -88022676 by 1988.\nAnswer: -44277","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -395, -869, -1449, -2135, -2927?\n\"Answer: -53*l**2 - 315*l - 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 177659*f - 6 + 7 + 8 - 9.\nAnswer: 177659*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t**3 + 58832*t**2 + 51263830*t + 51204996 = 0 for t.\nAnswer: -846, -1, 30263","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k**(6\/11)\/k)*k\/(((k*k**3)\/k*k*k)\/k) assuming k is positive.\nAnswer: k**(-17\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -18 in -6, -106, -2\/9?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3672662 is divided by 734306.\nAnswer: 1132","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (40\/15)\/(((-136)\/(-6))\/4). Which is smaller: k or 1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*z + 9459 + 2139. List the prime factors of z.\nAnswer: 2, 1933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12180 to the power of 1\/2, to the nearest integer?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 117, 166, 259, 408, 625, 922?\nAnswer: 1311","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - 7. What is the closest to -2 in -1\/4, k, 0.1?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4*p*p)\/p**(-1))\/(p**1)**26*(p**4*(p\/(p*p**(-2\/7)*p))\/p)**(-1\/3) assuming p is positive.\nAnswer: p**(-415\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(112) - 4*(-2*sqrt(112) - sqrt(112)))\/sqrt(8))\/(-1*(sqrt(112)*-2 - sqrt(112))) + 5 + -4)**2.\nAnswer: 13*sqrt(2)\/6 + 241\/72","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 1003*k**3 + 380*k**3 - 603*k**3 + (4*k**3 - 4*k**3 - 2*k**3)*(5 - 4 - 3) - k**3 - 9*k + 6*k + 2*k**3.\nAnswer: 785*k**3 - 3*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 11 a factor of 5383?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-1)*3\/(-27).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1852 = 125*c - 328*c - 260*c for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -888, -919, -950, -981, -1012?\n\"Answer: -31*y - 857","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/2 of a microgram in nanograms?\nAnswer: 8500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 177 a factor of 202981?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r - 17 = -3*w, 7 = r - 3*r + w. Which is the nearest to 1? (a) 3 (b) 1\/10 (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 + 3156\nAnswer: 3143","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -8 - -2. Let b(o) = -2*o + 8. Let t be b(k). Suppose 2*l = -a + 13, -t = -5*a - 5. Solve 2*s = l*s - 3 for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*u - 4*u + 16*u**2 + 11*u**2.\nAnswer: 27*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Are -373286 and -7092417\/19 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -13 - -18. Let t(g) = -3*g**3 - g**2 + g + 2. Let d(r) = -13*r**3 + 11*r + 3. Let q(c) = d(c) - 4*t(c). What is q(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**6\/60 + t**5\/60 - 3*t**4\/4 - 2*t**3\/3 + 11*t**2. Let p be y(-12). Suppose 0 = -2*u - 2*u + p. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -12? (a) -139 (b) 5 (c) 0.3 (d) -0.1 (e) -0.0266\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446596 to the power of 1\/6, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3371*q - 1798 = -3001*q + 4574 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = 73*o - 31. Let c be y(-5). Let m = -267 - c. Does 5 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31945932?\nAnswer: 2, 3, 887387","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = r**3 - 3*r. Let l be (-4)\/(-28) + (-20)\/(-7). Let q be l\/(-6) + 21\/6. Let d(g) = 13*g - 6*g**3 + g + 2*g**3 + 0*g. Calculate q*d(x) + 14*c(x).\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j + 7*j = -2*h - 6, 4*h - j + 12 = 0 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2044508508761 and -44?\nAnswer: 2044508508717","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 0.0028?\nAnswer: 9.0028","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = r**3 - 30*r**2 - 58*r - 33. Let c be d(34). What is the highest common factor of c and 216?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 480 minutes after 11:35 AM?\nAnswer: 7:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -611*m = -612*m + 63*d - 309, 4*m = d + 19 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -226*b**2 - 363*b wrt b.\nAnswer: -452","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 36 - (43 + -23 + 22).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1485143 to the power of 1\/7, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 - 8 = 3*y. Let d = 3 - -23. Let c = 29 - d. Sort 0.09, y, c in ascending order.\nAnswer: y, 0.09, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 543 = 161. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) be the second derivative of p**5\/2 + p**4\/2 - 2*p**3\/3 - 6*p. Factor j(v).\nAnswer: 2*v*(v + 1)*(5*v - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1558 = -26*b + 4136. Suppose -4*h = -675 + b. What is the greatest common divisor of 12 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2044471, -4088955, -6133439, -8177923, -10222407, -12266891?\n\"Answer: -2044484*n + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 35 - 51 - -7 - (1 - -17).\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 161 - -22. Let z be 428\/(-14)*-6 - 0. Let l = m - z. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = -v. Let i(t) = -t**2 + 18. What is i(l(w))?\nAnswer: -w**2 + 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -19 + -8.1. Let f = 27.3 + n. Which is the nearest to f? (a) 1\/3 (b) -0.2 (c) -1.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2306 - 381. Let d = 3833 + p. What are the prime factors of d?\nAnswer: 2, 3, 191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1117 or 23?\nAnswer: 1117","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*f - 2*t + 14, -t = -2*f + 5 - 6. Let v(c) = 2*c**3 - 1. Let y be v(-1). Sort y, -4, f in decreasing order.\nAnswer: f, y, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 - 11 - (-4 - -1)) + 2\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 + -3 - (-526)\/2. Suppose -q = -6*o - 43. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-3)\/(-4 + 7) - 22. Let p = -20 - x. Solve -2*y = f + 4, -p*y + 5*f + 6 + 14 = 0 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -165*q - 130*m = -169*q - 126*m - 64, 2*q + 14 = -4*m for q.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w**(2\/9)\/w**3)\/(w**(2\/9)*w**(-2\/3))*((w**(2\/7))**(-3))**(-8) assuming w is positive.\nAnswer: w**(95\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -70*c + 16 = -68*c for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 32 >= 0.442092?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 5*u - 20. Suppose 10 = -u*i + 30. Suppose 5*a + 0*a + z = 105, -i*z = -4*a + 84. Does 21 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2.444 times 0.5\nAnswer: 1.222","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 15 - 9. Calculate the highest common factor of 24 and p.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -374, -362, -344, -320, -290, -254, -212?\nAnswer: -164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-5*(0 - -1) + 7968\/1584)*(-1224)\/68\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l, 1 k, and 1 x when three letters picked without replacement from {y: 1, c: 1, l: 2, t: 1, x: 2, k: 1}?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 210 and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 4285 and 25.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3 + 2 + (37 - 3). Let z = 44 - r. Solve -t + z*n - 21 = 0, -2*n - 2 = -10 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(2 - 4 + 1 + (0 + 3 - 4)*(0 + 0 + 2) + 3 + 1 - 2 + 0 - 2 - 1)*(-508*c - 228 + 63 + 515*c).\nAnswer: 28*c - 660","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 55\/3 and -56\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1\/83 - 173\/581. Let t = 20 - 20. Which is bigger: t or x?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y*y**2\/y*y)**(-3\/8))**(-4\/3)\/((y**(-2\/7))**(-1\/49)\/(y**0)**(-11)) assuming y is positive.\nAnswer: y**(684\/343)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1883 + -3173. Calculate the common denominator of 39\/2 and 3\/(-8)*q\/(-135).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -340*k + 107*k + 114*k + 145*k.\nAnswer: 26*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (1\/(-2))\/((-14)\/140). Suppose -312 = s*b - 72. Let q = b + 81. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24*434\/(-1674)*18.\nAnswer: -112","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (-1 + -2 - -6).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6187732.\nAnswer: 2, 37, 41809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 14887695787 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -2*i**3 - 9*i**2 - 6*i + 12. Let g be 10\/(-4)*(-896)\/(-448). Give j(g).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -19596*x*y**2 + 17*x*y + 21*x + 45043627*y**2 wrt x.\nAnswer: -19596*y**2 + 17*y + 21","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 12 = -x, 5*b - 2*x = 3*b + 10. Suppose -113*r + 243 + 96 = 0. Solve -3*w = 2*v + 11, 0*w + b = 2*v - r*w for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-4)\/3 + 424\/12. Let j = h + -22. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/275602 or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 7 - -33. Let b = 5 - -55. Calculate the highest common divisor of b and o.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide -11*(-69)\/21 + 2\/(-14)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k, 1 q, and 1 a when four letters picked without replacement from {q: 1, a: 2, k: 5, b: 11}?\nAnswer: 5\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -16*l + 9. Let b(z) = z**2 - 33*z + 235. Let o be b(10). Calculate w(o).\nAnswer: -71","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 13 - 9. Suppose x - 4*c = 28 - 10, 0 = 4*x + c - d. Suppose -3*b = x*b. Solve -l = -5 - b for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 36\/11 - 3*u - 1\/11*u**3 + 10\/11*u**2.\nAnswer: -(u - 4)*(u - 3)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = f + 53. What is s(-21)?\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 3, -1, 7.5, 81 in descending order.\nAnswer: 81, 7.5, 3, 1, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -24491858 or -24491857?\nAnswer: -24491858","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand -13*r**5 - 9*r**2 + 9*r**2 - r**5 - 2*r**5 + r**5 + 2*r - 2*r - 2*r**5 + (3*r**4 + 0*r**4 - r**4)*(-1 - 4*r + 1).\nAnswer: -25*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r - 4*l - 42 = l, 5*l - 5 = 0. What are the prime factors of r?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-7)*o**(1\/3)*(o\/o**(-2))\/o**(13\/3) assuming o is positive.\nAnswer: o**(-8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 6480511?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((130\/(-20))\/13)\/((-1)\/1).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine l, given that -4*l**4 - 203124*l**3 - 2578608388*l**2 + 2579217780*l + 5157623048 = 0.\nAnswer: -25391, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put -317, 5, -2, 36, 3, 1 in decreasing order.\nAnswer: 36, 5, 3, 1, -2, -317","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 5001?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85550 = -19*f - 20665. What are the prime factors of f?\nAnswer: 5, 683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (83 - 83 + 11*m)*(54*m**3 - 668*m**2 + 668*m**2)*(3*m + m + m).\nAnswer: 2970*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**2 + 84376*a - 1779827344.\nAnswer: -(a - 42188)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-4\/3))**22 assuming c is positive.\nAnswer: c**(-88\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 + 7 = 4*b - 3*u, -4*b = u - 12. Suppose -n - b*n = 5*t - 279, -2*n = -3*t - 145. Let r = n + -50. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 18 + 4)*(39 - 55*j - 39) in the form v + x*j and give x.\nAnswer: -1045","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**(-1\/7)*q)\/((q\/q**(-1\/17))\/q)*(q**(-1\/4)*q)\/((q\/(q\/(q**(-1)\/q*q*q)))\/q))**(-30) assuming q is positive.\nAnswer: q**(-18195\/238)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ev when two letters picked without replacement from eeeeeeeeeeeeveevee.\nAnswer: 16\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) be the second derivative of x**7\/840 - 14*x**4\/3 + 2*x + 18. Let i(w) be the third derivative of q(w). Let s(a) = 38*a**2. Calculate s(i(v)).\nAnswer: 342*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 104, 425, 962, 1715, 2684, 3869, 5270?\nAnswer: 6887","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 32 and 48?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 81583*d**3 - 137209*d**3 + 55623*d**3.\nAnswer: -3*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32563?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36*a + 44*a = 200. Is 14 a factor of (340\/a + 2 - -3)*5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -150*s**3 - 2*s**2 + s + 2. Is g(-1) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 111\/(-74)*(-3098)\/3 is divided by 504?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(1\/5)\/(p**(-4)*p) assuming p is positive.\nAnswer: p**(16\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2463 is divided by 59.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.01, 6, 17\/3, -3?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 587944+0.2\nAnswer: 587944.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/47 (b) 0 (c) -0.12 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -79.9 + 80. Let y = -4.86 + 4.76. Put 5, x, y in decreasing order.\nAnswer: 5, x, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 39*c**2 - 290*c**2 - 252*c**2 as q*c + v*c**2 + t and give v.\nAnswer: -503","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 478760716 to the power of 1\/10, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 158 is divided by 86.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -3, 0, -2\/221, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-26)\/(-7) - -1 - 24\/(-84). Solve v*y + 5 = -0*y for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 444 = -0*o - 2*o, 3*o - 5*f = 628. Suppose o = r - 5*r. Let t = 73 + r. Solve 0 = -5*d - 5*n - 15, 3*d - t + 4 = 5*n for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -64\/35679 and -23\/18.\nAnswer: 214074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3\/7*j**4 + 0*j + 0 + 0*j**3 - 3\/7*j**2.\nAnswer: 3*j**2*(j - 1)*(j + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2*j - 131*i**2 - 9*i*j + 57*j + 1274 wrt i.\nAnswer: -4*i*j - 262*i - 9*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (8\/10)\/((-48)\/(-120)). Solve s*b - 6*b + 20 = 0 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 4*r. Let y(b) = 28*b + 28*b - 114*b + 48*b - 6. Give y(u(t)).\nAnswer: -40*t - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*f**4\/7 - 18*f**3\/7 - 27*f**2\/7 + 162*f\/7.\nAnswer: 3*f*(f - 6)*(f - 3)*(f + 3)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 6, i: 4, x: 3}. Give prob of picking 2 m and 1 x.\nAnswer: 45\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -10, 5, 2, 22.262 in increasing order.\nAnswer: -10, -0.1, 2, 5, 22.262","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 988 = 124. Suppose -13*w + 2083 + 387 = 0. Let f = 194 - w. What is the least common multiple of s and f?\nAnswer: 556","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 1\/635 (b) 39 (c) -2.4 (d) -11\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 3*s - 771025 = 0, x + 5*s = 497833 - 112303. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 1 i when two letters picked without replacement from {o: 3, n: 1, v: 5, m: 1, f: 1, i: 2}.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 220\/11*8\/(192\/30)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 334.5705 litres in millilitres?\nAnswer: 334570.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82521.32 days in weeks?\nAnswer: 11788.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30174 - -30179. Solve -4*m - 8 = m + r, 2*m + r = -w for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z - 106 - 89. Is 22 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -6 - -1304432126?\nAnswer: 1304432120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1514*n**3 + 624*n**3 + 366*n**3.\nAnswer: 2504*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -5*s + 13*u - 18*u + 15, 4*u = -5*s + 17 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-28)\/(-6))\/(-2 - (-20)\/12). Round x to the nearest 10.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 3*s - 2*s. Suppose -s*v - 11 = 3. Let t = 727 - 729. What is the nearest to v in 0.4, t, 0.5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4930 is divided by 233?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + 0 - 3*t - 3)*(105 - 105 + 5*t) + 0 - t**2 + 0 + (-2*t + 3*t + t)*(-t - 3*t + 2*t).\nAnswer: -20*t**2 - 10*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the third derivative of 23*b**5\/60 - b**3 + 43*b**2. Let n be d(-2). Suppose -2*h + n = -50. What are the prime factors of h?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + 5 + ((sqrt(425)*-2 + 2 + sqrt(425))**2 - (sqrt(425) - (6*(-1*sqrt(425) + sqrt(425)))**2)).\nAnswer: -25*sqrt(17) + 431","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -511170 divided by -170390.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 1934 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 789 plus 780196?\nAnswer: 780985","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2\/13*x**2 - 14\/13*x**3 - 8\/13 + 16\/13*x + 10\/13*x**4 - 2\/13*x**5 = 0 for x.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x**(-37)\/x)\/(x\/x**40))**42)**(33\/2) assuming x is positive.\nAnswer: x**693","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 331 + -3307\/10. Which is bigger: 0 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 102032, 2\/15, -5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(65)\/(-3*(sqrt(5) - sqrt(45))))**2 - (sqrt(156)\/(sqrt(192) + sqrt(12)) - sqrt(26)\/sqrt(2)*-6).\nAnswer: -31*sqrt(13)\/5 + 13\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 h, 1 u, and 1 p when three letters picked without replacement from {p: 9, v: 5, u: 1, h: 3}.\nAnswer: 9\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2046 + -2045. Let u be 9\/66*(-3 + 1). Let a = -23\/44 - u. Put a, g, 4 in ascending order.\nAnswer: a, g, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -54225, -107571, -160927, -214299, -267693?\n\"Answer: -f**3 + f**2 - 53342*f - 883","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of -h**5\/20 + 5*h**4\/12 - h**3\/6 + 2*h**2 + 3*h. Let r be v(5). Is r at least -3\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 340 to the power of 1\/2, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -10495 * -5\nAnswer: 52475","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round 4460469.2 to the nearest ten thousand.\nAnswer: 4460000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from srsrnenmseprmmns. Give prob of picking 1 p and 3 s.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (126\/28 + (-119)\/30)*-5*1?\nAnswer: -8\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1.73 + -1.27. Put 59, q, -1\/5, 0.3 in decreasing order.\nAnswer: 59, 0.3, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 856*l + 22 = 858*l - 4*u, -4*l + 14 = 2*u for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*c + 2*d = 69*c - 14, 5*c - d + 28 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -111, 0.3, 664, -1, -0.4, 0.5?\nAnswer: 664","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -89*b + 83*b + 9 = -5*n, -2*b = n + 5 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*q + 3*q - 3*q)*(3 - 3 + 2*q) - 45325 + 29*q**2 - 27*q**2 + 45324 + 397*q + (-q - 1 + 1)*(4 - 2*q - 4) to the form r*q**2 + t + s*q and give s.\nAnswer: 397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = -2*r. Suppose 3*f + f - 8 = r. Suppose 2*c - c = 2*p - 6, f*p - 2*c - 6 = 0. Put -5, 0, p in descending order.\nAnswer: p, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = n**3 + n**2 - n + 16. Let g be p(0). Let s(y) = -18*y + 41*y - 10 + 17*y**2 + 3*y**3 + 2. Let z be s(g). Round z to the nearest 100000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 897192 + -897181.554025. Let x = c - 4.4459. Let z = 6 - x. Round z to five dps.\nAnswer: -0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m. Let n be f(2). Let j(o) = 3*o - 2. Let x(s) = -s. Calculate n*x(t) + j(t).\nAnswer: t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -172.5*-104\nAnswer: 17940","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 divided by -9\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*s + s - 3*s)*(-1 + 2 - 2) + 456*s - 15 + 47 - 32.\nAnswer: 454*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -31*d + 35*d - 152. Solve -42*j + d*j - 4 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3.97 - 0.03. Let k = 0.1 + 0.4. Let j = k - 0.7. Sort r, -1\/2, j.\nAnswer: r, -1\/2, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n**2\/2 + 40535*n + 1643086225\/2 = 0. Calculate n.\nAnswer: -40535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 2 + -1.7. Let q be (-2 - 7900\/(-3945))\/(2\/3). Let v = q + 503\/6049. Put v, m, -1\/5 in increasing order.\nAnswer: -1\/5, v, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = -q**3 + 28*q**2 - 29*q + 40. Give n(27).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 4*p + 30. Let s be r(-7). Let b(w) = 7*w + 6. Let m be b(s). Solve 5*c + 3*q - 2 = 0, -q + m = 4*q for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -2*o**3 + 2 - o**2 - o + 3 + 3*o. Let l(b) = 3*b**3 + b**2 - 2*b - 4. Let x(h) = -3*l(h) - 2*q(h). Let d be x(-1). Put 1, -5, d in decreasing order.\nAnswer: d, 1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-1)\/(-5) + 1990\/50. Suppose -2*k = -v + m, 4 = k + k. Suppose -v + 36 = -p. Solve p = 5*q - 7 for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 327?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = u**3 - 6*u**2 + 5*u + 2. Let g be i(5). Suppose -g*q + 2 - 4 = 0. Let a = -5\/9 - -49\/72. Which is smaller: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 25*i + 26 - i - 26. Let m be 290*(-1)\/((-10)\/4). Let s(q) = q**2 - m + 116. Determine s(a(x)).\nAnswer: 576*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 9 = -1. Let r(a) = 4*a**2 + 5*a - 13. Is 10 a factor of r(x)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(495)*1 + sqrt(495))\/sqrt(9))\/((sqrt(11) - sqrt(275)*2) + sqrt(22)\/sqrt(32)).\nAnswer: 8*sqrt(5)\/35","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 256*b - 159*b - 129*b - 640 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-1*sqrt(275) + -5 + 1))**2.\nAnswer: 1440*sqrt(11) + 10476","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-nine fifths of a litre in millilitres?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2592 a factor of 2073288015?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 8*v - 176*v**2 + 8 + 4*v**3 + 176*v**2. What is the derivative of q(r) wrt r?\nAnswer: 24*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -q**3 - 4*q**2 + 4*q**2 + 3*q**3 - 3*q**3 - 2*q**3 + 3*q**3 - 3*q**3 - 2*q**3 + (-5 + 4 + 2)*(3*q**3 + q**3 + 4*q**3).\nAnswer: 3*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (1048 - 1048)\/(2*(-3)\/3). Factor b*k + 2\/5 - 2\/5*k**2.\nAnswer: -2*(k - 1)*(k + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = 25*g**3 - 2*g + 1. Suppose -3*c = 3, 11*s - 6*s - 4*c = 9. What is the remainder when y(s) is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (sqrt(847)*-2*1 + sqrt(847) + sqrt(847) - (sqrt(847) + (sqrt(847) - (0 + sqrt(847)))*-6)**2) + -1 + 5).\nAnswer: -5052","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 5, o: 8}. Give prob of sequence oao.\nAnswer: 70\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -181\/4 - -881\/20. What is the smallest value in 4\/7, 0.4, 3, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 + 1256*f**3 + 12*f**2 - 12*f**2 + 6 - 8.\nAnswer: 1256*f**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*s - q - 5147 = -5142, 2*q + 8 = -5*s - 6 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -34, -37, -40, -43?\n\"Answer: -3*o - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -b (base 14) in base 3?\nAnswer: -102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 51279014?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*o**2 + 2240*o\/3 - 1496\/3.\nAnswer: 2*(o + 374)*(3*o - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.4 (b) -2.4 (c) -5881 (d) 2\/3 (e) 7 (f) 4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the first derivative of -n**4\/6 - n**3\/2 + 3*n - 8. Let q(b) be the first derivative of k(b). What is the second derivative of q(v) wrt v?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q + u - 45 = -199, 3*u = -6. Let o be (-6)\/(-33) + q\/(-33). Let p = -21.15 - -25.15. Which is the second smallest value? (a) p (b) o (c) 26\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, a: 1, z: 2, e: 13}. Give prob of sequence ey.\nAnswer: 13\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 5*b**3 + b**2 - 2*b + 1. Let k be n(1). Let o(i) = 146*i - 12551. Let w be o(86). Suppose 10 = 3*p - p. Solve -w = p*a + k for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9a05 (base 13) to base 2\nAnswer: 101001111011100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 52 - 69.5. Let j = l + 17.99. Round j to 1 decimal place.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 558*y - 27 + 5.\nAnswer: -558*y - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-2 - -5)) + 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 24, 29, 48, 87, 152, 249, 384?\n\"Answer: j**3 + j**2 - 5*j + 27","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t - 3*a = -21, 0 = 2*t - 3*t - 5*a + 19. Suppose -t*w + 5*w = -d + 4, -2*w = -d - 8. Find s such that -2 + 1\/2*s**w + 2*s**3 + 3\/2*s**2 - 2*s = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -28*z**2 + 1435 + 1650 - 3111 to t*z + m*z**2 + f and give f.\nAnswer: -26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 51821 is divided by 25899.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 406 - 421. Let k be (-8 - z) + -6 - 1\/(-2). Which is the closest to 0.1? (a) -0.3 (b) 3\/8 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 627752 and 3.\nAnswer: 1883256","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4210861230.\nAnswer: 2, 3, 5, 46787347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) be the third derivative of 2*r + 1\/600*r**5 + 0 - 4*r**2 + 13\/240*r**4 + 0*r**3. Determine s, given that i(s) = 0.\nAnswer: -13, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0598 rounded to 2 decimal places?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -28, -94, -220, -430, -748?\n\"Answer: -4*g**3 - 6*g**2 - 20*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16\/11*x**2 + 2\/11*x + 2\/11*x**3 + 84\/11.\nAnswer: 2*(x - 7)*(x - 3)*(x + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 474 minutes before 6:31 PM?\nAnswer: 10:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) = k**2 - 2*k - 4. Let m be p(-2). Let l(i) = i**3 + i**2 + i - 1. Let h(w) = -4*w**2 - 4*w + 3. Give m*l(c) + h(c).\nAnswer: 4*c**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = c**2 - 14*c - 23. Let j be k(13). Suppose -4*o = -3*g - 2*o - 59, -97 = 5*g - 4*o. Let r = g - j. List the prime factors of r.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 134*t**2\/3 + 570*t + 1308.\nAnswer: 2*(t + 3)*(67*t + 654)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -3007*p - 6350 wrt p?\nAnswer: -3007","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = 458*h. Let o(j) = 372*j**2. What is x(o(p))?\nAnswer: 170376*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = -n**2 + 3*n. Let s(x) = -2*x**2 + 4*x. Let h(a) = 3*s(a) - 4*w(a). Let q(l) be the second derivative of -l**3\/2 - 2*l. Calculate q(h(r)).\nAnswer: 6*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 12096 and 1736.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Add -5 and 35.1907063.\nAnswer: 30.1907063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w - 2 = 7*w + 3*y, 2*y + 4 = 0. Suppose 0 = -4*h - c + 2154, 0 = w*h - 3*h + c + 541. List the prime factors of h.\nAnswer: 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 17636, 3\/7, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-44778)\/(-714) - 63)\/((-13)\/35)?\nAnswer: 10\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 35*810\/1575 - (2 + -3)\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = 8*u**3 - 14*u - 2. Let a(j) = j**4 - 7*j**3 - j**2 + 16*j + 3. Let t(f) = -2*a(f) - 3*i(f). What is m in t(m) = 0?\nAnswer: -5, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hhmh when four letters picked without replacement from mmhmmmmmmmhmmhmhmm.\nAnswer: 7\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 9729 - 9699.391. What is u rounded to one dp?\nAnswer: 29.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -17*i + 21*i + 62*i + 56*i + 15.\nAnswer: 122*i + 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 165506551?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001512408 to four decimal places.\nAnswer: -0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -0.07344 + 0.14644. Which is greater: r or -18?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 28559*k*v**2 - 157*k*v + 4*k + 59988486*v**2 wrt k.\nAnswer: 28559*v**2 - 157*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c**4\/5 - 12258*c**3\/5 + 501299*c**2\/5 - 4911882*c\/5 + 7916616\/5 = 0. What is c?\nAnswer: 2, 12, 27, 12217","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -31321 - -31437. Solve 80*s - 204 = o for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -441 (base 6) to base 13\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g = k - 2, -4*k - 6 = -5*g - 31. Let f = 22 + -19. Let j be 6 + f\/9*-3. Solve -5*l = -y + j*y + 31, -5 = -k*l + 5*y for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*n - n + 4. Let p be -7 + 5 + (-1 - -7). Let k = n + p. Calculate the remainder when 19 is divided by k.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r and 1 n when three letters picked without replacement from {r: 6, n: 2}.\nAnswer: 15\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v\/(v*v**(-20)\/v))*v**(2\/9)*((v**(2\/21)*v)\/v)\/v**(-13) assuming v is positive.\nAnswer: v**(-421\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 3*w**2)*(-2*w - 3 + 3 + (0 + 6 - 3)*(2*w - 1 + 1) - w + 2*w - 2*w - 8*w + 5*w - 2*w) as c*w + n*w**3 + p + f*w**2 and give n.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes after 3:56 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17932 and 17932.\nAnswer: 17932","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -215*(-6 - -10 - 5). Suppose -d = -2*z + 399. What is the units digit of z?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -20313020 (base 4) to base 12\nAnswer: -19008","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*p - 3*p**2 - 19 + 0*p**2 + 19 + 6*p.\nAnswer: -3*p**2 + 12*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -224*o + 131*o**4 - o**5 + 113*o + 46*o wrt o?\nAnswer: -20*o**3 + 1572*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1301*x**3 + 682*x**3 - 494*x**3 + 7.\nAnswer: 1489*x**3 + 7","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/5? (a) 0.1 (b) 0 (c) 0.3 (d) -304\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18792503363 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u**3\/8 - 4*u**2 + 17*u\/2 = 0.\nAnswer: -34, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = -s**2 - 805*s - 3. Let j(y) = 2*y**2 + 2420*y + 8. Let n(h) = 8*d(h) + 3*j(h). Let w(x) = x. Determine w(n(l)).\nAnswer: -2*l**2 + 820*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v + 0*v + v)*(6*v + 5*v + 7*v).\nAnswer: -18*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 88 a factor of 4136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/2))**(-2\/29) assuming c is positive.\nAnswer: c**(1\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide 762 by -331.\nAnswer: -762\/331","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.8 and 160?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 128012*p - 385114*p + 128546*p + 128533*p.\nAnswer: -23*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 105\/14*-3*(-16)\/72\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -n**3 + 11*n**2 - 9*n - 13. Let l be v(6). Suppose 5*b + 13 = l. Factor 7*y - 65 + 8*y + b + 5*y**3 + 25*y**2.\nAnswer: 5*(y - 1)*(y + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (12\/(-24))\/(6\/(-4) - -2). Which is smaller: 1\/1174 or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 268620485 a multiple of 35?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -10098 divided by -9?\nAnswer: 1122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 712 = 5*b - 4*w, 0 = -b - 5*w + 2*w + 150. Suppose -25*p + b = -17*p. Solve -5*k + 2 + p = 0 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g, 1 h, and 1 y when three letters picked without replacement from {g: 1, y: 5, h: 5}?\nAnswer: 5\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*p*(p*p**2)\/p*p*p)**12\/(p**14*p*p\/(p\/((p\/p**(-2\/3))\/p*p))*p*p) assuming p is positive.\nAnswer: p**(160\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-5342)\/(-7)*(43 - 36)?\nAnswer: 2, 2671","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j\/(j\/(j**10\/j)*j))\/j)**(-38)*(j**(-25))**(-17) assuming j is positive.\nAnswer: j**159","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2 + 7*c - 48. Determine l(5).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/7, -2\/55, -13\/4, 0.058, 0.2 in ascending order.\nAnswer: -13\/4, -2\/7, -2\/55, 0.058, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/4*(-6)\/(-198)*12.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -20 - 2222012000?\nAnswer: -2222012020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 10*n + 53. Let l(s) = -60*s - 221. Let j(z) = -31*z - 111. Let o(v) = 11*j(v) - 6*l(v). Let d(c) = -4*o(c) + 7*u(c). Does 2 divide d(-10)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 32 + (-1 - 12 - (60 + -73) - 11).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 + -1023103111?\nAnswer: -1023103120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:31 AM and 3:05 PM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 362737666?\nAnswer: 2, 181368833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = 14*z. Let n be p(1). Let g = 104 - n. Let o = g - 16. What is o rounded to the nearest ten?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = -253*k + 36573. Calculate w(144).\nAnswer: 141","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -4, 111323, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-5)*(-60)\/(-24)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = -9*w**3 + 4*w**2 - 11*w. Let k(p) = -8*p**3 + 5*p**2 - 11*p. Let c(v) = 5*f(v) - 4*k(v). What is the second derivative of c(h) wrt h?\nAnswer: -78*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = 3*p**2 + 25*p - 3 + 2*p**3 - 6*p**2 - 23*p. Determine o(2).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.7 + -0.2. Let c = 19125 + -153315\/8. Let k = c - -39. What is the nearest to 1 in v, k, -3?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18664483 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*f - 142 = 15*n, -4*f - 16 = 5*n + 26 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*b - 46*b - 45*b + 2*b**2 + 0*b**2 + 968 = 0. What is b?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-6) + (-46)\/(-6). Let v = -5 + l. Suppose -v*w - 136 = 146. What is w rounded to the nearest ten?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 161, -8, -1, -9.\nAnswer: -9, -8, -4, -1, 161","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 22, -1\/579, -89, -3\/8?\nAnswer: -1\/579","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -g**3 - 5*g**2 - g - 7. Let b be a(-5). Let z be (-14)\/(-4) - b\/(-4). Suppose z*c + 0*c - 18 = 0. What are the prime factors of c?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9 + 9. Let o be (p + -2 - 2) + 0. What is the smallest value in 4, o, 8?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 3 and 2066778?\nAnswer: 2066778","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 30040 + 10?\nAnswer: 30100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 40.7 + -41. Let r = 1068 + -1067. Which is the closest to -2\/3? (a) 0.4 (b) -1.5 (c) r (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 97*g = -8*y + 101*g + 68, -2 + 0 = -5*y + g for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from {q: 5, k: 13}.\nAnswer: 5\/408","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22187 + -329900031.\nAnswer: -329922218","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 6. Suppose 0 = -4*k + v*k + 4. Is (0 + (-6)\/k)\/((-11)\/44) even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 13*v + 33. Suppose 367*x + 2489 = 829 - 909. Give y(x).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1006*x = 13057*x - 394403 - 772826 for x.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 24.28847ml in litres?\nAnswer: 0.02428847","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 3*o + 15 = 0, n + o + 20 = -3*o. Solve -3*b = -n*b + 6 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (51\/(-21) - -3) + 92\/84.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 (base 16) in base 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -15, -g = 2*n - 7*n - 28. Suppose 3*w + g*d - 35 = -w, -2*d = w - 15. Suppose -9 - 44 = -4*b - w*i, b + 4*i = 27. What is the units digit of b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-7 - -7) + 2 - 15\/15. Put -5, h, 2, -20, -10 in decreasing order.\nAnswer: 2, h, -5, -10, -20","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -43 - -43. Suppose -3*b + c*w + 4 = 2*w, -5*w = -2*b + 9. Suppose i = -d + 19, d - b*d - 5*i = -39. Calculate the remainder when 25 is divided by d.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 282 = 7*d - 9*s, -2*d + 62*s - 26*s - 39*s - 81 = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 332*j**3 - 2*j**2 - 524 - 173*j**3 - 415 - 161*j**3 - j as h*j**2 + f*j + t + k*j**3 and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4*r**2 + 3*r**4 + 4*r**2 + (17*r**4 + 2*r**3 - 2*r**3)*(1 + 1 - 4) to j*r**4 + d + i*r**3 + q*r**2 + g*r and give j.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4248, 19972, 47168, 85830, 135952, 197528?\nAnswer: 270552","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -325920*b**3 - 849287*b**2 wrt b.\nAnswer: -1955520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 55976, 111977, 168008, 224069, 280160, 336281?\n\"Answer: 15*t**2 + 55956*t + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 + 1 + 1)*(0 - 1 + 3)*(126*r**3 - 6743*r**2 + 6743*r**2 + r**5).\nAnswer: -8*r**5 - 1008*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Express (1 - 4 + 1)*((h + h - 3*h)*(-11 + 6 + 4) - 29*h - 80*h + 156*h) as b + p*h and give p.\nAnswer: -96","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -26 - (-22 - (4 - (-5 + (10 - -10))))?\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 6539 divided by -62\nAnswer: -6539\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -12 (b) 0.46 (c) 0.5 (d) 3.64\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3719890490?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -11542, -23155, -34768, -46381, -57994?\n\"Answer: -11613*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 273*x**2 - 1424*x + 298. Determine n(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**23*v**(2\/3)*v assuming v is positive.\nAnswer: v**(74\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-2 - (2 - 0))*-9. Suppose 0 = 4*f - 28 - n. Suppose m - f = -0. Solve -1 = 5*q - m for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y**(-5)\/y)\/y)\/(y\/y**0)*y*y**(1\/4)*(y*y**(2\/5)*y*y)\/y assuming y is positive.\nAnswer: y**(-87\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 19 + 23 = 0. Let t(b) = -b**3 - b**2 - 5*b - 7. Let k be t(r). Find the second derivative of k*d - 2*d + 4*d - 9*d**2 wrt d.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*x + 8430 = -39*x - 113*x + 24443 for x.\nAnswer: 67","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let -t**5\/6 + 3*t**4 + 10*t**3 - 932*t**2\/3 + 560*t = 0. What is t?\nAnswer: -10, 0, 2, 12, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1 - -3)\/((-2)\/(-3)). Suppose -5*d + 38 = 28. Calculate the greatest common divisor of w and d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16*c**2 - 15*c**3 + 25*c**2 + 24*c**3.\nAnswer: 9*c**3 + 41*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -11, 1, -0.2 in descending order.\nAnswer: 1, -0.2, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -275*l + 277*l. What is the first derivative of -6 - 99 + 0*k**2 - 4*k**l - 21*k wrt k?\nAnswer: -8*k - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*p**4 - 2*p**4 - 3*p**4 + (1 + 1 - 18)*(2*p**4 - 4*p**3 + 4*p**3) to the form x*p**2 + r + a*p**4 + z*p**3 + g*p and give a.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, -39\/2, -35, 0.1, 4.18?\nAnswer: -35","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nninihifni. Give prob of sequence ii.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-2)\/(-6) + 460\/15 + -5. Put d, -1, 4 in decreasing order.\nAnswer: d, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2278865 to the nearest integer?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b**3 + 24*b**2 - 677*b - 537. Give d(-41).\nAnswer: -1357","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 442012 - 1134?\nAnswer: 440434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Put 453, 0, -3 in decreasing order.\nAnswer: 453, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 2*n**3 - 15\/4*n**2 - 1\/4*n**4 + 4 - 2*n = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -15 + -1148*19\/(-1444). Is -65.5 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - 4)*(-2 + 0 + 0)*(r**2 - 787*r**5 + 879151*r - 879151*r).\nAnswer: 6296*r**5 - 8*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 227*c + 3*c**2 - 5*c**2 - 220*c.\nAnswer: -2*c**2 + 7*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - 3*a - m + 13081 = 0, -2*a - 5*m + 8725 = 0. Round a to the nearest one hundred.\nAnswer: 4400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 159.03 + -159. Let m = -41.5 - -42.5. What is the second biggest value in h, m, -0.05?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 2*g**2 + 20*g + 20. Let a be p(-9). Solve a*b = 6*b + 4 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = y**3 - 4*y**2 + 4*y - 2. Let j be a(3). Let r = -5 - -5. Sort r, j, 2 in ascending order.\nAnswer: r, j, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 342855659 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 48523303 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 391773.6 days?\nAnswer: 33849239040000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o\/(o*o**(-18)*o*o))\/(o*o\/o**8))\/(o\/(o**(2\/29)\/o))**(-11))**(-3\/7) assuming o is positive.\nAnswer: o**(-3762\/203)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/k**(5\/4)*k*k)**(-26)\/((k\/(k\/(k\/k**(-11))))\/(k*k\/(k\/(k\/(k*(k*k**(1\/2))\/k)))*k)) assuming k is positive.\nAnswer: k**(-108)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 124 = 5*f. Let q be (8\/2)\/(4\/22). Let v = f - q. Calculate the least common multiple of v and 1.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 727\/16 >= 44?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 4*u**2 - 6*u + 12. Let g(z) = 21*z**2 - 28*z + 61. Let v be ((-1)\/(-3))\/(79\/474). Let i(p) = v*g(p) - 11*k(p). Determine i(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1010111010001011101010 (base 2) to base 7\nAnswer: 33210322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -2, -5, -3\/4, -1, 0.54?\nAnswer: 0.54","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1.4 + 0.4. Let m = 6 + y. Which is the nearest to 2? (a) m (b) 0 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 66? (a) 8\/15 (b) 1 (c) -0.5 (d) 2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -537*d + 517*d + 240 = 0 for d.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*w - 5*w**3 + w**2 - 7*w**3 + 0*w**2 - 78*w.\nAnswer: -12*w**3 + w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -9672850 to the nearest one thousand.\nAnswer: -9673000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -1a - -4b166?\nAnswer: 4b14a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-6)\/(-4) - 1)*0. Suppose v = h - 0*h. Which is greater: h or -2\/3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ub when two letters picked without replacement from {k: 1, b: 4, u: 3, y: 2}.\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - k + 24 = 4*k, k - 16 = -2*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (sqrt(891) - 1*sqrt(891)*2) + sqrt(891).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.1 * 0.682\nAnswer: 0.0682","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*f - 12 = -13*f. Suppose -14*o + f*o + 4*o = 0. Let x be (-20)\/(-3)*(-3)\/(-2). Solve 0*z - 2*z - x = o for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-4725)\/(-90))\/35)\/((-3)\/56).\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.16 + 0.06. Is -1 at least as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -231 (base 6) to base 5.\nAnswer: -331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 50b (base 12) to base 9\nAnswer: 1002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) be the first derivative of u**4\/40 - 8*u**3\/15 - 17*u**2\/20 + 421. Factor q(i).\nAnswer: i*(i - 17)*(i + 1)\/10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.011977838 rounded to 6 dps?\nAnswer: -0.011978","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3*2 - 96\/(-15).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18722 divided by 506?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are 4\/71573 and 1 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1746 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*b + 2*b - 796*b**3 + 794*b**3 - 3*b**2 - 491*b**2 to the form o*b**2 + y*b**3 + l*b + u and give o.\nAnswer: -494","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -127038 - -13974277\/110. What is the common denominator of 59\/110 and x?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1788, 1.6, -0.2, 164.\nAnswer: -1788, -0.2, 1.6, 164","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = -4*l**3 + 19*l**2 - 3*l + 109. Calculate b(8).\nAnswer: -747","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 206 is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(104)\/(sqrt(8)*2) + ((sqrt(832) - 2*sqrt(832))**2 - sqrt(13))).\nAnswer: -5*sqrt(13)\/2 + 4160","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -695169 + -0.0877202?\nAnswer: -695169.0877202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 111101011100010 + 1101100?\nAnswer: 111101101001110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00012382 to 6 dps.\nAnswer: 0.000124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) be the third derivative of m**5\/210 + m**4\/28 - 10*m**3\/3 + 16*m**2 - 33*m. Factor f(r).\nAnswer: 2*(r - 7)*(r + 10)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = r**3 + 2*r**2 + 13*r - 27. Suppose 3*c + i + 6 = 15, 3*c = -3*i + 9. What is the units digit of q(c)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10\/(-11 - -1))\/(1 - 0)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-4*(sqrt(126) + (sqrt(126) - -1*sqrt(126))) - sqrt(126))\/(-2*sqrt(567)))\/((sqrt(96) - sqrt(24))\/sqrt(4) - sqrt(54)*6))**2.\nAnswer: 169\/31212","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 0.2 + -6.2. Which is the nearest to -0.2? (a) d (b) 1\/3 (c) 1\/64\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 455 - 5bbc?\nAnswer: -5767","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -223269 or -223265?\nAnswer: -223269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 261 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) be the second derivative of h**6\/360 - h**5\/90 + 2*h**2 + 3*h. Let t(o) be the first derivative of u(o). Solve t(p) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.30103021 + -0.2?\nAnswer: 0.10103021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1219540 by 28.\nAnswer: -43555","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -x = 12*x - 78. Suppose x*t + 8*t - 3948 = 0. What are the prime factors of t?\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3083683 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nrjj when four letters picked without replacement from xrdddjdrdddnjnndd?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2.9 (b) -9 (c) -3\/2 (d) -766\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -128 + 129. Solve -5*t - h = d - 16, 3*d = t + 13 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find a, given that a**4\/6 - 7607*a**3\/6 + 14470415*a**2\/6 - 14462809*a\/6 = 0.\nAnswer: 0, 1, 3803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2311758 decades to centuries.\nAnswer: 0.02311758","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*f = 7*f + 1395. Suppose 19*g + f = 20*g. What is the tens digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/3 + 8\/9*z + 2\/9*z**2.\nAnswer: 2*(z + 1)*(z + 3)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = -k**3 + 3*k**2 - 1. Let j be c(2). Let a(n) = n**2 - n - 41. Let x be a(7). Solve 3*i - 2 = z, 0 = 4*i - j*z - 2 + x for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19*z - 24*z = 5*j - 40, 0 = -5*z + 3*j for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -35383 (base 10) in base 16?\nAnswer: -8a37","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -67\/42302 and 31\/130.\nAnswer: 211510","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -16*v**3 + 865188*v**2 - 216296*v.\nAnswer: -4*v*(v - 54074)*(4*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 4 + 4)*(2 - 4*w**2 + 2*w**2 + 20*w**2).\nAnswer: 36*w**3 + 4*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 2*w. Let l(s) = -129470*s - 134. Determine b(l(g)).\nAnswer: -258940*g - 268","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 128212 divided by -1687.\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 202 minutes after 12:36 AM?\nAnswer: 3:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 2\/3, -1988\/29, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*c**3*j*z**3 + 3*c**3*j*z**2 - 3*c**3 + 3*c*j - 23*j*z**3 + 4*j*z**2 wrt z?\nAnswer: -12*c**3*j - 138*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11200201 (base 3) in base 13?\nAnswer: 1732","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37819?\nAnswer: 59, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) be the first derivative of -q**3\/3 + 505*q**2\/2 + 2399*q - 2336. Differentiate r(l) with respect to l.\nAnswer: -2*l + 505","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -3296.22 - -3378. Round a to the nearest 10.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-39)\/5*68\/(55080\/(-225))?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = 197*b - 46. Let g(d) = -69*d + 14. Let c(u) = 17*g(u) + 6*n(u). Give c(-18).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 102 - 1325\/13. What is the nearest to 0 in j, 0, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 539238 and 259.\nAnswer: 539238","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 - -24. Let q be (-84)\/u*5\/(-15) + 2. What is the smallest value in -0.3, 0, q?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (3 + -2)*2 + 1. Let u(r) = -5 + 3*r - n + r**2 + 1 + 5. Is 3 a factor of u(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (3\/(-2))\/(7\/14). Let y be s\/(-6) - 2\/3. Put -2, 3, y in decreasing order.\nAnswer: 3, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 291.9 + -273. Let u = 19 - c. Let y = 0.1 + 0. Is y >= u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -3 + -2 - (-1 - -6)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pb when two letters picked without replacement from {b: 7, p: 9}.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -2*m**2. Let k(h) = 173*h - 115*h + 255*h. What is o(k(v))?\nAnswer: -195938*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b**(-2\/9)\/b)\/(b\/(b\/(b\/b**(-3\/2)))))\/((b\/(b*b**(1\/5)))\/(b**(-2\/33)\/b*b)) assuming b is positive.\nAnswer: b**(-3547\/990)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 3. Suppose -3*m = -u*m. Let b(p) = p - 5. Determine b(m).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -5*(-1 + (sqrt(288) + sqrt(288) + -1)**2 + sqrt(2) + 5).\nAnswer: -5785 + 235*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = 4*b**3 - 7*b**2 - 10*b + 1. Let n(r) = 11*r**3 - 21*r**2 - 31*r + 3. Let k(t) = -8*h(t) + 3*n(t). Let u be 1 - 24\/(-3 - 0). Is k(u) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q\/q**(3\/2)*(q*q**(-1\/18))\/q)\/(q**(-2)\/q)**4 assuming q is positive.\nAnswer: q**(103\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = d**3 - 8*d**2 - 8*d. What is j(-7)?\nAnswer: -679","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-45)\/(-105)*2\/3. Let u = -2.3 + 4.2. Let b = -0.1 - u. What is the third smallest value in o, -5\/3, b?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7*s**4 - 4*s - 2*s**3 + 4*s + 2*s**2 + 8*s**4 to the form p*s + j*s**4 + y*s**2 + z*s**3 + x and give j.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -686243\/33 - -1611201973\/77484. Let o = y + -2\/587. Let r = -772.8 - -773.3. Which is the closest to -2? (a) o (b) 2\/13 (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2423 - 22*m + 6*m + 2428 + 17*m**2 to the form z*m + d*m**2 + a and give d.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is -2105 divided by -5?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-135)\/(-810))\/(4\/(-3))?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1333 - 1331. What is the third smallest value in 0, 2\/7, 4, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i + 1. Let d be s(-1). Let j be 2 + 1 - -3 - 1. Let t(a) = 5 + 0*a + 5*a**2 + 3*a**3 - j*a + 2*a**3 - 6*a**3. What is t(d)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2615524 by -2615524.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r\/((r**(-5)\/r)\/r*r))**35*(r**18\/r*r)\/(r*r\/(r*r**(2\/51))*r))**17 assuming r is positive.\nAnswer: r**(13313\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 40049 = -60*t + 63*t, 40079 = 4*k + 3*t. Find the third derivative of 66*s**4 + k*s + 13*s**2 - 10017*s + 86*s**4 wrt s.\nAnswer: 3648*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 47555065 and 545?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1536056 + -2?\nAnswer: -1536058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4270531, 8541063, 12811595?\nAnswer: 17082127","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -69\/140 and 103\/20.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -5*k**2 - 310*k - 3101. Calculate y(-50).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 12:19 AM?\nAnswer: 3:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -21*x**3 + 2329*x**2 + 224*x - 222. Let k be r(111). Let k - 10\/9*l - 2\/9*l**2 = 0. Calculate l.\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 + 0. Let c = -0.055 - -1.755. Let g = c - 1.3. Is b greater than or equal to g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 434009 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tttttkktkkkkt. What is prob of picking 2 k?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 175, 2, -28, 11, 18 in increasing order.\nAnswer: -28, 2, 11, 18, 175","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p - 19. Let v(x) = -16 - 74 + 99 - x. Calculate 2*j(y) + 5*v(y).\nAnswer: -3*y + 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1.73499 + 389612137.\nAnswer: 389612138.73499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10088727?\nAnswer: 3, 11, 305719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yy when two letters picked without replacement from {m: 1, a: 4, y: 6}.\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27173090 by -5434618.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 1086 - 83. Suppose -7*l + 992 + q = 0. List the prime factors of l.\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 2*h**4 + 18*h**3 + 48*h**2 + 32*h = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -34. Let f = -18.015 - w. Round f to two dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*r + 63*r = 8029. Calculate the highest common divisor of r and 62.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -458848 rounded to the nearest 1000?\nAnswer: -459000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 20\/14 + ((-10)\/(-4))\/((-18235)\/18756)?\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78 - -31. Suppose 0*m + 13 = m + 3*x, 4*m = 3*x + 67. Let a = m - f. What is the remainder when a is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110000011101111 - 11111111000111?\nAnswer: -1010000010110110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 1027*t**2 - t - 1. Let z = 63 + -60. Is w(z) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4650 is divided by 1161?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-480)\/540 + 186\/189. Let l = 0.2 + -0.4. What is the closest to 1 in l, -2, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0 divided by 61\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/57 + ((-88211)\/(-57) - (-8)\/(-12)). What is the greatest common factor of r and 49?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -316321739 divided by -5.\nAnswer: 316321739\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -1\/4 (b) -2\/419 (c) -1 (d) 1.1 (e) 0.1 (f) 9\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = 57*k - 2. Let h(m) = 56*m - 1. Let c(q) = -5*h(q) + 6*r(q). What is the first derivative of c(w) wrt w?\nAnswer: 62","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 14.463 and 3?\nAnswer: 43.389","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p + b = -77, -2*p = -3*p - 5*b - 43. Suppose 2 = -z, 3*z - 101 = -4*w + 97. Let o = w + p. List the prime factors of o.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = -2*w**2. Let d(k) = -2463297*k**2. Determine t(d(x)).\nAnswer: -12135664220418*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -2*t - 18, -3*t + 6*x - 24 = x. Put 5, -2, 17, t in increasing order.\nAnswer: t, -2, 5, 17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 12*a - 129. Let w be t(11). Suppose -3 = g, -w*g - 12 = n - 4*n. Sort -2, n, 0, -3 in ascending order.\nAnswer: -3, -2, 0, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(p) be the first derivative of -2*p**3 + 5\/2*p**4 - 2\/5*p**5 + 0*p - 9*p**2 - 114. Factor g(t).\nAnswer: -2*t*(t - 3)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9 + 4 = -x. Suppose p - x*p + 68 = 0. Let y = 7 - 2. Solve -8 = -y*a + p for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -13553042 - 5?\nAnswer: -13553051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 24 = 44. Let b(a) = -x*a + 15*a + 4 - 8*a. Calculate b(-5).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -55166434 from 48.454.\nAnswer: 55166482.454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 28.72136g in nanograms?\nAnswer: 28721360000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -224 - -77. Calculate the least common multiple of 11 and p\/(-35) - 2\/10.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*q + 13 = 1. Put 4, q, -3 in decreasing order.\nAnswer: 4, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-321)\/(-21) + (-22)\/77. Solve -3*x = -8*x + q for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -123425, -248898, -374371, -499844?\n\"Answer: -125473*g + 2048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**6\/q*q\/(q\/((q*q**(-1))\/q))*q*q)\/(q**(2\/17)*q**5) assuming q is positive.\nAnswer: q**(15\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30714 - 30746.48. What is h rounded to one dp?\nAnswer: -32.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -127, -0.4 in decreasing order.\nAnswer: -0.4, -4, -127","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 5*s**3 - 19*s**3 - 24*s**3 + 7*s + 1 - 2*s**2 - 24*s**3 wrt s.\nAnswer: -372*s - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-15*1)\/((-39)\/(-26)). What is the smallest common multiple of ((-6)\/(-10))\/3 - (-9)\/5 and (8\/5)\/((-4)\/y)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -26 less than or equal to -55?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 53358005 to the power of 1\/6, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.86589 rounded to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 a factor of 2356?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 112439*b**2*u**3 - b**2*u**2 + 894*b**2*u - 5*b**2 + 12*b*u**2 - 6*u**3 wrt u.\nAnswer: 674634*b**2 - 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = 4*g + 21. Let n(p) = -3*p - 20. Let b(t) = -5*n(t) - 4*s(t). Give b(11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 3 + 1)*(1 + 3 - 2)*((l - 3*l + l)*(-3*l**2 + 2*l**2 + 2*l**2) + l**3 + 3*l**3 + l**3 - 4*l**3 - l**3 - l**3 + l**3 - 3*l**3 + l**3).\nAnswer: 6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert -94 (base 11) to base 7.\nAnswer: -205","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15, -48, -103, -180?\nAnswer: -279","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 3 - 1)*(-34*v + 66*v - 26*v)*(27 + 2 + 36).\nAnswer: 780*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -20433967711 + 0.1?\nAnswer: -20433967710.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -85*b**2*f + 85*b*f - 140*f wrt b?\nAnswer: -170*b*f + 85*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 z when four letters picked without replacement from {i: 8, z: 3}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 * 213.2\nAnswer: -12.792","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1 less than 1816431279?\nAnswer: 1816431279.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -21740050 divided by 5450?\nAnswer: -3989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -r**2 - 6*r - 3. Let h be q(-4). Suppose h*t + 469 = -8*w + 4*w, -2*t - 466 = 4*w. Which is bigger: -117 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -63\/25 and 71\/75?\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 34842570 equal to 34842570?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 27917808?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -137\/6 and (1 + -6)\/((-304)\/(-20)).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 219 = -66*y - 7*y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j - 7 = 3*u, -5*u + 2*u = 2*j + 8. Let v be (-2)\/j - -2 - 1. Let g = 0.06 + -5.06. Which is the smallest value? (a) 2 (b) v (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.01721 or 2\/11?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -14*n**2 - n. Let h(i) be the second derivative of -i**4\/6 + 4*i - 2. Calculate h(b(j)).\nAnswer: -392*j**4 - 56*j**3 - 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 53 divide 39042874?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.4 + 2.4. Sort -0.4, 4, i, -0.3 in ascending order.\nAnswer: -0.4, -0.3, i, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00001463892 to 6 decimal places.\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - 7 - -16) + -5 + -19?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-84)\/(-30)*15\/6\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -41 + 54. Suppose -9*o + 41 + c = 0. Calculate the smallest common multiple of o and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 2, a: 1, b: 4, f: 1}. What is prob of picking 1 b, 1 a, and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -228363*f**2*x**3 + 2*f**2*x**2 - f**2*x + 8*f**2 - f*x + 1529*x wrt x.\nAnswer: -1370178*f**2*x + 4*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a - 4. Let l(b) = -5*b - 21. Let d(v) = -2*l(v) + 11*y(v). Give d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5002, -5006, -5010, -5014, -5018?\nAnswer: -5022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/(0 + 20\/(-8)).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -145*d + 4. Determine z(-1).\nAnswer: 149","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -19304\/45 + 429. Is w at most -1\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**3 - 8*b**2 + 2*b + 9. Let h be r(-8). Let j(g) = -7*g + 2. Let i(o) be the first derivative of -21*o**2\/2 + 7*o + 3146. What is h*j(k) + 2*i(k)?\nAnswer: 7*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 288\/567 + (-4)\/14. What is the smallest value in n, -5, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22158 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -306 + 306.1. Let v = 97\/273 - 2\/91. What is the closest to 1 in t, -4, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**3 + r - 11. Let k(u) = -u**3 + 15*u**2 - 2 - 15*u**2. Let c(i) = 11*k(i) - 2*m(i). What is the second derivative of c(b) wrt b?\nAnswer: 6*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5*(-2*sqrt(1134) - sqrt(1134) - sqrt(1134)))\/(sqrt(112)*-2 - 5*(sqrt(7) - sqrt(63) - sqrt(7))))**2.\nAnswer: 64800\/49","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*t**5 + 10*t**5 - 13*t**5 + 4*t - 2*t**3)*(6 + 1 - 2).\nAnswer: 5*t**5 - 10*t**3 + 20*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p - 134 - 52 = 0. Calculate the remainder when p is divided by 9.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**3 - 5*s**3 - 3*s**3 + s**3 - s**3 - 4*s**3 + (3 + s - 3)*(5*s**2 - 5 + 5) to the form k*s**3 + z + p*s**2 + m*s and give k.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1\/8)\/m**14)**22)**(6\/7) assuming m is positive.\nAnswer: m**(-3729\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*v - 3164 = -268*v - 724. Solve -2*f = l + 5, 5*f + v = 66*l - 70*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -53*g*t + 27368*g - 26*t wrt t?\nAnswer: -53*g - 26","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.17 * -70748.\nAnswer: -82775.16","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 2*n**2 - 2. Let d(y) = -20*y**2 - 15 + 32*y**2 + 4. Let l(z) = -4*d(z) + 22*s(z). Let f(a) = 17*a. Determine l(f(v)).\nAnswer: -1156*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00003744642 to five decimal places.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 - (-1 - -3) - (-18 - (22 - 42))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-65)\/12*(255\/(-75) + 3). Which is smaller: 2\/5 or b?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -123*z + 53. Let r(h) = -77*h + 35. Let m(j) = 5*p(j) - 8*r(j). Calculate m(12).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - o - 181 = 354, -o - 712 = -4*d. Does 35 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 75, 56, 19, -42, -133, -260, -429, -646?\nAnswer: -917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 103 - -1110211?\nAnswer: 1110320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 91, -0.03, -0.1, -2 in decreasing order.\nAnswer: 91, -0.03, -0.1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 66805, 66804, 66803, 66802, 66801?\n\"Answer: -w + 66806","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -44 = 4*k + 2*v, -k - 46441 = -2*v - 46470 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a9a - 18dd?\nAnswer: -c43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -1525*s**2. Let z(n) = -2*n. Calculate i(z(x)).\nAnswer: -6100*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 83 - 51. Let i = a + -32. Let u(s) = s**3 + s**2 - 2*s - 400000. Let p be u(i). What is p rounded to the nearest one hundred thousand?\nAnswer: -400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*v**3 - 2*v**3 + 3*v**3 + (v**2 + 0 + 0)*(-4 + 2*v + 4) - v + v - 3*v**3)*(-24 - 16 + 6).\nAnswer: 68*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 3336392?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -9269 + 9248. Let f(y) = 2*y**2 - 4*y + 2. Let d be f(2). Suppose 3*m = 4*b - 1 + 8, 2*b + 5 = m. Sort c, d, b in descending order.\nAnswer: d, b, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.8 - -3. Let j be 3*(140\/21)\/10. Suppose -149*o + 4*l = -150*o + 23, 22 = 4*o + j*l. Which is the nearest to o? (a) -4 (b) f (c) -1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 67207070241 + -67207067452.00003717. Let f = 2789 - l. Round f to 6 dps.\nAnswer: 0.000037","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-363)\/5 - (-4)\/(-10). Suppose -2*o = 4*k - 38 - 36, -k + 5*o = -35. Let q = k - m. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find m such that -3552 + 1\/2*m**4 + 2632*m - 642*m**2 + 99\/2*m**3 = 0.\nAnswer: -111, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5 - 6\/((-18)\/429). Let g = o - 90. Is -0.1 at least g?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -316833, -633663, -950495, -1267329, -1584165?\nAnswer: -1901003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 - 0\/(1*-3). Suppose -5*i - 3*s = 1 - 0, -2*i - s - 1 = u. Let g = 11 - i. Is g prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - (-2 + 3 + 0). Suppose 2*s = -3*z - 5, z - 10 = -5*s - i*z. What is the smallest common multiple of s and 6?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -1039.2 and -5526.\nAnswer: -6565.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00271580711 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) be the second derivative of u**4\/12 + u**3\/3 - u**2\/2 + 3*u. Let l be ((-6)\/(-4))\/((-39)\/130). Let d(j) = 3*j**2 + 4*j - 3. Calculate l*t(o) + 2*d(o).\nAnswer: o**2 - 2*o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 33*o = 4*j + 30*o - 48, 0 = j + 2*o - 1 for j.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 344912 and 2520?\nAnswer: 108647280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-nine fifths of a litre in millilitres?\nAnswer: 11800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x**2 - 1328225*x + 895595220 = 0.\nAnswer: 676, 264969","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-71*(-2)\/6*12\/(-14))\/((-98451)\/(-689157)).\nAnswer: -142","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = 42*q**2 - q - 12. What are the prime factors of n(-2)?\nAnswer: 2, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -2\/9 (b) -1\/2 (c) 2\/3 (d) -40\/13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 2 and 133.589?\nAnswer: 267.178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2988 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 u when two letters picked without replacement from {u: 3, d: 3}.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 2*p**2 + 26*p + 51. Let f be a(-14). What is the third derivative of -h**6 - 3*h**2 - h**6 + f*h**4 - 19*h**5 - 79*h**4 + 4*h**6 wrt h?\nAnswer: 240*h**3 - 1140*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -307 + 308. Let u = 1327\/1068 + 2\/267. What is the nearest to u in m, -4, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -6*b + 3. Let l(g) be the second derivative of g**5\/120 + 3*g**3\/2 - g**2 + 2*g + 22. Let q(y) be the second derivative of l(y). Give q(d(n)).\nAnswer: -6*n + 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*y**4 + 4*y**4 - 5*y**4)*(-6*y + 0*y + 0*y).\nAnswer: -36*y**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -11, 45, -7, 0 in descending order.\nAnswer: 45, 0, -7, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 8 (b) 2\/3065 (c) 5 (d) -4 (e) -2\/35\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6479 is divided by 103.\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 505, 1200, 2, -3 in decreasing order.\nAnswer: 1200, 505, 2, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 220, 214, 208, 202?\n\"Answer: -6*p + 226","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -2099*t - 20906. Give o(-10).\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 1 + 0)*(-1 - 4 + 3) + 1 - 5 + 3 + 3 + 1 - 2 - 8 - 3 + 3 + 16 - 9 + 10)*(-x**2 - x**2 + x**2) in the form t + q*x + p*x**2 and give p.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b and 1 i when two letters picked without replacement from bibii?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1170 - 1695. Let v = 575.37 + p. Let x = -50 + v. Round x to 1 dp.\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 0 + 27*v + 5 as u + d*v and give d.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*k**2 + 6805542*k + 3402770.\nAnswer: 2*(k + 1701385)*(2*k + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -13 divided by -75208.\nAnswer: 13\/75208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 13*j + 17. Let a be p(-14). Solve -12 = -0*l + a*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1 + 18. Let y = u + -12. Suppose -9 = -h - 2*c, 0*h + 4*h + y*c = 42. What is the units digit of h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/38 in 22, 0.01, 3, 2277?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is (-12)\/(84\/39 + 4\/(-26))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -20*m - 8*m**2 + 7*m**2 + 84*m to g*m + h*m**2 + b and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 + -11. Let k = -0.032 + 0.016. Let u = 4.984 - k. Sort h, u, 0.2 in ascending order.\nAnswer: h, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 76 divide 2919692?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -18.4087054 rounded to two decimal places?\nAnswer: -18.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*w + 11. Suppose -y + 3*y = -w*n - 10, 0 = 3*y + 5*n + 11. Solve 3*r + r + y*m + 3 = 0, -5 = m for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -12 - 823 = -5*c. Let u = c + -7. Suppose 4*j - 4*z = u, 2*z - 4*z = -4*j + 154. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 118 + -56 + -70 + 0 + 45?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/m**(-2\/9))**(2\/55)\/((m*(m\/(m*m*m**(2\/3)*m*m))\/m)\/m*m*m*((m*m\/m**(1\/2))\/m)\/m))**(-3\/5) assuming m is positive.\nAnswer: m**(-289\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -k**3 - 16*k**2 + k + 19. Let z be n(-16). Let p(a) = -a**3 + 4*a**2 - 2*a + 3. Let f be p(3). Solve -z*g = 9, -f = 3*s + 4*g - 0 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 112137532727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 739493879?\nAnswer: 739493879","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 19, r: 1}. Give prob of sequence dr.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**2 - 39534*x**3 - 2 - 39536*x**3 - 8*x + 79076*x**3 to m*x**3 + j*x**2 + v*x + d and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -13 - (15855\/1435 - 8\/164).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 5 = 3*b. Put -4, 5, b, -2 in descending order.\nAnswer: 5, b, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/(v\/(((v*v**(1\/13))\/v)\/v*v))*v\/v**1)**(-26)*v**(-4)*v**(-8)*v**(-8)*v*v*v\/(v\/(v**(-7)\/v))*v assuming v is positive.\nAnswer: v**(-27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-10)\/(-4))\/(60\/(-24) + 48\/18)\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 179 is divided by 43.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -156, 4, 166 in decreasing order.\nAnswer: 166, 4, -156","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-35)\/((-2310)\/(-704))*(-4)\/(-48)\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.17 and -142.\nAnswer: 24.14","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 263608554?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8.69508l to millilitres.\nAnswer: 8695.08","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) be the third derivative of 0*s**3 + 1\/24*s**6 + s**2 + 0 - 1\/6*s**5 + 5\/24*s**4 + 0*s. Let w(g) = 0. What is g?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (30\/(-4)*(-3)\/30)\/((-2296)\/(-55104)).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence hk when two letters picked without replacement from {j: 1, h: 3, k: 4, f: 3, q: 1, a: 3}?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.0255 - -0.0145. Which is the third biggest value? (a) -5 (b) -3\/10 (c) y (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*q + 35433 = 4*q - 89583. What is the thousands digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -651, -1347, -2093, -2895, -3759, -4691?\n\"Answer: -n**3 - 19*n**2 - 632*n + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 9696487 to the nearest integer?\nAnswer: 3114","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w + 118 = 5*r, 122 = 23*r - 18*r + 2*w. Solve 3*c - h = -12, -2*h - r = 5*c - c for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:42 AM and 10:02 AM?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 614*o**2 + 659*o**2 - 1275*o**2 + 3399 - 3399.\nAnswer: -2*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = 2*d - 9, -2*j - 6 = -j - d. Let t = -2 - j. Let x = 5 - t. Solve 0 = -x*l + l - 12 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 5.554281 centuries?\nAnswer: 0.5554281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v - 7. Let y(s) = -s - 4. Let a(r) = 4*c(r) - 7*y(r). Let j(x) be the second derivative of 13*x**4\/6 - 4*x. What is j(a(z))?\nAnswer: 26*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10538070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.03? (a) -0.2 (b) -1215 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkuhkukfufufffffua. Give prob of sequence fuh.\nAnswer: 35\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 4826\/14 - (1 - 63\/49) a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = 14*c - 2. Let n(d) = d**3 - 7*d**2 + 7*d - 4. Let x be n(6). Let w be i(x). Suppose 2 = -2*h + w. What is the greatest common divisor of 30 and h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) 7\/4 (b) 2 (c) -5 (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -2*(1\/2 + -2). Suppose -5*k + 2 = -v*k. List the prime factors of (-36)\/9 - k*-23.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 - (-4 - (3 - (-5 + 3 + 6)))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*o = 2*o + 99. What are the prime factors of o?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y + 2*d = 5*d + 18, 5*d + 5 = 0. Let l(j) = 3999*j**2 - 3*j + 10. Let p be l(y). Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3\/10 + 26\/95. Let x = -41\/114 - n. Let m = 2\/171 - -4\/19. Put m, -1, x in increasing order.\nAnswer: -1, x, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 108 + -54. Let i(c) = -c**3 + 7*c**2 + 8*c + 18. Let x be i(8). Calculate the greatest common divisor of x and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five eighths of a microgram in nanograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 5 and 188215?\nAnswer: 188210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**(7\/5)*j\/(j\/((j\/j**(-30))\/j)))**5)**(1\/56) assuming j is positive.\nAnswer: j**(157\/56)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 34702490 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 4*y**2 + 9588872*y - 9588876 = 0. Calculate y.\nAnswer: -2397219, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 4926.29 to the nearest 100.\nAnswer: 4900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 93 - (-251 + 121 + 144).\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w + 2*h - 13 = 0, 4*w + 0*h = -4*h + 36. Let k(d) = 3*d - 5. Let i(c) = -8*c + 14. Let t(x) = w*i(x) + 14*k(x). Let z(r) = 6*r**2. Give z(t(q)).\nAnswer: 24*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -22 - -12. Suppose 45 + 51 = -4*b. Let t = o - b. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -776*w = -m - 779*w + 1, 4*m - 4*w - 4 = 0 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*s - 33*s = -138*s - 2464 for s.\nAnswer: -56","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 5204 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-12154)\/(-30) - -3*2\/(-45).\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 356.9915 minutes in nanoseconds?\nAnswer: 21419490000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f - 27. Let x be j(-16). Suppose -3*b + m + 10 = 0, 5*b + 0*m - x*m = 20. Solve 0 = -s + b - 6 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 298 minutes after 10:51 PM?\nAnswer: 3:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 274110048 to the power of 1\/2, to the nearest integer?\nAnswer: 16556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1022 + 2?\nAnswer: -1020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 180\/(-72)*2\/1*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2314?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17529035 is divided by 61.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -141 - -141. What is z in 1\/3*z + c - 1\/3*z**2 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1770 + -7115\/4. Find the common denominator of x and (-18549)\/1680 + 3*374\/102.\nAnswer: 560","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0002035428314 to six dps.\nAnswer: -0.000204","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*y + 31*y + 9 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -5 + -6 - (10 - (25 - 6))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.13 times 0.9?\nAnswer: -9.117","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -25272 times 0.74?\nAnswer: -18701.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -3237*s + 1822436. Calculate z(563).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = 27*z + 26. Let v be s(-1). Let c(a) = a**2 + a - 1. Let o(r) = 7*r**2 + 2*r - 5. What is v*o(d) + 5*c(d)?\nAnswer: -2*d**2 + 3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in one quarter of a micrometer?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 - 244707.\nAnswer: -244712","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or -32\/45?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8*1*(-10)\/(-20). Suppose -81 = -5*g + 4*k, -k + 73 = 4*g + u*k. Is 7 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 55\/2310*(-114)\/(-19).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 80\/320*24*2. What is the greatest common divisor of 7692 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13*w**2 - 5*w**2 + 18*w + 13*w**2 - 18*w.\nAnswer: 21*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a + 16 = 5*g, a + 3*g = -g + 12 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -91*f + 31. Let k be j(-23). Calculate the greatest common divisor of 36 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 6, p: 1, x: 3, z: 7}. What is prob of sequence xp?\nAnswer: 3\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 4 and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = 7*s - 6. Let c(q) = -140*q + 119. What is -6*c(y) - 119*p(y)?\nAnswer: 7*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -106*u**3 - 8*u**2 - 4*u + 94. Let k(g) = -106*g**3 - 10*g**2 - 5*g + 93. Let l(h) = -4*k(h) + 5*z(h). Differentiate l(y) with respect to y.\nAnswer: -318*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (8 + -3 - -7 - 5) + -4\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*c - 3*c**2 - 8*c + 13*c**2 to the form b + r*c**2 + p*c and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 2153795597 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 2 = -4*h + 1, 10 = -4*h + 2*y. What is the units digit of h\/((2\/9)\/(-2))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0, -3\/7, -0.3, -0.192, 1?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: ((-70)\/11)\/2 + (-12)\/(-4)\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b\/(b\/b**0))**(47\/3)\/(b*b\/b**(2\/5))**(-2\/13))\/((b*b\/b**3)**(15\/4))**(-46) assuming b is positive.\nAnswer: b**(-22393\/130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((4\/(-144))\/(160\/3200))\/((-5)\/(-42)).\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -22.824 to the nearest 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 10453 + -10452.7. Sort w, -1\/2, -1\/6, 3, 0.\nAnswer: -1\/2, -1\/6, 0, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*l - 8 - 168*l**2 + 8.\nAnswer: -168*l**2 + 2*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = 5*v + 34. Let x be t(-5). Suppose 0 = x*r - 10715 - 3352. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = -3*g - 6. Suppose -10*b = -11*b + 22. Calculate the remainder when b is divided by a(-6).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 6.19, -0.2, 0.1, 0.515 in increasing order.\nAnswer: -0.3, -0.2, 0.1, 0.515, 6.19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 13605 = 3*r, -r - 2*q - 4550 = -6*q. Let z = r + 30611. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 209, -3, 8, 0.5, 30, -0.3?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = q**2 - 3. Determine y(3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8522, -8523, -8524, -8525?\nAnswer: -8526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 5 - 163.56\nAnswer: -158.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*l + 1928 = -4456. Let c = -802 - l. Sort 5, c, 0, 2 in increasing order.\nAnswer: c, 0, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*l**2\/11 - 7188*l\/11 - 6458418\/11.\nAnswer: -2*(l + 1797)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) be the first derivative of -y**4\/4 + 17*y**3\/3 - 15*y**2\/2 - 22*y - 465. What is j(16)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**5 - 3*b**5 + 0*b**5 + (-16*b + 16*b + 9*b**2)*(0*b**3 + 0*b**3 - 2*b**3) + (-6*b**2 + 2*b**2 + 2*b**2)*(-4*b**3 - 3*b**3 + 3*b**3).\nAnswer: -12*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (3 - (0 + 2)) + 4 + -2. Let t(b) = 42*b - 43*b - b**v - 6*b**3. Let j be 6 + -7 - (0 + 0). Give t(j).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) be the first derivative of 19*d**6\/120 + 3*d**5\/20 + 3*d**2 + 5. Let w(h) be the second derivative of o(h). Find the third derivative of w(p) wrt p.\nAnswer: 114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 37 + -33. Suppose 0 = z*f - 9*f + 50. Calculate the smallest common multiple of f and 1.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(88)\/sqrt(4)*-5)\/(-3*-1*sqrt(275)).\nAnswer: 4*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 3333 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -3*-2*(-2 + sqrt(700))*2)**2.\nAnswer: -4560*sqrt(7) + 101161","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 8*s**2 - 5*s - 3. Let v be (6 + 65\/(-10))*0\/(-2). Suppose v*a + 2*a = -18. What is the hundreds digit of t(a)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*u**4 - 4*u**4 + 0*u**4 + (2 + 2 - 6)*(2*u**2 + 59 - 59)*(-5*u**2 + 3*u**2 + 3*u**2).\nAnswer: -2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 5771654 divided by 412261?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 2540339 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 4.859*-2\nAnswer: -9.718","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**(-1\/8)*p*p**(-2\/21)*(p*p**(-13)\/p*p)**(1\/56) assuming p is positive.\nAnswer: p**(95\/168)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2\/1505 or -1?\nAnswer: -2\/1505","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out -102 * 11.25.\nAnswer: -1147.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -63 + 163 + -20 + 2 + 2\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1339100 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Does 8260 divide 2384952708?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the second derivative of 0*m**6 + 17 + 0*m**2 + 1\/21*m**7 - 89\/20*m**5 + 2*m**3 + 1\/3*m**4 - m. Find the third derivative of i(p) wrt p.\nAnswer: 120*p**2 - 534","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**3 - n**2 - 6*n - 5. Let y(f) = 8*f**3 + f**2 + 11*f + 10. Let s(p) = -6*y(p) - 11*z(p). Let c(q) = -2*q**3 + 3*q**2 - 3. Give -5*c(l) + 3*s(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round 372.03 to the nearest ten.\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3*(-4 + 0 + sqrt(343))**2.\nAnswer: -1082 + 168*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) be the third derivative of z**5\/4 + z**3 - 21*z**2. Let p(a) = -60*a - 264. What is the remainder when m(3) is divided by p(-5)?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/28, -22, -6\/5, -2\/15, -0.6, -2.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 482 is divided by 110?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 15 = 0, 2*m + 2*z = 4*z + 18. Let y be 4*-3 + 8\/4. Calculate the remainder when y + 11 - -25*1 is divided by m.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 divided by -77.\nAnswer: -5\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -91*y + 67. Let b be g(-5). Let f = 530 - b. Solve -f*h = -4*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000011965238 to 7 dps.\nAnswer: 0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 246766581 is divided by 61691645?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 271.677507 - 272.8775. Let t = 24 - 22.8. Let v = c + t. Round v to 5 decimal places.\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 s and 1 h when two letters picked without replacement from {h: 1, s: 1, j: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -1 + 500 + -512\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1586790*v**2*z**3 + 30*v**2*z + 18271811*z**3 - 4*z**2 + 2*z - 2 with respect to v.\nAnswer: 3173580*v*z**3 + 60*v*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) be the third derivative of 3*a**2 - 2\/3*a**3 + 0*a**4 + 0*a - 1\/20*a**5 + 0. Differentiate n(c) wrt c.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -10 + 46787405\/2*o**3 + 11763185\/2*o**4 - 1059345\/2*o**2 + 7975\/2*o = 0. What is o?\nAnswer: -4, 1\/133","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 33 = -c + 9, f + 47 = -3*c. Let p = -15 - c. Is ((-6)\/6)\/(p\/127) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 34*f - 24. Let p(i) = 11*i - 8. Let k(b) = -7*p(b) + 2*r(b). Differentiate k(l) wrt l.\nAnswer: -9","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2 - -296. What is the lowest common multiple of 6 and t*(-1)\/(-8) + 2\/(-8)?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -50 (base 6) in base 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) be the first derivative of a**5\/5 + 13*a**4\/4 + 65*a**2\/2 + 2*a + 318. What is the second derivative of l(y) wrt y?\nAnswer: 12*y**2 + 78*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1001010110000100001 (base 2) to base 3\nAnswer: 120120001002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38887 + 38796. Let a = -0.05 + -0.25. Let p be (-6)\/(-30)*(-3)\/3. What is the second smallest value in p, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-5 + 4 - 4)*(0*p - 3*p + 0*p) + p + 2*p - 2*p)*(p**3 + 3*p**3 - 2*p**3) to the form o + x*p + j*p**3 + l*p**4 + b*p**2 and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 1801971646 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 29 and 358904.\nAnswer: 358904","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3652 + 9?\nAnswer: 365b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1 + 6. Suppose -m*a = 15, 3*a - 6 = 2*l - 273. What are the prime factors of l?\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -d + 4. Suppose -f + 22 = 5*q, -1 + 6 = -5*f - 2*q. Let b be 27\/2*2\/f. Is 12 a factor of s(b)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = -11*t**2 + 17*t - 4. Let x(f) = -12*f**2 + 17*f - 4. Let g(s) = -7*b(s) + 6*x(s). Let q be g(7). Suppose -3*a + q = -a. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((q\/q**(-4\/13)*q)\/q)\/((((q*q**(-2\/5))\/q)\/q)\/q*q*q))**(-2\/81) assuming q is positive.\nAnswer: q**(-74\/1755)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 + -8 + 15 + -27 + 12?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52 + 65*s - 132*s + 59*s + 44.\nAnswer: -8*s + 96","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ksksxw. Give prob of sequence xs.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 PM and 9:46 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-268)\/(-52) + (-4)\/26. Suppose -4*r + 8 = w - b*w, 3*w - 8 = -4*r. Solve -3*l - 4 = -5*l, 4*a - r*l = 16 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1101111010111111000101100 + -11?\nAnswer: 1101111010111111000101001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x**(-1\/12)\/x)*x)\/x)\/(x\/(x**(1\/40)\/x)))**(-2) assuming x is positive.\nAnswer: x**(-13\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 95*l + 19. What is a(-5)?\nAnswer: -456","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9.548 rounded to 1 dp?\nAnswer: 9.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(108) - sqrt(108)) + -2 + sqrt(108) + 1)**2 + -2.\nAnswer: -12*sqrt(3) + 107","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + sqrt(176) + -5 + (sqrt(132)\/((-1*sqrt(132) - sqrt(132))\/sqrt(11)))**2)*6.\nAnswer: -87\/2 + 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -3 - 4\/(-10)*(32 + 68). Solve -4*a - 20 = 0, 6*v - 5*a = 3*v + w for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4598 divided by -4598.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2dd8 - 5?\nAnswer: 2dd3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -7 - (-1 - -5 - 6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -1726062, -3452099, -5178108, -6904089, -8630042, -10355967?\n\"Answer: 14*g**2 - 1726079*g + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*w + 503*w = -631*w + 2218 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 31.5 - 31. What is the second smallest value in t, 5, -4?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven eighths of a meter in millimeters?\nAnswer: 1375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1015100 is divided by 101477.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = 14*n**2 - 4*n + 2. Let q(h) = h**2 - h + 1. Suppose 4351*l + 12 = 4348*l. What is l*q(i) + b(i)?\nAnswer: 10*i**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2265*v + 139237 = 167*v - 4308*v + 376259 for v.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*x - 3*x + 0*x)*(-5*x**2 + 5*x**2 - 2*x**2) + (-3*x + 1 + x + 0)*(0*x**2 + 4*x**2 - 5*x**2).\nAnswer: 8*x**3 - x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 46\/47618963 and 81\/3593884.\nAnswer: 190475852","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -128\/93 less than 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 566741.85 rounded to the nearest one thousand?\nAnswer: 567000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 292 = -2*n. Calculate the common denominator of (-1 - (-3339)\/(-198)) + 22 and (-2)\/7 - n\/224.\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 236 minutes before 1:37 AM?\nAnswer: 9:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -u**2 + 14*u**4 - 15*u**4 - u**2 - u - 2*u + 8*u**3 - 1 to the form q*u + p*u**2 + x*u**3 + v + y*u**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 83*v + 5773. Calculate w(-69).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) be the third derivative of -m**6\/120 - m**5\/6 - m**4\/4 - 3*m**3\/2 + 6230*m**2. Determine z(-9).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 + 24*(-1309)\/(-21) is divided by 50.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = o**4 + o**3 + o**2 + 1. Let t(q) = -6*q**5 + 2*q**4 + 5*q**3 + 5*q**2 - 50*q + 5. Let u(f) = 5*n(f) - t(f). Find the second derivative of u(g) wrt g.\nAnswer: 120*g**3 + 36*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 1 = 11. Suppose 0 = r*b - 21 - 27. What are the prime factors of b?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 3 and -159020.4.\nAnswer: -477061.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -83, -3, -68, -1 in decreasing order.\nAnswer: -1, -3, -68, -83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) be the first derivative of 6*f**2 - 45. Let g(s) = 7*s**2 + 6. Let t(r) = 6*r**2 + 5. Let z(u) = 5*g(u) - 6*t(u). Calculate h(z(w)).\nAnswer: -12*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -24*q + 12*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 10, -7333, 0, -8 in ascending order.\nAnswer: -7333, -8, -3, 0, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*f + 2*f + 0 + 1204*f**3 + 0*f + 7614*f**3 to the form n + u*f**3 + w*f**2 + j*f and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-42)\/(-19) + 2528\/(-12008). Suppose -3 + 1 = -m. Suppose -5*w + 8 + m = 0. Solve -b + w = -z for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = 0. Suppose -6 = c - g - g, -c + 5*g - 21 = r. Suppose 44 = c*p - 60. List the prime factors of p.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = 6*p + 7. Let d(j) = j**2. What is w(d(z))?\nAnswer: 6*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 9387 and 38997.\nAnswer: 5810553","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -5\/8 and 85\/192?\nAnswer: 192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -4*d + 3. Suppose 32*y = 33*y + 6. Let u(b) = 2*b**3 + 11*b**2 - 9*b - 15. Let g be u(y). Let r(w) = -13*w + 17*w - g*w. What is -j(q) - 5*r(q)?\nAnswer: -q - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 336*n - 47 = -47. Is 47\/115 greater than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 12*x = 27. Suppose -4*i - j - 4 = 23, -15 = 5*j. Let y = 10 + i. Sort y, -1, x, -5 in increasing order.\nAnswer: -5, x, -1, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is a4 - 1cd?\nAnswer: -129","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find t, given that 18*t**2 + 1635350*t - 363412 = 0.\nAnswer: -90853, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -5*g**2. Let t(p) = 9*p**2 - 6*p**2 + 10*p**2 - 53*p**2. What is w(t(j))?\nAnswer: -8000*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p**2\/5 + 4508*p\/5 - 31458\/5 = 0 for p.\nAnswer: 7, 2247","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 c and 1 v when four letters picked without replacement from {i: 1, v: 6, e: 1, c: 3, g: 1}?\nAnswer: 2\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1110001011010101111 (base 2) in base 8?\nAnswer: 1613257","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10 = 2*h, -5*a + h + 100 = -7*h - 0*h for a.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 366*x = 359*x + 63. Solve 5*w - 11 = x, -5*r = 4*w - 36 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -112757 and -0.04?\nAnswer: 112756.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b when three letters picked without replacement from {m: 1, b: 14}?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (11 - (26 + -22)) + -991*(-4)\/(-550) and -14\/275.\nAnswer: 275","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79811825.\nAnswer: 5, 31, 102983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 80 - 75. Suppose z*o + 8 - 89 = -3*m, 5*o + 4*m = 78. Suppose 4*n + 123 = 303. What is the highest common factor of n and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 28, 63, 108, 163, 228, 303, 388?\nAnswer: 483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the first derivative of 21 - 2\/3*u**3 - 1\/2*u**4 - 79\/2*u**2 + 0*u. What is the second derivative of d(z) wrt z?\nAnswer: -12*z - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -r**3 - 508 + 1022 - 515 + 763*r as v*r**3 + x + m*r**2 + h*r and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 8034 and 16480.\nAnswer: 206","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 297040 and 59408?\nAnswer: 297040","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(-28))\/(464545\/245420).\nAnswer: -3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r and 1 o when two letters picked without replacement from opfrfnrn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -31 + 141. Suppose r = -h + 3*h. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 453807294.\nAnswer: 2, 3, 37, 43, 137, 347","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -222 - 674 = -4*m. Let o = m - 74. Let p = 229 - o. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2400\/6820 + 1650\/8525?\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 107\/48 and 11\/72.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (84\/(-70))\/(2\/(-10)). Suppose 92 = z*f - 2*f. Suppose 3*s = -h + f, -h - 6*s + 31 = -s. Solve 5*k + 25 = -5*l, l + 4*k + h = 6*l for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4 - -1 - 0) + (-8 - -4).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y, 1 t, and 1 w when three letters picked without replacement from yywytwwww.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-14)\/7*(-1)\/(-21)\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1075?\nAnswer: 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 + 4. What is the biggest value in r, -2, -1?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -i**3 + 4*i**2 + 3*i + 8. Let m be p(5). Let x be (0 - m - -7074)\/(12 + -10). What is x rounded to the nearest 100?\nAnswer: 3500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = 4*b**3 - b. Let s be j(1). Suppose s*n - 95 = 10. Is n a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 52\/1539 and -17\/499122?\nAnswer: 9483318","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -342 - -346. Let x(u) = u**2 + 7*u + 9. Let b be x(-6). Suppose -2*h = b*h - 55. Solve -l*y - h = -3*v + 3, 2*y = 5*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*m - 32 = 4*m. Is 16 at least as big as m?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10898?\nAnswer: 2, 5449","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -471 = -3*t - 2*p - 458, -2*t + 17*p + 28*p - 198 = -57*p for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 290 is divided by 96?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9103581?\nAnswer: 3, 1011509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.4 in 0.1, 0.06, 2, 45?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many days are there in 1.0770495 hours?\nAnswer: 0.0448770625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v = 2*o - 6, -4 = -4*v - 30*o + 34*o for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -9, -1, -2, 3, 5 in descending order.\nAnswer: 5, 3, -1, -2, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1991 = 11*i + 6050. Is -729 smaller than i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find p, given that -385*p**4 + 3082*p**3 - 4251*p**2 - 7678*p + 40 = 0.\nAnswer: -1, 2\/385, 4, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 272 and 1208.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - -0.3. Let u = 7.1 - 7. Let s = 415 - 418. Put s, p, u in ascending order.\nAnswer: s, u, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -3*g - 9151. Let m(d) = d. What is n(m(k))?\nAnswer: -3*k - 9151","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 16 = -10. Let p be -14*x\/24 - 2\/(-3). Let j be 6\/8*(-4)\/(-18). What is the third biggest value in p, -2, j?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(104) + 3*(sqrt(104)*2 - sqrt(104)))\/(sqrt(88)\/(sqrt(11) - sqrt(44)) - sqrt(8)))**2.\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 954 and 12816?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-24)\/16)\/(21\/(-70)). Suppose -5*o - 4*n = -5*n - 2954995, f*o + n = 2955005. What is o rounded to the nearest ten thousand?\nAnswer: 590000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in five eighths of a microgram?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -105 + 96 + 39 + -2 + (2 - -2)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 + 1 = -2*b + 2*w, 0 = -b - 5*w - 10. Let h be -1*(-243)\/(-9)*1\/(-3). Solve -z - b = -3*u + 2*u, z - 5*u = -h for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 4*q + 30, 4*x - 42 = -3*q + 2*q. Suppose 8*v - 174 = -50*v. Solve x + 4 = v*a for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -203*k**2 - 2*k + 1. Let v be i(1). Suppose 2*z + 3 = 11. Let o be (-27)\/v - 1\/z. Which is the closest to 0? (a) 0 (b) o (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-63)\/(-102))\/((-450)\/(-1275)) - ((-300)\/112 + -1)?\nAnswer: 38\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 253692.\nAnswer: 2, 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41113 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 4583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*f + 9 = 12*f, -4*u + 4*f = -8. What is the nearest to u in 5, 0.3, 3, -10?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 306 = -q + 3*x, -4*x = 0. Suppose -62 = -2*d + f, -3*d = 4*f - f - q. Calculate the highest common divisor of d and 24.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) be the third derivative of 27*w**2 + 0*w + 1\/20*w**6 + 0*w**5 + 0*w**3 + 0*w**4 + 0 + 5\/112*w**8 + 1\/10*w**7. Determine o, given that n(o) = 0.\nAnswer: -1, -2\/5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13537, 12888, 12243, 11602, 10965?\nAnswer: 10332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*k**2 + 3*k**2 + 3*k**2)*(-k + 4*k - k) + (60*k - 39*k + 37*k)*(-2*k**2 + 0 + 0) + 8*k**3 + 2*k**3 + 9*k**3.\nAnswer: -93*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the third derivative of g**5\/30 + g**4\/12 + g**3\/6 - g**2. Let l be r(-1). Let i = -4.5 + 5. What is the closest to l in 0.2, i, 0.1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(p) = 15069*p. Let l(w) = -5*w**2. Give l(h(b)).\nAnswer: -1135373805*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 26.029 - 26.5. Let q = -0.4459 - f. Round q to three dps.\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = 18*l**2 - 1. Let q(n) = 2*n**2. Let s(o) = -8*o**2. Let u(z) = 3*q(z) + s(z). Give u(f(t)).\nAnswer: -648*t**4 + 72*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -644\/5757 + 2\/303. Let m = -0.3 + 0.2. Which is the closest to 1? (a) x (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -35471 rounded to the nearest 1000?\nAnswer: -35000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:33 PM and 4:06 PM?\nAnswer: 153","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the second derivative of -91*w**3\/6 - 6*w - 10. Let t(j) = -4*j. Give t(z(s)).\nAnswer: 364*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2 - 0.16. Let r = 0.44 - p. Let o = 2281.37 + -2285.37. Which is the second biggest value? (a) r (b) o (c) 2\/7 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = b + 6 - 32. Suppose -n = -56 + b. What is the remainder when 56 is divided by n?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 minutes before 11:17 AM?\nAnswer: 9:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 4085423 a multiple of 409?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - -11286?\nAnswer: 11288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-60)\/270 + 146\/9. Suppose 0 = -20*b + 28*b - k. Solve -b*h = 3*h - 2*i + 28, 0 = -5*h + 3*i - 32 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 74\/(-3) - (-2)\/(-6). Let i = -21 - t. Suppose u + i - 5 = 0. Which is bigger: 17 or u?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 2 - 38?\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 86.988 litres?\nAnswer: 86988","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1859546975 to the nearest integer?\nAnswer: 1230","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z**2*z*z**(-2\/7))\/((z**(-2)\/z*z)\/z*z**6\/z))\/((z\/z**1)**(-4)*(z**1)**17) assuming z is positive.\nAnswer: z**(-114\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 15*c**2*m**2 - 11*c**2*m - 42*m**2 wrt c.\nAnswer: 30*c*m**2 - 22*c*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find s such that 3*s**4 - 69*s**3 - 72*s**2 = 0.\nAnswer: -1, 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d - d + 5*o = -81, -2*d - 5*o = -29. List the prime factors of d.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 36 a factor of 2160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -60 - -90. Suppose x + 2*q = 3*x - 42, 75 = 4*x + 5*q. Calculate the highest common divisor of x and v.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(630) - (sqrt(630) - (sqrt(630)*2 + sqrt(630))*4)) + 5*-2*sqrt(630))\/(sqrt(30)\/(sqrt(135)\/sqrt(5))) + -2.\nAnswer: -2 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -24357, -48155, -71949, -95739, -119525, -143307?\n\"Answer: 2*t**2 - 23804*t - 555","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1370, -1357, -1344, -1331?\nAnswer: -1318","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -387 + 657. Suppose 12*y = 2*y + z. Let g be (-1035)\/y*(0 + 1 + -841). What is g rounded to the nearest one thousand?\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -2*u**2 - 41*u - 5. Let r be m(-20). Calculate the greatest common factor of 4285 and r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 9 = -2*o - 19, 13 = -3*o + 2*g. Let i(h) = 28*h + 203. Let w be i(o). Suppose 3*r - 8 = -t, 2*r + 7 = t + 4*r. Solve w*k = 2*k + t for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 317349 = -22*f. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-2\/9)*a**(-6))\/(a\/a**3*a**(-6)))\/((a*a\/(a\/(a\/a**(-4)))*a*a\/((a**(1\/6)\/a)\/a)*a)\/(a**0*a*a**(-2\/25))) assuming a is positive.\nAnswer: a**(-3661\/450)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/24 + (-82)\/88 + 23\/(-3795)*-30.\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m + 1. Let o(l) = l + 1. Let g be 3\/(-2)*20\/(-6). Let r(c) = -2*c - 7. Let v(j) = g*o(j) + r(j). What is 5*u(a) + 4*v(a)?\nAnswer: 2*a - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*c - 4*h + 88, 21*c - 8 = 20*c - 4*h. What is the highest common divisor of 190 and c?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zyzzyyyyyyyzzy. What is prob of sequence yyy?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(2\/3))\/m**(-1\/13)*m*m\/(m\/(m**15\/m))*m**15\/m)**(5\/2) assuming m is positive.\nAnswer: m**(5995\/78)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the third derivative of -x**8\/56 - 11*x**7\/105 - 8*x**5\/3 + 3*x**2 + 60. What is the third derivative of f(c) wrt c?\nAnswer: -360*c**2 - 528*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 1\/3 (b) -1 (c) -1\/7 (d) 0.06 (e) 306\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -879951 - -879947.000056. Let h = 4 + b. Round h to five decimal places.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*k + 33*k - 7*k)*(4 - 2 - 3)*(2*k**2 - 5*k**2 + 5*k**2).\nAnswer: -38*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 81 - 98 - (3 - -4)\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(832))*-3 + sqrt(832) - (-5 + sqrt(1872)*2) - ((sqrt(1872) - 1*sqrt(1872)) + 1 + (sqrt(1872) - -1*sqrt(1872)) + -3))**2.\nAnswer: -512*sqrt(13) + 53264","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from nyjsu. What is prob of picking 1 n and 1 j?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34\/(-51) - 1646\/(-3).\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine r, given that -r**4\/8 - 3181*r**3\/4 + 182706*r**2 = 0.\nAnswer: -6584, 0, 222","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 14) to base 8.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = t + 2*u, 3*t - 1 = 5*u - 19. Let x = t - 0. Let q be 2*(-1 - -1 - x). Sort q, -4, 3 in descending order.\nAnswer: 3, q, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (h**2 - 3*h**2 + h**2)*(2 + 3 - 4)*(-702 + 456 + 1711 + 878).\nAnswer: -2343*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*o = 23*o + 4. Suppose -y = o*x - 3602, y = -x + 616 + 283. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -10615.372944 and 8.7.\nAnswer: -10606.672944","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5 in 2\/327, -11, 1\/4?\nAnswer: 2\/327","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 138311 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 744868, 1485738, 2226610, 2967484?\n\"Answer: w**2 + 740867*w + 4000","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 26*h + 23*h - 45*h. Let l(a) = a**2 - 2*a**2 - a**2. Determine l(i(c)).\nAnswer: -32*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -298*b + 28 + 1164 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is s in 393*s**3 + 2364*s**2 + 2001*s + 30 = 0?\nAnswer: -5, -1, -2\/131","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 49*h + 334 - 89 = 0 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v - 137 = g, 65 = 5*v + 2*g - 66. Let j be v*(6\/9 - 0). Let u = j - 6. What is the tens digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -282 - -441. Is t a multiple of 41?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = 2*t**2 + 683 - 8*t - 680 - 3*t**2. Calculate the remainder when x(-7) is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-23)\/(-2)*2238\/8579. What is b in 9*b**f - 98 - 109\/2*b**2 + 126*b - 1\/2*b**4 = 0?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14448 + -14442. Solve 2*a - 20 = -5*y, 0 = 7*y - k*y + a - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p + p**2 + p**2 - p**2)*(12931 + 146*p**2 - 12931).\nAnswer: 146*p**4 + 292*p**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 438 + 234 = 28*m. Calculate the remainder when 619 is divided by m.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -131843543 divided by -481.\nAnswer: 274103","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -2*b + 60. Let g be v(0). Suppose -3824*x + 3814*x = -40. Which is bigger: x or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(152) - 5*-3*sqrt(152))\/sqrt(8) - -2*(sqrt(2736) - (sqrt(2736) + 1 + sqrt(2736))).\nAnswer: -8*sqrt(19) - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k = 5*j - 41, -1 = 3*k + 11 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bbb when three letters picked without replacement from {b: 7, d: 3}.\nAnswer: 7\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the third derivative of 7\/60*t**5 - 3*t**2 - 5\/6*t**3 + 0*t - 5\/12*t**4 + 0 + 1\/120*t**6. Is l(-7) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -4\/3, -5, -3.3, 4?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3504*x - 4202*x - 9074 for x.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4005?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000017007 rounded to 6 decimal places?\nAnswer: -0.000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put 388, -16, -23 in descending order.\nAnswer: 388, -16, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 28*b - 31*b - 9 = 0. Let z(u) = 2 + u - 3*u - 5. Determine z(b).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -12 + 11. Let l = 1590.1 - 1590. Sort 55, m, l in increasing order.\nAnswer: m, l, 55","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*o**2 + 2961*o + 8910.\nAnswer: -3*(o - 990)*(o + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -6377 - -6467.51. Let n = -91 + b. Round n to 1 dp.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1714 * 18.3\nAnswer: -31366.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1465453.\nAnswer: 11, 127, 1049","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 27 (base 11) to base 14.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-4)\/(-4*(-3)\/(-24)). Solve i - x*i - 21 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.3 - 48.26. Let l = 44 + t. Let i = l - 1.03957. What is i rounded to four dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) 0.1 (b) -0.3 (c) -1 (d) -27 (e) -51\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 2 + -4. Let y = g - -1.9944. What is y rounded to 3 decimal places?\nAnswer: -0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 12*j**2 - 1. Let a be r(1). Let q(t) = 4*t + 3. Is q(a) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = n**3 - 8*n**2 + 2*n + 20. Determine y(7).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -10.3695701 rounded to 1 decimal place?\nAnswer: -10.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6 - (-2 - 10)) + -8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3261 - 1644. Suppose k = 11*f - 2541. List the prime factors of f.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 5) to base 15\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -874.15 + 93.95. Let o = -848 - z. What is o rounded to zero decimal places?\nAnswer: -68","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1920192.\nAnswer: 2, 3, 73, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5904 + 216 = -15*m. Let d = m - -740. Is d a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 divided by -140.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -3*l**3 - 19*l**2 + 5*l + 9. Let n(u) = u**3 + 9*u**2 - 2*u - 4. Calculate 9*n(k) + 4*v(k).\nAnswer: -3*k**3 + 5*k**2 + 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*f**2 + 18*f**2 - 3*f**2.\nAnswer: 39*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) be the second derivative of f**5\/70 + 2*f**4\/21 - f**3\/3 - 10*f**2\/7 + 183*f. Let d(a) = 0. What is a?\nAnswer: -5, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 264*y - 527*y + 271*y - 104. What is the remainder when y is divided by 80\/14 + 6\/21?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -7 + 13. Suppose g*a = 4*a + 4. Suppose -m = -3*m + a. Let f(o) = 4*o**3 + o**2 - 1. Give f(m).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 55?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 15*q - 8*q - 658. Let v(y) = -1 + 5*y**2 - 92*y + y**3 + q*y + 0*y**3 + 4. Calculate v(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -186906*y**2 + 326*y + 315*y - 641*y + 186910*y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by 49182692?\nAnswer: -1\/24591346","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8829 is divided by 192?\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*v - 26 - 112 = 0. Solve v*x = 2*x - 12 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine k, given that -3*k**3\/5 + 6832*k**2\/5 - 3887407*k\/5 - 2594642\/5 = 0.\nAnswer: -2\/3, 1139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 122*q + 88*q - 17802 = -177*q for q.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -23*(-3)\/(-6)*-2. Let w = 294 - 150. Let h = 328 - w. Calculate the highest common divisor of h and u.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 1\/(-3)*(1 - 7). Let y(d) = d**2 - 2*d**2 + i*d**2. Let h(g) = -9*g - 5. Let l(c) = -5*c - 3. Let s(a) = -3*h(a) + 5*l(a). What is y(s(u))?\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 174892 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*g + 5*j + 65, 3*j = g - 2*j - 25. Let a = 4 + -2. Suppose a*s - 3*s = -22. What is the smallest common multiple of g and s?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 16) in base 9?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 5*t - 6*t + 8*t - 3*t. Let u(q) = -5*q**2. Give u(m(k)).\nAnswer: -80*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1313 (base 10) to base 12.\nAnswer: -915","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y**3 - 3*y**4 - 6*y**3)*(1 - 2 + 4 - y).\nAnswer: 3*y**5 - 9*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 137144 a multiple of 553?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(t) = -t**3 - 6*t**2 - 2*t - 6. Let k be d(-6). Calculate the greatest common factor of k and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13 - -18. Let w(c) = -2*c**3 + 31*c**2 - 9*c - 85. Let x be w(15). Calculate the highest common divisor of x and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -q - 9. Let t(r) = -r**3 - 7*r**2 - 5*r + 2. Let o be t(q). Sort 3, o, 5 in increasing order.\nAnswer: o, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = 2*n**3 + 14*n**2 + 15*n + 12. Let r be g(-6). Let d = -38 - -57. Let s be d\/(-10) + (r\/10 - -1). What is the closest to -0.1 in s, 5, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 11*k**2 - 67*k + 538. Let s be v(7). What is s rounded to the nearest ten?\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 750*i + 270449 - 270449.\nAnswer: 750*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1182 to the power of 1\/3, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-32)\/14*3\/(-12). Let k = -1395 + 1398. Which is the biggest value? (a) t (b) k (c) -19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 184\/(-18) + (-300)\/(-1350)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -27 minus 1509?\nAnswer: -1536","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.64 - -1.14. Let z = -5 - -3. What is the second smallest value in 2, x, z?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -y - 94 = 4*c, 4*y - 108 + 1 = 7*c - 2*c for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -117 - -124. List the prime factors of (-2)\/a - 13140\/(-28).\nAnswer: 7, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2034 + -2034. Which is bigger: v or 98?\nAnswer: 98","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2028910*v - 91 = -2028909*v for v.\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 194651?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2273922860 + 196.\nAnswer: -2273922664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 4375*b + 22379. Calculate x(-5).\nAnswer: 504","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 27 and 3429.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) be the third derivative of 1\/12*b**4 + 19\/360*b**5 + 0*b + 0 - 17\/6*b**3 - 3*b**2 + 1\/360*b**6. Let j(q) be the first derivative of n(q). Factor j(l).\nAnswer: (l + 6)*(3*l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -5 - -44. Suppose -w - p = -145. Is 10 a factor of w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -118*w - 533. Let a(c) = 40*c + 177. Let p(o) = -17*a(o) - 6*i(o). Differentiate p(v) wrt v.\nAnswer: 28","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -501 or 2617?\nAnswer: -501","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 41966 to the nearest integer?\nAnswer: 205","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + 18*a**2 + 16*a + 65. Let i be k(19). Solve 3*g - 20 = -p, -5*g + i*g + 3*p = 24 for g.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = b**3 + 4*b**2 + 2*b - 1. Let c be t(-2). Suppose c*h = 3*w - 39, -30 = -2*w - 0*w + 3*h. Solve 6*n + w = 2*n - l, 3*l - 5 = 4*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 46884 smaller than 46881?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -316*t + 346*t = 150. Which is the nearest to -0.01? (a) -2 (b) 2 (c) -36 (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1512333308.\nAnswer: 2, 378083327","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -50 + -33. Let b = -83.1 - m. Which is bigger: b or -32?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -31 * -0.364817.\nAnswer: 11.309327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f + 119 = 47. Suppose -58535 = f*a + 5*a. What is a rounded to the nearest one hundred?\nAnswer: -2500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 3907410 by -6058.\nAnswer: -645","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {t: 7}. Give prob of picking 4 t.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 297 in 0, -0.4, -3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 9*o**6 - 5*o**4 + 4*o**2 - 85 wrt o.\nAnswer: 1080*o**3 - 120*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.13, 0.5, -1\/6 in increasing order.\nAnswer: -1\/6, -0.13, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 7146 or 7148?\nAnswer: 7148","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1974319?\nAnswer: 1974319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 11593, 11591, 11589, 11587, 11585?\nAnswer: 11583","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = -5*k - 5*j - 10, -j - 5 = 3*k. Suppose -4*i + 10*i - 12 = k. Suppose 4*f = 5*m + 41, -f + i*m = -0*f - 8. Is f a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 30*h**2 + 393*h = 0. What is h?\nAnswer: -131\/10, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-16)\/40)\/(1\/25). Is ((-191)\/5)\/(h\/50) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 32\/(-12)*(-5)\/30?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 0*d**2 + 3*d - 3 - 13 + 2*d**2 + 1. Let t be x(-10). Suppose 154*k = t*k - 85. Is 22 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = b**2 + 2*b - 1. Let f(x) = 3*x**3 + 38*x**2 - 8*x + 4. Calculate -f(d) - 4*u(d).\nAnswer: -3*d**3 - 42*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-472)\/(-118))\/(-1*2\/2).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*y - 19*y = i - 3, 5*y = 2*i + 7. Let x(a) = 26*a + 1. Let h(s) = -1. Give y*x(u) + h(u).\nAnswer: 26*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 558 - 555. Suppose -3*q + 1 = -2*q. Which is the nearest to q? (a) 2\/15 (b) 1\/2 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q\/(q*q**0\/q*q)*q*q*(q\/q**0)\/q*q*((q\/(q*q**7)*q*q)\/q)\/(q\/q**7) assuming q is positive.\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {z: 7, q: 1, u: 1, c: 4}.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 2, z: 1, p: 4, s: 2}. Give prob of sequence pns.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b + 62*f = 60*f - 7, 2*f + 84 = 82*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.16338 plus 9.2?\nAnswer: 9.36338","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in 3, 2\/9, 7\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be -3 + 0 - (-3 + -30). What is the tens digit of 5802\/x - 2\/20*4?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9561615?\nAnswer: 3, 5, 7, 13009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 - ((-44 - -54 - (60 + 1)) + 9).\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 832118.4+-73\nAnswer: 832045.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 2678?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 402076 divided by 100519.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + 80 = 4*y, -25 = -y - 5*t - 5. Does 6 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 0\/(-1) + 0 + 2. Let t(z) = z - a*z + 2*z. Let j(k) = 5*k**2 - 91305 + 91305. Give t(j(o)).\nAnswer: 5*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 250 is divided by 33?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) be the third derivative of -l**4\/12 - 173*l**2 - 3*l. Let m(q) = -414*q**2. Determine t(m(w)).\nAnswer: 828*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 7*h**3 - 5*h + 1. Let w be g(5). Let n = w + -11. Let f = n - -347. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 55 (base 11) in base 8?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 335304?\nAnswer: 2, 3, 4657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -7 - -11 - (-14)\/(-2)*-1. Let x(p) = p**3 - 8*p**2 - 21*p - 29. What is the remainder when x(c) is divided by 28?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 3*i*u**2*w**2 - 3*i*u**2*w - 33*i*u*w**3 + 12*i*w**3 + 2*u**2*w**3 + 3*u**2*w**2 + 10*u**2 wrt w?\nAnswer: -198*i*u + 72*i + 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -q**2 - 9*q + 8. What is u(-11)?\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 12, 389, -3, 2, 10, 3 in ascending order.\nAnswer: -3, 0, 2, 3, 10, 12, 389","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 12) to base 16.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 37737901\/5 greater than 7547579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand 8*b**5 + 2*b**5 + 11*b**5 + 3*b - 2*b**5 - 3*b + (3 - 4 - 1)*(-b**5 - 2*b**5 + 4*b**5) + (4 - 4 + b**2)*(-b**3 + b - b) + 5*b**5 - 3*b**5 + 2*b**5.\nAnswer: 20*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) = 2*n**2. Let i(g) = -g**2 + 12*g + 2. Let r be i(11). Let q(o) = -31*o**2 + r*o**2 + 11*o**2 + 9*o**2. Give q(j(f)).\nAnswer: 8*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 7, 10.3, -1\/2, -4?\nAnswer: 10.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3329 (base 10) to base 11.\nAnswer: -2557","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43273?\nAnswer: 109, 397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 135853 to the nearest integer?\nAnswer: 369","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 6*p = -6*p. Solve p*n = -n, -2*h - n = 4 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 divided by -14?\nAnswer: -13\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 534 is divided by 229.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = 5*w + 48 - 268, -72 = -a - w. Let q = a - 68. Sort 15, 4, q.\nAnswer: q, 4, 15","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*y - 6 = -4*v + 6, 5*y = 2*v + 29. Is (y*3)\/((-6)\/(-4)) a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.5 + 0.07. Let t = -6.57 + s. Let b = t + 5.71. What is b rounded to one dp?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 267943133.\nAnswer: 89, 3010597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 1 h when two letters picked without replacement from {n: 1, f: 1, s: 3, q: 3, h: 2}?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = 1275*i**2 + 5*i + 2. Let h be k(-2). Suppose 4*n = 6*n - h. Suppose -3*z = 5*t - 25258, -2*t + 7558 = 2*z - n. Is t a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 44 + -45. Let v(q) = -4*q + 1. Let x(k) = k. Give h*v(o) - 3*x(o).\nAnswer: o - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-12)*(j*j*j**(-14)\/j*j)\/j)\/(j\/(j\/(j**(-1\/12)\/j)*j)*(j\/((j\/((j\/(j*j**(4\/5)))\/j))\/j)*j)\/j) assuming j is positive.\nAnswer: j**(-1327\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**2 - 1277*i - 177767. What is d(-1118)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 7359722 divided by 50\nAnswer: 3679861\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 6618, 6242, 5862, 5478?\nAnswer: 5090","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vbbnbtntb. What is prob of sequence bt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -2\/31, -6, -3\/2 in ascending order.\nAnswer: -6, -3\/2, -2\/31, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -89 + 101.4. Let f = 12.3 - d. Which is smaller: 139 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_test"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 10.2.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i + 5*v - 416 = -391, 5*v = 15. Let z(d) = -d**3 + 6*d**2 + 9*d - 2. Let o be z(7). Solve -3*p + 4 + 2 = i*c, o = 3*p for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -82561643.2 rounded to the nearest 10000?\nAnswer: -82560000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-c**2 + 4*c**2 - 2*c**2)*(-c + 0*c - c) - 39 + 39 - 12*c**3 - c - c**3 + 0*c + 0*c + (-3 - 2*c + 3)*(-c + c + 2*c**2).\nAnswer: -19*c**3 - c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 201 = -2*g. Suppose 4*w + 36 = -c, -4*c - w - 68 = 91. Let z = c + g. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 794288 - -0.4.\nAnswer: 794288.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 682 minutes after 11:39 PM?\nAnswer: 11:01 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 119.4308 kilometers in nanometers?\nAnswer: 119430800000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1302*c*v**2 + 1084*c*v + 1955*v**2 - 7537*v + 1 wrt v?\nAnswer: 2604*c + 3910","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 456847.\nAnswer: 31, 14737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 387976\/3 (b) 0 (c) 2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = 0*z + 10*z - z. Let h(j) = -1 - 6*j**2 - 4 - 4*j + 3*j + 6*j. Let f(a) = -a**2 + a - 1. Let r(u) = 5*f(u) - h(u). Determine r(y(n)).\nAnswer: 81*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = 9*l - 23. Calculate the least common multiple of 55 and z(5).\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 1 + 2*m - 3)*(3 + 8 - 6) - 2*m + 0*m + 0*m)*(1 + 2 - 2).\nAnswer: 8*m - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 29949.9976171 - 29950. What is z rounded to four decimal places?\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 27\/2 of a milligram in micrograms?\nAnswer: 13500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/13 (b) -0.02 (c) 1\/170\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = -15*n + 4*n. Let a = 5 + n. Suppose v - 267 = -a*h, 5*v = -3*h + 300 - 87. What are the prime factors of h?\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = 8*n + 3. Let b(d) = -25*d - 9. Let y(f) = 3*b(f) + 8*x(f). Let s be y(-2). Let v = s - -53. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - 4. Let k = 5 - -2. Let t = k + d. What is the units digit of t?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 4, 11, 2, -4\/15, 130?\nAnswer: 130","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = -2*d**3 + 6*d + 13. What is p(-4)?\nAnswer: 117","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-3*(-6)\/4. Let m(f) = -b*f - 45*f**3 + 16*f**2 - 55*f**3 + 1 + 99*f**3. Is m(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-19*d - 9*d + 9*d)*(1 - 1 - 3*d).\nAnswer: 57*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o - 371 = -o - l, -5*l - 341 = 3*o. Let y = o + 214. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 30152202 a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 3*g. Find o such that g*o + 0*o**2 + 0*o**4 - 2\/9*o**5 + 2\/9*o**3 + 0 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 42759 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = 0 - 63*c + 11*c - 1 - 63*c. Let z(r) = -2*r + 5*r - r. Calculate z(a(j)).\nAnswer: -230*j - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 5*v. Let l(y) be the second derivative of y**4\/6 - 4*y. What is j(l(u))?\nAnswer: 10*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345 = 215*s - 53*s - 141. Solve 3*g + s*t = 3, 3*t + 14 = 2*g + 42 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -1800 greater than or equal to -1801?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 83534795\/56434144 - 5660\/3809. Find the common denominator of -87\/4 and x.\nAnswer: 14816","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 190 - -16. List the prime factors of b.\nAnswer: 2, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -731*t**2 + 24*t + 3. Let s(z) = 487*z**2 - 15*z - 2. What is 8*s(g) + 5*u(g)?\nAnswer: 241*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w, 1 m, and 2 b when four letters picked without replacement from {m: 5, o: 6, b: 3, w: 1, e: 2}?\nAnswer: 3\/476","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by 373840.\nAnswer: -1\/37384","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.002239 to 4 dps.\nAnswer: 0.0022","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 16995403?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -224824, -224822, -224818, -224812, -224804, -224794?\nAnswer: -224782","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 13076590?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -9693*t**3 + 3*t**2 + 4184*t - 2?\nAnswer: -58158*t + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1026 and 38.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.05 - -39.95. Let i = -34 + t. Let d = 1 - 0. Is d at most i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 37*p - 1. Let z be b(1). Suppose 33*f - 8 = 31*f. What is the highest common divisor of z and f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 12 = 3. Let r = t - -3. Let n(s) = -s + 1 - 2 + r*s + 6*s**2. Give n(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = 59*j - 1946. What is l(33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -3605 + 3641. Calculate the smallest common multiple of 48 and u.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6b56a - -1?\nAnswer: -6b569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -3260, -6541, -9824, -13109?\n\"Answer: -b**2 - 3278*b + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 21452667 to the power of 1\/3, to the nearest integer?\nAnswer: 278","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 2.051243 tonnes?\nAnswer: 2051243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/9 in 0.13, -3, -3\/4, -2, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 - 67. Let v be g\/(-6) - (-4)\/(-12). Suppose -25 = -2*s - v*s. Does 2 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -313\/667, -4, -15, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 6820 and 330?\nAnswer: 20460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 5059 * 0.78\nAnswer: 3946.02","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3 and 23518?\nAnswer: 23521","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-17)\/(-5) + (-2)\/5. Let d = -3 + g. Suppose d*n + n = 21. Is 13 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -7 - -9. Solve 0 = 5*c + p*b - 20, -b + 1 = 2*c - 7 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 110099, 220233, 330367, 440501, 550635, 660769?\nAnswer: 770903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k - 24735 = -s + 5919, -k = s - 30648. List the prime factors of s.\nAnswer: 2, 5, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1689000 a multiple of 375?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -16490*u - 263805. Calculate m(-16).\nAnswer: 35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**0*l\/(l\/(((l*l**2)\/l)\/l)))\/(l**(-2\/7))**(1\/13)*(l*l**(1\/2))**(9\/7)*(l\/(l\/(l**(-1)*l))*l)**32 assuming l is positive.\nAnswer: l**(6361\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-280 - -270) + (-2 - -29)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 17507*i**2 + 30768*i.\nAnswer: 35014","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -18069971, -18070014, -18070057?\nAnswer: -18070100","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -4*w - 6. Let k be y(-4). Let t = -8 + k. Let r = -2 - -2. Solve 0 = -r*z + t*z - 10 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**4 - 12 + 4*z**3 - 3*z**2 + 0*z + 9*z**2 + 4 - 8*z.\nAnswer: -2*(z - 2)**2*(z + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 2.0023 * 0.07.\nAnswer: 0.140161","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.2 - 0.3. Let u = -205.997 + 206.007. What is the nearest to u in 1, 5, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**2\/9 + 6483902*y\/9 + 12967780\/3.\nAnswer: 2*(y + 6)*(y + 3241945)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-1560)\/234)\/((-5)\/12).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many microseconds are there in 338.6178 hours?\nAnswer: 1219024080000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 94\/(-8) + 4\/(-16). Let q = -8 - n. Solve -2*x = q*k - 20, 0 = -x - 2*x for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -588.0915 - -0.0915. Let r = n + 587.99701. What is r rounded to three decimal places?\nAnswer: -0.003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -27436 + -1?\nAnswer: -27437","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2 + -6 - -8)*-1. Which is the biggest value? (a) 2\/7 (b) 0.1 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -171 + 175. Is 22 a factor of ((-154)\/(-4))\/(c + (-105)\/28)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1\/((2\/(-2)*5)\/1)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) be the second derivative of b**4\/12 - 2*b**3 + 23*b**2\/2 + 6*b. Let m be i(10). Solve m*r = -2 - 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 15 + (24 + -28 + 42 - 51)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c and 1 y when two letters picked without replacement from {c: 5, y: 14}.\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 8 = 2*x. Suppose -x = 4*r - 5*r. What is the units digit of r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -199? (a) -0.008 (b) 175 (c) -3 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 137 minutes after 3:27 PM?\nAnswer: 5:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 3\/(-6) - 294\/(-54) and -49\/33.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**2 - 7*p + 5. Let k be c(7). Let h(b) be the third derivative of -b**2 + 0*b - 1\/54*b**4 + 0 - 1\/27*b**3 - 1\/270*b**k. Factor h(v).\nAnswer: -2*(v + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**2\/7 + 11059850*j\/7 - 44239368\/7.\nAnswer: -2*(j - 5529921)*(j - 4)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes before 9:30 AM?\nAnswer: 7:24 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 3 m when four letters picked without replacement from jeemjmeemmmmjmejjm?\nAnswer: 14\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(242)*-1 + 4 - sqrt(242)) + -3)*2)**2.\nAnswer: -176*sqrt(2) + 3876","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*u + 7 + 63. Suppose 4*z - 22 = -10. Let p = 6 + -1. Solve 0 = -p*f - 4*w + 24, -z*f - 4*w + u = -6 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = 384 - 364, -113645 = -4*j - 5*d. What is the hundreds digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -143*a**3*y + 251*a**3 - 4*a**2*y - 2214*a*y - 122*a wrt a?\nAnswer: -858*a*y + 1506*a - 8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3 - 23*y**2 + 602*y**2 + 332*y**2 + 170*y**2 + 3056*y**4 wrt y.\nAnswer: 73344*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 - -12031610?\nAnswer: 12031613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -3*a + 27. Let b be u(5). Solve r - b = 4*r for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**0*t)**(8\/7)*(t*((t*(t*t\/t**1*t)\/t)\/t)\/t*t*t)**32*(t**2)**(-45)\/(t\/(t*t\/(t\/(t\/(t\/(t**(1\/2)\/t)*t)))))**(-47) assuming t is positive.\nAnswer: t**(1087\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m - 9 = 3*z, 9*m - 78840*z = -78844*z - 17 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1041a - 5?\nAnswer: 10415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-8)\/(-16)*-2 + 11. Suppose 0 = 11*d + 2 - 24. Solve d = 4*g + s for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bqbv when four letters picked without replacement from qiadabdiiqvbaa.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -643258329 divided by -21?\nAnswer: 30631349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 4, k: 4, u: 3, q: 4, o: 4}. What is prob of picking 1 q and 1 k?\nAnswer: 16\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 6 + 0 + p**5 + (p**4 + 0*p**4 + 0*p**4)*(p + 0*p - 3*p).\nAnswer: -p**5 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 841 + -841.0007792. Round c to 4 dps.\nAnswer: -0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of 0.3 and -1025994.\nAnswer: -1025993.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.1 + -5.1. Let z = 0.10148 - -0.29852. Let s be 1\/3 + 5\/3. Which is the nearest to s? (a) u (b) -1.2 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27 a factor of 3431?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.4 and 102014386?\nAnswer: 102014387.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 2 - 2)*(3*k**5 + 10*k - 10*k)*(0 + 0 - 2).\nAnswer: 18*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(832) - (sqrt(832) + 1))**2 + 0.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + -10. Let b be 8\/6*y\/4. Let m = b + 11. List the prime factors of m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c - 2*n = -4*n, 15 = -c + 2*n for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of h**4\/6 - 2*h**3\/3 + h**2 + 6*h + 1. Let o(r) be the first derivative of q(r). Let o(i) = 0. Calculate i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 42 - 39. Let c = p + 39. What is the tens digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1157963?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*b**5 - 15662*b**4 - 129645*b**3 - 218210*b**2 - 31468*b + 23592 = 0.\nAnswer: -6, -2, -1\/2, 1\/4, 1966","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 767 is divided by 110.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:30 PM and 10:01 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 73, 64, 33, -32, -143, -312, -551?\n\"Answer: -2*k**3 + k**2 + 2*k + 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3876\/315 + (-1 - -1). Let f = 62\/5 - h. Let s = -102.2 - -102. Sort -2\/7, f, s in increasing order.\nAnswer: -2\/7, s, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9275*d**3 + 18320*d**3 - 9044*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 - 2\/3*a**5 + 2\/3*a - 4\/3*a**4 + 4\/3*a**2 + 0*a**3 = 0. What is a?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -93 = z - 98 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -50*x - 111*x + 192243 + 683597 = 0. Calculate the least common multiple of x and 6.\nAnswer: 16320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 16678 is divided by 538?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -346 - -491. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 5 + -11 + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 273 is divided by (-15)\/20 - 2830\/(-40)?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1 - 0\/(-2) - 78\/(-6). Calculate the common denominator of (140\/q)\/(22\/3) and -85\/22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -7124, -56987, -192304, -455795, -890180, -1538179?\nAnswer: -2442512","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (0 + 2)*6\/(-120)*-4.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 7155, 7100, 7043, 6984, 6923?\n\"Answer: -h**2 - 52*h + 7208","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1148185 - -2896885. Suppose b + j = -4*b. Let o = b - -2809014. Round o to the nearest one million.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = 1. Let x(s) = -47*s**2 - 4. What is 4*r(z) + x(z)?\nAnswer: -47*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*g**3 + 0 + 4*g**2 - 25 - 9*g + 29.\nAnswer: 11*g**3 + 4*g**2 - 9*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*o + 8*o = 4. Solve -o*l + 4*p = -0*l + 2, 2*l + 4*p + 10 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q + 379291 - 379291.\nAnswer: -q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*i**3 - 2*i**2 + 2*i**2)*(i + 2*i**2 - i) + (-3*i**2 + 3*i**2 - 2*i**4)*(-18 + 18 + 5*i) - 2*i**5 + 5*i**5 - 2*i**5 - 2.\nAnswer: -5*i**5 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 51*h**2*i**3*l**2 + h**2*i**2*l + 3*h**2*i**2 - 4*h**2*l**2 - 2*h*i**3 - 65*h*i*l wrt l?\nAnswer: 102*h**2*i**3 - 8*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = 3*b - b**2 + 0*b - 1 + 17*b**2. Let j be t(2). Let r be j\/6 - 2\/4. Solve 5*o = 5*d + 25, 2*d + r = -4*o + 31 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 53\/1062798 and -73\/44?\nAnswer: 2125596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -215630 or -1509413\/7?\nAnswer: -1509413\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 965 or 0.25?\nAnswer: 0.25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z**(-2))**(14\/5)*((z**(-8)*z)\/z)\/(z\/z**(-14)) assuming z is positive.\nAnswer: z**(-143\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 6*(-6)\/((-90)\/(-25)). Let m(t) = t**2 + 15*t + 45. Let o be m(c). What is the common denominator of 139\/54 and (o\/(-10))\/((-90)\/(-335))?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4708134 divided by -6?\nAnswer: -784689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 947*v**2 - 1070*v**2 - 15 - 44 in the form q*v + j + g*v**2 and give j.\nAnswer: -59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3\/(-2))\/(2\/4). Which is the third biggest value? (a) l (b) -1 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14827 is divided by 243.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in fifty-five quarters of a kilogram?\nAnswer: 13750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrqudq. Give prob of sequence du.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (115*g**3 - 8*g**3 - 5*g**3)*(-6 + 5 - 7*g + 0) to n*g**4 + l*g**3 + k*g + z*g**2 + m and give n.\nAnswer: -714","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -148 + 153. Suppose p + 4 - k = 0. Solve -5 + p = -4*f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 228*g + 428 = -2080 for g.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9682 and 70688?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-one sixths of a decade in months?\nAnswer: 820","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -100 times -486205\nAnswer: 48620500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(-12)\/20 - 2954\/(-10). Suppose l = 13*o - 133. Calculate the remainder when o is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 800120395 to the nearest integer?\nAnswer: 928","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -949, -3798, -8545, -15190, -23733, -34174, -46513?\n\"Answer: -949*l**2 - 2*l + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -69*x**2 + 10*x**2 + 17*x**2 + 805 - 805 + 29*x**2 - x.\nAnswer: -13*x**2 - x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 68526 + -12653. Is t prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t - 4*t + 2*t)*(-1 + 1 - t + (-77*t - 343*t - 158*t)*(1 + 1 - 5)).\nAnswer: 1733*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 247\/5 + -50. Let f(j) = -2*j**3 - 65*j**2 - 34*j - 67. Let k be f(-32). Which is the second smallest value? (a) k (b) -4\/5 (c) 0.3 (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 4*o + 9*o)*(1069 + 632 + 737 - 77).\nAnswer: 4722*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -67216 (base 8) in base 9?\nAnswer: -42736","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 13\/156*6 - 0.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*f - 2*g - 16 = 0, 1 + 6 = 3*f - 4*g for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-200)\/24 - 14\/21. Let x(v) = -57*v - 2. Let m(k) = -228*k - 9. Let c(u) = t*x(u) + 2*m(u). Let q(d) = -d**2. Calculate q(c(r)).\nAnswer: -3249*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 4*n + 105. Let o = n + 38. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -598946 - -11.\nAnswer: -598935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a centimeter in micrometers?\nAnswer: 4800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -62.2 - 10.8. Let t = -11948.8 - -12021.849. Let i = t + d. What is i rounded to two decimal places?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1890817 is divided by 171892.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.3 and -1772?\nAnswer: 1772.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4915*a**2 + 463*a**3 + 234*a**3 + 234*a**3 - 2454*a**2 - 928*a**3 - 2461*a**2.\nAnswer: 3*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*s + 5*s + 1235. Suppose 5*d - s + 102 = 0. List the prime factors of d.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -120 = 24*b + 8*b + 168 for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -3. Let x(n) = -n + 1 - o. Give x(2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -4\/35*j**7 + 7\/8*j**4 + 0*j**5 + 0*j**3 + 0*j**6 + 0 - 24*j**2 + 0*j. What is the second derivative of y(l) wrt l?\nAnswer: -288*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(68) - (sqrt(68) + 0)) + -4)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -447 - -442.81. Let r = v - -4.1899996. What is r rounded to 6 dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 6, 13, 20, 27, 34, 41?\n\"Answer: 7*s - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 51519527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 122 + -2 - (-37 + 98 - (87 - 21))\nAnswer: 125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 5*u - 31785 = 0, -3*u + 977 = -q + 7342. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-59)\/(38940\/(-40))*-22)\/11.\nAnswer: -4\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -1 - (53 + -59)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*u + 7*u + 0*u)*(u + 0*u + 0*u)*(-2 - 2*u + 2)*(28 - 23 + 59)*(0 - 3 + 1) as v*u**3 + b*u + x*u**2 + c and give v.\nAnswer: 1024","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 9 divide 9229861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 10507032?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 270877 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -20*l**6 - 7*l**3*x**3 - 9*l**3*x**2 + 52*l**2*x - 11*l*x**3 wrt l.\nAnswer: -2400*l**3 - 42*x**3 - 54*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3 + 3.5. Let v = 0.1 + 0.9. Let s = 106 - 111. Which is the third biggest value? (a) v (b) s (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 60992.45 nanograms in tonnes?\nAnswer: 0.00000000006099245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -5*o**2 - 5*o - 3. Let n(l) = -l**2 - l - 1. Suppose -2*d = -34 + 32. Let x(v) = d*w(v) - 3*n(v). Let q(h) = 2*h. What is x(q(u))?\nAnswer: -8*u**2 - 4*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 86\/4*(0 + 6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 - 3*j - 109*j**2 + 9*j**3 - 3*j**3 + 46*j**2 - 8*j**3 + 5*j as s + c*j + u*j**3 + y*j**2 and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(-7) + 667\/161?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/12)\/(11\/((-99)\/(-2)))?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 13733?\nAnswer: 31, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 819148914.\nAnswer: 2, 3, 73, 623401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 101290.\nAnswer: 2, 5, 7, 1447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) be the second derivative of -a**5\/30 + 43*a**4\/18 - 440*a**3\/9 - 484*a**2\/3 + 36*a - 2. Find j, given that s(j) = 0.\nAnswer: -1, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5603249 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0002097995 rounded to 6 decimal places?\nAnswer: -0.00021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.37? (a) 0.4 (b) -1 (c) 4\/3 (d) 0 (e) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6498406 is divided by 41129.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -2880, -3062, -3244, -3426, -3608?\nAnswer: -3790","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (0 - (4 - 5))\/((-6)\/(-96)). Solve -13*n + t*n = 15 for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9 - 5*p**2 + 4*p**2 + 5*p**2 + 0 to the form d*p + m*p**2 + f and give m.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 4344429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 35, 89, 173, 281, 407, 545, 689, 833?\nAnswer: 971","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 84353 is divided by 89?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.2 times 2558\nAnswer: 511.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Total of -47.6773219093 and -41.5.\nAnswer: -89.1773219093","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(425) - sqrt(425)*4)**2 + 1.\nAnswer: 3826","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = 8*q + 9 - 4*q + 7 - 3*q. Give j(-11).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w + 14 - 33 = -h, 3*w + 17 = -5*h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1*26 + 1 + 3. Suppose -10*c + 15*c - z = 0. Let i(s) = 4*s + 7. Let w(y) = 3*y - 1. Let u(m) = -m + 1. Let j(n) = -2*u(n) - w(n). Give c*j(o) + i(o).\nAnswer: -2*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 26 and 78?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 10829*r*w**6 - 3*r*w**2 + 258*r - w**2 + 2 wrt w.\nAnswer: 1299480*r*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1002*b = 978*b + 62280. Sort b, 4, -2 in descending order.\nAnswer: b, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*-2*sqrt(484) - sqrt(484))\/sqrt(11) + -3 + 1*sqrt(6336) + 1).\nAnswer: -8 + 104*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = y**2 + 52*y - 115. Give r(-54).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 68\/417 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.1014 + -335798.5?\nAnswer: -335796.3986","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 79248 divided by -6\nAnswer: -13208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) be the third derivative of -1\/18*p**3 + 0 + 7\/72*p**4 + 0*p + 231*p**2 + 13\/360*p**6 - 1\/12*p**5 - 2\/315*p**7. Solve n(w) = 0 for w.\nAnswer: 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 238 + -356 - (-52 - -7).\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (3 - 8 - (0 - 0)) + 3\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -100 - -4041431?\nAnswer: 4041331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -t**2 - 14*t - 14. Let z be i(-19). Let m = -107 - z. Solve -24 = 5*a + 2*s, -m*s - s = 5*a + 26 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/1)\/(((-777)\/74)\/7)*51*-1.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = d**3 - 3*d**2 + 3*d + 4. Suppose -5*z - 3*r = -54, r = 3*z + z - 50. Let i = z + -9. Determine a(i).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -116 + 171. Suppose 0*c - c + u = 0. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -519*d + 518*d = -3. Suppose -a = -5*a + 20, -15 = -3*f + d*a. Solve -4*s + 0*s = 3*w - 16, 3*w - f = 2*s for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a**2 + 11*a - 12. Let l be f(-12). Solve l = -0*r + 4*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) be the third derivative of -v**6\/120 + v**5\/10 - 5*v**4\/24 - 14*v**2. Give c(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.3 + 8.3. Let s = 8 + x. Let m = -11 + s. Sort -0.2, -3, m.\nAnswer: -3, -0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.4*-235470.\nAnswer: -94188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 + 10*w**2 - 3*w - 12. Let y be m(10). Let f = y + 29. Let o = -13 - f. Solve -3*q + 4 = k, -2*k + q = -o - 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 2, 47, 29, 3230 in increasing order.\nAnswer: -4, -2, 2, 29, 47, 3230","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -33 + 8 + 44 - -2?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 at most as big as 292\/823?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -k + 2*k. Sort k, -4, 0.5.\nAnswer: -4, 0.5, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 11*m - 13*m. What is the third derivative of -103*q**3 + 105*q**3 - 34*q**2 + m + 0 wrt q?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum -713385677.2 and -0.2.\nAnswer: -713385677.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s - 144. Let v(d) = 10*d**2. Calculate v(q(x)).\nAnswer: 10*x**2 - 2880*x + 207360","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: (-15)\/((-675)\/(-18))*(-10)\/(-1)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11*s - 5*s - 7*s - 3*s + 543.\nAnswer: -4*s + 543","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) = -4*r**2. Suppose 64*w - 70 = 72 - 14. Let h(v) be the second derivative of 0*v**w - 22*v + 0 + 1\/2*v**3. What is g(h(i))?\nAnswer: -36*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 75.5 rounded to the nearest ten?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*h**4 - 897*h**3\/4 - 1680*h**2 - 13893*h\/4 - 3267\/2 = 0.\nAnswer: -11, -9\/4, -2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a and 2 o when four letters picked without replacement from {b: 1, o: 1, a: 1, p: 1, e: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-3)\/2)\/((-1)\/2). Suppose 0 = 2*x - 4*v + 16, -4 = c*x - 0*x - 2*v. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-631)\/((-26)\/65*5\/2) a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 51266 divided by -6\nAnswer: -25633\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o = -2*z - 0*o + 19, 0 = z + 5*o - 32. Let d = 25 - z. Calculate the greatest common factor of d and 20.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = -10*z**2 + 4*z. Let f be 7 - 3 - 4 - -2. Let q be r(f). Let v = q - -46. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*s - t + 17 = 0, 3*t - 177 = -5*s + 2*s - 25*t + 13 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 37 and 9897389.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 2, x: 8, m: 3, t: 2}. Give prob of picking 2 x.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -41228 (base 16) to base 8\nAnswer: -1011050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 3*r**5\/10 - 5*r**2\/2 + 6*r. Differentiate g(t) wrt t.\nAnswer: 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 2 z when three letters picked without replacement from glzzzgzzzlzzzllz?\nAnswer: 9\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 3361 + -3359. Solve r*g = 3*p - 8, 3*g - 7*g = -3*p + 16 for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4a0a (base 13) in base 9?\nAnswer: -15343","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -2*a - 15. Let y be b(-8). Let w be -6*(-1 - y\/(-2)). Let -3*s**2 + 3*s**4 - 9*s**4 + 0*s**4 + 3*s**4 + 6*s**w = 0. What is s?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 445*q**2 - 518*q**2 + 500*q**2 + 398*q**2. Let l(x) = -3*x**2. Determine g(l(r)).\nAnswer: 7425*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000862 to four decimal places.\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 7933?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 610.10941 and 7742210?\nAnswer: 7741599.89059","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express z**4 - 28*z**2 + 4 - 2*z**4 + 28*z**2 - 4*z**3 as l*z**2 + y*z**3 + q*z**4 + c*z + k and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2 - 18)*(-2)\/5. Let t = -10 + z. Let y be (t - -41)\/3 - -2. Calculate the greatest common factor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bblblbblbb. What is prob of picking 3 l?\nAnswer: 1\/120","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 41\/21 and 333\/108 - (-1 - -5)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(k) = 2*k**3 - 11 - 46 - 7*k**2 - 7*k + 9*k - k**3 + 7*k. Let u be w(7). Solve 0 = -5*q - 9 - u for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 385.8 + -227.7. Let g = -158 + d. Which is the closest to g? (a) 2 (b) -4 (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 35.1 + -35.1001463. What is v rounded to 4 decimal places?\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 16650 to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/19 and -13\/593198?\nAnswer: 11270762","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 915.\nAnswer: 3, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 170993 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + 11 - 18 - -7.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 12 + 16\/(-40)*30. Let v be (1 - 1)\/(-2) - -8. Solve -5*x + x - v = j for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -0.03 (b) -8 (c) -2\/17 (d) 5 (e) -0.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**5 - 7*o**4 + 10*o**3 - 2*o**2 - 9*o + 9. Let i(d) = d**4 - d**3 + d - 1. Let f(p) = -36*i(p) - 4*x(p). Suppose f(j) = 0. Calculate j.\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -342 = -i - 2*j, 3*j = -3 - 3. What are the prime factors of i?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 + (-1 - 1) - (-34 + 38)) + 3?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.04 + 2.96. Let x = -1036 + 1031. Which is the biggest value? (a) 3\/5 (b) g (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -2*b**2 - 7*b - 3. Let z(a) = -a**2 - 3*a - 1. Suppose -9*v + 0*v = 189. Let d be 2\/(-12)*2 - (-35)\/v. What is d*p(k) + 5*z(k)?\nAnswer: -k**2 - k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -m**3 + 25*m**2 + 33*m - 1818. Let x be s(23). Let c(d) = 166*d**3 - d**2 - d - 1. Calculate c(x).\nAnswer: -167","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine o, given that 1120*o**2\/3 + 21145*o\/3 + 6675 = 0.\nAnswer: -4005\/224, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 2*g**2 + 129*g - 4894. What is c(27)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -4977360 divided by 186\nAnswer: -26760","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -7*i + 54*i**3 - 4 - 27*i**3 - 6*i**2 - 25*i**3. Let w be h(4). Suppose -d = w, -4*a + 2*d + 210 = -130. What is the tens digit of a?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*f = 5*x + 26, 0 = -5*x + 6*x + 4 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (3 + -1)\/(2 - 4 - -3). Let u(w) = 2*w - 4*w + 2 + 3*w. Let p be u(3). Solve l*a + z = -a + 5, p*a - z - 3 = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**3 - 2*d**2 - 1. Let z be 36\/(-1)*1\/(-2). Let g be (-58)\/z - (-2)\/9. List the prime factors of h(g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 2, c: 3, u: 2, q: 1, t: 2, g: 2}. What is prob of sequence gtt?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = 2*d**2 + 5*d + 2. Let o(r) = -3*r**2 - 10*r - 4. Let n(i) = -5*j(i) - 3*o(i). Let m be n(6). What is the nearest to -1\/3 in 2, m, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2880) - (sqrt(2880) + (sqrt(2880)*5 - sqrt(2880))))*4)\/((sqrt(40) - -2*sqrt(40))\/sqrt(4) - (sqrt(10) - (-1*sqrt(40))\/sqrt(4))).\nAnswer: -192*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbd when three letters picked without replacement from {j: 1, z: 1, n: 1, b: 3, d: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 16 + (-2 - -8) + 32 + -15.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*p**4 + 5*p**4 - 3*p**4)*(-1 + 1 + 2*p)*(13 + 25 - 24) - 4*p**5 - 8*p**5 + 5*p**5.\nAnswer: -63*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 606 divide 30333330?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 3, n: 2}. What is prob of sequence ene?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = f**3 - 8*f**2 - 6*f - 2. Let h be z(9). What is the greatest common divisor of h and 225?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**4\/16 + k**3\/4 - k**2\/8 - 3*k\/4 + 9. Determine v, given that m(v) = 0.\nAnswer: -3, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 114328.\nAnswer: 2, 31, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 9:48 PM?\nAnswer: 8:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 107.44 rounded to the nearest ten?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1720113735?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-1)\/3)\/((-4)\/8*-2). What is the biggest value in 5, k, -4\/7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 4050, 4066, 4082, 4098, 4114, 4130?\n\"Answer: 16*u + 4034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 131373 to the nearest integer?\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -9 divided by -132458?\nAnswer: 9\/132458","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*((c*c**(-7\/11))\/c)\/c)**(2\/13) assuming c is positive.\nAnswer: c**(-14\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -16 - -16. Suppose -5*r + 2*m = -0*r - 392, 2*m - 8 = w. Find the common denominator of 71\/4 and 2*(-4)\/r*-37.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -s - 14*t + 15*t + 56, -4*t = 12. Suppose -q + 105 = -n, 4*q - 172 = n + 251. What is the greatest common divisor of q and s?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 60470.4183 to 0 dps.\nAnswer: 60470","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 - 15 = 4*k. Let w = k - -7. What is the units digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-4 - (-10 - -175))*-6 is divided by 17.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = j + 11. Suppose 36 = -3*f + 9. Let w be x(f). Suppose 0 = w*t - 6*t + 192. Does 22 divide t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 603\/4 - 155. Calculate the common denominator of f and 65\/9.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pppp when four letters picked without replacement from {p: 7, i: 3, f: 3, e: 1}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -6*i - 3. Let u(y) = 0*y - 1 + 7*y + 8 - 3. Let x = 9 + -5. Determine x*u(q) + 5*j(q).\nAnswer: -2*q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 1841729665 from -2.\nAnswer: -1841729667","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhvvvbh. What is prob of picking 1 b and 1 h?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -o**2 + 4*o + 18. What is the units digit of x(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -566315 and 179.6.\nAnswer: -566135.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -484, -1802, -4020, -7156, -11228?\nAnswer: -16254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 318824, 637651, 956478, 1275305?\n\"Answer: 318827*g - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = -3*a + 8, a = 5*d - 22. Suppose -s + h - 13 = -4*s, 0 = d*s + 4*h - 24. Suppose -4*f + 2*f + 40 = 0. Put s, -2, f in descending order.\nAnswer: f, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-1)\/(-2))\/(6\/12). Let p = 34 - l. What is the lowest common multiple of p and 27?\nAnswer: 297","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -52\/575 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -376690.3081 + 392901.967. Let x = -16193.65889945 + v. Let m = -18 + x. What is m rounded to seven decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 3147 + -217. What are the prime factors of d?\nAnswer: 2, 5, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 983 to the power of 1\/2, to the nearest integer?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = k**2 - 2*k - 1. Let s be o(-1). Suppose s*p - 938000 = -5*p. Round p to the nearest 10000.\nAnswer: 130000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.1284084 rounded to four dps?\nAnswer: 0.1284","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/25 of a millennium in months?\nAnswer: 3840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 20*f + 21. Let z(b) = -5*b + 5*b + 3 - 10 - 7*b. Let k(v) = 3*u(v) + 8*z(v). Differentiate k(i) wrt i.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*o - 6*o - 2*o + 44*o = 5478 for o.\nAnswer: 83","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 9\/10 of a decade in months?\nAnswer: 108","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -159 - 165 - 53*u**3 - 166 + 490 - 36*u.\nAnswer: -53*u**3 - 36*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t + 8 + 12 = 4*o, 0 = -4*t + 5*o - 31 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of c**8\/784 - 2*c**7\/245 + c**6\/56 - c**5\/70 - 6*c**2 - 129. Let l(v) be the second derivative of f(v). Factor l(d).\nAnswer: 3*d**2*(d - 2)*(d - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -17\/2 in 0.4, 0, 5, 2, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 18405968389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -282*i. Let h(n) = 4*n**2. Calculate h(l(a)).\nAnswer: 318096*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*v - 19*v - 25 = -4*a, 0 = -5*a - 5*v + 20 for a.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = b**3 - 29*b**2 - 32*b + 130. Calculate z(30).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 376 minutes before 11:03 AM?\nAnswer: 4:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 297.3 * -6\nAnswer: -1783.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -21105? (a) -2\/13 (b) 0.2 (c) 2\/9 (d) 2 (e) 38 (f) -1\/4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 11641513 - 0.5\nAnswer: 11641512.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the third derivative of 0 - 2\/105*d**7 + 0*d - 1\/3*d**4 + 0*d**3 + 1\/5*d**5 + d**2 + 0*d**6. Factor y(l).\nAnswer: -4*l*(l - 1)**2*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2289 and 15925.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 9548554787 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -c**2 + c. Let j = 2616 - 2615. Let b(a) = -5*a**2 + 5*a + 10. Determine j*b(y) - 4*s(y).\nAnswer: -y**2 + y + 10","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -31*w - 55. Let s be j(3). Let k = s + 146. Let d = 0.04 - 3.04. Which is smaller: k or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of 3\/10*h**5 + 0*h**3 + 0*h - 13\/24*h**4 + 0 - 21*h**2. What is the second derivative of q(o) wrt o?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1506427 to the power of 1\/4, to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -1 - -121a3?\nAnswer: 121a2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) be the second derivative of -1\/12*p**4 + 0*p**3 + 0 + 13\/20*p**5 + 0*p**2 + 2*p. Suppose 0 = -99*y + 1223*y + 1124. Determine s(y).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8413.\nAnswer: 47, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -a**4 + 2 + 6*a**4 - 2*a + 3*a**3 - 3*a**4 to the form x*a**4 + t + c*a**3 + u*a**2 + p*a and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (46*7\/(-49))\/(-1). Factor -g*z**3 + 54\/7*z**2 + 2*z**4 - 26\/7*z + 4\/7.\nAnswer: 2*(z - 1)**3*(7*z - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 6*d**3 - 10*d + 8. Let h(k) = -5*k**3 + 10*k - 7. Determine 5*h(r) + 4*m(r).\nAnswer: -r**3 + 10*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -j**2 - 2*j - 41. Let v be p(14). Round v to the nearest 10.\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -52 divided by 13358\nAnswer: -26\/6679","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 361*y**2 - y - 181*y**2 - 188*y**2.\nAnswer: -8*y**2 - y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -h**3 - 22*h**2 + 38*h**2 - 16*h**2.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -2*b**2 - 2*b - 2. Let i be x(-1). Let y be (12\/(-9))\/i - (-16)\/(-6). Sort 4, -3, y, -1.\nAnswer: -3, y, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25758.51 at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 22 = 3*d, 0 = 2*d + 5*r - 6. Factor 3*a**4 + 3*a**3 - d*a**3 - 3*a**2 + 2*a**3 + 3*a**5.\nAnswer: 3*a**2*(a - 1)*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**(1\/4)*(m*m\/(m\/m**(1\/3))*m*m)\/m*m*m\/(m*m**(-1\/5)*m)*m**(-7) assuming m is positive.\nAnswer: m**(-253\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 335.9281 years?\nAnswer: 0.3359281","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c**3 + c**2 + c + 1. Let i be l(0). Suppose -2*v = 5*v + 4*v. Let n = v + i. Which is greater: -1\/5 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 146709548 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*v**4 + 0*v + 0*v)*(1 + 4 - 9).\nAnswer: 28*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10350, 20707, 31064, 41421, 51778, 62135?\nAnswer: 72492","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 49 = -5*d - 5*z + 14, -3 = -3*d + 5*z. Let n = -6 + d. Let v = -4 - n. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1.45 in 4, -5, -12\/13?\nAnswer: -12\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*a - 5910 = -6114 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -10 + 3*q - 3*q**2 - 7 - 9 + 28. Calculate h(-2).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7182233?\nAnswer: 23, 13577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1589 + -1580. Let b(x) = x + 2. Let a be b(6). Suppose -y*r + 1141 = -a*r. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*n**4 + 13683*n**3 + 20626515*n**2 + 10004328873*n - 410706253818.\nAnswer: 3*(n - 38)*(n + 1533)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert -133aa (base 14) to base 6.\nAnswer: -1003214","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Do 981894 and 981893 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -2*m**2 - 7*m. Let x be u(-4). Let k(a) = -7*a**3 - 8*a**2 + a + 7. Let h(g) = -4*g**3 - 4*g**2 + 4. Let q(j) = -5*h(j) + 3*k(j). What is q(x)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 2\/11 (b) 2\/3 (c) 0.3 (d) 19 (e) -6095 (f) 2 (g) -5\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -2\/9, -0.3, 0.299?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cchf when four letters picked without replacement from hrthctcrczhthft?\nAnswer: 1\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 108\/288*(2 + 6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.5, -0.3, 0.294589, 0.3, -3, 1\/4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/6 + 26\/(-6). Let t be (5\/15)\/((-2)\/(-150)). Let h be (-10)\/t + (-7)\/(-5). Sort -2, h, o.\nAnswer: o, -2, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 288*c**5 + 679*c wrt c?\nAnswer: 5760*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 52878 is divided by 17625.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand -g**3 + 3*g**3 + 6*g**3 + (2*g - 2*g - 2*g)*(-3*g**2 + 2*g**2 + 2*g**2).\nAnswer: 6*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = 15*r - 14. List the prime factors of q(6).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3934*n**2*o + 4*n**2 - 876*n*q**2 - 3*o**4*q**2 - 2*q**2 wrt o?\nAnswer: 3934*n**2 - 12*o**3*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 3 + 5)*(0 + 0 + 4)*(2*h**2 - 2*h**2 - 2*h**5) - 5*h**2 + 0*h**5 + 3*h**2 - 4*h**5.\nAnswer: -52*h**5 - 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 86 = 2*w, 0 = 4*w + 3*j - 96 - 96. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 202, 596, 1344, 2566?\nAnswer: 4382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/((-9)\/12))\/(-30)*5.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 14 - 6. Suppose -3*d - p = -d. Let z(y) = y**2 + 10*y - 121. Let b be z(7). Sort 5, d, b in descending order.\nAnswer: 5, b, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 160 + 70008*p**2 - 70008*p**2 - 2*p**4 - 52*p**3 wrt p?\nAnswer: -8*p**3 - 156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 1, -62, 5?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h**2 + h - 2. Let d(q) = -q**2 - q - 1. Let r(n) = -d(n) + u(n). Factor r(o).\nAnswer: -(o - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide 540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(12)\/(sqrt(18)\/sqrt(3)) - (sqrt(162) - 1*sqrt(162))**2.\nAnswer: sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = 172*s**2. Let c(k) = 281*k**2. Calculate v(c(q)).\nAnswer: 13581292*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrxrxrrerrxererrxrrr. What is prob of picking 3 e?\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of ((-26)\/117 - 22\/(-18))*379?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-144)\/132)\/(30\/330)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*f - 3*q = 1740009, 3*f - 333335 = -2*q + 1406659. Round f to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 9, -5, 52 in decreasing order.\nAnswer: 52, 9, 2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*t - 3*x - 4 = -1, 2*t - 3*x = -18 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sum -112 and -0.8309.\nAnswer: -112.8309","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8789542*w + 8789550*w - 17579095*w.\nAnswer: -3*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j*j\/(j\/j**4)*j)\/j)\/j*j**(-5))**(2\/35) assuming j is positive.\nAnswer: j**(-2\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((r\/(r*r*r**11)*r)\/(r*r\/r**(1\/10)*r))**37)**(-28))**(-9) assuming r is positive.\nAnswer: r**(-648018\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 748800 a multiple of 100?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 611, 2437, 5451, 9629, 14947?\nAnswer: 21381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -27*f**3 + 3*f**2 - 23*f**3 - 20*f**3 + 72*f**3 + 2 as s*f + i*f**3 + u*f**2 + w and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does -14\/5001 = -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p + 7488*n - 7486*n + 8 = 0, 3*p - 5*n - 39 = 0 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 709 minutes before 2:36 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 - 0.099?\nAnswer: 125.901","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 47677207 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uwwuxwwuuxwuuuuuw. What is prob of picking 2 w?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 2722987?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25663 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(26)\/(sqrt(10)\/sqrt(5))*6)**2.\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 373.4964 tonnes to milligrams.\nAnswer: 373496400000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 42, 81, 120, 153, 174, 177, 156?\n\"Answer: -o**3 + 6*o**2 + 28*o + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-1 - sqrt(50))*2*2 + -4*sqrt(4)\/(-2*sqrt(162)).\nAnswer: -358*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 33460?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-3)\/(-2))\/(4\/(-8)). Let y = -1 - g. Suppose -3*w = y*w - 50. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11010010111010110110100010 + 100?\nAnswer: 11010010111010110110100110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265112 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5153251, 5153258, 5153267, 5153278, 5153291, 5153306, 5153323?\nAnswer: 5153342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v + 6 = a, 5*a - 2*v = 3*a - 12 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t**2 - 1 + 1)*(0*t + 4*t + t)*(-9*t + 4*t**2 + 9*t)*(-38 + 138 + 65).\nAnswer: -9900*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 34*q - 5. Determine l(1).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 88429 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1444 - 1403. Calculate the remainder when w is divided by 13.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 15*l**3 - 9*l**3 - 7 - 15 - 2*l**3 in the form d*l**3 + a*l**2 + o*l + h and give h.\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 220, 215, 210?\n\"Answer: -5*k + 225","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (19 + -11)*(9\/(-6) - 0). Let b be -2 + 5 + (-3)\/s*-4. Let q = 9 + -6. Solve 2*o = -4*f - b*o + 4, -f = 3*o + q for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = -j**2 - 7*j + 13. Let y be s(-9). Let n = -0.0625 - 0.9375. Which is the nearest to n? (a) y (b) 1 (c) 4\/7 (d) -7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.1062551 months in decades?\nAnswer: 0.0092187925","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 502? (a) 3\/4 (b) 2 (c) 1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -43288577, -43288578, -43288579, -43288580?\n\"Answer: -b - 43288576","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*q - 16, 3*j - 5*q = -2*q - 15 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 182*m**2 - 2712*m - 2407049 wrt m.\nAnswer: 364*m - 2712","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 10 - 660?\nAnswer: -650","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.08645 minus 20?\nAnswer: -19.91355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 76335.\nAnswer: 3, 5, 7, 727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 4*w = 9, 0*q = q + 3*w - 8. Suppose 8*h - 378 = 3*h + 4*t, -q*t + 93 = h. Calculate the remainder when h is divided by 14.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(2000))*-4*-5 + (sqrt(2000) - (sqrt(2000) - sqrt(2000)*-2))*4 + sqrt(2000) + -3)**2.\nAnswer: -1560*sqrt(5) + 338009","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 133*c + 189 + 77 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 4 + 6 = 2*s, 0 = -5*m + 3*s - 15. Suppose -19 = -m*b - b. List the prime factors of b.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 5431568 to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19*k**3 - 14*k**3 - 19*k**3 + 8*k**3.\nAnswer: -6*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 24, 637 in decreasing order.\nAnswer: 637, 24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 102 + -211\/2. Let s = r + 23\/6. Let b = 3 - 2. Which is greater: s or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = v**2 - 6*v + 4. Suppose 0 = 2*z + 8, -6*z - 117 = -5*l - 3*z. Suppose 5*h - l = 3*j - j, -2*h + 2*j = -12. Let b = h + 1. Calculate q(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 53908 - 52062 = 71*s for s.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1.2 + -21.8. Let i = 0.061 - 24.061. Let x = i - j. What is x rounded to 0 decimal places?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 29 + -33. Let m = 0.2 - 0.24. Let f = 0.16 - m. Which is the second smallest value? (a) 0 (b) f (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 20\/6*-3*12\/(-30).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2007 - -2006. Which is bigger: b or 160?\nAnswer: 160","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 2*v. Let t(u) = 753*u. What is f(t(j))?\nAnswer: 1506*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -1595878 (base 12) in base 11?\nAnswer: -255389a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -14*s**3 + 9*s**2 + 14*s + 10. Let b(a) = -5*a**3 + 3*a**2 + 5*a + 4. Give 8*b(j) - 3*y(j).\nAnswer: 2*j**3 - 3*j**2 - 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -50679, -202695, -456055, -810759, -1266807, -1824199, -2482935?\nAnswer: -3243015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = 3*j - 1011*j**2 - 2 + 3 - 1 + 2. Let v(p) = -2022*p**2 + 5*p + 5. Let f(r) = 5*a(r) - 2*v(r). Let b be f(-5). Round b to the nearest one thousand.\nAnswer: -25000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1142376?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 291 and 72?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 2104259 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 352 divided by -2?\nAnswer: -176","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve y**5 - 280*y**4 + 1365*y**3 + 2770*y**2 - 5476*y - 6600 = 0.\nAnswer: -2, -1, 2, 6, 275","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28*o + 240466 = 240494 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -12.5715 - -0.5715. What is the third biggest value in 3, c, -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -130*d + 277218 + 227258 = -44*d. Is d != 5866?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -5*c**3 + 4*c**2 - 2*c + 3. Let w(a) = 9*a**3 - 7*a**2 + 4*a - 5. What is -5*g(r) - 3*w(r)?\nAnswer: -2*r**3 + r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = 5*s + 1. Let i(o) = -o + 2. Let w(m) = -3*m + 1. Let c(q) = 3*i(q) - 4*w(q). Give -3*c(x) + 5*h(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 17.64 - 18. Let m = 3382 - 3382.35908. Let v = y - m. What is v rounded to 4 dps?\nAnswer: -0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 4362*w**2 + 135*w - 46. Is f(5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -24755, -31004, -37255, -43508, -49763?\nAnswer: -56020","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1870 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -8*i**2 - 14*i**2 - 12*i**2 + 41*i**2. Let b(g) = 45*g. What is b(l(d))?\nAnswer: 315*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, 7, -34, -1\/4 in descending order.\nAnswer: 7, 1\/3, -1\/4, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (1492\/(-31705))\/((-3)\/((-15)\/2))\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1532 (base 7) to base 3\nAnswer: 211122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1211 + -100?\nAnswer: -1311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 175\/(-28)*(-4)\/(-10)*(-224)\/80. Sort 41, 3, -2, -4, r in decreasing order.\nAnswer: 41, r, 3, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*g**5\/4 + 2811*g**4\/4 + 16773*g**3\/4 + 13893*g**2\/4 - 16785*g - 25137 = 0. Calculate g.\nAnswer: -931, -3, -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: (19\/375)\/((-4313)\/(-1362))\nAnswer: 2\/125","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.1347 + -59.4653. Let f = 37 - 96. Let p = s - f. What is the nearest to 1\/4 in 2\/21, p, 1?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -11, -0.065, -1, -0.5, 1 in decreasing order.\nAnswer: 1, 0.4, -0.065, -0.5, -1, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3844613 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m + 11. Let v be h(8). Suppose 0 = -v*f - 5 - 4. What is the lowest common multiple of (8 - 6)*(-1 - f) and 2?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -32761*v**3 - 2*v**2 - 5*v - 3. Let s be y(-1). Suppose 5039 + s = 4*g. What is g rounded to the nearest 1000?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 20715 is divided by 6414.\nAnswer: 1473","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + 0.2. Suppose -j = -j - 14*j. Sort 4, j, q in decreasing order.\nAnswer: 4, q, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*t - 28*x + 33*x + 72490, -4*t = x - 145046. What are the prime factors of t?\nAnswer: 2, 5, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/10 + (-194)\/(-950). Let l = 287\/475 - t. Let c = -2 - -3. Which is greater: c or l?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2925503 to the power of 1\/2, to the nearest integer?\nAnswer: 1710","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 277437450?\nAnswer: 2, 3, 5, 17, 108799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -9 (b) -45 (c) 0 (d) -1 (e) 0.4 (f) -175\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -r + 124, 2*r + 2*f - 52 = 198. What is the smallest common multiple of 90 and r?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6433700 rounded to the nearest 100000?\nAnswer: -6400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 46715 to the power of 1\/2, to the nearest integer?\nAnswer: 216","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (102\/(-50))\/(93653\/(-55090))?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -5 - -10. Solve 4 = -d + j*d, -r - 3*d + 6 = 0 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 169.317377 to the nearest 100.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = o + 106. Let d be m(0). Suppose 2*z + d = 2*v - 40, -v + 53 = -5*z. Does 13 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7 + 8)*(-1 + 3). Suppose l + v*l = 27. Is 8 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**2\/2 + x - 1. Let r be n(-1). Suppose 0*o + 5*o = -5, 5*h - 8 = -r*o. What is the least common multiple of 4 and h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7028906 is divided by 159?\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (0 + 1)*(-12 - 2). Let a = 8 + -13. Let n = a - v. Is 9 a factor of n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -4*u - u. Let q(g) = g**2 - 8*g - 4. Let c be q(u). Suppose -c = -5*l, -5*x - 3*l + 34 = 1. Let i(f) = f**3 - 5*f**2 - 7*f + 7. Determine i(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1783288*z**2 + 32642*z**2 - 3063304*z**2.\nAnswer: -4813950*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, -5, -60, 4\/3?\nAnswer: -60","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:34 AM and 4:22 PM?\nAnswer: 468","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10321333111 - -12121?\nAnswer: 10322011232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 22*a + 34. Let s be m(-21). Let w be 9\/(-12) + (-156)\/(-16). Let p = s - w. Solve -2 - 2 = -p*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-4)\/(-6))\/((-13)\/(-39)*2).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -4957, -10391, -15871, -21403, -26993, -32647, -38371, -44171?\n\"Answer: -l**3 - 17*l**2 - 5376*l + 437","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.05626, 1\/2, -1\/8, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1)\/(-2))\/((-483)\/(-84)).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/5, -0.5, -4\/11, -7\/4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.4 minus -0.0202?\nAnswer: -0.3798","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 q when four letters picked without replacement from {q: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 22 divide 1123804?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -10 - -2943?\nAnswer: 2933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 minutes after 6:25 PM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -37*k + 1. Let n be u(3). Suppose -5 = -4*g + 31. What is the lowest common multiple of (-2)\/9 - n\/g and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:31 PM and 9:47 AM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68 = 32*j - 28*j. What is the remainder when 149 is divided by j?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eqzqqqdevvv. What is prob of sequence zevv?\nAnswer: 1\/660","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -96875 + 325800 = 25*u. Is u prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 15 - 57*r - r**2 + 57*r. Let c = -60 - -118. Calculate the remainder when c is divided by p(0).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -z**4 + 6541082*z**3 - 12733316*z**2 wrt z?\nAnswer: -24*z + 39246492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 4\/18 + (-32)\/(-18). Let x(h) = h + 2. Let l(u) = -u - 5. Give k*l(p) + 5*x(p).\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/142032 and 17\/160.\nAnswer: 1420320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.0815 + 0.0810264. What is s rounded to five decimal places?\nAnswer: -0.00047","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(-36)*(i*i\/(i*i**(-5)*i))\/i**7 assuming i is positive.\nAnswer: i**(-74)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -11 - 0. Let p = 144.262024 + -155.26202523. Let k = p - y. What is k rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:35 PM and 8:00 AM?\nAnswer: 505","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-8)\/(-42))\/(169\/(505141\/(-366)))?\nAnswer: -14\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.7281835 and 15?\nAnswer: -10.9227525","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -22*n + n**3 + 18*n + 0 + 2 + 0*n**2 - 2*n**2. Suppose 2*l - 3 = 3. Determine i(l).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3004741 is divided by 1001566?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 420539.3 millilitres in litres?\nAnswer: 420.5393","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -2 + 10011102?\nAnswer: 10011100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 4*s - 9. Let j = s + -1. What are the prime factors of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 608 divided by -608.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8077?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, r: 2, f: 1, v: 1, h: 1, m: 1}. Give prob of picking 1 m, 1 f, and 1 v.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) be the first derivative of 2*k**2 + 17*k - 3. Let n be o(-4). Let y be (-1 - -2)*((-6)\/(-3) - n). What is the nearest to -1 in y, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 3*u - 3. What is the third derivative of 5*v**4 - 5*v**u - v**2 + 2*v**2 wrt v?\nAnswer: 120*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1594 is divided by (7\/(-2) - -3) + 69\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 14223 and 7656.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1209*l**2 + 9491 - 9491)*(3*l**2 + 3*l**2 + 0*l**2).\nAnswer: 7254*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 48873031 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/3 in -1\/6, 5\/9, -6.7, 8?\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000107 rounded to six dps?\nAnswer: 0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 50391.99999940038 + -50392. Round t to 7 decimal places.\nAnswer: -0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -10043 + 0?\nAnswer: -10043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in thirteen eighths of a millennium?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + 126 = -5*q. Let p = q + 25. List the prime factors of p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/8 of a meter in millimeters?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - 3*z = 7, 4 + 2 = 2*i - 2*z. Let f be (1 + i)*-4 + -2. Let p be ((-1)\/(-2))\/((-4)\/(-24)). Solve -f*a + p*g = -2, -6*a - g + 3 = -3*a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 60443693?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -133*v + 98*v - 402 - 18 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -7b2f + -3bec?\nAnswer: -b71b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -250 + 543. Let k = c + -293.133. Let q = -0.433 - k. Sort -1\/5, 5, q in decreasing order.\nAnswer: 5, -1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) be the second derivative of -3*x**6\/5 - 14*x**2 - 25*x. What is the derivative of d(m) wrt m?\nAnswer: -72*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -97 = -4*p - 5*r + 12, 3*p = -3*r + 81. Let i = p + -6. Suppose 0 = 4*y + 2*k + 2*k - i, 4*k = -2*y + 12. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = b**2 + 2*b - 2. Let i be r(2). Let s(q) = q**3 - 4*q + 2. Let k be s(0). Solve -12 = i*o - k*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1*(-2)\/28*-2. Let k = -0.4 - -0.6. Let a = -19641 - -19635. What is the nearest to k in y, -2, a?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19580 and 4450?\nAnswer: 97900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-14)\/21)\/(-1*14\/3).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -516 (base 8) in base 16?\nAnswer: -14e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1410*g - 3138*g + 1525*g.\nAnswer: -203*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 251645?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(44) - sqrt(176)\/(sqrt(8)\/sqrt(2)))\/sqrt(4).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/4 + 385\/2. Suppose -3*n = n - h. Let b = n - 27. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.016575 to three dps.\nAnswer: -0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Do -26\/208137 and -1 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = -2*i**2 + 248*i + 274. Calculate the least common multiple of h(83) and 60.\nAnswer: 7080","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(51)\/(sqrt(3)*3*2) + 3 - ((sqrt(612) + 4)**2 + -2 + sqrt(1377)).\nAnswer: -623 - 341*sqrt(17)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 1, r: 1, d: 1, x: 1, u: 3}. What is prob of sequence irud?\nAnswer: 1\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*p**2 - 4220*p - 42700 = 0. What is p?\nAnswer: -10, 854","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 155 - 166. Let r(s) = -s**3 - 7*s**2 + 6*s - 27. What is the units digit of r(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:16 PM and 12:36 AM?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ttvtttqtqttqq. What is prob of sequence ttt?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand w**5 - 3*w**5 + w**5 + (-2 - 1 + 4)*(-610*w**4 - 491*w**5 + 610*w**4).\nAnswer: -492*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in 110, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 859*h**2 - 1338*h**2 + 1373*h**2.\nAnswer: 894*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = 3*l**3 + 18*l**2 + l + 4. Calculate q(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -t**3 - 2*t**2 - 7. Let g(q) = -3*q + 15. Let o be g(6). Let w be l(o). What is the second derivative of -w*m**5 - 953 - 5*m + 953 wrt m?\nAnswer: -40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 19 divide 361?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/60 + z**4\/24 - 7*z**2. Let y(u) be the second derivative of u**2\/2 + 29*u. What is -2*n(p) - 2*y(p)?\nAnswer: 2*p**2 - 2*p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 3*s - 41210, s = -5*o - 2*s + 51511. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2*j + j + (2 - 1 + 0)*(4*j + 4*j - 7*j))*(-j + 4*j - 5*j)*(12*j - 12*j + 26*j**3).\nAnswer: -156*j**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/((270\/(-63))\/(-10)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -3d (base 14) in base 15?\nAnswer: -3a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1841 is divided by 21.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 248*4\/(-6)*18\/3. Let i be w\/(-140)*1\/12. Let l = 4\/21 - i. Which is the closest to l? (a) -2 (b) -1\/4 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in seven eighths of a tonne?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = 5*k - 269, 2*k + 2*z - 55 = k. Let s(t) = -t**3 - 5*t**2 - 2*t + 8. Let y be -1 + 2 + -8 + 2. What is the remainder when k is divided by s(y)?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/8)\/(5\/(20\/6)).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 32b - -3?\nAnswer: 330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(13) - (sqrt(13) + 2)*-2 - sqrt(91)\/(sqrt(63) - sqrt(7)))*5 + ((sqrt(1872)*-4)**2 + sqrt(1872) + -5)*5.\nAnswer: 145*sqrt(13)\/2 + 149755","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -12 + (1 - (-9 - -6))\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10 and 153874?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -0.086 + 0.144. Let l = g - -0.142. Sort -0.3, -5, 1\/2, l in ascending order.\nAnswer: -5, -0.3, l, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -100221102 - 100?\nAnswer: -100221202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/8173742 and -40\/1839.\nAnswer: 24521226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4621\/5 or 924?\nAnswer: 4621\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/15)\/((2\/36)\/((-57)\/(-342))).\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the second derivative of -v**5\/15 + 2*v**4\/3 + 10*v**3\/3 - 13*v**2 - 13*v - 2. Let w(b) be the first derivative of m(b). Factor w(a).\nAnswer: -4*(a - 5)*(a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3 by 851883.\nAnswer: -1\/283961","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 59 is divided by 10.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 62812 rounded to the nearest 10000?\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**2 - 2. Let u(x) = 36*x**2 - 2*x + 5. Let i(b) = 6*t(b) + u(b). Is 22 a factor of i(5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -x + 42 = 3*x - 34 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round -65378.23 to the nearest one hundred thousand.\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 680 minutes before 7:22 AM?\nAnswer: 8:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 123\/40 and 157\/600.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 856 = -94*n + 522*n. Let d = 3 - -62. Suppose d = -y + 3*b, 4*y - 113 + 413 = n*b. Round y to the nearest 10.\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 984?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -3*l**3 - 7*l**2 - 12*l + 1. Let q(a) = 7*a**3 + 15*a**2 + 24*a - 2. Calculate 13*g(i) + 6*q(i).\nAnswer: 3*i**3 - i**2 - 12*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1517820\/5553*6\/40?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 55.078 - 55. Let h = -16.878 + s. Let z = 14.7 - h. Round z to the nearest integer.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = v**3 + 38*v**2 + 27*v + 73. Is w(-34) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*x - 476*r + 29 = -474*r, r - 22 = 5*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41 + 97 = -23*g for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00489603 to 5 decimal places.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 10*w**2 + 435*w + 5708. What is c(-13)?\nAnswer: 1743","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2386 to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 15 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in -5, 1, -1?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 6 in -0.1, -2, -14, -2\/7?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (8 + 2 - 4)*(6*h - 7 + 7)*(4 - 5 + 0).\nAnswer: -36*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21428.\nAnswer: 2, 11, 487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1646508 is divided by 71556?\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (6 - 0)*(-2)\/(-6). Let w = 8813 - 8800. Solve 0 = -2*g + n*a + 6, -5*g + 2*a + 2*a + w = 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 17\/768436 and 145\/6?\nAnswer: 2305308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 + 6 + 1 + 6 + 23 + -23?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**3 + 11*y**2 + 25*y - 20. Calculate b(-7).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 2*z + 5. Let a(n) = -10*n. What is a(o(u))?\nAnswer: -20*u - 50","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 4*k - 3 - 5, 0 = 5*i + 5*k. Suppose 5*j - 464 = -189. Suppose -n - j = 10*n. Put -2, n, i in ascending order.\nAnswer: n, -2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 86 and 586?\nAnswer: 50396","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 8*b**2 - 3. Let l be (-1)\/(2\/7) + 1*(-39)\/(-6). Let h(r) = 40*r**2 - 16. What is l*h(z) - 16*a(z)?\nAnswer: -8*z**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*v - 3 = -2*q + 5, 5*v = 5*q + 10. Let n be v + -3 + (-3)\/(-9). Sort n, 0.2, 2 in increasing order.\nAnswer: 0.2, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(209)\/(sqrt(121)\/sqrt(176)) + 3.\nAnswer: 3 + 4*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5671.266mg to micrograms.\nAnswer: 5671266","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0006127 rounded to four dps?\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 67559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 5 + 0)*(198 + 4516*s - 2254*s - s**2 - 2260*s).\nAnswer: 3*s**2 - 6*s - 594","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of f**2*s**3 + 9*f**2*s - 115*f**2 - 2*s**4 + 727*s**2 wrt s.\nAnswer: 6*f**2*s - 24*s**2 + 1454","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8d (base 14) to base 10\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express 3 + 2*b**2 + 6*b + 1 - 5*b in the form c*b + a*b**2 + w and give w.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -65, -162, -93, 328, 1287?\nAnswer: 2970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = 23*x**2 - 4*x - 2. Let n(y) = -1133*y**2 + 198*y + 99. Let a(p) = -2*n(p) - 99*t(p). Let h = -2 - -2. Let v(d) = 0 + h + 3*d**2. What is a(v(s))?\nAnswer: -99*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-12)\/(-4) - (-1 + 1). Suppose -l*a + 2 = -10. Suppose 13 + 39 = a*t. Solve 4*m - t = 3, 0 = 3*v - 2*m + 20 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -18205000 to the nearest one hundred thousand.\nAnswer: -18200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - -41 - 34) + (-29)\/9. What is the closest to 0.1 in 0, -0.2, 24, c?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 1804.39 and 0.2.\nAnswer: 1804.59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 89573*d**2*g*z + d**2 - 47*d*g*z + 11*g*z - 3*g - 66472*z + 3 wrt d?\nAnswer: 179146*d*g*z + 2*d - 47*g*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18 - -28. Suppose 3*v - 38 = -5*w, 0 = 4*v + 2*w - 22 - h. Let u be (v\/(-15))\/(8\/(-10)). Which is smaller: 0 or u?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -13*n + 11*n + 1246. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b**3 - 2*b**2 - 5*b + 1. Suppose 12 + 6 = 5*t + 2*o, -2*o = -8. Let y(g) = -g**3 + g**2 + 2*g. Calculate t*k(i) + 5*y(i).\nAnswer: -3*i**3 + i**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 13184 and 256.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - -10 - (-9 - (4 + -16)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from mnnnmnmmnnmn. What is prob of picking 2 n?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -278 + 763. Let h = c + -339. What is the tens digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t + 5 = -0*i + i, 3*t - 12 = 3*i. Let u be 133\/(-14) + t\/2. Let p(r) = r**2 + 7*r - 8. Calculate p(u).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -f + 3*f = -3*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 183945611?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*d + 1199 = 2495. Sort -3, 0.1, d in descending order.\nAnswer: d, 0.1, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = n**3 + 6*n**2 - n. Let q be d(-6). Let h(o) = 51*o - 24. Let y be h(q). Let t = 727 - y. Is t composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25\/(-30))\/(-1*20\/6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) be the first derivative of f**3\/3 + 16*f**2 + 37*f - 1. Let i be g(-31). What is the greatest common factor of 14 and i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -4 + 1. Is 306\/4 - z\/6 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 3, p: 1, d: 4, e: 3}. What is prob of picking 1 p and 3 l?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3607\/9 - 401. Is x > 1\/45?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = r**3 + 15*r**2 - 2*r - 28. Let q be l(-15). Solve -q*b = -1 - 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 3*q - 5*f, -2*q - 12 = -4*q - 2*f. Suppose 0 = -10*t + 5*t + q*g + 30, 0 = 3*t - 5*g - 18. Solve -p = p + t for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/30*5 + 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*d**5 - d**5 - d**5)*(-1 - 1 + 4) + 3*d**3 + 2*d**5 - 3*d**3 + 4*d**5 - d**5 - 4*d**5 + 2*d**5 - 4*d**5 - 2*d**2 - 5*d**5.\nAnswer: -10*d**5 - 2*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -663*y + 158*y = 6565 for y.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (14*z + 22 - 22)*(2*z - 2*z + z).\nAnswer: 14*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1.408 and 19.12.\nAnswer: 26.92096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 9) to base 2.\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -150307, -150577, -151021, -151633, -152407, -153337?\n\"Answer: v**3 - 93*v**2 + 2*v - 150217","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 101 - 182 + 283 - 2*x + 148 + 6*x as s + v*x and give v.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3520.2 + -3638.354. Let s = 0.154 + b. Let c = s - -117.02. Round c to 1 dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11100001101100000 (base 2) to base 9\nAnswer: 185451","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**3*y*y**(-3)\/y*y**(-3\/20)*y**(-2\/15)*y*y assuming y is positive.\nAnswer: y**(103\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -3. Suppose -70 = -15*w + 10*w. Find the common denominator of 71\/6 and u - w\/(-8)*-7.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -337*s**2 + 86*s + 74. Let q(k) = 339*k**2 - 83*k - 75. Let z(a) = -3*q(a) - 2*y(a). Let d(p) = -18*p**2 + 4*p + 4. Calculate 77*d(w) - 4*z(w).\nAnswer: -14*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*p**3 - p**3 + 42*p**3.\nAnswer: 41*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/63? (a) 168763 (b) 0.4 (c) 3 (d) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2188, 4418, 6648, 8878, 11108?\n\"Answer: 2230*n - 42","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-2 - (-1 + -4 + 4))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-26)\/(-65) - (-350)\/1000.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) be the first derivative of o**2 - 9550. Let b(q) = -1221*q - 3. Calculate b(n(u)).\nAnswer: -2442*u - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 39 + 69. Suppose -t = -3*v + u + 16, 0 = -3*v + 5*u + 140. Suppose 2*f = -3*f + v. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 6*f + 65 = 0. Suppose -3*u - 2*j = 47, -13*u + 8*u + 4*j - 49 = 0. Is u < f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 200 = 2*c, -5*p = -3*p + c - 135. What is the common denominator of 29\/65 and (-41)\/p - (1 + (-15)\/6)?\nAnswer: 455","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -123, -314, -505, -696?\n\"Answer: -191*z + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 126 + -136. Let t(g) = g**3 - 5*g**2 - g - 3. Let i be t(5). Does r = i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35*u - 29*u = 198. Let h = 10 + -5. Suppose -c - 443 + 124 = -h*t, 4*t = 5*c + 272. What is the remainder when t is divided by u?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 362428 to the nearest integer?\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 96, 290, 620, 1092, 1712?\n\"Answer: x**3 + 62*x**2 + x + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6.8 - 7.1. Let x = 4 - 9. Let k = 0.3 + -0.2. What is the nearest to k in a, x, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*z - 559406 = 0, 5*c - 3*z + 279707 = 6*c. Let y = c - -906635. Let w = -836336 + y. What is w rounded to the nearest one hundred thousand?\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*g + 413 = -3*z + 365, 4*g + z - 49 = 0 for g.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6952 = 57*t + 31*t. Calculate the remainder when 2998 is divided by t.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = 5*x - 15682, -2*g - 5*x - 8049 = 7653. Let i = g - -13203. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 45 and 313514310.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -4.108 rounded to 0 decimal places?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 1522 times -54.6\nAnswer: -83101.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i + 3*o = -16, -3*o - o - 2 = 3*i. Find the third derivative of -4*w**2 + 20*w**i + 5*w**6 - 7*w**2 wrt w.\nAnswer: 600*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) be the third derivative of t**5\/30 - 17*t**4\/24 + 11*t**3\/6 - 33*t**2. Let i be n(8). Is i - 1 - 0 - (-19 + 1) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 2*c**2 - 36. Let m be x(0). Which is greater: -37 or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 3*c**5\/2 + 9216*c**4 + 8526186*c**3 + 2157464307*c**2 + 4263863625*c\/2 - 4297931523 = 0.\nAnswer: -5081, -531, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) = l**2 - 4 + 15 + 2*l**2 + l**3 - 3*l**3. Let u(f) be the second derivative of -f**5\/20 + f**4\/12 + 5*f**2\/2 + 2*f. What is 3*b(r) - 7*u(r)?\nAnswer: r**3 + 2*r**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 1568, 6212, 13960, 24818, 38792, 55888?\n\"Answer: a**3 + 1546*a**2 - a + 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 188 and 11750.\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -35664 - -67511. Is k prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 252*h**2 - 124*h**2 + 315*h - 883*h - 130*h**2.\nAnswer: -2*h**2 - 568*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -2, -10, 3 in ascending order.\nAnswer: -10, -8, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -295*v**3 + 739*v**3 + v**2 - 7*v**2 + 6*v**2.\nAnswer: 444*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000521258 rounded to 6 dps?\nAnswer: -0.000521","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 * -354870\nAnswer: 709740","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11332 is divided by 189.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -1156180 (base 9) in base 3?\nAnswer: -1011220012200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 640 - 446. Let d = l - 197. Sort -1\/7, d, -1, 5 in decreasing order.\nAnswer: 5, -1\/7, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2029 (base 14) in base 15?\nAnswer: -1985","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m**2 + 30*m + 19. Let k(w) = 3*w + 9. Let l be k(4). Does 13 divide x(l)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 - 1 + 2)*(-w**2 + 2*w**2 + w**2)*(8 - 9 + 4)*(-2 + 2 + 3).\nAnswer: -36*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7)\/5)\/(8009148\/53970).\nAnswer: -1\/106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*l**2 + l**2 - 3*l**2)*(2 + 0 + 0) + (-4 - l + 4)*(6*l - 19*l - 14*l) + 78*l**2 + 7*l**2 + 5*l**2.\nAnswer: 113*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 503*y**5 + 80*y - 7*y - 487*y**5 wrt y.\nAnswer: 320*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nnve when four letters picked without replacement from nvvtttnetnttattttt?\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = y**2 + 4*y - 46. What is the remainder when 48 is divided by n(-10)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16721532 to the power of 1\/2, to the nearest integer?\nAnswer: 4089","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 5ab (base 13) to base 14\nAnswer: 506","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Are -1 and -12\/97 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 4528325*x**4 + 188288.\nAnswer: 18113300*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let -l**5\/6 - 412*l**4\/3 + l**3\/3 + 824*l**2\/3 - l\/6 - 412\/3 = 0. What is l?\nAnswer: -824, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82416, 164733, 246942, 329043, 411036?\nAnswer: 492921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -419 and 6.\nAnswer: -2514","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 979*86\/(34056\/(-36)).\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 140 and 77910.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10 - 11) + (-14 - -11) + -51 + (2 - 2).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y**(-3\/5)\/y**16*y**(-19)\/y*y*y\/(y**11*y*y)*y*y assuming y is positive.\nAnswer: y**(-228\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i\/i**(-1))**(5\/4)*((i\/(i*i*((((i*i\/i**(1\/4)*i)\/i*i)\/i)\/i)\/i*i)*i)\/i)**(20\/3)*((i**(1\/3))**(1\/33))**(11\/3) assuming i is positive.\nAnswer: i**(-493\/54)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(34) + sqrt(34)*-1)\/sqrt(2))**2 + sqrt(17)*2*-4).\nAnswer: -48*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express 4117*d + 9645*d**2 + 1320*d**2 - 4117*d as x + a*d + i*d**2 and give i.\nAnswer: 10965","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f = 10 + 2. Let w = -50.5 - -51. Which is the closest to 0? (a) f (b) 6 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 88258898*q**2 - 318864*q + 288 = 0. What is q?\nAnswer: 12\/6643","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**6\/120 + z**5\/60 + 9*z**4\/8 - 5*z**3\/6 - 274*z**2. What is the second derivative of n(j) wrt j?\nAnswer: -6*j + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + sqrt(490) + 1*sqrt(490) + sqrt(490)) + (sqrt(56)\/(sqrt(16)\/sqrt(4)))\/sqrt(7).\nAnswer: 23*sqrt(2)\/22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = c**3 + 5*c**2 - 2*c + 1. Let j be o(-4). Solve 5*b - 2*m + m = 25, 5*m = -j for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 686 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 21. Do -3\/32 and r have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) be the third derivative of -1\/12*z**4 + 0 + 8\/3*z**3 + 0*z - 14*z**2. Let s be t(8). Which is greater: s or 1\/52?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -148.5*-5386.\nAnswer: 799821","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 4377950637?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k - 4 = h + 5, 0 = 4*h - 2*k. Let v(r) be the second derivative of r**3 + r. Let x(z) = -z. Determine h*v(p) - 4*x(p).\nAnswer: -2*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.3 + -0.3. Let j = 634 + -637. Which is the nearest to j? (a) h (b) 1\/5 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the third derivative of -485*w**8\/168 - 1829*w**5\/30 - w**3\/6 - 1090*w**2. Find the third derivative of b(h) wrt h.\nAnswer: -58200*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 3 (base 4) to base 14\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-4 - 108\/(-16)) + 1\/4. Let m(o) be the first derivative of 4\/5*o + 7\/5*o**2 + 4\/15*o**c - 3\/10*o**4 - 2. Determine y so that m(y) = 0.\nAnswer: -1, -1\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 15120 divided by -5?\nAnswer: -3024","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -53\/30 and 2 + ((-24)\/(-8) - 754\/96).\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wkiigiwwwiikijw. Give prob of sequence wj.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z, 1 x, and 1 q when four letters picked without replacement from {d: 3, x: 1, l: 2, q: 9, z: 2, v: 3}?\nAnswer: 3\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) be the first derivative of 36 + o + 0*o**2 + 53\/3*o**3. What are the prime factors of f(-2)?\nAnswer: 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -859217, -1717120, -2575023, -3432926, -4290829, -5148732?\nAnswer: -6006635","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(p) = 2*p + 10. Suppose -10*a = -13*a - 9. Let b be n(a). Solve -3 = -4*x - 3*j, -b*x + 12 = -3*x - 3*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1298285?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fv when two letters picked without replacement from fvfvvffvvvfvvv?\nAnswer: 45\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/15, -0.2, 4, 48, 0.2.\nAnswer: -0.2, -2\/15, 0.2, 4, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -4, 1605, -2\/25, -174, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.3 != 32?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 + 2\/(-6) + (-80)\/48?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 4 * 1.22.\nAnswer: 4.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: 21\/(((-119133)\/(-13206))\/61)\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(132) - (2*sqrt(132) + sqrt(132))) + sqrt(132) + sqrt(132))\/((sqrt(84)*1)\/sqrt(7)) + 4.\nAnswer: 4 + 6*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) = -826*s**3 + 91*s. Let l(y) = 27*y**3 - 6*y + 16. Let o(m) = 34*m**3 - 6*m + 12. Let t(a) = -3*l(a) + 4*o(a). Calculate -6*g(x) - 91*t(x).\nAnswer: -49*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 418*p**2 - 38*p - 38. Calculate k(-1).\nAnswer: 418","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - (-3 + 1)) + -6\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 29026 - 29025.67791. Round f to two dps.\nAnswer: 0.32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -w + c - 4, -4*w - 28 = 4*c. Is -14*(68\/w - 0) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (9 - -16) + (2 - 5 - -7 - 7).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r + 2*r - 135 = 0. Suppose -2*x - 3*y = 1, 2*x + y - r = 7*x. Let q = x + 9. Which is smaller: q or 3\/7?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 256582 to the power of 1\/3, to the nearest integer?\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 34635, 138539, 311711, 554151, 865859, 1246835, 1697079?\nAnswer: 2216591","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(98)*1*3 + sqrt(98))\/sqrt(2))\/(sqrt(49)\/sqrt(112) + sqrt(21)\/sqrt(3)*2).\nAnswer: 16*sqrt(7)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-71)\/(-114))\/((-2)\/(-6)). Let y = b - 7\/19. Let s = 0.2 + 0.3. What is the second biggest value in -0.5, y, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 18 = -2*j, 4*j = 8*u - 13*u - 41. Let m(b) = 25*b + 126. Calculate m(u).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (72*v - 63*v - 57*v)*(2 - 2 - 2).\nAnswer: 96*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9910 is divided by 6791?\nAnswer: 3119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6270 divided by 1045.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i + 6 = 0, -4*k + 3*i - 32 = -19 + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 5*o + 55. Let q be m(-13). Let w(k) = -k - 19. Give w(q).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8432 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7*5\/(-35) + 1)*(-3)\/1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3447?\nAnswer: 3, 383","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 110470 + -0.2.\nAnswer: 110469.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -799318+3\nAnswer: -799315","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1030 (base 4) to base 13\nAnswer: 5b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most -128195.816?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the first derivative of -5\/3*t**3 + 0*t**2 - 3 - 3*t. Differentiate s(g) wrt g.\nAnswer: -10*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3*(14\/1590)\/((-5264)\/(-1504))?\nAnswer: -2\/265","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -1257 + 1327. What is the lowest common multiple of 10 and w?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2\/713 + -1404\/7843. Let d(h) = -h**2 + 3*h - 4. Let w be d(3). Let g = w + 5. Which is smaller: p or g?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1 + (-3 - -2))*-14 + -4. Let j be (13 + 70\/(-10))\/2. Sort j, s, -5 in descending order.\nAnswer: s, j, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 17*t**2 + 19*t - 3. Give p(18).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -29 + (-4 - -46) + -21?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -0.42 + -36.58. Let h = b - -42. Let a = 5.3 - h. Is a smaller than -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 821684604 to the nearest integer?\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = 9*m**2. Let y(u) = 171 + 5*u - 171. Give y(x(b)).\nAnswer: 45*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 900 - -264. Suppose n = -3*n + m. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.06 + 0.16. Which is the closest to -1? (a) -2\/5 (b) x (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 38\/((-16)\/88 - (-12)\/187). Let a = -159 - v. Let s = a + -83. What is the units digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -55, -49, -63, -103, -175?\nAnswer: -285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -1 + 14*q - 3*q - 6*q. Let d(s) = -6*s + 1. Calculate 3*d(h) + 4*v(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -6*(15\/(-50) - 20\/(-25)). Let m(h) = -h**2 - h - 5. Let g(r) = -2*r**2 - 2*r - 6. Let b(n) = 2*g(n) - 3*m(n). Calculate b(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**1\/(((i\/i**(-3))\/i)\/i)*(i**(-1)*i)**34)\/(i*(i\/(i\/(i\/i**(-3))))\/i*i**3)**5 assuming i is positive.\nAnswer: i**(-36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -705 + 456. Find the common denominator of 49\/66 and q\/45 + 17\/34.\nAnswer: 330","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2\/15, 2\/39, 0?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) be the third derivative of 0 + 10*z**2 + 0*z**4 - 13\/120*z**6 - 1\/20*z**5 + 0*z**3 + 0*z. Find the third derivative of o(k) wrt k.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 541*m**3 + 1667*m - 262*m**2 - 3499*m**2 - 1667*m wrt m.\nAnswer: 3246","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j**2\/2 - 1026*j - 175446 = 0 for j.\nAnswer: -342","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -104.04 + 104. Which is the nearest to 0? (a) 0.1 (b) -2 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 55520?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 479, 833, 1199, 1583, 1991, 2429?\nAnswer: 2903","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(-18))\/(9*(-260)\/(-5616)*(-62)\/5)?\nAnswer: -2\/93","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3b + 683c?\nAnswer: 6878","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -182*n + 171*n + 2497 = 0. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -36 + 43.4. Let y = s - 7. Let x = 3\/167 + 307\/1503. What is the third biggest value in y, x, 1\/2?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*k**4 + 90*k**3 + 3144*k**2 + 25974*k + 64395.\nAnswer: -3*(k - 53)*(k + 5)*(k + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-13)\/(-78)*(-8)\/(-60)*5?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.8596 and 29467.\nAnswer: 25329.8332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the first derivative of 3*j**4\/10 - 13*j**3\/5 + 36*j**2\/5 - 27*j\/5 - 142. Factor t(a).\nAnswer: 3*(a - 3)**2*(2*a - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/4*976*50\/1600.\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -5*h + 1. Let q(o) = -4*o + 1. Give -7*q(u) + 6*s(u).\nAnswer: -2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 756 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 397683 and 10181457?\nAnswer: 3861","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i + 105*t = -4*i + 4*i + 1155, 0 = -3*i - 4*t + 44 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bze when three letters picked without replacement from zafqbefa?\nAnswer: 1\/336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 40, 74, 104, 130, 152?\nAnswer: 170","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -a**2 + 5*a - 2. Let h be c(8). Let u = h - -17. Suppose -10*y - 141 = -151. Sort u, 5, y in decreasing order.\nAnswer: 5, y, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2276?\nAnswer: 2, 569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**3 + 44*u**2 - 177*u - 7150. Give n(-44).\nAnswer: 638","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 220291 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x + 7. Let i be f(6). Let a = -11.2 - -8.6. Let p = 2.2 + a. Sort i, p, 3 in decreasing order.\nAnswer: 3, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 66 and 48?\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6020, -6008, -5982, -5936, -5864, -5760, -5618?\nAnswer: -5432","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 6. Find the common denominator of 2\/11*1*-2 and (-2)\/l - 500\/(-24).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (304\/(-64))\/(-1 + 21\/20). Let n = 89 + v. Let a(m) = m**3 + 7*m**2 + 9*m + 6. What is a(n)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*w**2 + 2*w - 2*w)*(-1 - 3 + 5)*(7*w - 3*w - 2*w) + w**3 - 4*w**3 + 2*w**3.\nAnswer: 5*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1772058464?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19231128.\nAnswer: 2, 3, 7, 23, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -n**3 + n**2 - 2*n + 1. Let v(b) = -535*b**3 - 10*b**2 + 109*b - 10. Let a(o) = 11*g(o) + v(o). What is the second derivative of a(r) wrt r?\nAnswer: -3276*r + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -33 + 23. Let b be 3\/s*6\/(-9). What is the third smallest value in -0.3, b, 0.1?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5418659413 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*a - a = -2. Suppose 3*t = t - 8, -a*v - t + 2 = 0. What is the tens digit of (v + -4)\/((-2)\/54)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = c**3 + 6*c**2 + 824*c + 8. What is f(0)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1034071?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -84236*0.1\nAnswer: -8423.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = 9*s**2 - 16*s - 153. Is z(23) a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -2ce7 + 4c97?\nAnswer: 1ea0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -2\/9 (c) -638 (d) -27 (e) 9\/8 (f) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v**(-1\/3)\/((v*v*v**0*v)\/v)*(v**(-2\/3)\/v)\/(v*v*v**(2\/7)\/v*v) assuming v is positive.\nAnswer: v**(-44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 21\/6*(-88)\/(-77). Let q(a) = 5*a**3 - 2*a**2 + a. Let s be q(3). Suppose 3*h - s = -2*h. Calculate the highest common divisor of h and g.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-444)\/333*(-13314)\/8?\nAnswer: 7, 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -70*s + 3562859 + 2592768 = 512157. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -162 - -538. Let l = u - 259.8. Round l to the nearest 10.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*o - 10 = 8*v - 10*v, 0 = 4*v - 3*o - 17 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a - 2*s + 1652 = -6*s, -409 = -a + 2*s. Calculate the remainder when a is divided by 15.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t - 2*u - 15 + 7 = 0, -3*t = 3*u. Let m = 5 + 0. Calculate the greatest common divisor of t and m.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -19*z - 15. Let r be w(-5). Let c be -2 - r\/(3 - 7). Suppose c = 2*x - 48. What is the units digit of x?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1 (base 15) to base 10.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5, -627, 10 in ascending order.\nAnswer: -627, -3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert b068 (base 14) to base 11.\nAnswer: 20824","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 24*f**2. Let p(k) = -217*k**2. Calculate -3*p(r) - 28*u(r).\nAnswer: -21*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*n**2 - 1806906*n.\nAnswer: -3*n*(n + 602302)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l + 61 - 73 = 0. Find the third derivative of 40*j**3 - 14*j**l + 24*j**3 + 47*j**2 wrt j.\nAnswer: 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2143, 1600, 695, -572?\nAnswer: -2201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -11 - 9 + 8 - 3 - 5*c - 10*c. Calculate r(-5).\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 26.3497 - -0.0903. Let t = 56.415 - y. Let n = 29 - t. Round n to 1 decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-376)\/611)\/((-3)\/15*-5).\nAnswer: -8\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 100 + 101001100011?\nAnswer: 101001100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many years are there in 0.6564612 decades?\nAnswer: 6.564612","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (6*a + 5*a - 5*a)*(2*a**3 + a**3 - 5*a**3) - 2*a**3 - 175 + 4*a**4 + 175 to the form f*a**3 + m*a + t*a**4 + z*a**2 + s and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is 123\/262 less than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -1666*v - 645. Let h(g) = -837*g - 323. Let b(p) = 11*h(p) - 6*j(p). Find the first derivative of b(n) wrt n.\nAnswer: 789","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 232 and 64?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v + 1 + 3. Let y(o) = -o**2. Let x(h) = -2*h - 1. Let d(k) = k**2 + k + 1. Let t(u) = -2*d(u) - x(u). What is v*t(l) - y(l)?\nAnswer: -l**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) = -5*z + 1. Calculate the remainder when a(-4) is divided by 14.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -p**3 + p**2 + p. Let a(l) = 2*l**2 - 105*l - 1 + 201*l + 4*l**3 - 99*l. Calculate a(n) + 3*f(n).\nAnswer: n**3 + 5*n**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 505101068 divided by -1?\nAnswer: -505101068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Are -37872\/799 and -47 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 2*d. Suppose 13 = -4*n + 97. Let g be 7\/n - 4\/(-6). Let z(u) = u - 1 - g + 2. What is w(z(o))?\nAnswer: 2*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (0 + -1)\/((-1)\/2). Suppose -h*n = -0*n. Is n + (-2 - -2 - -31) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 784 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 52 and 156?\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from lzxxlxlll?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 less than 25?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 - 160 = 33*h + 132 for h.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1166 and -0.2.\nAnswer: -233.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 163 - 317. Let s = n - -153. Which is smaller: s or -2\/7?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:46 AM and 6:56 PM?\nAnswer: 610","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*f + 5*s + 21, -4*f - s + 45 - 30 = 0. Solve 0 = -13*r - f + 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 88 divide 2407582459?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1065904 rounded to 2 decimal places?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 129167, 129166, 129165?\nAnswer: 129164","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-5 + sqrt(19) + 4 + sqrt(19) + sqrt(76)*1)**2.\nAnswer: -1830 + 48*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (2 - 5)\/(6\/(-20)). Suppose 2*y + y - 69 = 0. Let t = y - i. List the prime factors of t.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3463 = 12*g + 2743. What is the highest common divisor of 708 and g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.02*-5.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 - 14*a - 41. Let j be y(-6). Let p(b) = 10*b**2 + 10*b. Let s(u) be the first derivative of -7*u**3\/3 - 7*u**2\/2 + 297. Give j*s(x) + 5*p(x).\nAnswer: x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = 93*z**2 + 3441*z - 155. Determine g(-37).\nAnswer: -155","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129310 is divided by 16157?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*v**2 + 22*v - 32.\nAnswer: 2*(v - 1)*(5*v + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(96)\/(sqrt(16)\/sqrt(2)))\/(sqrt(24)\/sqrt(6)*-6).\nAnswer: -sqrt(3)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -3 (b) -0.4 (c) 5 (d) -70571 (e) 6 (f) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -x. Let w(u) = 13*u + 1. Let i(s) = -52*s - 10. Let p(r) = -i(r) - 5*w(r). Determine p(h(k)).\nAnswer: 13*k + 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*t**5 + 3*t**5 - 2*t**5 + 3*t + t**5 - 3*t + (2*t**3 + 0*t**3 - 4*t**3)*(14*t**2 - 6*t**2 + 4*t**2) - 7*t**4 + 2*t**5 - 6*t**4 + 16*t**4.\nAnswer: -22*t**5 + 3*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**4\/4 - 4*w**3 - 91*w**2\/4 - 19*w + 9.\nAnswer: (w - 9)*(w + 2)**2*(3*w - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 77 + -47. Calculate the remainder when 206 is divided by q.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 8.15 + -0.15. Let t = k + -7.9. Which is the second biggest value? (a) -2\/5 (b) -2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1446465.6 to the nearest one thousand.\nAnswer: -1446000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 360 - 359.6. What is the closest to -2 in -4, c, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 52628 + -52631.9999. Let n = -6 - -10. Let p = n + f. What is p rounded to three dps?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*m - 146 = -106 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -48 - (117528\/(-1224) - -48).\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 7*n**2 + 4. Let y(l) be the first derivative of -21*l + 6*l**3 - 3 - 18*l**3 + 2. Suppose g = -147 + 151. Calculate g*y(r) + 21*t(r).\nAnswer: 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.4, -0.09, 2, 1, 0.09 in descending order.\nAnswer: 2, 1, 0.4, 0.09, -0.09","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 270*r**5 - 42*r - 9 wrt r.\nAnswer: 5400*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 371 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 811 + -1364. Let u = r + 573. Solve -u*p + 19*p = -1 for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -592345 divided by 59.\nAnswer: -592345\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 332*p**2 + 118*p + 539. What is the remainder when c(-5) is divided by 75?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 3*z - 21 - 16 = 0, -45 = -4*n + 5*z. Calculate the remainder when 47 is divided by n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/35*(-196)\/70*(-5)\/20.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.055461713 rounded to 4 decimal places?\nAnswer: -0.0555","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"} +{"text":"Question: Let z(s) be the second derivative of 3*s**4\/4 - s**3 + 9*s. Find the second derivative of z(w) wrt w.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwpswaswsspwdp. What is prob of sequence spww?\nAnswer: 10\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -17*n. Let l(g) be the first derivative of -g**2 + 2. Determine l(h(a)).\nAnswer: 34*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(98) - (sqrt(98)*-1)**2*2 - (-4 + (sqrt(98) - (sqrt(98) - (sqrt(98)*-2 + sqrt(98)))))**2.\nAnswer: -310 - 49*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.5 (b) -2\/5 (c) 0.3 (d) 0.871\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(f) = f - 15. Let q be d(21). What is the greatest common factor of 54 and q?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = 6*x - 14. Suppose -2*f - 5*w = -5 - 5, f - 2*w = -x. Solve 3*h = -f*h for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -577 - -901. What is the lowest common multiple of l and 10?\nAnswer: 1620","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -143975 = -9*o - 16*o. What are the prime factors of o?\nAnswer: 13, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 - 20*r**2 + 19*r - 11. Let f be o(19). Let m be (f\/1)\/(2\/2). Let j = 21 + m. What is the greatest common divisor of j and 50?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 253952 to the nearest integer?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 1, m: 1, p: 2, a: 2, q: 1}. Give prob of picking 2 p.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 21 in -1\/4, -0.104, -4?\nAnswer: -0.104","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 27*c**2 - 55386*c**3 + 2 - 2 + 55394*c**3.\nAnswer: 8*c**3 + 27*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 2020 (base 5) in base 12?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*a - 8*a - 2*o, 0 = 4*a + 3*o - 5. Solve 4*r + c + 10 = -14, c = -a*r - 29 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 172*u**2 - 730*u**2 - 520*u**2.\nAnswer: -1078*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) = -2*d**3 + 29*d**2 + 10*d - 330. Let a be q(14). Solve -33 = a*m - 51 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-129*n**2 + 159*n**3 + 129*n**2)*(2 - 2 - 1 + (3 - 4 - 1)*(-2 - 1 + 1) + 1 + 1 - 1).\nAnswer: 636*n**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) be the second derivative of -17*l**7\/42 + 7*l**4\/6 - 19*l. Find the third derivative of k(h) wrt h.\nAnswer: -1020*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 62, 223, 478, 827, 1270, 1807?\n\"Answer: 47*u**2 + 20*u - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 - 1)*2\/(-6). Let d = 0.088 - 1.088. Which is the nearest to -1\/2? (a) d (b) 0.3 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -326*o**2 + 22*o - 22. Calculate x(1).\nAnswer: -326","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -157 - -163. Let f be 2*(k + 222\/(-36)). What is the nearest to -0.1 in 1\/3, f, 175?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/13 (b) 6 (c) -1 (d) -34 (e) -0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -p**2 - 10*p - 1. Let h be o(-9). Suppose h = -x - x, 2*x = 3*f - 188. What is the highest common divisor of 6 and f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = k**2 - 14. Let p(o) = 2*o. What is p(s(j))?\nAnswer: 2*j**2 - 28","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 19408 - 19411. Let m(n) = 96*n**3 - 7*n**2 - 7*n - 4. Let t(y) = 48*y**3 - 3*y**2 - 3*y - 2. Calculate i*m(h) + 7*t(h).\nAnswer: 48*h**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 5*r**2 + 1220*r + 30240 = 0?\nAnswer: -216, -28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 931 and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*i - i + 4*i + (0 + 2 + 0)*(-i - 3*i + 3*i) as d + v*i and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 2943 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -339 or 205?\nAnswer: 205","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -1197*r**3 - 294 wrt r.\nAnswer: -3591*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2916*s - 2928*s + 72 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k - 7. Let p be (-8)\/12*(2 - -1). Let o be u(p). Let d = -11.5 - -11. Which is the nearest to -2\/3? (a) o (b) 4 (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4 - -3. Let m = 16 - v. Let j = m - 9.4. What is the nearest to -6 in -2, j, -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*m = -6, 3*p - m + 33 - 41 = 0 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jdj when three letters picked without replacement from ffdddfdfdjj?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 3*u**2. Let r(w) = 34*w**2 - 5*w. Let m(p) = 119*p**2 - 17*p. Let i(v) = 5*m(v) - 17*r(v). What is i(s(a))?\nAnswer: 153*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/5 of a meter in millimeters?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(343)*5*5 - (5 + (sqrt(175) + 3*sqrt(175) + sqrt(7))**2).\nAnswer: -3092 + 175*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*r - 979*h = -982*h + 231, -367 = 4*r - 3*h for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 67*l**2 - 5*l + 7. What is the units digit of h(3)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/140)\/((-6)\/14).\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y\/y**(-3\/5)*y*y**2*y)\/(((y*y**(-3\/8))\/y)\/y**0))**(12\/17) assuming y is positive.\nAnswer: y**(717\/170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 1915, -29, 1.\nAnswer: -29, 1, 2, 1915","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.2*470131.\nAnswer: 94026.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2, -1\/2, -6.3, 0.3, -0.3?\nAnswer: -6.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 = -n + 3*n - 3*l, 22 = 3*n + 4*l. Factor 0*s**n + 3*s**3 - 4*s**3 - 3*s**2 + 4*s**3.\nAnswer: 3*s**2*(s - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the third derivative of -r**3\/2 + 3*r**2 + 125*r + 4. Let g(h) = -h + 7. Let w(a) = -a - 8. Let u be w(-5). What is u*g(p) - 7*k(p)?\nAnswer: 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = u**2 + 11*u + 3. Let v be n(-11). Solve v*y = 5*y + 2 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4159*j - 244 + 2*j**4 + 2075*j + j**3 + 2086*j - 2*j**2 - 253 in the form v + d*j + g*j**4 + a*j**2 + o*j**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/(-3)*42\/49. Let w = 1.98 - -0.02. Which is the closest to w? (a) -0.1 (b) 0.3 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10487 is divided by 1747.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the billions digit of 2571502943?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -6. Suppose 2*p - 8 = -4*a + 3*a, -2*a = j*p - 12. List the prime factors of (-3)\/a + (-71)\/(-4).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 12*u**3 - 98*u**2 + 132*u.\nAnswer: 2*u*(u - 3)*(u - 2)*(u + 11)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.08 * 271.8931\nAnswer: 21.751448","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 29882566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(4235)*-6)\/(sqrt(320)*6 - sqrt(320)).\nAnswer: -33*sqrt(7)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or 6\/12833?\nAnswer: 6\/12833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 36111 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21*d + 3156 + 813 = 0. Let f = d + 193. Solve 4*b = f*c - b + 14, -2*c - 12 = -5*b for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -249 - -249. Is -126 < s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 218557?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 312189 by 25.\nAnswer: 312189\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*r - 2*r - 16. Solve -n = r - 3 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5401403 is divided by 27558?\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = n**3 + 13*n**2 - 5*n - 18. Let k(l) = -l**3 + 7*l**2 - 6*l - 13. Let u be k(6). Is w(u) a multiple of 47?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -30304 (base 7) in base 9?\nAnswer: -11071","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 42 + -39. Let g(i) = 20*i**o + 4*i - 2*i**2 - 1 + 10*i**3 + 0*i**3 + 0*i. Is g(3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (-1 + sqrt(171)*-1 + sqrt(171) + 0 + sqrt(171) + -2)**2 + 1.\nAnswer: -18*sqrt(19) + 179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 70199 to the nearest integer?\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1962658994 rounded to one dp?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 930 = -4*q + 3*u, -208 = 2*q - 3*u + 260. Let t = -147 - q. Suppose 3*k - k - t = 0. Is k a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*i**5\/7 - 1084*i**4\/7 + 35704*i**3\/7 - 17888*i**2 = 0. Calculate i.\nAnswer: -301, 0, 4, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 i and 1 n when two letters picked without replacement from ymnyiimytmimmyy?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in -2\/7, -0.3, -1\/4, 0.2, -0.4, -0.6034?\nAnswer: -0.6034","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Do 377465 and 377517 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 160 is divided by 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = s**2 + 9*s + 12. Let h be q(-8). Let w(n) = -10*n + 37. Determine w(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 2*v - 32 = -v, n + 3*v = 7. Let l = n - 34. What are the prime factors of (1 + -3)\/(3\/l)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 2*y = 5. Suppose 0 = -3*w - 5*x + 2, -2*w - x - 28 = -y*x. What is the remainder when (2 + -6)\/(w\/30) is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c\/(c**(-1)\/c)*c))**16\/(c**4*c**(4\/7)))\/((c**2*c)**(-3\/7)\/(c*c\/(c\/(c*c\/(c\/c**(-2)))))**(-2)) assuming c is positive.\nAnswer: c**(-583\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 545*i**2 - 47*i + 2. Is x(4) a multiple of 34?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 4, u: 4}. What is prob of sequence uua?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 + 2)*(-75)\/300 - 4\/(16\/(-19))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f - 1 = 6*f + 3*b, 0 = 5*f - 3*b - 29. Suppose 0 = 4*z - f - 4. Let r = -21 + 23. Is r smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-4 - (2 - 6)) + 3. Suppose 14 = f*i - 10. What is the greatest common factor of i and 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 8 + -6. Suppose 0*y + m*y = 4. Suppose 4*a - 15 = a. Solve z = -y*z + f + a, z = 4*f + 20 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 660 minutes before 9:52 PM?\nAnswer: 10:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 15*i**3 + 75*i - 11. Let f(r) = 8*r**3 + 37*r - 6. Give -11*f(z) + 6*h(z).\nAnswer: 2*z**3 + 43*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 3*i + 19. Calculate m(-8).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*j + 4 - 4)*(1 - 4 - 1) - 2*j + 2*j + j - 1 + j + 0 + 2.\nAnswer: -6*j + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 734 and 508295?\nAnswer: 367","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*o**2 - 5868*o - o**2 + 5868*o.\nAnswer: o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35845491.\nAnswer: 3, 11, 61, 17807","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let a = -823 - -398. Let q = a + 428. Solve -q*j + 5*m = 2*j + 40, 0 = 2*j - 4*m + 24 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = -4*o - 19 + 5, -o = 4*x. Suppose v - x = 2, 167 = 2*l + 5*v. Let y = l - -261. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 335591146?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) be the third derivative of -1\/2*q**3 + 11*q**2 + 5*q + 1\/24*q**4 + 0. Calculate u(4).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3394830823.\nAnswer: 571, 5945413","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:54 PM and 2:34 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express -m - 1 + 2*m**3 + 4*m**3 - 60*m**2 + 60*m**2 in the form u*m**3 + h + q*m + x*m**2 and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 139 - 13. Let n be d\/27*(-3)\/2. Is (n + -3)*(-1 + 0) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -161\/30 and -39\/235.\nAnswer: 1410","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -5, 5?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503125744 a multiple of 2806?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 155793633 != -0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 10231 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1787029265 a multiple of 245?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 2, -22, 7432, -8 in increasing order.\nAnswer: -22, -8, 2, 7, 7432","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 329 and 188?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**3 - 9*v**2 - 159*v - 48. Give k(18).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r + 0*r - 2*r)*(-2 + 3 + 1)*(20*r + 3*r - 10*r + (-4 - 3 + 5)*(-3*r + 3*r - r)).\nAnswer: 30*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 8647 + 4549 = 0. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(n) = n + 29. Let o be f(0). Suppose o - 3 = 2*y. Calculate the remainder when y is divided by 7.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 171402 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 107*2203929.\nAnswer: 235820403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 273 = 3*r - 310, 2*c + 195 = r. Let h = r + 17. Round h to the nearest 10.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = v**3 - 22*v**2 - 91*v + 51. Let d be x(-4). Suppose 2*o + 8 = -2*o. Sort o, d, -17.\nAnswer: -17, o, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 259 + 83 = -3*m, -4*m - 3*j = -246. Is m a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 165 + 36. Suppose -2*g + 5*g - z = 0. List the prime factors of g.\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 51585 a multiple of 51?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1338815.45 + 28.2.\nAnswer: -1338787.25","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -158069\/425256 + -1\/10904. Let d = n - -1\/26. Let y be (2\/(-6))\/(-4*(-40)\/384). Which is the second smallest value? (a) d (b) 0 (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*h = -4*b - 20*h - 20, 0 = -2*b + 4*h. What is the fourth smallest value in 4, -0.4, -0.03, b?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 677497 divided by 59.\nAnswer: 11483","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54107309 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 17595 divided by 9\nAnswer: 1955","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -14964, 12, 5 in decreasing order.\nAnswer: 12, 5, -5, -14964","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -3\/5 (b) -5\/2 (c) -5 (d) 214 (e) 200 (f) -2 (g) -0.03\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 7 - 2. Suppose 3*y = x + 4. What is the derivative of 2 - 6 + y*n + 0*n wrt n?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = k**3 - 14*k**2 + 74*k + 591. Determine x(-4).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2298489 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 4.42577 rounded to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -31*k + 32 - 30 - 2*k**4 + 0 to the form c*k**4 + h*k**2 + l + f*k + i*k**3 and give f.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*28\/616 - 1095\/(-55)) + -5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 2*a = -9 - 10, -3*q + a + 13 = 0. Suppose 2*s - 2*h + 0*h = 662, 5*s = -q*h + 1625. What are the prime factors of s?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(133) + (sqrt(133)*2 - sqrt(133))*-6)*-3)\/(sqrt(224)\/(sqrt(8) - sqrt(72))).\nAnswer: -15*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 * 48728936.\nAnswer: -4872893.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 13673.3999039842 and -3.\nAnswer: 13670.3999039842","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -41\/7791732 and 119\/18.\nAnswer: 7791732","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/(((-154)\/11)\/(-28)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 22 = -3*y. Suppose 9 = j - y. What is the highest common divisor of j and 20?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*l**2 + 30*l**2 - 38*l**2.\nAnswer: l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 2*o + 4. Let f(h) = 1. Let v(n) = -c(n) + 4*f(n). Let x(i) = 4*i**2 + 5. Let u(w) = w**2 + 1. Let z(b) = -5*u(b) + x(b). Determine v(z(j)).\nAnswer: 2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 1665905 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 26\/((-2990)\/69)*-1.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.030311 * 452\nAnswer: 13.700572","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 51\/5 of a litre?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*a + 5*t = 10*a + 375, -2*a + t + 141 = 0. What are the prime factors of a?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -341, -691, -1045, -1403?\n\"Answer: -2*j**2 - 344*j + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) = 81*n + 2519. Determine w(-30).\nAnswer: 89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 84 + -13. Let o = 69 - j. Which is the closest to 2\/7? (a) 10 (b) o (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 - 48 - (-2 - -24)) + 49.\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h + 7*h + 44 = 4*f, 0 = -f + 4*h + 22. Let t be f\/36 - 22\/(-12). Suppose -32 - 18 = -t*w. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 31153230.\nAnswer: 2, 3, 5, 346147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -30.2 - -25.2. What is the second smallest value in 2.2, -14, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 83*d**2 + 5*d + 5. Let s(f) = -f**2 + f + 1. Let b(r) = o(r) - 4*s(r). Is b(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from jjvvvvvvjv. Give prob of sequence jvvj.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is (-354)\/(-8) - 9\/36 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -214334 (base 6) to base 3.\nAnswer: -220110211","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 41304249?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(825) - -5*(sqrt(825) + sqrt(825) + 2*sqrt(825) + sqrt(825)) - 5*(2*sqrt(825) + sqrt(825)))\/(6*5*((sqrt(243) - 1*sqrt(243)) + sqrt(243))).\nAnswer: 11*sqrt(11)\/54","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 24520853 divided by 9?\nAnswer: 24520853\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 54 + -53. Let v = 0 + 2. What is the second smallest value in v, -5, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18351192, -36702381, -55053570, -73404759, -91755948?\nAnswer: -110107137","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2295*z**4 + 39354*z**3 - 42417*z**2 + 4302*z + 1056 = 0. What is z?\nAnswer: -1\/9, 22\/85, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 2*a - 13. Let q be d(7). What is the remainder when -1 + 0 + (q + -2 - -18) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 133 a factor of 125020?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:25 PM and 8:20 PM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (15*a - 6*a**2 - 15*a)*(13769 - 13769 + 35*a)*(-1 + 5*a + 1) as w + h*a**2 + m*a**3 + d*a + t*a**4 and give t.\nAnswer: -1050","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5 + -6. Let o(f) = -86*f**3 - f - 1. Is o(i) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 75, 173, 321, 543, 863, 1305, 1893, 2651?\nAnswer: 3603","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Add together -2 and -1611353.163.\nAnswer: -1611355.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = -42*b + 1. Let q be f(-1). Suppose 53 = -4*h - q. Let m = h - -40. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 (base 6) in base 11?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) = -b**3 - 465*b**2 + 864*b - 32674. Give p(-467).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 53762268 to the nearest integer?\nAnswer: 377","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 1 + 6 = 0, 2*i - 18 = -20*l + 25*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 948 or 933?\nAnswer: 948","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2*f**2*i*u**2 + 167717*f**2*i*u + 379558*f**2*q*u + i*q*u**2 + u**2 wrt q.\nAnswer: 379558*f**2*u + i*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 615, 705, 797, 891?\nAnswer: 987","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c = -n + 2*c - 177, 3*n + 5*c + 539 = 0. Let x be (-3)\/(n\/(-12) - 4). Which is smaller: x or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1503.7 - -32275?\nAnswer: 30771.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 6*s + 6*s)*(-s**2 + s + 4*s - 2*s).\nAnswer: s**3 - 3*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -27 + 29. Suppose -i*k = 5*g - 266, -g - 4*g - k + 268 = 0. Let p = g + 22. What is the units digit of p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/9 in -4, 97\/5, -4\/23?\nAnswer: -4\/23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -1649, -1513, -1307, -1037, -709, -329, 97, 563?\n\"Answer: -j**3 + 41*j**2 + 20*j - 1709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 25*m**3 - 9*m**3 + 43*m**3 + 6 - 10 - 7*m**3.\nAnswer: 52*m**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 bigger than 4.9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -89\/16744 and -113\/16744.\nAnswer: 16744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) be the third derivative of -w**5\/20 - w**4\/8 + 2*w**3\/3 - 52*w**2. What is the derivative of i(z) wrt z?\nAnswer: -6*z - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 306546654.\nAnswer: 2, 3, 59, 107, 8093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 12358?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(2\/7)\/(m*(m*m**(2\/5))\/m)*(((m*m\/(m\/(m*m**1)))\/m)\/m)**(-37))\/((m*m**4)**25)**(-27\/2) assuming m is positive.\nAnswer: m**(115457\/70)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 32322301?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k - 3. Let l be f(-3). Let p be 245\/450 - 200\/4500. Which is the nearest to l? (a) 4\/5 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-24)\/(-6) - 14\/((4\/(-5))\/(119\/(-425))).\nAnswer: -9\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.1 (b) 5 (c) 963\/8 (d) -23\/2 (e) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 703 divided by 4?\nAnswer: 703\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 634229.3km?\nAnswer: 634229300000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - (-4 + 7 + -12)) + (9 - 22).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2 * -543535.\nAnswer: 1087070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a = -2*a + 10. Suppose 4*f + f - 70 = -5*v, 0 = -a*f - 4*v + 34. What are the prime factors of f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-28)\/(-16) + -2)\/(13\/(-156)). Find d, given that -1\/2*d**m + 1\/2*d**2 + d + 0 = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 55 a factor of 6205585?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = 2*o**2 - 7*o + 11. Determine s(3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -656, -679, -728, -815, -952, -1151, -1424, -1783?\nAnswer: -2240","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-12)\/(q**(1\/3)\/q))\/(q**(-5)\/q*q\/(q\/(q*q**(-3\/5)))) assuming q is positive.\nAnswer: q**(-86\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 439*k**2 - 5 + 2*k + 624*k**2 as n + g*k**2 + b*k and give b.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 26737 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-4 + 4 + -2901)\/(-3).\nAnswer: 967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = 3*v**2 - 323*v + 2010. Give j(101).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:23 PM and 12:06 AM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*d**2*t**3*x**3 - 9*d**2*t**2 + 8*d**2*x**2 + 10*d*t**3*x**3 - t*x**3 wrt t?\nAnswer: 12*d**2*x**3 + 60*d*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -12306490 bigger than -12306490?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -7869804 divided by -12\nAnswer: 655817","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = -k**2 + 3*k - 1. Let s be t(1). Suppose s = -2*l + 15. Solve o - l = -2 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -z**2 - 3*z - 1. Let u be -1 + (0 - 2) + 1. Let f be i(u). Let p be ((-2)\/2)\/(f\/(-3)). Solve -h + 0 = p for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 146.8 to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 47658839 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -4480161 divided by 640023?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in eighteen fifths of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7 + 3*r + 7)*(2 - 4 + 1) + 1 + 4 - 7 + r + (3*r + 0*r - r)*(0 + 6 - 3).\nAnswer: 4*r - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -3*t - 42, 0 = 5*o + 14 - 4. Is (356\/(-10))\/(t\/30) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 6162 + -4948. What is the remainder when i is divided by 64?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.13037 - 0.86963. What is the nearest to i in 0.6, 1\/4, 3\/16, -1\/4?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let x be 0\/4 - (-1 - -1). Which is the closest to x? (a) 4 (b) 5 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 897 is divided by 21?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - (-30)\/(-33)) + (-98262)\/(-3399)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 425736460?\nAnswer: 2, 5, 21286823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + 5*t + 2. Determine z(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose r = -5*y + 1 - 2, -3*r + 2*y + 48 = 0. What is the remainder when (-5)\/(252\/1680*(-3)\/(36\/10)) is divided by r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 517 minutes before 2:34 AM?\nAnswer: 5:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 147 and 63.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -575 divided by 58?\nAnswer: -575\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 2*j - 43, j + 10 = -r + 32. Suppose -3*p + j = 2*m, -p - p + 22 = 4*m. Suppose -m*s + 2*s = -9. Solve -5*o + s = -8*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in -4*q**3 - 755116*q**2 - 35643173536*q - 534477715440 = 0?\nAnswer: -94382, -15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 12702?\nAnswer: 2, 3, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1147 and 372?\nAnswer: 13764","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -30 + 50. Let m = 130 + -12. Find the second derivative of -7*t - m*t**3 - w*t + 81*t**3 wrt t.\nAnswer: -222*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -19.991 - 0.009. Let n = -19.976 - t. Let a = -0.014 + n. Round a to one dp.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4724, -4797, -4870, -4943, -5016?\nAnswer: -5089","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -18775*q**2 + 26*q**4 - 18781*q**2 - 2*q**5 + 37567*q**2 + 2852*q wrt q?\nAnswer: -40*q**3 + 312*q**2 + 22","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1085692 or -1\/123?\nAnswer: 1085692","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 1457731?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3 - (0 - 12)\/(-3). Let n be 10\/8 + v - (-35)\/(-140). Factor 1\/4*a**4 + 1\/4*a**5 + 0*a**2 + n*a**3 + 0*a + 0.\nAnswer: a**4*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + (2 + -2*sqrt(125) - 6*(sqrt(125) + 2*sqrt(125))))**2.\nAnswer: -400*sqrt(5) + 50004","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a factor of 135447034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 28\/98 + (4743\/714)\/(1\/(-2))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 268330.1 litres in millilitres?\nAnswer: 268330100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 1607, -13410 in decreasing order.\nAnswer: 1607, 2, -13410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 110295720 to the power of 1\/6, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4182423 by 1394141.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -7*m**2 - 37*m - 6. Let o be y(-4). Let v be 144\/o + (-4)\/(-20). Solve v*g - j = -24, 5*g - 4*j + 5*j + 16 = 0 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 - -39. Suppose -5*l - 5*k = -25, 5*l - 2 = -2*k + t. What is the second derivative of 7*f - 2*f - 2*f**2 - 2*f - l*f wrt f?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2286672293634 take away 3.9?\nAnswer: 2286672293630.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**9)\/b**(3\/8)*b**(-8)\/b**(-2\/13) assuming b is positive.\nAnswer: b**(185\/104)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 2*s + 5*h + 24, -2*s + 4*h = -18. Let n be s + (-642)\/3 - 2. Let b be ((-14)\/n)\/(2\/3). Is 0 at most as big as b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2114, 4278, 6434, 8582, 10722, 12854, 14978?\nAnswer: 17094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 0.3 * 253583488\nAnswer: 76075046.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-2 + 2 + o)*(1 + o - 1) + 2*o**2 - 3*o**2 + 3*o**2)*(786006*o**2 + 2 - 785577*o**2 - 7*o - o) as b + u*o + h*o**3 + y*o**2 + r*o**4 and give r.\nAnswer: 1287","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 1 = -2*f, -5*u = -4*f - 0*f - 65. Let n(x) = x**3 - x**2 - x + 2. What is the remainder when u is divided by n(2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 597*x - 10755 + 10755 + 6221*x**2 - 597*x.\nAnswer: 6221*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 19.4+117.96103\nAnswer: 137.36103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 617769130?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-4)\/3*(-1)\/8. Suppose -3*k + 4 = k - 4*h, -5*k + 3 = -4*h. Which is greater: s or k?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -66132 greater than -66129?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -40115, -80174, -120237, -160304, -200375?\n\"Answer: -2*f**2 - 40053*f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*h - 1 - 7 = -15*h + l, 3*l = -3 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 63 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*p + 21*p - 194 = 0. Is p a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 146, 293, 438, 581, 722, 861, 998?\n\"Answer: -o**2 + 150*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 39*d + 1 + 685*d - 698*d.\nAnswer: 26*d + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 7 - (-9 + 10 + -3 - -6)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2264?\nAnswer: 2, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26*-75.2.\nAnswer: 1955.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -49*q**2*z**3 + 827*q**2*z + q**2 - 8*q*z**5 + q*z wrt z?\nAnswer: -294*q**2*z - 160*q*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -11*v**2 + v**4 + 6 + 184266*v - 3*v**4 - 184269*v - 9*v**2 to s*v + m + q*v**3 + k*v**4 + f*v**2 and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.54 or -3?\nAnswer: -0.54","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-5 - 3) + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -131123.36 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - -5. Suppose y = 2*m + 19, z = -5*m + 2*m. Suppose y = 2*w + 1. What is the least common multiple of 1 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.1644 and 152709220.\nAnswer: 152709220.1644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (0 + 28)\/(-7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7\/4 in -6, 35, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -102 - -107. Suppose 4*h - 5*b = -541 - 639, 0 = h - l*b + 310. Let u be 1\/6 + h\/(-60). Solve 3*o - 3*g = -o + 1, 0 = -u*o + g + 15 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*h - 10*h + 17*h - 172 = -41*z, 0 = 3*h + 2*z + 16 for h.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -121 - -101121?\nAnswer: 101000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = -c**3 - 105*c**2 - 152*c - 5001. Calculate q(-104).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*j = 8*j + 6473 - 5963. Calculate the greatest common factor of j and 36.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 67987 + -6987. Round x to the nearest ten thousand.\nAnswer: 60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1829504?\nAnswer: 2, 14293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 239ba (base 12) to base 5\nAnswer: 3014334","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 168 - 8. Let l = u - 51. Suppose 3 = 4*z - l. Does 5 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) = -21*m**2 - 6*m + 21. Let p(t) = -10*t**2 - 3*t + 10. Let z = -3 - 10. Let r(x) = z*p(x) + 6*w(x). What is the remainder when 69 is divided by r(2)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.26048*-3.\nAnswer: -0.78144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 336*v**3 - 4*v - v + 7*v + 120*v**3.\nAnswer: 456*v**3 + 2*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -12.7 - -13.6. Let m be 30\/50 - 57\/(-135)*-3. What is the nearest to 0 in 1\/6, m, r?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -193 + 140. Let p = -49 - i. Which is the second smallest value? (a) -1 (b) p (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000013376937 to 7 decimal places.\nAnswer: -0.0000134","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor b**2\/2 + 99*b - 199\/2.\nAnswer: (b - 1)*(b + 199)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 19554626 and 30698?\nAnswer: 19554626","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - 5*x - 302 = -967, 2*i = x + 465. What is the units digit of i?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16798 and 51983.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes after 11:47 PM?\nAnswer: 10:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f when two letters picked without replacement from effee.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8771.599 weeks to minutes.\nAnswer: 88417717.92","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((4\/(-18))\/((-456)\/(-684)))\/(2\/42)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 69738.65 millilitres in litres?\nAnswer: 69.73865","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 546.0939 + -0.0939. Let w = -546.221 + v. What is w rounded to two dps?\nAnswer: -0.22","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.2 - -0.3. Let c be (2 + (-51)\/27)*4. Put c, l, 0.4 in decreasing order.\nAnswer: l, c, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -6ab + 4?\nAnswer: -6a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = -80*p - 25. Let w be s(-20). Let m = -640 + w. What are the prime factors of m?\nAnswer: 5, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/11, -0.121218, 0.3?\nAnswer: -0.121218","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 11236376 (base 8) in base 10?\nAnswer: 2440446","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = 60*x - 357. Let z be u(6). Let n(o) be the first derivative of 0*o**z + 11 + 1\/4*o**4 + 15\/2*o**2 + 0*o. Find the second derivative of n(r) wrt r.\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -244, -2, 1, -4 in ascending order.\nAnswer: -244, -4, -2, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-1\/3))**(-5\/18)\/((c**(2\/7)*c)\/c)**(-47)*(c**(2\/7))**(-30)*c**(-6)\/c**(2\/19) assuming c is positive.\nAnswer: c**(-8299\/7182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-18)*-3)\/(15\/(-18)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 51032073 (base 8) to base 9\nAnswer: 22221622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 plus 124?\nAnswer: 140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*w - 5*q + 45, 5 = -4*w - 2*q - 1. Which is the smallest value? (a) -3 (b) 0 (c) 2\/23 (d) w\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 153 = -a + 6*a - f, -4*f + 132 = 4*a. Let s = a + -10. What is the tens digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 30 = -0*f. Let p be f - 0 - (-5 + 4). Let j(l) be the second derivative of l**3\/6 - l**2 - 22*l. Give j(p).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) be the first derivative of -37*k - 16 + 0*k**3 + 0*k**4 + 0*k**2 - 36\/5*k**5. Differentiate g(p) with respect to p.\nAnswer: -144*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 887*v - 3356 = 25915 for v.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6993?\nAnswer: 3, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of -2*k**3\/3 + 10*k**2 + k. Suppose 2*m - 20 = q, 26 = 4*q - 2*m + 76. Is i(q) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*c + c + 4*c - 5963 + 5965 + 2*c - 3*c**3 + 20*c**2 as n*c**3 + q*c + w*c**2 + a and give w.\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 303?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.5517302 rounded to 4 decimal places?\nAnswer: 0.5517","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -1*(3\/(9\/(-12444)) + 0). Let s = -6518 + l. Round s to the nearest one hundred.\nAnswer: -2400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {e: 1, b: 1, w: 1}. Give prob of sequence ew.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 2411 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 484340 and -0.04?\nAnswer: -19373.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p - 4*p = -70. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1519 - -1468 - (-78 + -3)?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = s**2. Suppose 32 = 3*a - 13. Let n = a + -3. Suppose -3 - n = 3*h. Let o(q) = -q**2. Determine h*p(d) - 3*o(d).\nAnswer: -2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 6 and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -14039\/3 + 393425\/84. What is the common denominator of u and -89\/56?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-120)\/(4 + (-74)\/18). Suppose -z = -3*t + 159. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = 1 + 2*y - 1 + 73*y**2 + 1 + 82*y**2. What is the units digit of x(-1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8034.288 millimeters to meters.\nAnswer: 8.034288","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 11326, 22757, 34188, 45619, 57050?\n\"Answer: 11431*p - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 23050 is divided by 640?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 55660176 and 74213568.\nAnswer: 222640704","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 4 - (3 - (4 - 1)). Suppose -2*i + p + 0 = 0. Is 2*46 - (0 - i) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 1994 divide 1163688430?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence illi when four letters picked without replacement from {i: 3, l: 4}?\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Are -156099 and -72 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(200)\/(sqrt(8) - sqrt(32)))\/(-2*sqrt(5)*1).\nAnswer: sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) be the second derivative of 3\/5*g**2 + 26*g - 2\/15*g**3 + 0 - 1\/30*g**4. Let s(x) = 0. What is x?\nAnswer: -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 77*f**2 - 392*f + 21. Determine g(5).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -120 divided by 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qsizkkbi. What is prob of picking 1 k, 1 i, 1 s, and 1 z?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 384\/160*(8\/2)\/(-8)\nAnswer: -6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k = -5*m - 8*k + 3, -2*k = 3*m - 1. What is the closest to 0.3 in 0.21, m, 1\/2, -2?\nAnswer: 0.21","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 223 + 1 - (-1)\/3*-3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -2*v**4 + 106090*v**2 - 803722?\nAnswer: -8*v**3 + 212180*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 r when three letters picked without replacement from {r: 13, b: 1, e: 3}?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 47833?\nAnswer: 31, 1543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1113 - 2337. Let u = c - -4988. Suppose 2*i - u = 22. What is i rounded to the nearest 100?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 1 = -q, 4*q + 1 - 37 = 4*k. Suppose 0*t - 10 = -q*t. List the prime factors of t.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/3? (a) -4 (b) -7\/25176 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - -2. Let k(p) = 5*p**2 - 2*p + 1. Let b be k(1). Suppose g*r = -b - 0. Which is smaller: r or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4871 + 7357 + 1327 + 6996 - 2042 - 2215)*(6*l - 6*l + 6*l) to the form b + r*l and give b.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {g: 6, n: 1, s: 4}. What is prob of picking 1 n and 2 s?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1 + -10010010111101110111?\nAnswer: -10010010111101111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 49*q - 4873. Give t(101).\nAnswer: 76","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 14 + 14 + -21?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 43880 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 s and 1 g when four letters picked without replacement from {s: 5, t: 1, h: 7, o: 1, g: 1}.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (612\/238)\/((14\/(-35))\/(14\/(-10)))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 169798?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) be the first derivative of -3*x**2 - 99 - 9*x - 11\/5*x**5 + 0*x**3 + 0*x**4. Find the second derivative of a(w) wrt w.\nAnswer: -132*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -22*h - 128. Let y be t(-6). Suppose x + y*x + 36 = 2*u, -5*x - 90 = -5*u. Calculate the smallest common multiple of u and 147.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 1570754976510 and -158.\nAnswer: 1570754976352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3 - -3.3. Let h be (-1 + -7)*(-52)\/112 - 2. What is the nearest to g in 0, -0.3, h?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 - 12*d + 28. Let x be p(10). Solve 5*v + 7 = -x for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 185 - 182.06. Let v = 1.1 - w. What is v rounded to one dp?\nAnswer: -1.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 + 0 - (5 - -2)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4 (base 13) to base 16.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*g + 14116 = 4*t + 14094, -38 = -5*t - 13*g for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 22 - 4*k + 0*k + 3*k. Let z be y(19). Suppose -z*p - 2*r + 19 = -0*p, 5*r = 2*p - 19. Calculate the remainder when p is divided by 5.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3 - 4 - -4) + -2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 211b53 (base 12) to base 7\nAnswer: 4302132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 84 and 147?\nAnswer: 588","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 32 (base 6) to base 8.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out 575 * -54672.\nAnswer: -31436400","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 20 (base 15) to base 4.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1341181 * 0.35.\nAnswer: -469413.35","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1.93 - 3652.\nAnswer: -3653.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 74*y**4 + 10 + 76*y**4 + 8*y**3 - y**3 to d*y**4 + h + t*y**3 + r*y + q*y**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -m**3 + m**2 + 4. Let j be k(0). Suppose -2*g + r = 5 - 3, -2*g = 2*r - j. Factor -2\/11*p**3 + g - 4\/11*p - 6\/11*p**2.\nAnswer: -2*p*(p + 1)*(p + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 + 15 = -3*g - 9*x + 8*x, 0 = 4*x - 8 for g.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -4 + 8, 2*p - 5*o = -10. Put 92, -1, p, 4 in descending order.\nAnswer: 92, p, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 6249, 6250, 6251, 6252, 6253?\n\"Answer: x + 6248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 2988036?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 2772?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1445*k**2 - 413 + 413.\nAnswer: -1445*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 73\/10368 and 109\/9216?\nAnswer: 82944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = c - 5*c**2 + 0 + 3 - 4 - 1. Let p be q(-3). Let x be 2\/5 - 80\/p. Solve -x*r = -4*r + 10 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13066 and 188?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -324.8*118.\nAnswer: -38326.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {t: 6, e: 2, s: 3, g: 1, o: 3}. Give prob of sequence tts.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -15, 2\/5, 0, 0.74, -1\/5 in increasing order.\nAnswer: -15, -1\/5, 0, 2\/5, 0.74","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (-11 - (-9 + (-7 - 0))) + -34\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -w**3 + 2*w - 1. Let g(c) = -209*c**3 - 122*c + 2. Let f(t) = -g(t) - 2*v(t). What is the second derivative of f(l) wrt l?\nAnswer: 1266*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(-6)*(-132396)\/(-5392). Let x = -11\/337 + b. Find the common denominator of x and 93\/32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*o = -5*t + 4, 0 = 5*o + 2*t - 20 + 1. What is y in -110*y**2 + 2093*y**o - 375*y - 230*y - 2098*y**3 = 0?\nAnswer: -11, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 96 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -7*q**2 - 5*q + 3. What is v(3)?\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kckckkkcckckkckc. Give prob of sequence kc.\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 1511201 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3818 and 220258511.\nAnswer: 1909","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 605 and 146588717?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.6 in 15, -1\/4, 5, 4\/7?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 480, -2478 in descending order.\nAnswer: 480, -3, -2478","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2445 + 2905. Is o a multiple of 23?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -26 divided by -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is ((188\/(-329))\/((-20)\/(-14)))\/((-4)\/(-6)*-3)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14804 - -4.797306.\nAnswer: -14799.202694","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22617.\nAnswer: 3, 7, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.17 + -0.37. Let t = -6 - -4. What is the closest to 0.2 in g, 3, t?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 4*b + 38 - 33, 2*i - 5*b = 8. Sort i, -32, 4, 1 in ascending order.\nAnswer: -32, i, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**2 + 1. Let n be s(1). Let a(q) = -q**3 + 10*q**2 - 12*q - 3. Let h be a(8). Suppose 5 = -3*f + h. Solve f = -n*d - 0*d for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 379586626?\nAnswer: 2, 29, 37, 79, 2239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -148860\nAnswer: -446580","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is -2916431 less than -37913620\/13?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1204 a multiple of 34?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pqjp when four letters picked without replacement from {j: 8, w: 1, q: 1, p: 8, f: 1}?\nAnswer: 14\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -9*g. Let k = 3 - 4. Let o be z(k). Suppose -o = -2*t - 1. What is the highest common factor of 32 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-2 - -1 - -2). Calculate the remainder when (-2 + i)\/(9\/(-6)) is divided by (-7)\/(-6) - (-5)\/(-30).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1583 = 9*b - 4663. Let l = b - 22. Is 42 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) -1.03 (c) -3 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 v when two letters picked without replacement from {v: 2, l: 3, e: 6, z: 1}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3\/6)\/((-1)\/1)*0. Let z be 0\/(-6 + 4 + m). Solve z = 2*q - 4*q + 4 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -32 - -29. Let f be (-4)\/14 + (-130)\/35. Let y(n) = 42 + 3*n + 2*n - 38 - 2*n. Let h(k) = -3*k - 3. Calculate c*y(l) + f*h(l).\nAnswer: 3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 175608950 divided by -55?\nAnswer: -3192890","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + 19 + 1 - (-410 + 430).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 48 + 8 = 2*z. Suppose -m + 17 = k, 4*k = 3*m - 5*m + z. 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: Simplify (r*r**(2\/7))\/(r*r**(-3)*r*r)*r\/(r**(-2\/3)*r)*r*(r*r\/r**(-1\/7))\/r*r assuming r is positive.\nAnswer: r**(107\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 q when four letters picked without replacement from qqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -h**2 + 8*h + 1. Let t(i) = 8*i**3 - 7*i**2 + 41*i + 5. What is -5*p(c) + t(c)?\nAnswer: 8*c**3 - 2*c**2 + c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -93\/2, -3, -0.2211?\nAnswer: -0.2211","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f**2*t - 6305*f**2 - 2987069*f*t + 14*f + 7 wrt t.\nAnswer: 2*f**2 - 2987069*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-6)\/5)\/((-21)\/(-140)). Let s be 8\/(-5)*-2*(-1)\/g. Solve 2\/5 - 2\/5*v**2 + s*v - 2\/5*v**3 = 0 for v.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (3 + 1)*1 + 1. Let p be a\/20 + (-311)\/(-4). Let n = p - 32. List the prime factors of n.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -1196 (base 10) to base 7.\nAnswer: -3326","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 184 + -52. Let j = -129 + w. What is the closest to -4 in j, -3\/4, -2\/9?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -348 - -452. Let f = -103.062 + q. What is f rounded to 1 dp?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - -61?\nAnswer: 5c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3442*a + 3280*a + 2268 = 0 for a.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 515340 - 515328. Let b be 1\/(-1 - 12\/(-14)). Let w(a) = a**3 + 10*a**2 + 8*a - 7. Let y be w(b). What is the greatest common divisor of y and h?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*c - 6158 = 8152. Is c a multiple of 146?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, z: 4, b: 1, v: 1, g: 1}. Give prob of picking 1 z and 1 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1317472?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -65*r + 8647. What is c(133)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -24\/1919 and -20\/6161909?\nAnswer: 6161909","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 11401 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 6 divide 7482?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add 6.3118455 and -1.2.\nAnswer: 5.1118455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-14)\/(-6) - 1)\/(-2).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 1595287010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (w**2 - 2*w**2 - w**2)*(w + 3*w - 3*w + (5 - 3 - 4)*(-2 + 2 + 3*w)) to the form c*w**2 + h*w + t*w**3 + a and give t.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 1, i: 1, l: 1, f: 1}. Give prob of sequence fu.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 3*d - 3. Let q be h(2). Let s be q - -2 - 2\/2. Suppose 0 = -2*n + 2*f - 6*f + 6, s*n - 36 = -2*f. List the prime factors of n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*a**2 + 0*a**2 + a + a wrt a?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2 + 30131*u**2 + 50355*u**2 + 20980*u**2 + 13996*u**2.\nAnswer: 115462*u**2 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 284, 605, 888, 1115, 1268?\n\"Answer: -3*t**3 - t**2 + 345*t - 57","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 283927 and -1501?\nAnswer: 285428","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 13 - 7. Let m be 8\/6*n - 1. Suppose -1 = 3*j - m. Sort 0.1, -1, j in decreasing order.\nAnswer: j, 0.1, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2420) + sqrt(2420) + 1*sqrt(2420) - sqrt(2420))*-2)\/(sqrt(60)\/(sqrt(6)*1) - sqrt(90)*-2).\nAnswer: -44*sqrt(2)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 80?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*i - 14*i = 252. Let u = i + 44. Solve j + 3*h = 11 - 31, -3*h = u*j + 25 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -52.2 - -58. Let r = g - 5.5. What is the second smallest value in 3, r, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -49 - -96. Let k = 50.65 - m. Let q = k + -3.9. Which is the closest to 0.1? (a) 0.2 (b) -0.4 (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = 2993*x + 39. Let o(n) = 1996*n + 28. Give -5*a(i) + 7*o(i).\nAnswer: -993*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 33 and 381?\nAnswer: 4191","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 97 (b) -27 (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -11*b**2 - 17*b + 4. Let f(h) = 14*h**2 + 17*h - 3. Let y(g) = -4*f(g) - 5*m(g). What is the common denominator of -46\/21 and y(19)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1*(-6)\/(-6)*-10?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 197.798517 hours in weeks?\nAnswer: 1.177372125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -95641 divided by 177.\nAnswer: -95641\/177","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 13166 (base 9) to base 3\nAnswer: 110012020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -7 + 3*p + 8 + 3*p + 3 - 2*p**2 to k + r*p**2 + m*p and give m.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 42c9b7a1 - 0?\nAnswer: 42c9b7a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -32*((-14)\/(-4) - 2). Let v = f + 142\/3. Which is the closest to v? (a) -0.4 (b) -5 (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 225715085 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 25*p*q**2*w + 2*p*q*w + 3*p*q + 3*q**3*w**2 - q**3 + 42*q*w**2 wrt q.\nAnswer: 50*p*w + 18*q*w**2 - 6*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12973.98 from 0.70814842.\nAnswer: -12973.27185158","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5160 by 1032.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2480?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(28)\/sqrt(32) - (sqrt(686) - -1*sqrt(686)))\/(-3*(sqrt(2) + ((sqrt(20)\/sqrt(5))\/sqrt(2) - sqrt(2)))))**2.\nAnswer: 21175\/144","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -3 - -5. Suppose -5*d + 240 = y*f, 0*f - 2*f = -d - 264. Suppose 6*b - f = b. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c - 26. Let p be i(11). Let u be ((-4)\/5)\/((-3)\/p). What is the least common multiple of 1*(u + 1 - -25) and 8?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.11 less than -416.12?\nAnswer: -416.01","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8*4\/(-24))\/(832\/36816).\nAnswer: -59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*g - 4*a = -33, 264 - 167 - 163 = 8*g - 2*a for g.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.013868 rounded to 4 decimal places?\nAnswer: -0.0139","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 a when three letters picked without replacement from kkkkaaakkaaakkak?\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 7*h**3 + h**2 + 7*h. Let t be s(6). Let i = -28585\/18 + t. Calculate the common denominator of i and ((-29)\/14 - -2)*(-24 + 121).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1447442 to the power of 1\/5, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = -511*y + 8. Let d(n) = 526*n - 7. Give 6*d(r) + 5*o(r).\nAnswer: 601*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((75651\/(-2338))\/(-151))\/(33\/(-42))?\nAnswer: -3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 74858611 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 88685.37l in millilitres?\nAnswer: 88685370","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 6, 0, -26.\nAnswer: -26, 0, 6, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + (-5*(sqrt(65) - (sqrt(65) - -1*sqrt(65))))\/(sqrt(5) + (sqrt(135)\/sqrt(3))\/sqrt(9) - sqrt(5)).\nAnswer: -3 + 5*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 940*b = -522*m + 945*b - 6279, 0 = 5*m + b + 57 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -r + 3. What is u(-6)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 5:47 PM?\nAnswer: 5:35 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -3165, -6306, -9447, -12588, -15729?\n\"Answer: -3141*g - 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -79 + -3?\nAnswer: -7c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131 = -11*f - 10. Let d(m) = -m**2 + 11*m + 2. Let x be d(f). Differentiate 49*h**4 - 11 - 74*h**x + 74*h**2 with respect to h.\nAnswer: 196*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -6*h - 3. Let g be x(-2). Let l be (g\/(-12))\/((-1)\/(-24)). What is l rounded to the nearest ten?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 90356*c**5*v - 4*c**4*v + 9*c*v + c - 618*v wrt c.\nAnswer: 1807120*c**3*v - 48*c**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 137 + (-100 - -45) + -12?\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2588751?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 2*l**3 + 2213*l**2 - 7969*l - 220892. Give u(-1110).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 18069.3 to the nearest one thousand.\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from savaasasvvva. What is prob of picking 1 s and 3 a?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -121 (base 8) to base 4.\nAnswer: -1101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = -1434*i + 584990. Give f(408).\nAnswer: -82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 - -8 - ((15 - (2 - -8)) + -7).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.4 * -123559.\nAnswer: -49423.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**14\/g)**(-16) assuming g is positive.\nAnswer: g**(-208)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 (base 14) in base 7?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dd when two letters picked without replacement from dhddddddddddhhdhddd.\nAnswer: 35\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3048 divided by 3.\nAnswer: 1016","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 6303 + 0?\nAnswer: 6303","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 175 minutes before 5:31 PM?\nAnswer: 2:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 8\/2 + -8 - 8. Suppose -71*q + 7 = -72*q. What is the least common multiple of 21 and (0 + q)\/(4\/f)?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62945 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 19*g + 3010. Determine o(-161).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1296469481 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -43667+0.5\nAnswer: -43666.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.39767 rounded to 1 decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -60 = -5*y + 5*j, -479*j + 483*j + 53 = 3*y for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(567) + (-1 + sqrt(567))*-4 + 5*(0 + sqrt(567)) + (sqrt(567) + 1)*-2 + -1)*-4*-3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 852, 850, 846, 840?\nAnswer: 832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -500*x - 187. Is h(-16) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -9458 + 47294\/5. Which is the nearest to 4? (a) -0.3 (b) p (c) -0.2 (d) -68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = g**2 - 7*g + 7. Let n be l(6). Let v be 6 + (n - (2 - 1))\/(-2). Solve 2*k = -16 + v for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (84 + -125)*((-2)\/(-2) + -2). Let z(y) = 86 - j + 12*y**2 - 45. Let q(l) = -3*l. What is q(z(p))?\nAnswer: -36*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand o**5 + o**4 - o**4 + 4*o**5 + 0*o**5 + o**5 + (-7*o**2 + 7*o**2 - 7*o**3)*(-2*o**2 - o**2 + 5*o**2) - 10*o**5 + 0*o + 0*o.\nAnswer: -18*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/9*1080\/84?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000026337 to 7 dps.\nAnswer: -0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the first derivative of 2*h**3\/5 + 22176*h**2\/5 + 81962496*h\/5 + 6414. Let b(j) = 0. Calculate j.\nAnswer: -3696","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 81746?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) be the third derivative of -w**4\/12 + 6*w**2 + 5*w. Let o(k) = 10*k**2. Determine o(a(b)).\nAnswer: 40*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 122853.\nAnswer: 3, 31, 1321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -11 + (26 - (-4 + 14))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 66183550?\nAnswer: 2, 5, 17, 77863","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -17. Calculate the remainder when (k - -5) + (18 - -2) is divided by 9.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23590569 divided by -501927\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -149826 divided by -6?\nAnswer: 24971","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 735 - 16147\/22. What is the common denominator of 99\/10 and c?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20\/((-3740)\/51)*3\/9*2?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -57554 times 2?\nAnswer: -115108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(h) be the third derivative of h**6\/360 + h**5\/60 + 23*h**4\/24 - 2*h**2. Let r(s) be the second derivative of d(s). Let f = 255 + -260. Give r(f).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2 - -2. Suppose -2*b - 6 = -k*b - 4*j, 9 = b + 4*j. Let a(v) = b - 2 + 0. Let s(w) = -w - 10. Calculate 22*a(n) - 2*s(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes after 1:54 PM?\nAnswer: 3:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5102 is divided by (-1976)\/(-14820) - 2\/6*1213\/(-5).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - ((26 + -35 - -98) + (-15 - -2)).\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -4*f - 7. Let r be b(-3). Suppose -3*g = -r*g + 3000. What is g rounded to the nearest one thousand?\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 495 + -95. Let a = v - 128. 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: Let f be ((-33)\/(-2))\/(4 - 618\/24). Is 0 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the third derivative of 1\/120*z**6 + 0 + 7*z**2 + 5\/6*z**3 - 1\/12*z**5 + 0*z - 1\/24*z**4. Let s(x) = x**2 - 1. Determine -b(l) - 5*s(l).\nAnswer: -l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 655446 is divided by 655327?\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*p + 4, 83*p = -5*q + 87*p + 4. Solve 16 = m + 3*m, -4*k - 3*m + 4 = q for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*a - 5*a + 0*a + (0 + 0 + 2)*(-3*a + 3*a + 2*a) + 0*a + a + 0*a + (-3 + 1 - 5)*(-4*a - 2*a + 7*a).\nAnswer: -9*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 227760?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 330661, 330660, 330659, 330658, 330657?\n\"Answer: -u + 330662","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = 21*y + 860. Give r(-42).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Put -112\/65, 2, -1 in decreasing order.\nAnswer: 2, -1, -112\/65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 4430767497 - 1802\nAnswer: 4430765695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 65257 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0533 to three dps.\nAnswer: 0.053","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:28 AM and 8:08 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/((((-6)\/(48\/8))\/(-3))\/3).\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be -8 - (-3 + (-2)\/(-2)). Let o = 11369 + -11367. Calculate the smallest common multiple of o and 8\/3 - (-4)\/j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1533*w - 5854*w - 8202*w.\nAnswer: -12523*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + -3. Suppose o*l = -0*l - 2. List the prime factors of -7 + 75 - (l - -4).\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -y**3 - 6*y**2 - 4*y. Let v = 28 + -24. Suppose -q = q + v. Let n be (2 - 17)\/(-1)*q\/6. Calculate s(n).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.6 + 12.5685.\nAnswer: 11.9685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**2 + 6*j + 9. Let g be d(-5). Suppose -2*f + 272 = 3*f - 2*x, -g*f - x = -228. Let y = f - -31. Is 22 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1495*b**4 + 2*b + 115*b**4 - 2*b + 9208 + 2226*b**4 wrt b?\nAnswer: 15344*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/3 - n**2 - 81*n. Let t(x) = 1. Let s(p) = -k(p) - 2*t(p). Let c(u) = -9*u. What is s(c(q))?\nAnswer: -324*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + (-2 + -2 - (0 + -3)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 656 and 176?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 585 minutes after 5:11 AM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 11235 (base 7) to base 13.\nAnswer: 13c8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 413*w**2 + 267*w**3 - 490*w**3 - 1 + 221*w**3 - w**4 - 4*w**4 + 6*w**4 + (-w - 4*w + 6*w)*(w**2 + 3*w**3 - w**2).\nAnswer: 2*w**4 - 2*w**3 + 413*w**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o*o*o**0)\/o**3)**(1\/12)*((o\/(o*o*o**(1\/2)\/o*o*o))\/o)\/(o\/((o\/(o\/o**(-1\/6)*o*o))\/o))*o**(-1\/5)*o**(-6)*o assuming o is positive.\nAnswer: o**(-259\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.3 and -404?\nAnswer: -121.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + 185*r + 8443. Let l be j(-82). Let n(v) = -4*v**2 - 6*v - 8. Let w(h) = 3*h**2 + 5*h + 7. Let q(t) = 2*n(t) + 3*w(t). Determine q(l).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-74)\/(-4) + (-6)\/(-4). Let g = 26 - w. Solve -l + g = -3*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -11*c**2 - 3*c + 3. Let h be a(6). Let o = 1617\/4 + h. Find the common denominator of o and 26\/(-4) + 28\/(-20) + 1.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = -q**3 - 3*q**2 - 6*q - 5. Calculate the remainder when 68 is divided by t(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 4 + 31412?\nAnswer: 31421","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) be the second derivative of o**6\/360 + o**5\/90 + o**4\/72 - o**2 - 3*o. Let g(m) be the first derivative of r(m). Let g(v) = 0. Calculate v.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 10 divide ((-4)\/6)\/(13 + (-524061)\/40311)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) be the third derivative of 3*x**7\/70 + 5*x**4\/24 + 2*x**2. Find the second derivative of k(a) wrt a.\nAnswer: 108*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -180 in -3, 4, 0, 1\/3, -5, 37?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 62*v = 76*v - 55*v - 123 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = -46*h + 49*h. Let g = 15.6 + -15.1. Let x = -0.17 - 0.33. Which is the biggest value? (a) h (b) x (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) be the first derivative of -w**4\/48 - w**3\/6 - 3*w**2\/8 + 10*w - 2. Let d(o) be the first derivative of z(o). Suppose d(r) = 0. Calculate r.\nAnswer: -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 4.08582571 to four decimal places.\nAnswer: 4.0858","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 328 + -324. Suppose -b*k + 10 = -2. Determine i so that 2\/5*i**4 + 0 + 0*i - 1\/5*i**k + 0*i**2 - 1\/5*i**5 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1993*f + 1989*f - 12 = 0 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -x**5 + 155499*x**4 - x**3 + 2*x**2 + 10*x - 300 wrt x?\nAnswer: -60*x**2 + 3731976*x - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3775, -3603, -3315, -2911?\nAnswer: -2391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -98895.7 to the nearest 100.\nAnswer: -98900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 62769 a multiple of 450?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (20 - 15) + (-5 - 1).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 61*a + 3*s = 66*a - 1074985, -4*a + 859988 = -5*s. Is a composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 6*w + 2 - 3 + 1. Let d(u) = -u**2. Calculate d(m(n)).\nAnswer: -36*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(144)\/sqrt(8))**2 - (sqrt(2) - (sqrt(2) + 2*(1*sqrt(2))**2)).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = 7911*n**2 - 17*n - 117. Let y(u) = -87021*u**2 + 188*u + 1264. Let c(v) = -23*q(v) - 2*y(v). Find the second derivative of c(b) wrt b.\nAnswer: -15822","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (7 - (-19 - -40)) - (-1 + 0).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) be the third derivative of 815*n**4\/12 + 85*n**3\/6 - 8*n**2 - 3. Is u(6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -249, 130, 1149, 2808?\nAnswer: 5107","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 61541813 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1974980 + 0.025.\nAnswer: -1974979.975","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 180 - 177. Suppose 5*o - b*m - 45 = 4, 5*m = o - 1. Does 11 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 41*x - 24. Let s be r(-20). Is 3109\/3 - s*(-5)\/(-30) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7 + 16. Let k(f) = -2*f + 0*f - 2 + 13. Let a be k(l). Is a equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 4028 and 371.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 100 - 272\/3. Is 10 <= b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -3 + 3 - (2 - 3). Suppose -3*k - 13 = -3*m - l, 5*k + 4*m + 2 = 0. Sort k, 2, 0 in increasing order.\nAnswer: k, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 224 + -1c752?\nAnswer: -1c52d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = -15*t**3 - 2*t**2 + 12*t - 2. Let i(k) = 60*k**3 + 9*k**2 - 48*k + 9. Let p(z) = -2*i(z) - 9*l(z). What is the second derivative of p(d) wrt d?\nAnswer: 90*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:34 PM and 3:55 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f + 112 + 18 = 0. Calculate the remainder when 53 is divided by f.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -11 + -3051?\nAnswer: -3102","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3243, 6140, 8701, 10926, 12815?\nAnswer: 14368","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 24*n**3 + 34*n**2 - 26*n + 63. Let f(x) = 8*x**3 + 12*x**2 - 9*x + 22. What is -17*f(t) + 6*m(t)?\nAnswer: 8*t**3 - 3*t + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1 - (1 + -16 + 2). Solve 0 = 8*n - j*n - 30 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -20 - -23. Suppose 1739 = r*t - 403. Let g = t + -509. What are the prime factors of g?\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(o) = -11*o**3 - 3*o**2 - 9. Calculate p(-4).\nAnswer: 647","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -36 - (118 + -109 - (68 - 0)).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 134370177?\nAnswer: 3, 157, 285287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 + 20. Suppose j*d - 96 = -d. Suppose d + 12 = 2*l. Calculate the greatest common factor of 22 and l.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 11 - -1) + -515 + 525?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.030966809 and -21.3206.\nAnswer: -21.289633191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + -9 + 4 + 9 + 1.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -5 + (-3 - (0 + -7 - (-75 - -63))).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 289585 - 59648. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 27 and 6?\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-30 + 2 - 3) + 15 + -2?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18006\/27009*39\/(-1 + 2).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 23496 and 33108.\nAnswer: 1068","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -219393*0.5\nAnswer: -109696.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24106036 is divided by 734?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*n + 1. Let d = n + 1. Solve -2*l - d*l = 20 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -b99d (base 14) to base 15.\nAnswer: -9792","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0001494032 to 7 dps.\nAnswer: 0.0001494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-39))\/((-2)\/(-108))*((-1177488)\/216)\/629?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 0 + 2\/(-2)*-40. Let c be 4\/8*r\/2. Suppose 162 = 3*n + 3*l, -3*l = -c*n + 5*n + 270. Round n to the nearest 10.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**6 - 3*v**5\/20 + 19*v**4\/2 + v**3\/6 + 299*v. What is the third derivative of t(j) wrt j?\nAnswer: -720*j - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (38148\/(-9))\/(-11)*(-3)\/(-2). Suppose -k = 11*d - 9*d. Let y = d - -444. Is y composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -3972 or -3958?\nAnswer: -3958","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwpbwpuwpbupppwpbwp. Give prob of sequence wpp.\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 20765 - 20767 - 11*c**2 + 4*c - 14*c**2 + (6*c - 6*c + 5*c)*(-2*c + c - c) in the form z + p*c**2 + m*c and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 + -1 + -7 - -13?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: ((-289)\/(-7803))\/(1\/(-1))\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*w**2 + 2*w**2 - 2*w**3 + 8*w + 3*w**2 to k*w**3 + f*w**2 + j*w + l and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 k when two letters picked without replacement from dootitiikoxookoooodo?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -260, 251, 2, -3 in increasing order.\nAnswer: -260, -3, 2, 5, 251","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**4\/7 - 32*b**3\/7 - 17*b**2\/7 + 32*b\/7 + 20\/7 = 0.\nAnswer: -10, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = c**2 - 10 + 6 + 6 + 2*c. Let b be v(-2). Suppose -16 = 5*r - 1, 0 = -b*f - 3*r + 11. Calculate the least common multiple of f and 4.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -57947 + 1.07.\nAnswer: -57945.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*v = -9 - 11 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -104373.8714 rounded to the nearest one thousand?\nAnswer: -104000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*r - 320 = 5*t, 3*t - 10 = 2*r - 223. Let n be (r\/(-60))\/(1\/(-4)). Solve 4*d - 20 = 0, 3*a - n*a + 3*d - 15 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 369487 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -58 - (-50 + -30 + 52).\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(171) + 2*sqrt(171)) + sqrt(171))\/(2*sqrt(900)))**2*2.\nAnswer: 152\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -a (base 13) to base 5.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 2057, 2252, 2633, 3200?\n\"Answer: 93*x**2 - 84*x + 2048","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = 6*a**2 - 2*a - 7. Let x(d) = -d**2 - d + 1. Let m(t) = f(t) + 5*x(t). Does 8 divide m(9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 153289.\nAnswer: 17, 71, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 12520*f + 3 + 7027*f.\nAnswer: 19547*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1.92 - -1.8928. Let m = 0.02720737 + p. Round m to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -764.6 - 15.64\nAnswer: -780.24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2288679016894 + 0.4.\nAnswer: -2288679016893.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 49*y. Let u(v) = v**2 + 14*v - 3. Let b be u(0). Let q(d) = -2 + 2 + 10*d. Let t(p) = b*w(p) + 14*q(p). Calculate t(-1).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*z - 29 = -u + z, -2*z + 2 = 0. Suppose -p + 3*p - 90 = 0. Suppose 2*m - 4*y - 39 = p, 112 = 2*m + 3*y. What is the remainder when m is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s + 3*j + 10 = 3*s, 5*j - 15 = -3*s. Suppose 5*h = 4*a - 36, 28 = -2*a + 4*a - s*h. Solve 0 = -4*l + 20, -2*l - 5 = t + a*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1394 - 1786889*z**3 + 1394 + 1786924*z**3.\nAnswer: 35*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 92.15165 milligrams in grams?\nAnswer: 0.09215165","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 7*(-64)\/(-28) - 20?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -72, -141, -210, -279?\n\"Answer: -69*y - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in twenty-nine fifths of a microgram?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -805*g**3 + 11*g**2 - 411*g - 423. Calculate i(-1).\nAnswer: 804","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) be the third derivative of m**5\/30 - 11*m**4\/12 + 2*m**3\/3 - 14*m**2 - 2. What is the units digit of d(13)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xipivxwvpvivmpxxpp. What is prob of sequence im?\nAnswer: 1\/102","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((w*w\/(w*w\/(w**(4\/11)*w)))\/w*w**(-9)*w)\/(w**(-1))**(-17))\/((w*w**5*w)**(-15\/4))**(-16) assuming w is positive.\nAnswer: w**(-4891\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 63 - 91. Let h be 2 + (0 - i\/(-10)). What is the nearest to 2\/5 in -2\/7, h, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74494709 is divided by 532105?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.15 (b) 4 (c) 3\/8 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -42. Suppose j + 138 = 3*n. Calculate the remainder when n is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 566?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 10321061 divided by 13?\nAnswer: 10321061\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*d + 28*d + 206 = -16*d + 1849 for d.\nAnswer: 53","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 26040 is divided by 367?\nAnswer: 350","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1\/2)\/(25\/50). Let p be 0 - ((-1)\/3 + 0). Which is the third smallest value? (a) -0.2 (b) t (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**4\/j**(-2\/7))\/(j**4*j*(j*j**(-1)*j*j)\/j))\/((j**(2\/5))**(8\/15))**(-41) assuming j is positive.\nAnswer: j**(3692\/525)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 27*-0.11\nAnswer: -2.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -2 + n - n**2 - 2*n + 8. Suppose -o = -0*o - 5*h - 18, 2*o + 2*h = 0. Suppose 2*q + o*i - 2*i = -3, 3 = q - i. What is l(q)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 30 - 21. Suppose h = 3*o, -f - 2*o + 103 = -176. List the prime factors of f.\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -27*q = -66*q + 351 for q.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -25, 1, -3, -17 in descending order.\nAnswer: 4, 1, -3, -17, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = k + k + k**3 - 4*k + 0*k**2 + 4*k**2. Let g(t) = -3*t**3 + 3*t**2 - 3 + 7*t + 2 - 11*t**2 - 5*t**2 - t**3. What is -2*g(j) - 7*q(j)?\nAnswer: j**3 - 2*j**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w**(-1\/7)\/w**(-8\/5)*(w**(-3)*w*w)\/w*w\/(w*w**5) assuming w is positive.\nAnswer: w**(-194\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p = p + 2. Suppose 0 = -m + p*t + 8, 3*m = -0*t - 3*t + 51. Let y = 48 + m. Is y a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a**3 + 2*a - 1. Let t be s(1). Suppose -2*p + t = -3. Suppose -p*m + 54 + 51 = 0. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3216 + 3216 + 59*w)*(11 - 3*w**3 - 11) in the form f*w**3 + n*w + k*w**4 + r*w**2 + c and give k.\nAnswer: -177","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + (sqrt(128) - (sqrt(128) + (-1 + sqrt(128))*2)) + 4*(sqrt(128) + 1*sqrt(128)*2))**2.\nAnswer: 12800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 35 - 34.8. Sort 5, q, 2\/13 in descending order.\nAnswer: 5, q, 2\/13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -1. Suppose -i = -0 + 5. Is i not equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 18, 47, 84, 129, 182, 243?\nAnswer: 312","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify d**(-1\/4)\/d*d*d**(3\/11)*(d\/((d*(d*d**(2\/3))\/d)\/d))**9 assuming d is positive.\nAnswer: d**(133\/44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 88*y**6 - 5*y**6 - 58*y**2 + 5 - 5 wrt y.\nAnswer: 9960*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**4\/6 + 4*r**3 + 20*r**2\/3 - 16*r - 88\/3.\nAnswer: (r - 2)*(r + 2)**2*(r + 22)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 22 - -1. Suppose d + 16 = 3*u. Let o = u + -8. What is the units digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 45271 is divided by 117.\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75430626 + 55.\nAnswer: -75430571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 greater than or equal to 102\/647?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 888*a + 1353. What are the prime factors of q(22)?\nAnswer: 3, 11, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -118*i**3 - 7587*i**2 + 6188802 with respect to i.\nAnswer: -354*i**2 - 15174*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -173 + 177. Let t(a) = -a**2 - a + 2. Calculate t(y).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 41 and 1499268320.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**5*p)\/(p\/((p*p**(-2\/9))\/p)*p*p))\/(p**2)**(-37) assuming p is positive.\nAnswer: p**(691\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.4 in 13\/3, 2, -3?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/5 (b) 76 (c) 1 (d) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2*z - 2)*(1 + 0 + 0) - 2 + 2 + 2*z + (2 + 2 - 2)*(-3*z + 0*z + z) - z + 1 - 1 + 15 - 27*z - 15 + 0*z - z - 2*z as c*z + j and give c.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2674611?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 117.48955776?\nAnswer: 143.48955776","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 1)*(-p**2 - p**2 + 3*p**2 + 2*p - 4*p**2 - 2*p + (0*p + 5*p - 3*p)*(6*p - 2*p - p)) in the form i*p + u + g*p**2 and give g.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1664265 (base 7) to base 2.\nAnswer: 111001001110101110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + 35 - 52352\/1344.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 236, 237, 238?\nAnswer: 239","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -5*f - 7. Let z(i) = 4244671*i. What is v(z(h))?\nAnswer: -21223355*h - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.09 - 0.274?\nAnswer: -0.364","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 3\/8 at most -0.083?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: (3906\/294 + -13)*(-3 - (-4 + 2))\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -422*h**3 - 21255*h**2 - 47515787 wrt h.\nAnswer: -1266*h**2 - 42510*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) = 46*l**2 + l. Let r(x) = -x - 1026. Calculate n(r(u)).\nAnswer: 46*u**2 + 94391*u + 48422070","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 132\/(-20) + 1944\/1140 + (-6)\/57.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:52 PM and 10:14 PM?\nAnswer: 322","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -10*(-14)\/252*9. Solve -y + 14 = 5*z, 5*z = 4*y + 14 + b for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(405)*-2 + sqrt(405) - sqrt(405))**2.\nAnswer: 1620","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -8*v**2 + 18. Let k(h) = 6 - 30*h**2 + 14*h**2 + 13*h**2. Let j(o) = -5*i(o) + 14*k(o). Differentiate j(m) with respect to m.\nAnswer: -4*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 121716 divided by -36?\nAnswer: -3381","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of o**6\/40 - 5*o**5\/16 + 65*o**4\/48 - 55*o**3\/24 + 3*o**2\/2 + 128*o + 1. Let i(u) = 0. What is u?\nAnswer: 1\/3, 1, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 42000 - 5*o**3 - 42140 + 4*o + 21*o with respect to o.\nAnswer: -15*o**2 + 25","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiztzttttzztzztx. What is prob of picking 1 z and 1 i?\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 3 + 10)*(-1 + 3 - 3)*(3*a - 7*a + a + (-2 + 0 + 4)*(-2*a - 3*a + 3*a)).\nAnswer: 70*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 97 - 93. Let x(c) = c**2 - c - 2. Let t be x(-1). Solve 4*r + u = 8, -2*r + u + f = -t*u for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 211, 464, 717?\nAnswer: 970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/72 and 124\/198 - (-36 - -36).\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h*h\/h**(-21))**(1\/4)\/((h\/(h\/h**(17\/3)*h))\/(h*h**(-9\/8))) assuming h is positive.\nAnswer: h**(23\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 9*y - 96. Let c(a) be the first derivative of -a**2 - 6135. What is f(c(k))?\nAnswer: -18*k - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -89 (base 10) to base 9.\nAnswer: -108","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 15 divide 21735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 34 + -26. Suppose 0 = -n*l + 6*l + 10. Suppose l*k - 16*k + 154 = 0. What is the lowest common multiple of 10 and k?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 8 - (0 - 2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 172533.\nAnswer: 3, 17, 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 18. Solve 0 = f - v*f - 5 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -47*a - 228. Let y be d(-4). What is y rounded to the nearest 1000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -o**3 - 9*o**2 - 4*o - 8. Let m be w(-11). Suppose m = 8*n - 6*n. What is the tens digit of n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14*(-4)\/96*(-70)\/49.\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 861297?\nAnswer: 3, 287099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the first derivative of 40*t**3\/3 - t**2\/2 - t + 1. Let u be y(-1). Suppose -u = -2*f - 6. List the prime factors of f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 113775 and 333.\nAnswer: 341325","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -846.5 + 846. Let t = -190 + 1332\/7. What is the biggest value in t, 4, v, 1\/7?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -9\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -33*q + 38*q - 20. Suppose -488 = -2*n - 0*b - 5*b, -3*n = -q*b - 778. Let h = -159 + n. What is the tens digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -193529 less than or equal to -193527?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 5 (base 10) in base 3?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (343\/(-28))\/(2\/(-4)*(-11)\/(-11))*-4?\nAnswer: -98","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) be the first derivative of w**3\/3 - 11. Let t(y) = 4*y**2. What is k(t(c))?\nAnswer: 16*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 913.\nAnswer: 11, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/((v\/(v\/((v\/(v\/v**(-1\/2)))\/v)))\/v)*v*v*v)\/v)**(-5)\/(v*v**15)**(-26) assuming v is positive.\nAnswer: v**(767\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.887752 decades in millennia?\nAnswer: 0.02887752","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-1 - (-8 + 3))*-1. Let o(c) = c + 3 - 2 - 2 - c**2. Let b(l) = l - 1. Let w(h) = 6*b(h) - o(h). What is w(t)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is k in 4*k**5 + 100*k**4 - 13476*k**3 + 39436*k**2 + 448*k - 52560 = 0?\nAnswer: -73, -1, 2, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(u) = 103*u - 1. Let a(g) be the first derivative of -g**2\/2 + 6. What is a(c(i))?\nAnswer: -103*i + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 17 = -i, -2*i - 3*o - 4 = -5*o. Let x be -1*i\/(-3)*5. Suppose 1 = h + 5*c, -x*h - 4*c + 7 - 2 = 0. Solve -3 - h = 2*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 13 + -16. Let r be (-1495)\/1196 - 134\/(-56). What is the third biggest value in s, r, -0.2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 + 3 - 1856*d.\nAnswer: -1856*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 5*y - 3 = 36, -169 = -5*h - y. Suppose -4*j = -h - 14. List the prime factors of j.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*a + 2*w = 2, -30 = 5*a + 4*w - w for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 153811 and 6891997?\nAnswer: 2107","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 7612950108 to the power of 1\/4, to the nearest integer?\nAnswer: 295","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -92369 to the nearest 10000.\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = -103*o + 337. List the prime factors of f(-15).\nAnswer: 2, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -30 (base 13) to base 11.\nAnswer: -36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) be the first derivative of 3*x**4\/4 + x**2 - x - 2. Let n(d) = -d**2 + d + 7. Let w be n(3). Determine j(w).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 42*c**2 + 1. Suppose 3*i - 90 = i. Suppose -i = -21*q + 18*q. Calculate the remainder when s(-1) is divided by q.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 v when three letters picked without replacement from {v: 5, t: 8}?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 4 (b) -3\/2 (c) 2\/3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the second derivative of -v**5\/10 - 7*v**4\/6 - 7*v**3\/3 + 15*v**2 - 10*v - 56. Determine q, given that s(q) = 0.\nAnswer: -5, -3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = -4*k**2 + 2*k + 2. Let l(q) = -7*q**2 + 5*q + 5. Let r be (2\/7)\/((-5)\/(-35)). Let u(b) = r*l(b) - 5*h(b). Let x(z) = -5*z. Determine x(u(v)).\nAnswer: -30*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 23\/230 - (-1)\/2. Suppose 0*l = l. Let f be l*(-1 - (2 - 2)). Sort -4\/5, v, f in descending order.\nAnswer: v, f, -4\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-nine thirds of a minute?\nAnswer: 1180","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 3, 6, 19, 48, 99, 178, 291?\nAnswer: 444","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = 9*z - 146. Let x(n) = -n + 16. What is 6*k(y) + 57*x(y)?\nAnswer: -3*y + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -i**4\/4 + 25*i**2\/2 - 625\/4 = 0.\nAnswer: -5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-6*(-2*sqrt(1080) + sqrt(1080)))\/(-3*(2*sqrt(96) - sqrt(96))*6).\nAnswer: -3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 386.2289cm in meters?\nAnswer: 3.862289","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let 35*u**3 + 22459945*u**2 + 38502640*u - 12834220 = 0. What is u?\nAnswer: -641711, -2, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10010010 + -1000?\nAnswer: 10001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -194*b**2*w**4 - 2*b**2 - 125*b*w + 16*w**4 wrt w.\nAnswer: -2328*b**2*w**2 + 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.8 + -0.0185692277291.\nAnswer: -2.8185692277291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23568*a = 23565*a + 24*d - 21, -2*d = -5*a - 35 for a.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -64\/3, 2, -37?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 1710.0897 + -1710. What is j rounded to two dps?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 805 and 385.\nAnswer: 8855","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - (-1 - (-1)\/(-3)). Let q = -20 - -22. Which is greater: a or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 208641336?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2560005 + -7?\nAnswer: -2560014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 251 minutes after 12:10 AM?\nAnswer: 4:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 8554062 and 198?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -17 divided by -5\nAnswer: 17\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 25 - 12. Let p = 136 - 132. Let u = 0 - -1. Put p, i, u in ascending order.\nAnswer: u, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 0*w + 4*a - 2 = 0, 2*a - 4 = 0. Suppose o = w*o - 48. Calculate the highest common factor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 1906\/9*f**2 - 455056\/9*f - 2\/9*f**3 + 453152\/9.\nAnswer: -2*(f - 476)**2*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9*15\/(-2025)*-24.\nAnswer: -8\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u - u + 2*u**3)*(3 - 3 + u) + (4*u**2 - 4*u**2 + u**3 + 3*u)*(9*u + 9 - 9).\nAnswer: 11*u**4 + 27*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3896 - -3887.212. Let t = -8.8 - g. What is t rounded to 3 decimal places?\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(40)*2)\/(sqrt(10)\/sqrt(45) + -1*sqrt(32)).\nAnswer: -72*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 437, -5, -4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1c2406 - 0?\nAnswer: 1c2406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 2357871*t - 7630860.\nAnswer: 2357871","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4475 is divided by 68?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t + 45*t = 500 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c = 14 + 2. Sort 0, 2, c in decreasing order.\nAnswer: c, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2915 is divided by 960.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 111\/37*4\/18 + 176\/96.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be ((-1460)\/(-42) - 8\/(-14))\/(84\/2394). What is the highest common divisor of 38 and v?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 129088727 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((y**(7\/2)*y*y*y\/((y\/(y\/(y**(-3\/7)\/y*y*y)))\/y))\/(y\/(((y\/((y*y*y**(-1))\/y))\/y)\/y))**8)**(-17\/4))**(-2\/41) assuming y is positive.\nAnswer: y**(-2159\/1148)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 203*y + 6678 = 945*y for y.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 67789?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 673.6378ml in litres?\nAnswer: 0.6736378","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 2176 and 17.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 0, -5, 13 in ascending order.\nAnswer: -5, 0, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z - 696 = 3084. What is the units digit of z?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*h - 6, -76*h = -5*g - 79*h + 31. Solve -g*y + 17*y = 12 for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45.8 - 46. Let f = p + 0.13. Let v = f - 3.93. Sort -3, 5\/4, v.\nAnswer: v, -3, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.2 in 2\/663, -4, 3\/8?\nAnswer: 2\/663","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, 1\/9, 0.2, -18, 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13058601083\/287060424 + -87\/520037. Let p = t - 5\/552. Let b = -5219\/12 - -1799\/4. What is the common denominator of b and p?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -10969, -44101, -99351, -176725, -276229?\nAnswer: -397869","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1133003756739*a + 15*a**2 - 5*a**2 - 1133003756739*a + 4*a**2.\nAnswer: 14*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -530*d. Let k(l) be the first derivative of l**2\/2 + 964. Give u(k(q)).\nAnswer: -530*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let -12*k**5 - 38*k**4 + 318*k**3 + 1674*k**2 + 2214*k + 324 = 0. Calculate k.\nAnswer: -3, -1\/6, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 12*t + 1. Let r be p(1). Suppose 0 = -0*l + l + 3*b + r, 3*b - 47 = 5*l. Let z be ((-3)\/2)\/(5\/l). Is 3 at least as big as z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 2*r - 2*r)*(-5*r**3 + r**3 + r**3) + (3 - 3 - r**2)*(-5*r**2 + 2*r**2 + r**2).\nAnswer: -r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 (base 10) in base 14?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from njjyjseenj. What is prob of picking 1 y, 1 n, and 2 j?\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = i**2 + 44*i + 371. Let p = -42 + 65. What is the remainder when d(-35) is divided by p?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -15\/22 - -89\/66. Which is the closest to g? (a) 1 (b) 0.1 (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = 47674*g**2 - 2 - g + 56027*g**2 - 28701*g**2. Suppose -2*d - 14 = 3*c - 8*c, -16 = 3*d - 5*c. Let b be q(d). Round b to the nearest one million.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(-2\/17)\/d**(-1)*((((d**4*d)\/d)\/d)\/d*d)\/d*d**(2\/11)\/d)\/(d**0*d**0)**33 assuming d is positive.\nAnswer: d**(386\/187)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -21*u**3 + 14*u**2 + 14*u. Let v(c) = -7*c**3 + 5*c**2 + 5*c. Give -5*a(t) + 14*v(t).\nAnswer: 7*t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 12*u + 1. Let t(h) = -12*h - 59. Let v be t(-5). Determine q(v).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 + -24 + 11 + 0 + 4?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = -a**3 + a**2 + 4*a - 3. Let m be l(2). Let b = -28 + 93. Let p = b + -67. Sort m, p, 2\/11.\nAnswer: p, 2\/11, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -i + 19. Calculate y(13).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from owvuooovjuowoovuojo.\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1026\/108*1330\/(-3610)?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 668 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from gtgclgglllujgggg. What is prob of sequence jc?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4677*d = -4609*d - 68 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -210020 - -10?\nAnswer: -210010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q*q**(-1))**(-5\/4)*((q*q**(-17)*q)\/q)\/q*q**(2\/7)*q assuming q is positive.\nAnswer: q**(-110\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 8.7 + -645.7. Let t = 642 + z. What is the third biggest value in -14\/3, t, 4?\nAnswer: -14\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.2 to one decimal place.\nAnswer: -4.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 b and 1 a when four letters picked without replacement from {a: 15, b: 5}?\nAnswer: 10\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g and 1 q when two letters picked without replacement from gqxglxgqqxqgxxgg.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -162828*g - 162828*g - 162824*g - 1 + 651306*g + 1 - 162823*g.\nAnswer: 3*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -31 - -a?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = 6*y - 3. Suppose -u - 2 = -y, 5*n + 4*u = 56. What is the remainder when 46 is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of q**2 - 3*q - 2. Let k be h(3). Suppose 7*w - 28 = k*w. What are the prime factors of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x - 1145 = -0*x. Let w = -70 + x. Suppose 7*c + w + 121 = 0. What is c rounded to the nearest 10?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -29 - -34. Let p = 0 + -1. Let r = p - -3. Put c, r, -0.5 in descending order.\nAnswer: c, r, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 68297337 and 15552?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -5 + 7. What are the prime factors of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 162\/51516*28\/(-7)?\nAnswer: -2\/159","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3 - (-2 + 3 + -1 + 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tpqp when four letters picked without replacement from {h: 2, q: 1, t: 1, s: 3, p: 3}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 + 958074*u = 0. Calculate u.\nAnswer: -319358, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -3 - 3396a5?\nAnswer: -3396a8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 292?\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 93360067249 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 561177140 to the power of 1\/2, to the nearest integer?\nAnswer: 23689","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/9 in -0.26, -0.018, 2\/5, -1?\nAnswer: -0.018","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = -w**3 - 3*w**2 + 3*w + 7. Determine m(-4).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -51*s**2*v + s**2 - 283805*s*v + 74363113 wrt v.\nAnswer: -51*s**2 - 283805*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s + 3*s - 2*s)*(-17*s + 0*s + 23*s + 4).\nAnswer: -6*s**2 - 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = 16*l**3 - l + 1. Let x be a(1). Suppose 2*h = -h + 4*d - 10, x = 2*h + 3*d. Let u(i) = -2*i**2 + 0*i**2 + i**h. Let c(m) = 4*m**2. Give c(u(p)).\nAnswer: 4*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 256d (base 16) to base 4.\nAnswer: 2111231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pfpdppfddpf. Give prob of picking 1 d and 1 f.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 53 minutes after 1:13 AM?\nAnswer: 2:06 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 934 (b) -1 (c) -3 (d) 3 (e) -1\/3 (f) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*i - 5*p = 175, 9*i + 15*p + 10*p - 31*p = -10*i + 704 for i.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/4, -1\/2, 5\/6, -5, 18705 in descending order.\nAnswer: 18705, 5\/6, -1\/4, -1\/2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 290.9 - 292. What is the second smallest value in 2\/23, -2, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.065 at least as big as 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -15 - 113?\nAnswer: -128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35*c*o**2*t**2 - 26*c*o*t**2 + 5*c*o*t - 77*c*o - 3781576*o**2*t**2 + 25*t**2 - 6*t wrt o.\nAnswer: -70*c*t**2 - 7563152*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 959168544 to the nearest integer?\nAnswer: 176","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -5.87 + -0.13. Which is greater: -2 or s?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4067.47 years to millennia.\nAnswer: 4.06747","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v - 9. Let k be q(-9). Suppose -5*t + 10*t - 120 = k. Suppose -24*r = -27*r + t. What is the units digit of r?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/((8\/(-30))\/(-1*4 - (-2808)\/(-1170)))?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 70163 and 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 363038813?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = z**3 - 24*z**2 - 6*z. Let j(s) = s**3 - s**2 - s. Let r(p) = -6*j(p) + l(p). Find the third derivative of r(a) wrt a.\nAnswer: -30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 39871.51m in kilometers?\nAnswer: 39.87151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 19 + -7. Suppose l = -4*j + 7*j. Let v = 42 - j. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/64 and 37\/820.\nAnswer: 13120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 48075568?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 105 - 99 - -81 - 72.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.6 and -0.214.\nAnswer: -3.814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1567755 divided by 27?\nAnswer: 58065","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7397814.\nAnswer: 2, 3, 463, 2663","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 594 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 836.309953091 - 836.31. Round u to five decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1883, -1881, -1879, -1877, -1875, -1873?\nAnswer: -1871","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (408\/28)\/((-2)\/28). List the prime factors of (-1)\/(-4) + a\/(-16).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 - -1. Solve 5*z - 3*x - r = 0, -4*z + 14 = -7*z - 2*x for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -51520 divided by -4?\nAnswer: 12880","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 2*k + 50 = y, 0 = -3*y - 3*k + 123. Suppose -r - 5 = -2*r. Suppose -r*i + 11 = -y. List the prime factors of i.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3854\/5 + ((-52)\/65 - 0) a multiple of 77?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -201255 - -8250893\/41. Do l and -13 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 167 is divided by (4662\/185)\/(4\/10).\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 9 (b) -0.8 (c) -8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*u + 2*u - 3*u)*(2 - 1 - 3) + (-2 + 3 + 0)*(2*u + u - 2*u) - 4*u + u - u to the form b + y*u and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 387 + -384. Solve 4*u + 3 = c for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*1.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -2793.41 - -2810. Let r = -16.54065 + x. What is r rounded to three decimal places?\nAnswer: 0.049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 607543 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 234814804?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 611091?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 4\/(-2) + (-1 - -5). Let d(t) = 10*t**3 + 5*t - 4. Let z be d(1). What is the second derivative of -6*b**2 + b**m + z*b - 8*b wrt b?\nAnswer: -10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:09 AM and 6:48 PM?\nAnswer: 699","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -9. Let l = 6 + -4. Suppose -4*t + 2*t = -4*o + l, 5*o = -t + 27. Solve r = -f + t - 2 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 5\/(-115)*23\/(-5). Find r, given that 6\/5*r**4 + h*r**5 + 0 - 36\/5*r - 24\/5*r**2 + r**3 = 0.\nAnswer: -3, -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) + 30\/(-4)*55\/(-165). Let t = 1 + 2. Solve t*q = -6, q + 0 = m*v - 2 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 25091280 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(5 + sqrt(13) + (-2 + sqrt(637))**2 + sqrt(13)).\nAnswer: -130*sqrt(13) + 3230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 27.24 in 2, -0.08, 27\/7?\nAnswer: 27\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7963, 8134, 8261, 8350, 8407, 8438?\nAnswer: 8449","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -49\/544 and 47\/191568.\nAnswer: 6513312","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -b**2 - 6*b - 2. Suppose 3*q = h - 2*q + 20, -q = -4*h - 23. Determine x(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 10*b - 9*b. Solve 0 = -3*p + b + 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-656)\/40 + (-2)\/(-5). Let y be (-44)\/u + (-2)\/(-8). What is the second derivative of 4*f**5 + y*f + 6*f - 8*f**5 wrt f?\nAnswer: -80*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 339 - 297.3. What is l rounded to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 6819*r**3 + 1052 + 85 - 69262*r + 340 + 69262*r wrt r?\nAnswer: 20457*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.16 times 523\nAnswer: -83.68","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + -12 + 21 - 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 (base 9) in base 16?\nAnswer: 3e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) = 4*n**2 + 67589. Let s(z) = 2*z. Calculate s(k(j)).\nAnswer: 8*j**2 + 135178","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.0118 or 0.13541?\nAnswer: 0.0118","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence epzh when four letters picked without replacement from xziepeh.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 155135993 to the nearest integer?\nAnswer: 12455","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {p: 6, n: 5, m: 3, b: 1, y: 2}?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 64 divide 90220845?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 8940329911 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 a when four letters picked without replacement from {h: 2, a: 4, z: 8}.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 + -55. Let r = i - -51.6. Let u = r - 15. Which is the third smallest value? (a) -1\/2 (b) u (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -622 less than 55.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*z = 16 + 40. Let f be 300\/(-420) - z\/14. Which is the closest to f? (a) 2\/5 (b) 3 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.0570044 + -0.0571. Round w to six decimal places.\nAnswer: -0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -984*y = -993*y - 9, -2*y + 18 = -5*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 725, 1444, 2153, 2852, 3541, 4220, 4889?\nAnswer: 5548","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 390 to the power of 1\/9, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51145, 204781, 460891, 819475?\nAnswer: 1280533","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = 7*f - 20. Let s be c(3). What is the tens digit of ((3 - (0 - -7)) + 464)*s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 69, 201, 419, 723, 1113, 1589, 2151?\nAnswer: 2799","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -700, -1397, -2092, -2785, -3476?\nAnswer: -4165","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) = 8*x + 3. Let l be c(1). Solve 0*o - o = -2*y - l, -4*o + 20 = -2*y for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 381*n**3 - 872859*n**2*s**2 - 8475897*n*s**2 - 8*s**2 wrt n.\nAnswer: 2286*n - 1745718*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 108 - ((27 - -65) + -29).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39 - 37. Let m be (84\/39 - o) + (-100)\/(-26). What is the second derivative of 9*p**4 - 8*p**m + 15*p - p + 18*p**4 wrt p?\nAnswer: 228*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1 + 462a7?\nAnswer: 462a6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**3 + m**2 + m + 4. Suppose -5*i - g - 1 = 0, 4*i = -3*g + 1 - 4. Let j be b(i). Solve -5*w + 4*t - 16 = 0, -4*t + 0*t + 16 = j*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = 1481*w**2 - 16*w + 20. Is 36 a factor of h(4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (487\/974)\/((-38)\/12).\nAnswer: -3\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 160d51c (base 14) in base 8?\nAnswer: 51130306","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3859 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 8 + -6. Suppose 2*i = b*r - 3630, 1807 = -0*r + r + i. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w, given that 17*w**3\/2 - 196177*w**2\/2 + 282972340*w + 49939350 = 0.\nAnswer: -3\/17, 5770","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -27. Let q(l) = -11*l**2 + 1480*l + 676. Let u be q(135). What is the third smallest value in -1, j, u, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*o - 2*o + 3*o + (1 - 1 + o)*(-2 + 4 + 0) + 2 + o - 2 + (-o + 2*o + o)*(-38 + 16 - 18) in the form h + b*o and give b.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1000111 (base 2) to base 16\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(((sqrt(19) - sqrt(228)\/(sqrt(48)\/sqrt(4)))**2 - sqrt(19)*-2*3) + -1 + (sqrt(19) - sqrt(931)) + 4).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 506252229*i**6 + 398773403*i**2.\nAnswer: 60750267480*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -2252\/2739 - -1\/249. Let j be 0\/(-2) - 98\/66. Let w = j - i. What is the closest to w in 0.1, -4, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/511 and 42\/365.\nAnswer: 2555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**3 + j. Let h(k) = -6*k**3 + 2*k + 12. Let l(q) = 4*b(q) - 2*h(q). Find the first derivative of l(i) wrt i.\nAnswer: 48*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9264 by -6.\nAnswer: 1544","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:46 AM and 3:31 AM?\nAnswer: 165","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -21*v - 3028 + 10000. What is the lowest common multiple of 9 and v?\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -21019 and -86?\nAnswer: 1807634","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l - 2. Let q = -51 - -45. Let b be s(q). Suppose j + 0*j - b*w = -5, 2*j = 5*w - 7. Let v(a) = -a + 1. Give v(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -n**2 + 5*n - 5*n + (n - 2*n + 2*n)*(3*n + n - 10*n) + n - 3*n - 2*n**2 + 1 - 3 as o*n**2 + m*n + y and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 308 and 18032.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*k + 2*c, c - 3 - 9 = -4*k. Let p(l) be the first derivative of -1\/2*l**k + l - 2. Differentiate p(u) with respect to u.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus -0.0578836067?\nAnswer: -1.9421163933","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k - 46 = -4*g + 3*k, -3*g + 4*k + 18 = 0. Let m(b) = 147*b - 8 - 88*b - 12 + 1 - 81*b. Let a be m(-1). Put g, a, 1 in increasing order.\nAnswer: 1, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 + 4 + -3 + 2 - 1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1016662.5542 rounded to the nearest 100?\nAnswer: 1016700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*m - 459 = -2139. Is 9 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1198\/5, 0.3, 5.569, 2, -0.5 in descending order.\nAnswer: 1198\/5, 5.569, 2, 0.3, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2762845 is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g - b + 41 = 2*b, 55 = 5*g + 5*b. Solve j - g = -3 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 137 - 2?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1277 is divided by 48?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0005415964 rounded to six dps?\nAnswer: -0.000542","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 399 = 3*d - 5*b, 4*d = 2*b + 389 + 143. Calculate the highest common divisor of d and 217.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a**4\/3 - 5*a**3\/3 + 41*a**2 + 257*a\/3 + 130\/3 = 0. What is a?\nAnswer: -13, -1, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = d**2 - 11*d + 50. Calculate r(9).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2273151 bigger than 2273153?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7177, 7179, 7181, 7183, 7185?\nAnswer: 7187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*j - 7*j - 12 = -4*j - 4*x, 3*x = -5*j - 0 + 31 for j.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20141.\nAnswer: 11, 1831","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -2*r - 4. Let o be w(-3). Let t(h) = -2 + o*h - 5 + 8. What is t(3)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 60\/12 - 8 - 3. Which is bigger: -4 or h?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 293?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) 0.1 (b) -3\/2 (c) 82 (d) -22\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2094*d**3 - 1048*d**3 - 1045*d**3.\nAnswer: d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1.1, -15, -1\/2?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + n - 3*n)*(1 + 13 + 4)*(38 + 60 + 15).\nAnswer: 2034*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3 + 2*sqrt(13))*6)**2 + -4*sqrt(52)\/(sqrt(4)*3).\nAnswer: 1292*sqrt(13)\/3 + 2196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qfqg when four letters picked without replacement from gxflffqqqqlq.\nAnswer: 1\/198","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-10)\/6)\/((-5)\/30). Let g be ((-4)\/(-20))\/((-24)\/k). What is the second smallest value in -0.2, g, -0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5598 divided by 6\nAnswer: 933","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 45679920 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 35 - 21 - 15 - 2*b. Let h be r(-10). What is the greatest common divisor of 209 and h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -1014*n. Let t = -2311 + 2314. Let d(k) = -29*k. Give t*r(z) - 104*d(z).\nAnswer: -26*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 2 = -3*i, i + 5*q = 424 - 436 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -68*p - 8 = -70*p. Let z be p\/1*119\/34. Calculate the highest common divisor of z and 182.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 531823?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 6559 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 628108172 to the nearest 100000.\nAnswer: 628100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2121 and 3507.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2098862*t**5 - 63*t**2 - 7917.\nAnswer: -125931720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -22 + 85. What is the smallest common multiple of d\/(-14)*(-8)\/6 - -4 and 88?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -3358.457 + 3093.4749. Let w = i - -265. What is w rounded to 3 dps?\nAnswer: 0.018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 - 1 = -2*f. Let c(h) = -6 + h - 2 + 9. Let q(t) = -19*t**2 - 11*t + 3. Let u(o) = f*c(o) + q(o). Find the second derivative of u(g) wrt g.\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1689*b**3 - 2661*b**3 + 782*b**3)*(-2 - 1 + 1 + (-4 + 3 + 6)*(-4 + 1 + 4)) as n*b + q + p*b**3 + l*b**2 and give p.\nAnswer: -10704","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 6 + (-5 - -7) + -3. Suppose 0 = 2*u - q*k - 131, -k + 3*k + 254 = 4*u. What is the tens digit of u?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 15706776 and 752371.\nAnswer: 16459147","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (1*-2)\/(-193 + 196). What is the closest to 0.1 in 2, 1, q, -2\/87?\nAnswer: -2\/87","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*(-2*sqrt(91))\/sqrt(7)*-4.\nAnswer: 288*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(2\/11)\/i)**(-47)*(((i\/i**(2\/53))\/i)\/i*i*i)\/(i*i*i*i**10*i) assuming i is positive.\nAnswer: i**(14818\/583)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(931) - (sqrt(931) + -2)*-6) + -2)**2.\nAnswer: -1372*sqrt(19) + 45815","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*(sqrt(32) + sqrt(2)) - sqrt(2) - -3*sqrt(2)*2 - (sqrt(200)\/sqrt(4) + 3 + -1))**2.\nAnswer: 40*sqrt(2) + 204","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -5099*v - 112222. Give b(-22).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -3251037 + -3?\nAnswer: -3251042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 - -1. Suppose 2*i + 8 + 8 = -c, -c + 20 = -k*i. What is the smallest value in i, 0.1, 0?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -41\/60 - -1\/12. Let d(c) = 302*c. Let l be d(0). Put 1, l, -4, w in increasing order.\nAnswer: -4, w, l, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 4*a - 5. What is the second biggest value in 2\/11, a, 3, -0.07?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wpjnjnvt. What is prob of sequence jn?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 37 + -22. Suppose -3*c = -0 - k. Sort c, -1\/9, 4 in descending order.\nAnswer: c, 4, -1\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 279 < 157?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -983 - -1033. Suppose -5*c + g = 35. Find a, given that 1\/4*a**c + 0 - 1\/4*a + 0*a**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g + n, 4*g - 16 = n + 3*n. Let h = 13 + -8. Differentiate m + h*m - 3*m - 1 - g*m with respect to m.\nAnswer: 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -33178 or -33359?\nAnswer: -33359","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:23 PM and 12:05 AM?\nAnswer: 702","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 41184924451 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 36 and 332.\nAnswer: 2988","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-6)\/42 + 2\/7. Let f = 1 + -4. Which is the closest to -2\/3? (a) v (b) 5 (c) f\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 78\/41663 smaller than 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 400 minutes after 11:46 PM?\nAnswer: 6:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 850, 1820, 2790, 3760, 4730, 5700?\nAnswer: 6670","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, -116731 in ascending order.\nAnswer: -116731, -2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -331985, 0 in descending order.\nAnswer: 1, 0, -331985","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -4893, -1 in increasing order.\nAnswer: -4893, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*z + 18*z + 3*z)*(z**3 + 0*z**3 + 0*z**3) + 0*z**3 + 2*z**4 + 0*z**3 + (-3*z + 3*z + z**2)*(2*z**2 + 2*z**2 - 8*z**2).\nAnswer: 38*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2278*c**2 - 26 - 416*c**3 - 4561*c**2 + 2272*c**2 - c + 28 to the form u*c + a*c**3 + z + x*c**2 and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31742 - 5568 = -3731*o for o.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z - 66 + 56 = 0. Let f(b) be the third derivative of -5\/6*b**3 + 0*b + 5\/24*b**4 + 1\/60*b**5 + 0 - b**2. Give f(z).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (4 - -5) + -14 + -2\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 24 and 264?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1004070 is divided by 83672.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 107.321 * 13\nAnswer: 1395.173","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10 = 2*m, -31*k + 28*k - 20 = -m for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 756\/(-1176)*28\/(-72)\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -o**3 + 54*o**2 + o - 70. Let a be y(54). Let s be (-6)\/9*(2 + 37). Let u = a - s. Solve r = h + 2, 5*r - 3*h = -4 + u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 27*f - 12*f - 6 - 10*f + (3 + 0 - 2)*(-2*f + 5*f - f) - 2 + 2 + f + 4*f + 2*f - 3*f.\nAnswer: 11*f - 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -5*9\/(-15) - 58. List the prime factors of (2816\/i)\/(6\/(-45)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = -b**2 - 24*b - 18. What is k(-23)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -264 - 46 = -2*w. Let z = -115 + w. Calculate the least common multiple of z and 44.\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 2, x: 3, a: 1, v: 2, r: 2, l: 2}. Give prob of picking 1 c and 1 a.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -71516?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 302\/89 (b) -3\/7 (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 5 - 4. Let g be 1 + 63\/(-81) + 33\/(-27). Put 13, 0, g, r in descending order.\nAnswer: 13, r, 0, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5024 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: List the prime factors of 450.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -725581244*n**3 + n**2 - 2*n + 19365092 wrt n.\nAnswer: -4353487464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 0*m = 0. Put m, 3, -2 in ascending order.\nAnswer: -2, m, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*y - 43 + 1. Let l(j) = -j**2 + 13*j - 8. Let d be l(12). Let c be (d\/5)\/((-2)\/(-5)). Solve -5*m + 5 = t, -3*t - y = 2*t + c*m for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 258 divided by 1.\nAnswer: 258","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dujdgpjjjj. What is prob of picking 1 j and 1 p?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/(-19)*(-4 + -1) + 8.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -218701 - -218651.9869. Let l = x + 49. Round l to two decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -v**2 + 6*v + 3. Let d be s(6). Let m(n) = -n**3 + 2*n**2 + 2. Calculate m(d).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = 104*l - 14776. What is h(142)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -49\/3519 and (185\/(-2590))\/((-46)\/172).\nAnswer: 24633","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the second derivative of 4*j**2 + 3*j + 0 - 1\/3*j**3. Let d(v) = v - 7. Calculate -6*d(p) - 5*y(p).\nAnswer: 4*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5805\/387)\/(144\/(-160)*(-20)\/(-156))?\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8 + 8 - 10*n)*(-43 + 167 + 69)*(2 + 2 - 5).\nAnswer: 1930*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*n + 2*l - 86 - 32, 0 = -4*n + 2*l + 176. What is the tens digit of n?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:17 PM and 5:21 PM?\nAnswer: 4","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w = 5*r + 6 + 95, 3*w - 3*r = 75. Let j = w - 5. Let c be j\/7 - 10\/(-35). Solve z = -c*z - 20 for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (180\/(-84) - -3)\/(4\/14). Suppose -2*t + 2*b = 4, 12 = 4*t - 2*b + h*b. Sort 3, -2, 4, t in ascending order.\nAnswer: -2, t, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) be the second derivative of m**4\/2 - 7*m**3\/6 - 4*m. Find the second derivative of k(f) wrt f.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6 (base 16) to base 5.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 310*f*g**2 - 52*f with respect to g.\nAnswer: 620*f*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51096*j + 788392 = -62690*j for j.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 - (-6 + (8 - 3))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -37550.26 rounded to the nearest 10?\nAnswer: -37550","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -1409115 times 40?\nAnswer: -56364600","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:40 PM and 8:21 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p**17*p\/(p**(-19)\/p) assuming p is positive.\nAnswer: p**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122791 is divided by 671?\nAnswer: 669","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3060.91 litres in millilitres?\nAnswer: 3060910","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6*o + 8*o + 76 = -17*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (70\/(-14))\/(56\/(-9520)*50).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 0.268 - 0.168. Which is the fourth biggest value? (a) 5 (b) 0.12 (c) 4 (d) k (e) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/862904 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 158256\/576 - 5\/(-4). Put -3, -10, 1, t in ascending order.\nAnswer: -10, -3, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*t = 4*t - 5200. Let a = -2151\/2 - t. What is the common denominator of 49\/9 and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1905442 and 4543?\nAnswer: 112421078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2771*v**2 + 0 + 5 + 7 - 2753*v**2 - 12.\nAnswer: 18*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Put -0.1006, -1, -0.8, 1\/6, 3\/5, 2 in descending order.\nAnswer: 2, 3\/5, 1\/6, -0.1006, -0.8, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/10)\/((-108)\/(-30))?\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:59 AM and 11:24 AM?\nAnswer: 25","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(168)\/sqrt(72))\/((sqrt(3) + sqrt(12) + sqrt(3))*-3) + -5 + 6*(4 + (sqrt(28)\/sqrt(4))**2).\nAnswer: -sqrt(7)\/36 + 61","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/((-2)\/3*(-1578)\/(-1052))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 71 and -261.07?\nAnswer: -18535.97","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the second derivative of -n + 13\/12*n**4 - 11\/20*n**5 + 0*n**2 + 0*n**3 + 58. Find the third derivative of m(d) wrt d.\nAnswer: -66","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vgxb when four letters picked without replacement from {x: 3, f: 2, v: 2, g: 1, b: 6}.\nAnswer: 3\/2002","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:18 PM and 6:45 PM?\nAnswer: 27","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) 1.7 (c) 1\/2 (d) -1 (e) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 877, 7 in ascending order.\nAnswer: -3, 7, 877","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 100 + -67. Suppose 1 = 2*d - 4*i - t, -2*d = 4*i + 6. What is the smallest common multiple of d and (42\/12)\/(2\/4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 38370831 a multiple of 5214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 703 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (98\/(-12))\/(4718\/(-8088)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 998 is divided by 435.\nAnswer: 128","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**3 + 9*h**2 - 3*h - 6. Let a be l(6). Suppose -3*q = a - 462. What is the highest common divisor of q and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 332, 457, 662, 989, 1480, 2177?\nAnswer: 3122","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2282315248 - 4.\nAnswer: -2282315252","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -a**3\/3 + 7*a\/3 - 2.\nAnswer: -(a - 2)*(a - 1)*(a + 3)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*h = 2*f - 5*f + 8, 2*h = -5*f + 22. Solve 12*b + 16 = f*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 50673 and 1.\nAnswer: 50673","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 2\/(-7) + -2 - -2. Suppose 5*u = 2*u + 6. Suppose 13 + 7 = 4*h. Which is the nearest to q? (a) u (b) -2 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-18)\/(-25))\/(4\/8))\/((107584\/(-2460))\/(-164)).\nAnswer: 27\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -3.3 and 1.3?\nAnswer: -4.29","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express (-325 - 221 - 293)*(-8*v + 0*v - 5*v) as k*v + n and give k.\nAnswer: 10907","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*v + 14*v + 2*v.\nAnswer: 6*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -198349464 - -8.2.\nAnswer: -198349455.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 5539227721 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.345087 and 1.\nAnswer: 0.345087","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -37726, 21 in decreasing order.\nAnswer: 21, -5, -37726","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -3209.56 rounded to the nearest one thousand?\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000495 rounded to six decimal places?\nAnswer: -0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 5. Let k be m(0). Let p = k + -3. Suppose -p*g + 4*g = 68. What is the remainder when g is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*g - g + 3118 + 1207 as v + n*g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22 - 22?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = c**3 + 2*c**2 + 2. Let q be h(-2). Suppose -5*w = -0*p - p + 31, p + q*w = 10. Let n = -367 - -370. Solve -i - p = n*i for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 7701 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -12478.1455 to the nearest ten.\nAnswer: -12480","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (266\/(-35) + 6)\/(8\/(-886780)). What is o rounded to the nearest one thousand?\nAnswer: 177000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -322c (base 14) in base 5?\nAnswer: -234124","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = -m**3 + 2*m**2 + 3*m + 3. Let n be u(3). Suppose 4*s + 2*a - 76 = 5*a, 0 = n*s + 3*a - 78. Calculate the highest common factor of 11 and s.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*k + 4*a + 28 = 0, -9 = 3*k + 8*a + 14. Let z = 9 + -7. Solve k*h - 5 = -z*h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is ((-9)\/(-27)*1*178131)\/((-6)\/(-42)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -5944 + 402*j - 2*j**2 + 2889 - 5*j**2 + 3055. Let w(s) = -2*s. Determine w(p(x)).\nAnswer: 14*x**2 - 804*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) = -6*d - 2*d - 2*d + d**3 + d + 8*d - 6. What is g(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 148 in 804, 1\/2, 5, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -649 - -653. Let j(z) = z**3 - 4*z**2 - z + 6. Let u be j(4). Solve u + 6 = d*i for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -5280 to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 120857668*m**2 + 1825822110157440*m + 3651643736884224.\nAnswer: 2*(m + 2)*(m + 30214416)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 108126 is divided by 35521.\nAnswer: 1563","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0010628867 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 2140590769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) be the second derivative of 0 + 4*k + 7\/6*k**3 - 1\/2*k**2. Determine y(2).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(-1 + 1*sqrt(12) - ((sqrt(108) + sqrt(108)*2)\/sqrt(9))**2) - ((-2 + (sqrt(588)*2 - sqrt(588)))**2 + -3).\nAnswer: -1134 + 66*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -193\/690 and -43\/4.\nAnswer: 1380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2431 divided by -13781.\nAnswer: -2431\/13781","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 - (2 + -1))\/(4 + -6). Suppose z = 5*y - 25. Let c = 0.1 - 0.04. What is the biggest value in 0.5, y, c?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 52 = 5*f - 4*d, 2*f - 15 = 3*d. What is the greatest common factor of f and 686?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) be the second derivative of -d**4\/12 - d**3 + 3*d**2 - 5*d. Let h(r) = -r + 1. Let t(l) = -6*h(l) + k(l). Let p(n) = -3*n. Calculate t(p(q)).\nAnswer: -9*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.06 and 1324.\nAnswer: -79.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 28022637?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 898951 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 462919, 925853, 1388787, 1851721, 2314655?\n\"Answer: 462934*c - 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -j**2 - 2*j + 21. Calculate a(-7).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of (7696\/(-32) - -17)\/((-1)\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -3*f**2 - 9 - 3*f + 1 + 2*f**2 + 7. Let o be 1*-2*(-6)\/(-4). Calculate y(o).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 723 (b) -2\/7 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 4161 and 6935.\nAnswer: 20805","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3\/190902626 + -23901581482385\/44098506606. Let d = h + 542. Is -1 bigger than d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**3 - 8*o**2 + 16*o - 10. Let l be j(5). Which is bigger: -91\/19 or l?\nAnswer: -91\/19","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 256514794?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1444409 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 17285*v - 17341*v + 1120 for v.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:47 AM and 4:28 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 462859 = 71*k - 492446. What is the greatest common factor of k and 130?\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*n - 14*n - 264 = 15*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.09 - -0.05. Let n be (497\/(-142))\/((-14)\/16). Which is the second biggest value? (a) 1 (b) y (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2604010657.\nAnswer: 593, 4391249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14\/3 + 31\/6. Let l = -0.8 - -0.3. Which is the third smallest value? (a) l (b) z (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -102 in -4, -2\/3, 24, 5, 25\/6?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) be the first derivative of -v**6\/2 + 38*v**5\/5 - 93*v**4\/2 + 144*v**3 - 459*v**2\/2 + 162*v + 22. Let f(a) = 0. Calculate a.\nAnswer: 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the second derivative of -y**7\/42 + y**3\/3 + 11*y. Find the second derivative of a(w) wrt w.\nAnswer: -20*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 4 - 1)*(3 - 3 + 2*k)*(8 - k**2 - 8).\nAnswer: 6*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*c + 201 = -m, -m + 4*m - c + 587 = 0. Let i = 220 + m. Let d = 8 + 0. Calculate the least common multiple of i and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ggg when three letters picked without replacement from {g: 5, f: 8}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express -14*z - 1828*z**2 + 1838*z**2 - 20*z as v + q*z + p*z**2 and give q.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-31)\/((-2)\/2) - 3. Suppose 420 = -0*b + 15*b. Calculate the highest common divisor of c and b.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(33) - 1*sqrt(33))\/sqrt(11)*-6)**2*-4 + 4)*6.\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -13051 + 13053. Which is the second biggest value? (a) 6 (b) j (c) 16\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2210 + -1817. What are the prime factors of k?\nAnswer: 3, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2099, -4191, -6283, -8375, -10467, -12559?\n\"Answer: -2092*o - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 358*h**5 + 195332*h**2 + 4180283*h.\nAnswer: 7160*h**3 + 390664","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 248\/5 - 50. Let g = -4\/15 + j. Suppose 1 = o + 3. Is g < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10 + -1 + -12 + (-18 - -7)\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o**2 - 5*o. Determine c(2).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 69856.04mg in tonnes?\nAnswer: 0.00006985604","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*p**2 - 3*p**2 + p**2)*(3 - p**2 - 3) - 48*p**4 - 37*p**4 - 5*p**4 + (-3*p + 2*p**2 + 3*p)*(3*p**2 - 7*p**2 + 2*p**2).\nAnswer: -95*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/15 + (-4268)\/60. Let f = 71 + m. Solve -x + 4*x = f for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1266 (base 8) in base 9?\nAnswer: -851","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 30*w = 20*w + 50 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-38*s**3 + 79*s**3 + 10 - 43*s**3)*(-s - 1 + 1).\nAnswer: 2*s**4 - 10*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 10371379 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 86779116 a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (407*a + 614*a - 5342*a - 3533*a)*(-2 + 4 + 2*a - 4*a)*(-2*a + 3*a - 2*a).\nAnswer: -15708*a**3 + 15708*a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(w) = 79702*w - 956340. What is n(12)?\nAnswer: 84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -47 + 50 + 1*183\/(-63)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -8052177082 and -13.18?\nAnswer: 8052177068.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -7, 5, 2, 22, 1\/27, -2\/3, 2\/5?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 49*m**3 + 11*m**3 + 10202861 - 10202858.\nAnswer: 60*m**3 + 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is f in 7*f**4\/4 + 31*f**3 + 167*f**2\/4 - 197*f\/2 + 24 = 0?\nAnswer: -16, -3, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is -309283048 <= -309283049?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 24, 72, 190, 414, 780, 1324?\n\"Answer: 6*u**3 - u**2 + 9*u + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 12 + x - x**2 + 3 + 4. Let n be l(0). Suppose 0 = -4*k + n + 41. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-57*l - 34*l - 34*l)*(-1 - 2*l + 1).\nAnswer: 250*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*u - 4*n - 1 = 0, -317*u + 14 = -312*u - 3*n for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*q - 52 = 25*p - 93*p + 63*p, p = q - 4 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -2516, -9227, -20238, -35549, -55160, -79071, -107282?\n\"Answer: -2150*s**2 - 261*s - 105","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -184 + 467. Suppose 0 = -2*g + 3*b + v, 3*b - 417 = -4*g + g. Does 17 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23130223 (base 4) to base 2\nAnswer: 1011011100101011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -h + 1. Let w be r(4). Let x(u) = -u**2 - 6*u - 1. Let a be x(-6). What is the common denominator of ((-89)\/a)\/((-24)\/w) and 145\/12?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -v**2 - 4*v - 14. Determine c(0).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh biggest value in 0.41, 5\/4, -1, 0.4, -6, 7, 0.426?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1 - -3. Let o = 0 + z. Let g = -2 + o. Solve 0 = -g*b + 2*b + 4*u, 0 = -5*b - 5*u - 10 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 705 minutes before 7:30 AM?\nAnswer: 7:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*b = -q - 74, 2*q = -2*b - 0*q - 36. Let v = b - -34. Suppose -v = -8*a + 4. Solve -7*g = -a*g - 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 44 and -38.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6432199 or -6432128?\nAnswer: -6432199","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*l + l - 9 = 0 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 1891*h**2. Let t(q) = 27*q**2. What is -4*g(k) + 279*t(k)?\nAnswer: -31*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/7416 and -51\/101096.\nAnswer: 93715992","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) be the first derivative of -z**3\/3 - 4*z**2 - 2*z - 2. List the prime factors of b(-7).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 18, 37, 68, 111?\nAnswer: 166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (7 - 243\/36)*12. Solve -4*f + 5*i + 6 = 3*i, -h*f - 5*i = -11 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(40\/(-20)*1\/10)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*s - 4. Let b(f) = 2*f**3 + f**2. Let q be b(s). Solve -q*m = 2*m + 4*p + 1, -5*m + 2*p = 7 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 (base 14) to base 10\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.276652 to one decimal place.\nAnswer: 2.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*v + 4*v. Suppose -4*w + 2*b = -64, w + 3*b - 7*b - 2 = v. What is the highest common divisor of w and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 21599 is divided by 152.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iie when three letters picked without replacement from esiieieieeiseeii.\nAnswer: 7\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -3*1\/((-27)\/2). Let u = 239.3 + -239. Which is the smallest value? (a) -4\/7 (b) p (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (1*-3)\/(-1*(-9)\/3). Let b(k) = k**2 - k. Let m(a) = 62*a**2 - 5*a. Let s(j) = -4*b(j) + m(j). What is the remainder when s(w) is divided by 16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -9299 or -1387\/3?\nAnswer: -9299","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (4*m**4 - 2 - 20*m**2 + 20*m**2)*(-2 + 6 - 3) to the form w + f*m**2 + q*m + d*m**3 + c*m**4 and give c.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the first derivative of d**6\/2 + 2*d**3\/3 + 4. What is the third derivative of l(b) wrt b?\nAnswer: 180*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 27 - 21. Suppose -a*i + 48 = -4*i. List the prime factors of i.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = d**3 - 19*d**2 - 7*d + 133. Let u be l(19). Let y(o) = -6*o**2 - 3*o + 174. Is 29 a factor of y(u)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 37\/2128189 and -83\/28.\nAnswer: 8512756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 4*b + 3. Let g(p) = 0 + 0 - 3*p - 3 + 0. Determine -4*d(o) - 5*g(o).\nAnswer: -o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -2*z + 4. Let w(t) = t**2 + 3*t + 6. Let o be w(-5). Suppose l - 5*m = 15, -2*m = l + 3*l - o. Determine d(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -l + 4*i - 9, 69 = 80*l - 85*l - 4*i for l.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 7751996, 15504003, 23256010, 31008017, 38760024?\nAnswer: 46512031","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is eleven quarters of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(1377) + -1)*2*3)**2 + (((sqrt(1377) + 0 - sqrt(1377)) + 5)**2 - sqrt(1377)) + (1*-1*sqrt(1377))**2)*3.\nAnswer: -1971*sqrt(17) + 153030","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -42795234 divided by -43?\nAnswer: 995238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 4 + 3)*(804*x**5 - 3*x**4 + 972*x**5 + 626*x**5).\nAnswer: -2402*x**5 + 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.5 (b) 113 (c) -18 (d) -2\/23 (e) 0.01\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -1057.4230546 to one decimal place.\nAnswer: -1057.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than or equal to 4\/461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -x - q - 2, -13*q + 6 = 5*x - 16*q for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*y - 198 = 1101*g - 1104*g, -2*g + 4*y + 16 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4299548 - -9237248. Let a = y + -3437700. Round a to the nearest one hundred thousand.\nAnswer: 1500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b\/b**(-1\/23)*b**(11\/6)*(b**(-2\/5))**(-34) assuming b is positive.\nAnswer: b**(11369\/690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -966*l**3 - 11398*l**2 + 4*l + 591249336 wrt l.\nAnswer: -2898*l**2 - 22796*l + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = -2*x - 1. Let z(o) = 17*o + 7. Let c(g) = -7*m(g) - z(g). Let v(t) = -5*t + 2. Give v(c(r)).\nAnswer: 15*r + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(50)*-6 - sqrt(2))**2 + 5*sqrt(10)\/sqrt(5).\nAnswer: 5*sqrt(2) + 1922","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 995, 8475, 22449, 42917, 69879, 103335?\n\"Answer: 3247*g**2 - 2261*g + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 241 + 858. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 (base 10) to base 15\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 187702001 to the power of 1\/6, to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q(o) = -931*o - 2790. Calculate the least common multiple of 1692 and q(-3).\nAnswer: 1692","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 42 and 673232?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1017971678?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -541 + 539.548. Let k = -0.548 + s. Which is smaller: k or 8\/7?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z - 4*z = 228. Let n = z - -83. Suppose 546 = 4*k + n. Round k to the nearest one hundred.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 13005 (base 8) to base 10.\nAnswer: 5637","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a centimeter in millimeters?\nAnswer: 66","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f + 7*x - 11*x = 5521, 4*x = -f + 5529. What is the units digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be ((1\/3*1)\/((-132)\/(-99)))\/(-1). What is the closest to j in 2931, -4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -2817667?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -764\/35 - -112\/5. Factor -6\/7*t**2 + 0 + z*t**3 - 4\/7*t.\nAnswer: 2*t*(t - 2)*(2*t + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -135*a + 137*a = 1050. What are the prime factors of a?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -9 - -11. Let r(k) = 2759*k - 2 + 2*k**2 - 2759*k + 4*k**3. Suppose -11*y + 1 = -54. Let a(o) = -9*o**3 - 5*o**2 - o + 4. Calculate j*a(t) + y*r(t).\nAnswer: 2*t**3 - 2*t - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2495 - 1009. Is -22 + 24 - b\/2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 + (0 - (-2 + 13)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 2*m**3 - 24. Give i(4).\nAnswer: 104","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) = -4*a**2 - 4*a - 7. Let q(l) = l**2 + 1. Let g(o) = -c(o) - 5*q(o). Calculate g(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is q in 3*q**4\/2 + 60021*q**3\/2 + 689412*q**2 - 719424*q = 0?\nAnswer: -19984, -24, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 - (58 - 49 - -22)\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 71 divide (-50330)\/(-525) + (-2)\/(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -3123?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + ((sqrt(19) - sqrt(57)\/sqrt(3))**2 + 3 - (sqrt(19) + (sqrt(133) - (sqrt(133) - -2*sqrt(133)))\/sqrt(7))) + 0 - -6*((1 + sqrt(2736) + -2)**2 + -1).\nAnswer: -143*sqrt(19) + 16422","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -19.046352 rounded to one decimal place?\nAnswer: -19","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 65 and 221.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.42 - -0.46. Let d = -0.96000177 - c. What is d rounded to 7 decimal places?\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 0*i**2 + 5*i**2 - 4*i**2. Let k(f) = 95870825*f - 30*f**2 - 95870825*f. Determine k(c(s)).\nAnswer: -30*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + 5 = -t + 3*r, -25 = -5*r. Calculate the remainder when 5 is divided by t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 30 + (12 - 0) + -10 + (5 - (0 + -5))\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 53 - 128. Let n be (-56)\/(-10)*v\/(-30). Let u be (n\/(-140))\/(3\/(-5)). What is the nearest to -0.1 in u, -2\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify x**(3\/4)*x**(1\/11)\/x*((x\/x**1)\/x)**(-46\/3) assuming x is positive.\nAnswer: x**(2003\/132)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1*4\/4 - 70) + -3. Let j = v - -76. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -15 divided by 29889?\nAnswer: -5\/9963","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -563 or -562?\nAnswer: -562","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 9) to base 12\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 313 - 312.99999736. Round x to seven dps.\nAnswer: 0.0000026","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the second derivative of n**8\/560 + 3*n**7\/280 + n**6\/40 + n**5\/40 + n**3 - 3*n. Let p(v) be the second derivative of t(v). Factor p(m).\nAnswer: 3*m*(m + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*i + i**2 - 3*i**2 + 2*i)*(2*i**2 - 2 + 2).\nAnswer: -4*i**4 - 2*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((0 + 1)*1)\/1. Suppose -g = 2*g + 21. Let i = -5 - g. Solve -i*v + y = -3 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117708 + 198668. What is the tens digit of j?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289127 to the power of 1\/6, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*t + 2*m + 57 = 0, -t + 3*m - 1667 + 1694 = 2*m for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 36080 is divided by 35.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = 3*x**2 + 27*x - 61. Calculate h(7).\nAnswer: 275","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*g**3 - 790*g**2 - 56000*g - 838880.\nAnswer: 5*(g - 214)*(g + 28)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((sqrt(45) - sqrt(405))\/sqrt(9))**2 + 3 + (sqrt(100)\/(2*sqrt(4)))\/((sqrt(120)\/sqrt(3))\/sqrt(8)).\nAnswer: sqrt(5)\/2 + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**2 + 2*x - 2. Let p(w) = 190*w**2 + 995*w - 12. Let m(r) = p(r) - 6*s(r). What is the second derivative of m(d) wrt d?\nAnswer: 368","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.21, 309170, -3 in descending order.\nAnswer: 309170, -0.21, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (5 - -2) + (9 - 0) + -8 + 16 + -10\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:02 AM and 9:26 AM?\nAnswer: 204","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-4 + 9 + 3)*(-m**2 - 7*m**2 + 2*m**2)*(-2*m + 0*m + 0*m) + 5*m**3 + 0*m**3 - m**3 to n*m**2 + r + u*m**3 + h*m and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -7, -55, -133, -253, -427, -667?\n\"Answer: -2*u**3 - 3*u**2 - 25*u + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-36)*h*h**4)\/(h**(1\/23))**(-25) assuming h is positive.\nAnswer: h**(-688\/23)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1 - 6 + 8*q**2 - 3 wrt q.\nAnswer: 16*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -84 - -193. Suppose 0 = -4*d + 5*t + 104, -5*d - 2*t + c = -3*t. What is the greatest common factor of d and 231?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 36*v - 34*v = 9 + 27 for v.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/12*7\/28*12?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3 + 4)*2 + 3. Suppose 0 = -3*u - 3, c*h + 5*u - 21 = u. Solve -i + 3*l = 9, h*l - 3 = -3*i + 26 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -h**4 - 124*h**3 + 17*h - 4 + 122*h**3 - 2 - 14*h - 2*h**2 to the form d*h**4 + l*h**2 + z + k*h + w*h**3 and give l.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3 + 0. Suppose 0 = 4*n - 8. Suppose 0 = i*w - 5*s - 14, n*w = 4*s + 1 + 5. What is the remainder when w is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from kakkakkjaak. Give prob of picking 1 a and 1 j.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:44 PM and 11:34 PM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 6109145*g**2 + 1771*g - 1771. Let q(r) = -6903*r**2 - 2*r + 2. Give -2*k(n) - 1771*q(n).\nAnswer: 6923*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -32*f*h**2*m + f*h**2 + 2*f*h*m - 5*f*m - f - h**2*m + 3315*h**2 + 711*h*m - 3*h + 4*m wrt h.\nAnswer: -64*f*m + 2*f - 2*m + 6630","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 8837753133 + 0.016\nAnswer: 8837753133.016","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Determine g, given that -2*g**4\/9 - 7792*g**3\/9 + 117476*g**2\/9 + 571120*g\/9 + 148618\/3 = 0.\nAnswer: -3911, -3, -1, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = i**2 + 12*i + 13. Let s be c(-30). Let z = 555 - s. Solve -4 - z = 3*t for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 49198578.\nAnswer: 2, 3, 11, 13, 17, 3373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 3828, 3856, 3884?\n\"Answer: 28*x + 3800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -27981.75 to the nearest one hundred.\nAnswer: -28000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 32 + 34 + 4715*y - 4699*y to the form j + o*y and give o.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 5*d**3 + d**2 + 3*d - 6. Suppose -20*o - 10 = -25*o. What is the smallest common multiple of r(o) and 16?\nAnswer: 176","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24\/(-5))\/6*(300\/18)\/10?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1461, -1457, -1451, -1443, -1433, -1421, -1407?\nAnswer: -1391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 1.07+447\nAnswer: 448.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of w**4\/4 - w. Let t(v) be the second derivative of -22 + 0*v**2 - 1\/2*v**3 + 2*v. Calculate t(s(p)).\nAnswer: -9*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = -124*i + 9. Is n(-2) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(-6)\/(a\/a**2))\/(a**(-1))**(2\/29))\/(a\/(a*a**(-2\/17))*a*a**0*((a**(-2\/3)\/a)\/a)\/(a*a**(-8))) assuming a is positive.\nAnswer: a**(-15355\/1479)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -2.7 + 0.7. Let j = 81 - 402\/5. Put j, -5, p in decreasing order.\nAnswer: j, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 46 and 391.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 c, 1 f, and 2 i when four letters picked without replacement from {c: 1, i: 5, f: 5, v: 4}.\nAnswer: 10\/273","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -212553422450 - -3?\nAnswer: -212553422443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (-1 + 0 + 2)*(2 + 2 - 6)*(-4*l**2 - 127*l**2 - 24*l**2) in the form d + r*l**2 + v*l and give r.\nAnswer: 310","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.3 + 0.5. Let b = -1 + 0.8. What is the biggest value in -0.3, a, b?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 10*s + 3. Let r(i) = 31*i + 8. Let p(v) = 11*q(v) - 4*r(v). Let x be p(-2). Let m = x - -1. Calculate the greatest common factor of 15 and m.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = d**3 + 9*d**2 + 5*d - 8. Let o be k(-6). Suppose 0*l = -5*l + o. Let s = 37 - 32. Solve s*c = 5*v - 15, v - 3*c = -3*v + l for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1893713565 to the nearest integer?\nAnswer: 1237","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort -22\/3, 55\/3, -3\/8.\nAnswer: -22\/3, -3\/8, 55\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1102757 + 17897243 = -4*t. What is t rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 161\/160 + -1607\/1120. Let m be 2\/(-1 + (-7)\/(-2)). What is the closest to 1 in m, f, 17?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 167\/446700 and 89\/11480190.\nAnswer: 114801900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + 192?\nAnswer: 191","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = 989*q - 3278. Let l be g(4). Solve 12*k - 666 = -l for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -3*x - 2*x. Calculate the least common multiple of x and 2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -4671*b - 509411. Determine j(-109).\nAnswer: -272","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 99.63904 meters?\nAnswer: 99639.04","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7750595 a multiple of 385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a*a\/((a*a*(a**(-2)\/a)\/a*a)\/a)*a*a*a\/a**(11\/4) assuming a is positive.\nAnswer: a**(17\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1551 - 1025. Suppose -s*c + 522*c + 8 = 0. Let -2 - 4*z - 5\/2*z**c - 1\/2*z**3 = 0. What is z?\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -6*j - 1. What is f(-1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is (-2)\/8 - 13*41\/(-4) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -12. Suppose 4*y = d*z + 43, 4*y - 13 - 26 = -z. What is the highest common factor of y and 130?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 518?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 6, 32, 3, -2, 11 in ascending order.\nAnswer: -4, -2, 3, 6, 11, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -182 - -188. Suppose -9615 = -c*r + 17307. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 15468, 62120, 139890, 248784, 388808, 559968?\n\"Answer: l**3 + 15553*l**2 - 14*l - 72","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c - 995*j + 47 = -997*j, -2*j + 43 = 5*c. What is b in 21\/2*b**2 - c - 57\/2*b = 0?\nAnswer: -2\/7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10782 is divided by 41?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 7858*a + 798*a - 239*a + 7004*a as z + l*a and give l.\nAnswer: 15421","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in 79\/2 of a centimeter?\nAnswer: 395","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 21 = 4*h, y = -0*y - 4*h - 9. Suppose -y*p + 22 = 10. What are the prime factors of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 139910, 279749, 419588?\n\"Answer: 139839*w + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -7*t - 1. Let h(a) = 20*a + 4. Determine -5*h(l) - 14*y(l).\nAnswer: -2*l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 n when two letters picked without replacement from {t: 1, p: 1, k: 1, w: 1, n: 3}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 852500.\nAnswer: 2, 5, 11, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is -1803475 < -1803475?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 123 minutes before 8:02 AM?\nAnswer: 5:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -902*n**2 - 1673*n + 1672. Determine h(1).\nAnswer: -903","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence psc when three letters picked without replacement from {c: 1, p: 2, u: 9, s: 7}?\nAnswer: 7\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1 - bc?\nAnswer: -bd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from pppfzpjjpaaapp. Give prob of picking 1 p, 1 z, and 1 a.\nAnswer: 3\/52","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -137901 divided by -142.\nAnswer: 137901\/142","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -87, -173, -259, -345, -431?\nAnswer: -517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1\/7 (b) -0.3 (c) 3\/5 (d) -4 (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70*d - 52*d + 154*d - 1055 = -7419 for d.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 47.764 - 42.7. Round l to 1 dp.\nAnswer: 5.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 1 - 2. Let n be 0 + (-6 - -3) + 1. Suppose -11*t = -16*t - 8*t + 13. Sort t, 5, n, x in decreasing order.\nAnswer: 5, t, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 702?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 7 + -5 + 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 35*d - 23*d - 3*d**2 + 10 + 4*d**2. Let j = 4713 - 4724. Determine s(j).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 7402228 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express 30*b + 1 - 14*b + 0 + (1 + 3*b - 1)*((5 - 1 - 3)*(-1 + 2 - 2) + (-3 - 2 + 4)*(-4 + 4 + 1) + 1 - 7 + 2) as f*b + y and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Put together -105 and -53818.51.\nAnswer: -53923.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -1148 and -307.\nAnswer: -1455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 0, 4\/5, -2, 4\/7, 3?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that -3*b**5\/7 - 201*b**4\/7 - 1311*b**3\/7 - 3111*b**2\/7 - 3078*b\/7 - 1080\/7 = 0.\nAnswer: -60, -3, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/7 + 4581756*w\/7 - 2624061005442\/7.\nAnswer: -2*(w - 1145439)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 15444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) be the first derivative of 3*f**3 - 13 + 3*f**2 + 6 - 3*f**2. Let n(z) = z**2. What is v(n(b))?\nAnswer: 9*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -521.7 and 580392?\nAnswer: 580913.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = k**2 - k - 13. Is f(-9) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4 + 7)*(-r + 0*r + 4*r)*(-r**2 + r**2 - r**4) + 12*r**5 + 14*r**5 + 4*r**5 + (2*r**4 + r - r)*(r + 1 - 1).\nAnswer: 38*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 367 minutes after 4:39 AM?\nAnswer: 10:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 30195?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -28 (b) 28334 (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(g) = -2*g**2 - 3*g - 2. Let n(f) = -f**2 - 3*f - 2. Let v = -16 - -13. Let i(r) = v*n(r) + 2*s(r). Give i(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 21 (base 10) to base 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -14 + -5 + 15 + (-5 - 1) - -14?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -12622.82776 to the nearest one hundred.\nAnswer: -12600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 168887 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -3*m**3 + 3*m**2 - 3*m + 2. Let z be s(2). Let d = -11 - z. What are the prime factors of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 226*u - 217*u - 3384 = 0. What is the remainder when u is divided by 19?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -210.6 - -191. Let p = h + 21. Are p and 0 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.57924 - 0.68.\nAnswer: 0.89924","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 483 is divided by 126.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2)\/(-4))\/((-1)\/(-42)). Let l = 162 - 163. What is the units digit of (4\/l)\/((-14)\/k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from apzauzz. What is prob of picking 2 z?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -882, -860, -814, -738, -626, -472?\n\"Answer: i**3 + 6*i**2 - 3*i - 886","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (9\/54)\/((6*1\/(-9))\/(-2))*-68\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.7 - 0.4. Let n = 0.2 + -0.1. Let j = 0.6 - 0.2. Which is the nearest to -0.1? (a) n (b) j (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(153) + -2 - ((2*sqrt(153))**2 + -3).\nAnswer: -611 - 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 23*t + 7*t - 11*t + (0*t - 2*t + 4*t)*(0 + 4 - 5) to u*t + p and give u.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 92 - 26. Calculate the remainder when p is divided by 18.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 50259 or 50458?\nAnswer: 50458","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*c**3 + 3309986*c**2 + c - 3987035 wrt c.\nAnswer: 12*c + 6619972","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dtttdtdttdtdtddt. What is prob of picking 2 d?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5338*j = 5264*j + 12358. Calculate the remainder when 227 is divided by j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(q) = 17*q**2. Let w(i) = -39*i + 19*i + i**2 + 20*i. Determine w(l(j)).\nAnswer: 289*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 6\/2 + (10 - 8). Suppose 0*b + 35 = 5*b - 5*l, 0 = a*b - 4*l - 30. Suppose -5*v + 3*n - 1151 = -3330, b*v = 3*n + 868. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.3423, 1\/4, -4, -0.4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vv when two letters picked without replacement from {g: 2, m: 2, t: 8, v: 4, f: 3, a: 1}.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 20, 14 in decreasing order.\nAnswer: 20, 14, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 0.0612 * 0.3\nAnswer: 0.01836","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j*j\/j**1)\/j**(2\/5))**(-13\/7) assuming j is positive.\nAnswer: j**(-39\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 126741066 is divided by 819.\nAnswer: 816","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 17133666102 from 5.\nAnswer: -17133666097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 38171?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -190892 from -0.2.\nAnswer: 190891.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*o - 22*o + v - 1074, 2685 = 5*o + 3*v. What is the highest common divisor of o and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -3*j + 2. Let q be i(-6). Let t be ((-8)\/q)\/(2\/(-250)). Suppose -2*b + t = 3*b. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -7237 >= 98901?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**3 - 19*p**2 - p + 11. Let f be r(19). Let b(q) = q**3 + 7*q**2 - 9*q - 7. Give b(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-4920)\/16*8\/(-3). Suppose 0 = -h + q + 310. What is h rounded to the nearest one hundred?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2054317066 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zlc when three letters picked without replacement from hctzl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -5 and 134?\nAnswer: -670","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Do 105925 and 105925 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 62\/40 + 42\/(-56). What is the second smallest value in d, 5, -0.4?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -343*v + 2 - 2 + 355*v.\nAnswer: 12*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 12 - 2. Let q be 4\/o + (-8)\/(-5). Suppose 4*m = -3*k + 117, -6*m + q*m = k - 127. What is the tens digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 9*q**2 - 2684*q + 13457. Determine v(5).\nAnswer: 262","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = r**2 - 4*r - 7. Let t be y(6). Suppose 2*u = 10*u + 48. Let f be 0\/(4 + (u - -4)). Which is the third biggest value? (a) f (b) t (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 3*n - 2. Let r be p(-2). Let o be r\/2*(-1 - 2). Calculate the greatest common divisor of 36 and o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -492 - -22751. Is p a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -842089*h**2 - 1775573*h?\nAnswer: -1684178","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n + 5*n = 45. Calculate the remainder when 33 is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -38, -137, -308, -557, -890, -1313?\nAnswer: -1832","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 3*w + 8. Suppose -10*j - 74 + 454 = 0. Let y = j + -44. Calculate k(y).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7 = 8*x - 9 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/4 in 3\/5, -4, 0.3, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 15 (b) 11 (c) 11\/6 (d) 2\/3 (e) 0.4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b - 2*o + 1 = -6, -14 = 5*b - 3*o. Let j be 3 + (-2 - b) - 0. Suppose z + j = -3. Sort z, 2, 5 in ascending order.\nAnswer: z, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1275 and 15?\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -16 + -1 - (-114 + -51 + 169)?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 111.5 - 112. Let f be 1\/(-4) - 36\/(-16). Let q be (f - 9\/(-15)) + -3. Which is the third biggest value? (a) u (b) q (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/2 of a kilometer in meters?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1650 - -1661. Solve o - 20 = h*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 178?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 4\/25 or 2\/7?\nAnswer: 4\/25","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 17149918?\nAnswer: 2, 8574959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*x**2 + 2*x**2 + 2*x**2)*(-x + x + x**3) + 17*x**5 + 124*x**3 - 161*x**3 + 80*x**3.\nAnswer: 16*x**5 + 43*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4)*-4*3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.1 - -6. Let z = 0 - n. Let t = z - 0. Which is the nearest to t? (a) -0.4 (b) -5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*n + 0 + 0)*(n + 0*n - 3*n).\nAnswer: -6*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) be the first derivative of -627*b**2\/2 + 860*b + 259. Differentiate t(z) with respect to z.\nAnswer: -627","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.357463 rounded to 2 dps?\nAnswer: -0.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/50)\/((-5)\/(-25))*-1.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -139*a + 133*a = 60 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -6117*r**2 + 7*r + 7056. Let v(d) = 3056*d**2 - 3*d - 3511. Let z(m) = 7*v(m) + 3*w(m). Find the first derivative of z(s) wrt s.\nAnswer: 6082*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-4 - (10 - 4)) + 19 - 8) + -7.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -i**2 - 114954*i + 229912.\nAnswer: -(i - 2)*(i + 114956)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1956*-337129\nAnswer: 659424324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 530479 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -471.6167666 to the nearest integer.\nAnswer: -472","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 257692 and 47673020?\nAnswer: 47673020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -4*y + 36. Let q = -6 + y. Let o(w) = -15*w + 3 - q. Let c(m) = -7*m. Determine 13*c(t) - 6*o(t).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 481742352 to the power of 1\/4, to the nearest integer?\nAnswer: 148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -616, -5440, -18544, -44068, -86152, -148936, -236560, -353164?\n\"Answer: -690*v**3 + 6*v + 68","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -371, -706, -1067, -1466, -1915?\n\"Answer: -2*t**3 - t**2 - 318*t - 50","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 i and 1 t when four letters picked without replacement from {t: 2, i: 4}.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 301*j + 300*j = -120*j + 18025 for j.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = z**3 - 14*z**2 - 1. Let u = 31 + -17. Let o be m(u). Sort -3, o, 4, 2 in decreasing order.\nAnswer: 4, 2, o, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6672 times 0.6?\nAnswer: 4003.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -12466, -49860, -112172, -199396, -311526, -448556?\n\"Answer: n**3 - 12465*n**2 - 6*n + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -382 - 73107*d**2 + 73104*d**2 + 382.\nAnswer: -3*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1305 (base 6) in base 12?\nAnswer: 235","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 8*i**2 - 137*i - 18. Let u be d(10). Let a = -595 - u. Let b(g) = g + 6. Determine b(a).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 102201 and 54.\nAnswer: 1839618","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 1280 divide 351537920?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/7)\/((-5)\/105). Suppose x*c = 14 + 4. Solve 7*b - 16 = c*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uditijte. What is prob of sequence tit?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (48 - 1) + (-102 - -72) + -17\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*l + 100*l - 2 - 54*l.\nAnswer: 115*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2833*q + 931*q + 3 + 924*q + 975*q - 3.\nAnswer: -3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 - (-9 - (-5 + -1))) + (32 - 13) + 27?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6461\/2769 - 128\/6.\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 1259964420 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*c - 5*p - 1 = 0, c + 5*p + 119 - 116 = 0 for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 112340 rounded to the nearest one thousand?\nAnswer: 112000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 32 = -6*q - 16 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 129747765 is divided by 129747754?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8878, -17836, -26794, -35752, -44710?\n\"Answer: -8958*i + 80","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3990?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1023 and 8547.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 divided by -13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 4276 - 4270. Which is the closest to 7\/4? (a) q (b) 0.1 (c) -0.03\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1371007925?\nAnswer: 5, 7, 17, 460843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-9)\/21 + (-2 - 244\/(-112)). Which is the biggest value? (a) l (b) 31 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 866916007 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2\/9, -2\/3, 3\/4?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) be the first derivative of i**3\/6 - 736*i**2 + 1083392*i - 2126. Factor r(b).\nAnswer: (b - 1472)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 1468.32573 and -0.4.\nAnswer: 1467.92573","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 72.27985 tonnes?\nAnswer: 72279850000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20*c**4 + 15885*c**3 - 110190*c**2 - 3089965*c + 779130 = 0 for c.\nAnswer: -11, 1\/4, 18, 787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) be the first derivative of -3*z**2\/2 + 5*z + 7. Let c = -8 + 2. Is q(c) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = -5*f + 94. Suppose -4*p + 64 = 2*j, 2*p + 2*p = -4*j + 120. Suppose 4*s - 36 = j. Calculate the remainder when s is divided by g(17).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -33*j + 24*j - 531 = 50*j for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q - 2. Let l(t) = 10*t + 11. Let u(s) = 11*c(s) + 2*l(s). Let x(w) = -8*w**2. Give x(u(p)).\nAnswer: -32*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3035 is divided by 188.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from twytwtt. Give prob of sequence ww.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 4.554368 millilitres?\nAnswer: 0.004554368","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 3, r: 7, t: 4}. Give prob of sequence rr.\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10 + -101?\nAnswer: -111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 0 = 20. Let f be (q\/(-12))\/((-2)\/(-438)). Suppose -4*k = 5*v - f, 6*v = -k + v + 7. Does 9 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -4 + (2*(-2)\/(-34) - (-12600)\/2142). Solve 7\/3*h**3 + 4\/3 - 8\/3*h + 1\/3*h**5 - 5\/3*h**4 + 1\/3*h**l = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 55996 + 204988 = 0. Does 8 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -613 = -13*z + 50. Calculate the highest common factor of z and 425.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-7 - -2) + (120 - 98)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -u**2 + 4*u + 8. Let c be q(5). Differentiate -8*k**4 - 4*k**3 + 13 + 9*k**c - 5*k**3 with respect to k.\nAnswer: -32*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12306024 (base 8) to base 5\nAnswer: 1144112321","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 23.46 minus -14807?\nAnswer: 14830.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 22 - 63075\/5775)\/((-9)\/336).\nAnswer: -32\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 1, z: 1, m: 1, g: 2, j: 1, c: 1}. What is prob of picking 1 c and 1 j?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -x**2 + 13*x - 15. Let c be r(10). Let n = c + -15. Suppose -z - 2*a = -n*z - 108, -15 = -3*a. Is 27 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -2*q*y - 9110225*q + 177075*y + 19 wrt q.\nAnswer: -2*y - 9110225","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -4*m**3 - 37084*m**2 - 84610396*m + 84647484 = 0.\nAnswer: -5211, -4061, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**2 + 4374*k - 4375.\nAnswer: (k - 1)*(k + 4375)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 2 p when three letters picked without replacement from upuuuzppz.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 561, 2.4, -3?\nAnswer: 561","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 33116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) = -f**3 + 2*f**2 - 1. Let b be i(0). Let z(n) = 2*n**3 + n**2 + n. Determine z(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 28 = 6*h - 4*t, -1 = 5*h - 2*t - 19 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -v**3 - v**2 + v - 10. Let a be m(-3). Suppose 7*p + 4*y = 2*p + 27416, 27388 = a*p - 3*y. What is p rounded to the nearest one thousand?\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-17*z + 2*z + 3*z)*(4*z**3 + 78 - 78).\nAnswer: -48*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 36595, -2\/15, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/5648 and 35\/2154664?\nAnswer: 1521192784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 - 0 - -2)*3. Let s be 6\/2 - (-1 - 1). Suppose -s*r + 44 + 81 = 0. Solve -8*b + n*b = -r for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h + 4*x - 42 = 6, 13*h + 16989*x - 16992*x - 167 = 0 for h.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -546 + 846. Suppose 0 = -16*x + 14*x + v. Calculate the highest common factor of 120 and x.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 59*x**3 - 6*x**2 - 2797*x - 10. Let z(b) = -31*b**3 + 3*b**2 + 1399*b + 4. Let m(d) = 2*j(d) + 5*z(d). Find the second derivative of m(w) wrt w.\nAnswer: -222*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -2*q + 12, -5*q + 16 = 2*k - 2*q. Suppose -k*o - 172 = i - 5*i, o + 44 = i. What is the smallest common multiple of 6 and i?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 7 and 142021?\nAnswer: 142014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 30 and 115.\nAnswer: 690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*t**2 - 15*t**2 + t**2)*((2 - 2 + 2*t)*(-3 + 4 - 2) - t + 0*t + 0*t + 2*t + 2*t - 3*t).\nAnswer: 14*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (2 + (-2)\/7)*(-756)\/72. List the prime factors of j*(-15)\/(180\/176).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 203776291+-42443.6\nAnswer: 203733847.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -f**2. Let l(u) be the third derivative of u**8\/630 - u**5\/15 + 14*u**2 - 5*u. Let h(c) be the third derivative of l(c). Give h(a(g)).\nAnswer: 32*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (k**2 - 19*k**2 + 6*k**2 + (-k**2 + 0*k**2 + 3*k**2)*(1 - 3 + 4)*(0 - 2 + 1))*(-k**3 + 15*k**3 + 9*k**3).\nAnswer: -368*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 133 divide 12502?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = -3*k**3 - 7 - 4*k - 6*k**2 - 3 + 4*k**3. List the prime factors of x(7).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2*-5*(-6)\/(-12)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -37829144383\/43246038 + 4\/655243. Let w = -2629\/3 - a. What is the common denominator of w and (2 - (-81)\/(-20)) + -2?\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7166 is divided by 4887?\nAnswer: 2279","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 210, 430, 698, 1014, 1378, 1790?\nAnswer: 2250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 1964 + -5436. Let u = w - -20341. Is u a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2172*j**2 - 10*j + 49*j**3 - 2174*j**2 - 218*j**3 wrt j.\nAnswer: -1014*j - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -6*p**3 + 30*p**2 + 214*p - 3. Calculate c(-5).\nAnswer: 427","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 200 + 335. Suppose -q = -9*r + 158. Is r a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a - 5*x - 70 = 0, 0*x - 30 = -5*a - 5*x. Let t be (-2 - a\/(-3))\/((-18)\/(-1296)). What is the highest common divisor of t and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 29*m - 14. Let o be y(4). Let v = -47 + o. What are the prime factors of v?\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 152028?\nAnswer: 2, 3, 41, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 16 + -20. Let g(v) = 9*v. Let u(x) = -3*x. Calculate n*g(l) - 11*u(l).\nAnswer: -3*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 285 + 437 = 19*l. Differentiate -13 + 47*a**2 + 4*a**2 + 55*a**2 + l*a**2 with respect to a.\nAnswer: 288*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 5575 + -22147\/4. Let s = x + -38. Which is the closest to -1\/4? (a) -5 (b) -1 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10418, 41667, 93754, 166685, 260466, 375103, 510602?\nAnswer: 666969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 145511, 145045, 144581, 144119, 143659, 143201, 142745?\n\"Answer: u**2 - 469*u + 145979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 25 + -21. Which is the biggest value? (a) o (b) -2\/17 (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2358*d + 2369*d - 7085*d + 2358*d - 6*d**2.\nAnswer: -6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 5744 or 476714\/83?\nAnswer: 476714\/83","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4740*o**3*x + o**3 + 431*o**2*x + 2*o**2 - o*x + 5*o wrt o.\nAnswer: 28440*x + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 5*w**3 - 3*w**2 - 5*w + 6. Let u(h) = -4*h**3 + 5*h**2 + 6*h - 4. What is 2*f(n) + 3*u(n)?\nAnswer: -2*n**3 + 9*n**2 + 8*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence bk when two letters picked without replacement from {w: 3, k: 2, e: 1, h: 1, v: 2, b: 3}.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = x + 1, -564449 + 91295 = -3*r + 3*x. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that 2*u**4\/13 + 54*u**3 - 1422*u**2\/13 - 3518*u\/13 + 4236\/13 = 0.\nAnswer: -353, -2, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-72)\/28)\/((-51)\/119 - 9\/(-14))?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2631 - 35.7569. Let o = -50.7 - q. Let j = 15 + o. Round j to one dp.\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13279317 at most as big as 13279318?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c = 2*m - 5 + 1, -5*m + 10 = -3*c. Let n = 1 - 1. Suppose f = -4*l - 12, -5*f + 3*l + 5 = -4. Solve -m*d + 4 = k, -3*k + n*d - 2*d = f for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 13 and 65?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round -11461 to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*n - 3*n - 2*n + (2 - 2 + 1)*(5*n - 4*n - 3*n) - 2*n + 1 - 1.\nAnswer: -5*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1381, 1396, 1427, 1480, 1561, 1676, 1831, 2032?\nAnswer: 2285","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((1 - -3) + -4)\/(-1). Suppose t = -3*l + 12 + 3. Let w = 12 + -6. Solve y - s = l, w*y - 16 = 2*y + 2*s for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 168 + -136. Suppose g*x - 17071 - 241 = 0. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5371606 is divided by 41?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 5268.663l?\nAnswer: 5268663","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 1\/36, -5, 0.5, -1, 10\/9?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*w - 107429, 71*l - 69*l = 10. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4 + 12)\/(-1))\/(9432\/(-12445) + 6\/38)?\nAnswer: 40\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-2)\/(-4))\/((-1)\/(-4)). Suppose -5*a = 3*s - 2*s - 71, -l*a - 2*s = -30. Suppose -2*i + 30 = -u - a, -u + 52 = 2*i. Does 24 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7266*l = -1978*l - 126912 for l.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.1931 + 0.5069. Which is the nearest to 1? (a) -4 (b) -1\/32 (c) o (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33569367 to the power of 1\/6, to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, 139\/2, -3, 0.22?\nAnswer: 0.22","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/((-1)\/(2 + -4)). Suppose m*v + 30 = 5*v. Solve 2*x - v = -2*j, 4*x = -5*j - 0*j + 24 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-1263)\/4 + 11\/(-88)*2. Let f = -118 - r. What is the highest common divisor of f and 33?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4.75 - -0.25. Sort -4, 1, h.\nAnswer: -4, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 57*a**2*i**3 + 100*a**2*i**2*z**2 - 19*a**2*i**2 + 2*a**2*z - 6*a*i**3*z**2 - 18*a*i**3*z + 2*a*z - 3*i*z - 2*i wrt i?\nAnswer: 342*a**2 - 36*a*z**2 - 108*a*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 - 8. Suppose 2*q = -681*j + 679*j + 20, -5*q - 3*j + 56 = 0. Put q, t, -3 in descending order.\nAnswer: q, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the second derivative of -2729*m**5\/10 + 55*m**4\/6 - 12*m**2 + 2388*m - 3. Find the third derivative of y(u) wrt u.\nAnswer: -32748","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + 5*-6*(2 + (sqrt(147) - (-2 + sqrt(147)*1)) + 3)*1)**2.\nAnswer: 42849","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.28 + 12.48. Let a = -2420.29 - -2432. Let t = a - s. Round t to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 1\/11 (b) -2 (c) 5 (d) 1\/5 (e) 32\/235\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -2, 0, 5 in descending order.\nAnswer: 5, 0.06, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*k = 13*k + 91 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 w and 1 q when three letters picked without replacement from wwwwwqwqwwwwwwww.\nAnswer: 13\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_test"},"subset":"dm_maths"} +{"text":"Question: Expand i**3 + 5*i**3 - 9*i**3 + 2*i**3 - 4 + 4 + (3*i**2 + 3*i**2 - 4*i**2)*(-2*i - i + 2*i) - i + i - 2*i**3.\nAnswer: -5*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13486*r**3 + 13507*r**3 - 26998*r**3 + 40*r**2.\nAnswer: -5*r**3 + 40*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -561 divided by -24492?\nAnswer: 187\/8164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify u**(-6)\/u*(u**(-1\/2)*u)\/u assuming u is positive.\nAnswer: u**(-15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) be the third derivative of 14*g - g**2 + 0 + 91\/6*g**3 + 1\/24*g**4. Let i(c) = -c**2. Determine j(i(n)).\nAnswer: -n**2 + 91","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-7)\/(14\/68) + -2. Let k be (1 - -1)*6\/v. Which is bigger: 0.1 or k?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -103 < -5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 24\/30*5\/2. Let t = u - 2. Suppose 5*a = -t*a. Solve 4*f + 1 + 7 = a for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.1461707 rounded to two dps?\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o + 3*f = 5, 3 + 7 = 5*o + 5*f. Let h(p) = -2*p + 1. Let n(m) = -3*m + 1. Let j(w) = -3*h(w) + 4*n(w). Is j(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -j + 1. Let g be r(-4). Suppose b - 4*w = 20, 0*b + 4*b = -g*w - 25. Let u = b + -4. Let v(t) = t - 5. Calculate v(u).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(-16)*c**(-4)*c assuming c is positive.\nAnswer: c**(-19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.47910321 + -9887.\nAnswer: -9886.52089679","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11424 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the second derivative of i**5 - 13*i**4\/12 - 689*i**2 - 3*i - 61. What is the derivative of b(h) wrt h?\nAnswer: 60*h**2 - 26*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 263 is divided by 138?\nAnswer: 125","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ajh when three letters picked without replacement from hahaahj?\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.17 - 0.03. Let k = -129\/92 + 38\/23. What is the second smallest value in 2\/15, 22, k, p?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i = 10*i + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Round 955.76 to the nearest one hundred.\nAnswer: 1000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) 2 (b) -4 (c) 0.07 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3327945 and 817.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ls when two letters picked without replacement from sllllllllllllslsslll?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express (y + 6*y - y)*(-945*y + 945*y - 20*y**3) - 6*y**4 + 0*y**4 - 2*y**4 as m + s*y**3 + b*y + v*y**4 + r*y**2 and give v.\nAnswer: -128","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1907346 to the power of 1\/3, to the nearest integer?\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2897 - 2896.86. Let g(s) = s + 5. Let k be g(-5). Which is the fourth smallest value? (a) x (b) 1\/4 (c) -2\/19 (d) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/51400 and 13\/30840?\nAnswer: 154200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13593 + 66.552686\nAnswer: 13659.552686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the third derivative of -65*q**8\/504 + 367*q**7\/315 - 59*q**6\/50 + 26*q**5\/225 + 2*q**4\/9 - 4*q**2 + 4*q + 87. Determine h, given that t(h) = 0.\nAnswer: -2\/13, 0, 2\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 52\/(-2 + (0 - -4)). Suppose 100 = i - d. Let f = -39 + i. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1019?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Divide 626495688 by 5.\nAnswer: 626495688\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -5*w**4 + 5835025*w**3 - 1702390425000*w**2 + 8511806250000*w = 0.\nAnswer: 0, 5, 583500","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-21)\/(-28)*3\/(-9)?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2123855 to the nearest integer?\nAnswer: 1457","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of -2*o - 1\/120*o**5 - 3*o**2 + 1\/12*o**3 - 1\/96*o**4 + 1\/480*o**6 + 0. Let p(b) be the first derivative of i(b). Factor p(a).\nAnswer: (a - 2)*(a - 1)*(a + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -50 - 42686?\nAnswer: -42746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is -18 not equal to 2\/9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -83864*n**2*s**2 - 863*n**2*s - 27*n*s wrt s?\nAnswer: -167728*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 36484142*g - 115539612.\nAnswer: 36484142","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2499\/42 + 1\/(-2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-59 - -56) + (21 - 4).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 31\/6 and 37\/14076.\nAnswer: 14076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-344)\/(-28) + 4 - (-10)\/(-35) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 42 + 6385\/14*(-28)\/304?\nAnswer: -1\/152","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3 + -38. Let r = m - -27. Which is smaller: r or 1\/4?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -17766 and -6110?\nAnswer: 108550260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-9)\/(-3)*(56\/(-12) - -2). Let z(y) = -35*y**2 - 4*y + 8. Let i be z(x). Round i to the nearest 1000.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 22 by 94.\nAnswer: 11\/47","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = o - 3*r - 6, 0*o + 10 = -5*o - 5*r for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1 or -26\/285?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/10 of a tonne?\nAnswer: 100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 3*m**2 + 0)*(-9*m - 17*m + m).\nAnswer: 75*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(68)\/sqrt(100) - sqrt(1700)*2) + 4 + ((sqrt(136)\/(sqrt(16)\/sqrt(2))*-1)**2 - sqrt(85)\/(sqrt(5) - -5*(sqrt(45) - sqrt(5)))).\nAnswer: -1094*sqrt(17)\/55 + 21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*q - 4*q + 16. Let b be (8\/(-4) + 2)\/(-1). Suppose q*m - 18 + 2 = b. Solve -10 = m*h + 10 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 74565 is divided by 39.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert -44441055 (base 7) to base 11.\nAnswer: -21945a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 10118 = -r, -165 = -w - 5*r + 2333. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 407 and 1075558?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = 5*x + 3. Let s be d(-3). Let r(m) = m**2 + 5*m - 7. Is 20 a factor of r(s)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 2\/7 + 66\/14. Let z be (5*2)\/(10\/k). Let l(u) = u**2 + 2*u + 4. Is 13 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h + 4. Calculate g(-6).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + (0 + sqrt(3))*-6 + (sqrt(3) - sqrt(108))*-6)**2 + (sqrt(3) - (3 + (sqrt(12))**2) - 2*sqrt(48)).\nAnswer: -7*sqrt(3) + 1860","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -98\/5 - -20. Solve 2\/5*u**2 + c + 4\/5*u = 0 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25306.999994264 + -25307. Round l to 7 decimal places.\nAnswer: -0.0000057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) = -3*v - 11. Let w(h) = 29. Let d(o) = o + 28. Let i(n) = 6*d(n) - 5*w(n). Let z(f) = 3*i(f) + 5*m(f). What is the units digit of z(7)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from lyvvccncciclvcv. What is prob of picking 1 c and 2 v?\nAnswer: 36\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.09 - 1.91. Sort -0.1, -5, o.\nAnswer: -5, o, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 8\/5 + -2. Let z be 2\/(-6) - 16\/24. Let q = -9 - -17\/2. What is the nearest to q in 0.5, g, z?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (6*t**2 + t**2 - 13*t**2 + (-t + 0*t - t)*(t - t + t))*(4*t - 2*t + 0*t) - 2*t**3 + 0*t**3 + t**3 as m*t**2 + a*t + o*t**3 + b and give a.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**4\/2 + 3772597*s**3\/2 + 2372081982834*s**2 + 994324581399132920*s + 994322209319036384.\nAnswer: (s + 1)*(s + 1257532)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 0.21 + -97526920444346\nAnswer: -97526920444345.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 12.9 times -0.0034482\nAnswer: -0.04448178","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-42)\/(-9)*(1 + 11). Let c be 1836\/270 + (-1)\/(-5). Calculate the highest common divisor of c and g.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*k + 4*k**3 - 126*k + 27*k + 36*k**2 + 7*k = 0.\nAnswer: -10, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -37*k = q - 40*k + 23, 4*q + 7*k = 3 for q.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1 or 1024\/2523?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 280753342?\nAnswer: 2, 307, 457253","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -214455358 divided by -10102.\nAnswer: 21229","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -80279.429 + 80240. Let k = u - -39.6. Round k to 2 decimal places.\nAnswer: 0.17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 18\/(-99) + 5\/(55\/24). Let b(a) = -3 + 135*a**2 - 49*a**g - 46*a**2 - 51*a**2. Let x(j) = 5*j**2 + 2. What is 3*b(q) + 7*x(q)?\nAnswer: 2*q**2 + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -113233332220 (base 4) to base 13.\nAnswer: -139ca32","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 2\/(-3)*(2 + -3 + 7). Let p(u) = -7*u - 20. Let m be p(i). Solve m = -3*o - 4 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/(-4)*(-76 - -76). Let n(h) be the second derivative of 0*h**2 - 1\/12*h**4 + m - 1\/6*h**3 + 14*h. Factor n(o).\nAnswer: -o*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 168 + -167.21. Let w = -2.48 + o. Round w to 1 decimal place.\nAnswer: -1.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 227?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 29886 is divided by 143?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -11303010 (base 4) to base 9\nAnswer: -35516","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 o when two letters picked without replacement from {x: 6, r: 4, o: 5, w: 3, c: 1, a: 1}?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 131510865?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 179961*g**2 - 276*g + 345. Let f(s) = 5293*s**2 - 8*s + 10. Give 138*f(c) - 4*l(c).\nAnswer: 10590*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = -t**2 - 11*t + 9. Let u be c(-12). Let z(s) = 2*s + 6. Let l be z(u). Factor -7*p**3 + l - 2\/3*p - 17\/3*p**4 - 5\/3*p**5 - 11\/3*p**2.\nAnswer: -p*(p + 1)**3*(5*p + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*k + 379 = 422 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2385583 is divided by 1050.\nAnswer: 1033","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.015 in 1, -3\/41, 0.4, -2, 0.3?\nAnswer: -3\/41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1124678 is divided by 248?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-20)\/(-12)*112\/(-10)*48\/(-28)?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*i + 2*i - 11*i)*(6*i - 29*i - 7*i)*(0*i - 2*i + i)*(0*i**2 - 3*i**2 + 2*i**2).\nAnswer: 150*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 5 - (2 - 1)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*v = 3*v + 15. Suppose -6 = v*d - d. Find the common denominator of -15\/4 and (d\/(-4))\/((-27)\/(-474)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 43582925, -4 in descending order.\nAnswer: 43582925, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -5*t**4\/24 - 5*t**2 - 4. Let s(i) = -23*i**2. Give y(s(d)).\nAnswer: 115*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times 137?\nAnswer: -274","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 53\/2 - 27. Let r = 0.187 - 0.175. Let y = -0.488 - r. Do y and b have different values?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*(-2*sqrt(3)*2 - sqrt(27)\/sqrt(9)*3))**2.\nAnswer: 5292","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2051\/3 - -684. Let w(l) be the first derivative of -4 + 0*l**2 - 2\/9*l**6 + 0*l + 0*l**3 - 1\/12*l**4 + k*l**5. Solve w(p) = 0 for p.\nAnswer: 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 5*y + 18 = g, -5*y + 21 = -g. Let w be ((-1)\/4)\/(-6 + -56). Let u = w - 503\/1736. Which is the nearest to u? (a) -0.4 (b) g (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (0 - 121) + (-9 + -19 + 17 - (73 - 81))?\nAnswer: -124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -r**2 - 41*r - 31. Determine l(-29).\nAnswer: 317","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3)**4 assuming m is positive.\nAnswer: m**12","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is l in -6*l**5\/13 - 800*l**4\/13 + 11210*l**3\/13 + 16620*l**2\/13 - 3560*l\/13 - 8176\/13 = 0?\nAnswer: -146, -1, 2\/3, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y = 5*t - 30, 2*t + 6*y - 28 = 2*y. Let q = -2 + 2.2. Let v = -0.2 + q. Sort v, t, 5\/4 in descending order.\nAnswer: t, 5\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 197038 to the power of 1\/2, to the nearest integer?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 8 + -3. Suppose 2*m = -3*w + 25, r*w + 0*m - 47 = -2*m. Calculate the highest common factor of 22 and w.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -42961\/19 + 2261. Which is the fourth smallest value? (a) k (b) -6\/7 (c) -0.2 (d) -0.04\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*k**2 - 3*k**2 - 21*k**2 in the form u + p*k**2 + m*k and give p.\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 + 4 - d + 0*d)*(-1 + 0 - 1).\nAnswer: 2*d - 16","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 36 = 3*i. Let w = 74 - i. Find the second derivative of -10*u + w*u**4 - 59*u**4 + u wrt u.\nAnswer: 324*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 7*m**3 + 5*m**2 + 6*m + 2. Let y(g) be the second derivative of 2*g**5\/5 + g**4\/2 + 7*g**3\/6 + g**2 + 369*g. Give 6*a(k) - 5*y(k).\nAnswer: 2*k**3 + k + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1554301 + -806808. Is u a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 21761 and 21763 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = -4*v. Let l(i) be the third derivative of 7*i**5\/30 + 8*i**2. Calculate n(l(x)).\nAnswer: -56*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -42853*d - 40783*d + 86359*d - 9818*d**4 wrt d?\nAnswer: -117816*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 41 is divided by -2 + 13 - (0 + 0).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b - 20 = -3*b for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*((sqrt(425)*2 - sqrt(425)) + -1))**2 - (((sqrt(425) + -1 + sqrt(425))*-6)**2 + 5).\nAnswer: -57407 + 630*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 98 - 88 = 3*l, -2*l = -s + 2. Solve s = -h + 3 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 233*c - 233*c + c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 1051286414 to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b**3 + b**2 - b - 1. Let m(d) = 11*d**3 + 7*d**2 - 5*d - 4. Let k(p) = -m(p) + 4*o(p). Let c(y) = 15*y**3 + 7*y**2 - 2*y. What is 4*c(w) + 9*k(w)?\nAnswer: -3*w**3 + w**2 + w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (-3)\/((9\/(-4))\/(3486\/28)) is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i when two letters picked without replacement from ncxtnxcncxixtxixxt.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 12034 + -12033. Let h be ((-5)\/2)\/(2\/(-4)). Let y be (-2)\/2*(-6)\/2. Sort y, 8, s, h in decreasing order.\nAnswer: 8, h, y, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/(-3) + 370\/111?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = -3*g**2 - 27*g + 11. What is x(-9)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z - 2*h = -8, 5*z + h + 5 = -0*z. Let l(j) = -j**3 - 34*j**2 - 68*j - 1150. Let o be l(-33). What is the tens digit of (o\/z - -3)\/((-4)\/(-208))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1\/4 of a milligram?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -2, 0.042, -1, 2\/17, 1?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = 3*q**2 + 4*q + 2. Let c be b(-2). Let y = 129 + -130. What is the common denominator of (c\/(-8))\/(6\/(-82)) and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 368 + -353. Let r = -315 + 320. Solve -m = r*y + 5 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(-2*sqrt(1539)*-2 + -2 + 1)**2.\nAnswer: -73875 + 216*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*m - 22 = 2*a - 52, 2 = -2*m + 2*a. Is 37 a factor of (-6018)\/(-90) - m\/(-30)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.5 and 62.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*r**2\/5 + 4922*r\/5 + 4924\/5.\nAnswer: -2*(r - 2462)*(r + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 79053, 632457, 2134547, 5059665, 9882153, 17076353, 27116607?\n\"Answer: 79057*w**3 + w**2 + 2*w - 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 73507*u - 116 = -73506*u, -5*k - 5*u = 200 for k.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 7855999?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**(-25)*x**25\/x)\/(x**(-18)*x\/(x*(x\/x**25)\/x*x)) assuming x is positive.\nAnswer: x**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (11 - 4 - 13) + 6 - -24 - 5\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*j**4 + 35*j**3 + 75*j**2 + 65*j + 20 = 0. What is j?\nAnswer: -4, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1988.\nAnswer: 2, 7, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -4*z**2 + 95*z - 956. Give i(11).\nAnswer: -395","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 373407 and 167535274?\nAnswer: 502605822","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = -12*m**3 - 6*m**2 + 7*m - 8. Let o be b(4). Let h be o\/(-14) - (-16)\/(-56). What is the highest common divisor of h and 30?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 822332, 1644667, 2467002, 3289337, 4111672, 4934007?\nAnswer: 5756342","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 71862 and 253750.\nAnswer: 44913750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 6*q**2 - 10*q - 10. Let u(s) = -4*s**2 + 7*s + 7. Let h = 8 - 3. Let d(n) = -n**2 + 5*n - 2. Let w be d(h). Let v = 7 + w. What is v*p(b) + 7*u(b)?\nAnswer: 2*b**2 - b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 50316.98ug to tonnes.\nAnswer: 0.00000005031698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 44 and 48.\nAnswer: 528","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1*12\/44)\/((-129)\/(-344)).\nAnswer: -8\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (9 - 1) + (32 - 22)\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 4 + -4. Suppose p = 4*s + y - 10, -5*y + 1 - 20 = -3*s. Sort 2, 1, s in increasing order.\nAnswer: 1, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -145, 0.3, 1\/5, -2\/5, -5 in increasing order.\nAnswer: -145, -5, -2\/5, 1\/5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) = 2*s. Let a(j) = 2*j - 414791. What is a(o(q))?\nAnswer: 4*q - 414791","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 12.84 - -0.16. Let b = z - 21. Let w = b + 8.000058. Round w to five dps.\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -407 and 11.29?\nAnswer: 418.29","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -261 + 265. Solve 22\/7*g**3 - 22\/7*g - 4\/7 + y*g**4 - 24\/7*g**2 = 0 for g.\nAnswer: -1, -1\/2, -2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 6 (b) 4 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) be the second derivative of -25*q**6\/6 + 4*q**2 + 105*q. What is the first derivative of x(s) wrt s?\nAnswer: -500*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5601 - 5671 + 11272 - 337*z.\nAnswer: -337*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = -70*d - 4246. Determine s(-61).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -217 = -5*o + v, 26*v - 31*v - 10 = 0. What is the units digit of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + 6 + (11 - (-6 + 23)) + 0\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = 3*z**2 - 13*z**3 - 9 + 9*z + 0*z + 0. Suppose 0 = -m + 4*h - 20, h = -2*m + 2 - 6. Let r(u) = -6*u**3 + u**2 + 4*u - 4. What is m*q(y) + 9*r(y)?\nAnswer: -2*y**3 - 3*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1365213742?\nAnswer: 2, 643, 1061597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -10\/13*a - 2\/13*a**2 + 2\/13*a**3 - 6\/13 = 0.\nAnswer: -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*q + 10 = 13*i - 14*i, 0 = 4*q + i + 13 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -10 - -1. Let j be (5\/(-20) - (-3)\/12) + 1. Suppose 40 = -4*c - 4*a, -j = -4*a + 3*a. Which is smaller: h or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1933584 + 1254884. What is x rounded to the nearest ten thousand?\nAnswer: -680000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -90*r + 818 = 20*r - 612. Let z be (-14 + -1)\/(-3 + 2). Solve -z*l = -r*l - 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1866050 or -1866051?\nAnswer: -1866050","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d**(7\/3)*d*d)\/((d*d**(-4))\/d)*(d*d**(2\/7)\/d)**(-7\/9))**0 assuming d is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -44 divided by -564.\nAnswer: 11\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -4 + 8. Let p = -0.23 - 0.07. Let b = p - -0.6. What is the smallest value in -3, t, b?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 8*p + 0*p + 15*p + 22. What are the prime factors of f(9)?\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-312)\/(-7) + (-6)\/(-14)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = -12*o + 868. Determine w(98).\nAnswer: -308","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = 3*x**2 + 2*x - 8. Let n(g) = 52*g**2 - 207 + 216 - 2*g - 55*g**2. Let r = 2 - -4. What is r*n(w) + 7*v(w)?\nAnswer: 3*w**2 + 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*x - 107*m + 110*m = -6, -m - 16 + 2 = -4*x for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*t = t + 6755. Suppose 2*r + 2 = 3*r, f - t = 5*r. Is f a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 take away -2.09?\nAnswer: 2.49","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 9236?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -11*j = -29*j + 36 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(121) + sqrt(121)*2 - sqrt(121)) + sqrt(121))*-3)\/(2*sqrt(11)*1).\nAnswer: -9*sqrt(11)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 968 or 35\/4999?\nAnswer: 968","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (-6)\/(-2) - (1 - 5 - -11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*m**3 - 356*m**2 - 352*m.\nAnswer: -4*m*(m + 1)*(m + 88)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 q and 1 c when four letters picked without replacement from {q: 10, c: 3, r: 4, z: 3}?\nAnswer: 24\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*m = 2*r - 12, 2*m - 1 = r + 5. Suppose 3*d + r*d - 300 = 0. Suppose -5*n + n = -d. What is the tens digit of n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -19, -25, -35, -49?\n\"Answer: -2*t**2 - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y**3 + 3*y**2 + 2*y + 29. Let f(k) = 3*k**3 - 5*k**2 - 4*k - 59. Let z be (20\/(-8))\/(-2 - (0 - (-30)\/(-12))). What is z*u(q) - 3*f(q)?\nAnswer: q**3 + 2*q + 32","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 27393*c = 27262*c + 12445 for c.\nAnswer: 95","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 6642 and 13627662?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.15 - 0.04. Let q = v - -0.29. What is the second smallest value in -0.1, q, -1\/8?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -30 - -23?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, -2, -3, 517, 3 in descending order.\nAnswer: 517, 3, 2, -2, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.543047 rounded to 2 dps?\nAnswer: -1.54","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -4, 5780657, 7.\nAnswer: -4, 2, 7, 5780657","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(10)\/(sqrt(12)\/(sqrt(6) + sqrt(12)\/sqrt(2) + sqrt(6))).\nAnswer: 3*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 - 37?\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 6:20 AM?\nAnswer: 4:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + -0.3. What is the nearest to -2\/9 in 0.2, -15, u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 476\/(-1309)*(-55)\/1670?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -10069 - -9831. What is the closest to 2\/7 in c, 0.3, -0.5?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-8)\/(-6))\/(-1)*(-276)\/16. What is the highest common factor of w and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, 9, 5 in ascending order.\nAnswer: -8, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 12 + -7. Let k(g) = a*g**2 - 5*g**2 + 2*g**2. Let y(o) be the second derivative of -o**3 - o. Give k(y(j)).\nAnswer: 72*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 52, -1, 5 in decreasing order.\nAnswer: 52, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-4)\/16 + 34\/8. Sort -3, u, -2, -6 in descending order.\nAnswer: u, -2, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2303110 - -10?\nAnswer: -2303100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -1151.2 - -1151. Sort -2\/5, -0.1, l, 4 in descending order.\nAnswer: 4, -0.1, l, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 2*r = 4*b - 36, 5*b + 25 = 0. Let l = -16 + r. Let g be 0*(-4)\/l + 4. Solve -g*n = -n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 130 + (-1 - 14) + (-512 - -489)?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = o**3 - o**2. Let d(a) = 1 + 2*a - 4*a**2 - 6*a**3 - a + 8*a**3. Let u(g) = -4*d(g) + 12*s(g). Factor u(f).\nAnswer: 4*(f - 1)*(f + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 25569694, 5 in ascending order.\nAnswer: -5, 5, 25569694","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-36)\/165 + 4\/10. Is 0 < f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the first derivative of 5*i**4\/4 - 2*i**2 - 4*i + 2. Let f(c) = c**3 - c - 1. Let s = -1 + -3. What is s*f(t) + j(t)?\nAnswer: t**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-3095)\/(-20)*(1*85 - (-115)\/(-23))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 - 3*t + 3. Let d be h(1). Suppose -2*q - g + 6*g = -64, 0 = -5*q + d*g + 160. Calculate the remainder when 39 is divided by q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 4010*u + 46 + 80 + 126.\nAnswer: 4010*u + 262","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Work out -9619321 - 64841.\nAnswer: -9684162","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 232 - 183. What is the smallest common multiple of 49 and y?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-3\/5)\/(l*l**1*l))\/(l**5\/((l**2*l)\/l*l)))**(1\/39) assuming l is positive.\nAnswer: l**(-28\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -24*n + 24 = -16*n. Solve -a = -z - 12 + 13, -a = n*z - 3 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25\/((-3750)\/180)*-45*(-2)\/(-4)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -8 - (11 + -13)\/((-2)\/(-8))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -6\/29 (b) 0 (c) -1\/4 (d) 94 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1479 + -432. Let r = m - 1046.5. Which is the nearest to -0.3? (a) r (b) 2 (c) 3 (d) 1\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 835870 and 90?\nAnswer: 7522830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 572 - 782. Let d = -839\/4 - b. Factor -3\/4*q**2 - d + 1\/4*q**3 + 3\/4*q.\nAnswer: (q - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -g + 5*t + 11, -4*g - 12 = -3*t. Let b be 0 - (-4 + 0 - g). Let y be b\/(-10) + (0 - 0). What is the nearest to 2\/5 in y, -0.17, 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -1486643*q + 71. Let y be c(-3). Round y to the nearest 100000.\nAnswer: 4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (32343*b**2 - 15598*b**2 - 10662*b**2 + 52593*b**2 + 51874*b**2 + 94338*b**2)*(0*b - 3*b + 5*b) in the form n + u*b**3 + v*b**2 + o*b and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -411, -412, -413?\nAnswer: -414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 474*k + 972*k - 19*k + 255*k.\nAnswer: 1682*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 1285 = -3*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 166 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: -199.9 - -956\nAnswer: 756.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 20409692?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k + 4 - 0, x - k = 0. Let p(l) = l**2 + l - 1. Let r(f) = 2*f**3 + 10*f**2 + 8*f - 12. Give x*r(y) + 10*p(y).\nAnswer: -2*y**3 + 2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = f**3 + 6*f**2 - f - 4. Let w be p(-6). Let q = 12.7 + -13. Let d be 2\/(-10) - (-4)\/45. Which is the smallest value? (a) q (b) d (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33242 + -33234. Let y be (-6)\/(-15) - (-4)\/(-10). Suppose -4*m = w + 2*w, 5*m + 2*w + 7 = y. What is the third biggest value in -2\/5, q, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -1212 + 1212. Suppose p - 1 = -0*z + z, -4*z - p + 21 = 0. Solve -5*m + 4*l + 0*l + 14 = 0, s = -z*m + l + 9 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25866 divided by 4311?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(2) + 0)*5)**2 + (sqrt(8)\/sqrt(4)*6)**2.\nAnswer: 122","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (i - 2*i + 3*i)*(-45*i - 87*i**3 + 4*i**4 + 87*i**3).\nAnswer: 8*i**5 - 90*i**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-17)\/(-68)*-12*1\/6. Let k be (1 + (-24)\/21)*-1. What is the closest to l in -1\/3, k, -2?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -145, -289, -431, -571, -709, -845?\n\"Answer: w**2 - 147*w + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(13) + sqrt(65)\/sqrt(5))*1)**2*2.\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of h**4\/54 - 2*h**3\/27 - 5*h**2\/3 + 2*h - 13. Determine w so that l(w) = 0.\nAnswer: -3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 68 + -12a81b?\nAnswer: -12a773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 401?\nAnswer: 401","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 402 minutes after 8:03 AM?\nAnswer: 2:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 40\/37219 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 - 5*g - 651. Give v(28).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2094542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 5, 1, -1, 0, 190.\nAnswer: -3, -1, 0, 1, 5, 190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -6*k**2 + 20*k + 4. Let z(v) = -7*v**2 + 19*v + 5. Let r(j) = 6*l(j) - 7*z(j). Let a(x) = 2*x**2 - 12. Let s be a(3). Is r(s) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -812*m**3 - 48*m**2 - 15585*m. Let b(a) = 1625*a**3 + 88*a**2 + 31169*a. Let r(s) = -6*b(s) - 11*v(s). What is the second derivative of r(c) wrt c?\nAnswer: -4908*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (70\/(-20))\/((-3)\/(-6)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9738.\nAnswer: 2, 3, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 2*i + 8 = -2*j, j = 2*i + 8. Suppose -6 = 2*o - j*o + 3*r, -4 = 5*o + 2*r. Solve -2*v - 2*v - 12 = o for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 65627 is divided by 19913.\nAnswer: 5888","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + 5*k - 18 = 0, -12321*c + 12319*c - 3 = k for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the third derivative of o**5\/30 + 3*o**4\/8 + o**3\/3 - o**2. Is w(-11) a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that 18*z**4\/7 - 26*z**3\/7 - 10*z**2\/7 + 26*z\/7 - 8\/7 = 0.\nAnswer: -1, 4\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m + 3754021*x + 3 = 3754020*x, -7*m + 43 = 3*x for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -13*m**3 + 3*m**2 - m - 4. Let n be d(-2). Suppose 116*r - n*r = 44. What is the remainder when 307 is divided by r?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*b + u + u - 62 = 0, 0 = 5*b + 5*u - 75. Suppose -s + 5*s = b. Let n = 3 - 3. Solve 3*y + s - 13 = 2*r, r + y - 3 = n for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11633 = 9*k - 205304. What is the units digit of k?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the first derivative of 49*v**6\/2 - 651*v**5\/5 + 621*v**4\/4 + 29*v**3 - 84*v**2 - 36*v + 169. Let q(z) = 0. What is z?\nAnswer: -2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 20 + 2. What is the lowest common multiple of a and 2?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 269092 is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 34809 is divided by 590?\nAnswer: 589","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -10, 30406 in increasing order.\nAnswer: -10, 4, 30406","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21*y**2 + 498 - 273 - 225 - 19*y**2.\nAnswer: -40*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 6 + -3. Let n be ((-65)\/(-10) - 5)*(-8)\/6. What is the closest to -0.1 in -2\/3, p, n?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 + -1)\/((-2)\/(-16)). Suppose -2*i + 4*i - w = 0. Suppose -i*s - 320 = -9*s. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (51 - -3)*(4 - (-22)\/(-6)). Let k be 12\/54 - 20848\/o. What is k rounded to the nearest one hundred?\nAnswer: -1200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/2 + 5213*c**2\/2 - 5215*c.\nAnswer: c*(c - 2)*(c + 5215)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -45 = -3*q - 2*q. Let c(z) = z - 21. Let d(o) = -o + 43. Let r(v) = -7*c(v) - 4*d(v). What is the least common multiple of r(-10) and q?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, 1, 35, 12851 in descending order.\nAnswer: 12851, 35, 12, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -13939 or -264818\/19?\nAnswer: -13939","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = p**3 + 2*p**2 + 3*p + 3. Let o be c(-2). Let q = -2 + 5. What is the common denominator of 143\/6 and (35\/q)\/(2\/o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 623 minutes after 12:52 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(1\/2))**(-3\/19)*(p\/((p**(-3)*p)\/p))\/(p**(-9)\/p))\/((p*p*p**(-2\/7)\/p*p)**(-8\/7)*(p\/(p*p\/p**(-2\/5)))**(-34\/5)) assuming p is positive.\nAnswer: p**(296069\/46550)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*l - 48*l - 19*l)*(15 + l**3 - 15).\nAnswer: -65*l**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -a = 2*a + z - 1415, -2*a - z + 945 = 0. Let l = a + -255. Let h = l + 335. Round h to the nearest 100.\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 1124150025 = -2*d - a, -5*d = 4*a + 2810375051. Let h = d + 843112549129\/1500. Let w = 1\/375 - h. What is the common denominator of 29\/10 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 3238 to the nearest one hundred.\nAnswer: 3200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -161, -158, -155?\n\"Answer: 3*c - 164","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2\/15, 1144\/3, -3\/586?\nAnswer: 1144\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 11 divided by -2\nAnswer: -11\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 483 + 33. Suppose 4*j - a = j. Suppose 3*g + j = 5*g. What is the tens digit of g?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify l*l\/(l\/(l*l**(-8)\/l))*(l\/(l**(-13)*l))\/l assuming l is positive.\nAnswer: l**5","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 20 and 90.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0062793 to 4 decimal places.\nAnswer: 0.0063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l*l**(-6)\/l*l*l*(l*l**(-7)*l)\/l*(l**(-1)*l)\/(l\/((l*(l\/l**(-2\/3)*l)\/l*l)\/l)))**(-2\/65) assuming l is positive.\nAnswer: l**(10\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 133 and 959.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(3*((sqrt(96) + sqrt(96) + (sqrt(96) - 6*-2*sqrt(96)))*-6)\/((sqrt(576)*-1)\/sqrt(12)))**2.\nAnswer: 145800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -33, -34, -37, -42?\n\"Answer: -i**2 + 2*i - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2)\/(-3) + 51\/(-63). Let i = 0.2 - -0.3. Let o = 1.94 - -0.06. Which is the nearest to o? (a) 0.4 (b) i (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -176 less than -174?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/4 and -103\/48492.\nAnswer: 48492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 25*t + 5*m = -20, -3*t + 4*m - 36 - 26 = -9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -13235, -52947, -119137, -211805, -330951, -476575, -648677?\n\"Answer: -13239*k**2 + 5*k - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 40612 - 28917. Is l a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 - (6 + (6 - (-5 - -13))).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 2*(sqrt(720) + (2 + sqrt(720))**2).\nAnswer: 120*sqrt(5) + 1449","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((-3*sqrt(4000))\/sqrt(8) + (-5 + sqrt(605)*1)**2).\nAnswer: -280*sqrt(5) + 1260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1c (base 13) in base 12?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -10020120 - -2022000?\nAnswer: -221120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 61.8856 litres to millilitres.\nAnswer: 61885.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 + 12*r - 2. Let n be x(-10). Let z = n + 24. Suppose -2*c = -3*v - 153, -54 = -c - z*v + 12. What is the remainder when c is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 110 - 2 = 27*u. Suppose -3*g - g = u*c - 4, 4*g + 21 = c. Solve m = -p - 2, -10 = -p - 0*p - c*m for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + 6*(sqrt(605)*-3 + -4).\nAnswer: -198*sqrt(5) - 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3275 and 570425?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 1 + 2)*(-2*u - 3 + 3) - 3162 - 1030*u - 1020*u + 2053*u.\nAnswer: u - 3162","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5492 is divided by 25?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = 3*k**2 + 2*k + 1. Let w(d) = -9*d**2 - 6*d - 2. What is 7*m(o) + 2*w(o)?\nAnswer: 3*o**2 + 2*o + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 307, 602, 899, 1198, 1499, 1802, 2107?\nAnswer: 2414","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 26973398 or 26973385?\nAnswer: 26973385","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (1 + sqrt(304))**2*5)*-2 + -1*(sqrt(304)*2*-5)**2*5.\nAnswer: -155060 - 80*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 + (-4 + 3 - 6) + 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 41109800603 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (8\/14)\/((-16)\/(-56)). Suppose 5*k - v = 28. Solve -2*w - k = -0*w for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5825 is divided by 67.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 137429\/17004 + 5\/4251. What is the common denominator of d and 370\/(-15)*(7\/(-12))\/7?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1\/189 + 442\/189. Let n(p) be the first derivative of 32\/5*p**5 - 11\/2*p**4 + 4\/3*p**3 + 0*p**2 - y*p**6 + 0*p + 1. Determine k, given that n(k) = 0.\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -17*d**3 + 10695*d**2 - 33179*d + 630. Calculate v(626).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -145340 by -72670.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(3) - -1*sqrt(3))*-1 + (-5*sqrt(12)\/sqrt(4) - sqrt(3)) + 0 + (sqrt(192)*-2 - (-1 + sqrt(75) + sqrt(75) + 0 + sqrt(75))**2).\nAnswer: -677 + 6*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the second derivative of f**4\/3 + f**2\/2 - 2*f. Suppose 8*o + 8 = -0. Calculate i(o).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 331 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -5*c - 7. Let z = 13 - 19. Let a be b(z). Suppose -4*o = 16, 2*w - a - 9 = -4*o. What is the tens digit of w?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5*o*p**3 + 3469*o*p**2 + 46*o*p + 78*o + 215*p**3 - 2*p**2 - 2182*p wrt p?\nAnswer: -30*o*p + 6938*o + 1290*p - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3*1 + 3 + 0. Let q(f) = -3*f**4 + 6*f**2 + 2. Let c(v) = 9*v**4 - 17*v**2 - 5. Let l(d) = i*c(d) + 17*q(d). Find the first derivative of l(p) wrt p.\nAnswer: 12*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, -2976, -4, -2165 in ascending order.\nAnswer: -2976, -2165, -4, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -64*q = -66*q + 4*p + 3 - 13, 2*q - 2*p + 10 = 0 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: Total of -4.058 and 1.8449478.\nAnswer: -2.2130522","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j + 20 = -4*l, -4*j + 12 = -0*j - l. Solve -2*w = r + 3, j*w + w = -4*r - 17 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = d**3 - 3*d**2 + 24*d - 5. Let s(o) = -o**3 + 2*o**2 - 12*o + 3. What is -3*h(z) - 5*s(z)?\nAnswer: 2*z**3 - z**2 - 12*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*g - 12 - 3, -4*p + 12 = 4*g. Solve p = -4*j + 3*a + 3 + 23, 3*j = 5*a + 25 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1367307 to the nearest integer?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 2043 - -606. Let z be (-1)\/(1758\/t) + 51\/34. Sort -2\/11, z, 4.\nAnswer: -2\/11, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -8, 2\/3, 5, -13\/7 in decreasing order.\nAnswer: 5, 4, 2\/3, -13\/7, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*p - p - 2*p)*(-1293*p + 56*p**3 + 1293*p)*(-3*p + 0*p + 4*p).\nAnswer: 112*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z = -z + 8. Let p be (z - 3\/(-6))*-2. Is (-2244)\/(-15) + p\/(-5) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -291685136764.000194 - -291684849110. Let g = -287682 - r. Let a = g - -28. Round a to five dps.\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -122*p + 40*p + 56*p - 26 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 3*j**4 - 490*j**2 + 490*j**2 - 2*j**3 + 3*j to the form x + a*j**4 + k*j + p*j**2 + u*j**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 18016566?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4 - -9. Solve u - 4 = -h for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x + 22 = 2*l, -5*l = -2*x - 10*l - 9. Suppose z = -5*g + x*g + 25, 5*z = g + 97. Let f = -15 + z. Solve f*v + 19 = 2*s - s, 2*v + 2*s + 12 = 0 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -8, -1, 8, 5, 2, -21212 in ascending order.\nAnswer: -21212, -8, -1, 2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 10:11 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = -91300*b + 639094. Give u(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 0, -59, -118, -177, -236?\nAnswer: -295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 128*h + 159*h + 128*h - 370*h - 2 + 29*h**2 to the form d*h**2 + b + p*h and give p.\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28321257?\nAnswer: 3, 23, 410453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -57*p + 114. Let u be v(2). Solve b = -2*l - 0*b, 3*l + 3*b + 6 = u for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 39 divide 1921936785?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 130 and 1014?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f - 57 = -3*o, 4*o = f + 31 + 33. What is the least common multiple of 365 and o?\nAnswer: 1095","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -38798*g + 155201. Calculate i(4).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of f*i**2*t + 167*f*i - 4*f*t + i**2*t - 13*i**2 - 214*t - 1 wrt f?\nAnswer: i**2*t + 167*i - 4*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - 1. Let s = 9 + g. Determine l, given that 47*l**3 + 2*l**2 + 10*l**2 - 21*l**5 + l**3 + s*l**4 = 0.\nAnswer: -1, -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 365 + -360. Let v(t) = -3*t - 11*t**2 + 16*t**2 - 2 + d*t + 4. Let h(k) = -36*k**2 - 15*k - 15. Calculate 4*h(b) + 30*v(b).\nAnswer: 6*b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3567235 is divided by 1551.\nAnswer: 1486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by (16 + -3 - -1) + -4.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*n - 107*n**3 - 6*n + 127*n**3.\nAnswer: 20*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u*u**0)*u*u)**(-4)\/((u\/(u\/(u**(-9)*u)))\/((u**(-1\/4)\/u)\/u)) assuming u is positive.\nAnswer: u**(-9\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 9160\/(-18480) + 5\/6 + (-3)\/(-33). Let p = -3 + 3.2. Let c be ((-5)\/(-3))\/((-2)\/6). What is the biggest value in c, p, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3020 + -1660. Does 45 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -b (base 13) to base 2\nAnswer: -1011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*i**2 + 39*i**2 - 23*i**2.\nAnswer: i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 81 + 49?\nAnswer: ca","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1000350 a multiple of 225?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = -t**3 + 9*t**2 - 4*t - 14. Let x be p(8). Suppose 3*q - 5*q - x = -g, 0 = -2*q - 8. Solve g*b = 9*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*d**3*k*z**2 + 52*d**3*z**2 - 2*d*z**2 - 50*k*z**2 + 1 wrt k.\nAnswer: 3*d**3*z**2 - 50*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -2*t - 2. What is x(-5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the third derivative of m**6\/120 - m**5\/15 + m**4\/24 - m**3\/6 + 3*m**2 - 2. What is a(3)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*g - 3*g = 20. Solve -g = 3*k + 8 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 1\/(((-2)\/(-15))\/(104\/4)). Let p = j + 782. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = s**2 - 11746*s + 2783968. Calculate u(242).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q**34)**(-33)*q**(3\/20)*q*q**2*q)**(-16\/11) assuming q is positive.\nAnswer: q**(89428\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -y**3 - 12*y**2 - 405*y - 3. Let w(i) = -i**3 - 16*i**2 - 406*i - 4. Calculate 4*b(u) - 3*w(u).\nAnswer: -u**3 - 402*u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1933*k - 1912*k = 153930. What is the thousands digit of k?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6482 and 3443794?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d = 8, -672799 + 672772 = -43*u - 4*d for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 25 - 25.3. Is -6 not equal to l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*v + 84 + 36. Is 2864\/10 + (-24)\/v a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(720) + 0)**2 - 2*(sqrt(5) + 2 + sqrt(5)).\nAnswer: -4*sqrt(5) + 716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 62 a factor of 12143862?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 214 is divided by 107.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = 4*q - 8. Let b(h) = 3*h - 8. Let j(w) = -5*b(w) + 4*y(w). Let l be j(-6). Solve -l*p = -p for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g**2. Let v(u) = 10*u - 7. Let d(a) = 7*a - 5. Let t(h) = 7*d(h) - 5*v(h). Calculate r(t(x)).\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine m so that -3*m**5 + 6*m**4 + 9*m**3 = 0.\nAnswer: -1, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y(w) = -8*w**2 + w - 1. Let j = 10 - 5. Let n = 43 + -39. Suppose h + n = j. Give y(h).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -69 + 86. Let d be 2\/4*-2 - -103. What is the greatest common factor of q and d?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i = 4*t - 15 - 5, 3*t = -4*i + 17. Which is the closest to 2\/7? (a) 1.9 (b) t (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-600)\/(-9)*102\/8. Let m(r) = 5*r + 158. Let i be m(-29). Suppose -n = -i*v + 1074. What are the prime factors of v?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o = -3*o. Suppose o = -3*g + 4*k - 20, 0*g + 22 = -5*g + k. Let s(n) = -n**3 + 2*n**2 + 4*n + 9. Is s(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10074807, -20149616, -30224425, -40299234, -50374043, -60448852?\nAnswer: -70523661","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 168849.9m in micrometers?\nAnswer: 168849900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.38975 to two dps.\nAnswer: 0.39","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, g: 18}. What is prob of picking 3 n?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the second derivative of -1\/6*x**3 - x**2 + 0 + 3*x. What is c(-4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -4 - -3. Suppose -2*d - 4 = -8. Suppose -7 = -2*g - 1. Put k, d, g in increasing order.\nAnswer: k, d, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 - 5*d + 2. Let v be (-38)\/(-8) - 6\/8. Let p be u(v). Which is greater: p or -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 11*i**3 - 5*i**2 - 2*i. Let k be (0 - (-7 + 2))\/(-1). Let v be b(k). What is v rounded to the nearest one hundred?\nAnswer: -1500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -14*u. Let d(v) be the second derivative of 7*v**3\/6 - 33*v. Determine a(d(p)).\nAnswer: -98*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = 1. Let a(n) = -2*n + 2. Let v(z) = -a(z) - 4*g(z). Let f be 15\/(-2)*(-2)\/(-6)*-4. Suppose -6 = -11*d + f*d. What is v(d)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 154584?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 329*p**2 + 6*p + 46. Let i(b) = -158*b**2 - 3*b - 24. Give 12*f(m) + 25*i(m).\nAnswer: -2*m**2 - 3*m - 48","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.001337484 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.7507273l in millilitres?\nAnswer: 750.7273","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) be the first derivative of -31*z**5\/30 + 23*z**3\/6 + 21*z**2 + 30. Let c(g) be the second derivative of u(g). Differentiate c(y) with respect to y.\nAnswer: -124*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1659802?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -2*z**2 + 7*z - 8. Suppose -8 = -d - d. Let c be f(d). Let x = 16 + c. Solve -x*i + 5 - 1 = 0, -3*a = -3*i for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3931?\nAnswer: 3931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*-2*sqrt(198) - sqrt(198))\/(sqrt(396) - (-1*sqrt(396) - sqrt(396))))\/(sqrt(99)\/(3*-4*sqrt(11))*3).\nAnswer: 10*sqrt(2)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*v + 5*h + 196 = -2*v + 16*h, -7*v + 9*v + 208 = 5*h for v.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, -2, 3, 410, -4, -18.\nAnswer: -18, -4, -2, 1, 3, 410","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:10 AM and 9:05 PM?\nAnswer: 715","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v + 6 = -2*l - 1, 0 = 3*l + v - 15. Let d be (l + 3 - 3) + 45. Let p = d - -33. What is the smallest common multiple of p and 6?\nAnswer: 246","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 755 - 679. Let y = w + 751. What is y rounded to the nearest one hundred?\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(j) = j**3 + 1. Let x(i) = -9*i**3 - i - 2. Determine -2*d(l) - x(l).\nAnswer: 7*l**3 + l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3.04 in 1, 13, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19287 = 86*n + 6387. Calculate the highest common divisor of 60 and n.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -10. Let v be 35 + (-3 - (0 - i)). Suppose 3*m - v = m. What are the prime factors of m?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20101 divided by -1?\nAnswer: -20101","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 41*o**2 + o + 2. Let v(y) = -2*y**2 + 12*y - 1. Let t be v(6). Let z be n(t). What is the highest common divisor of 336 and z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 6.2, 2, 3, 1\/10, 8?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4 + 6.7. Let j = -2.6999941 + s. Round j to six dps.\nAnswer: 0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = -4*z + 22*z**2 - 3 - 29*z**2 + 13*z**2 + z**3 - 1. Let t be 3\/(-9)*-3*-6. Let c be w(t). What is the highest common factor of 5 and c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = t**2 + t - 1 - 2 + 11. Suppose 5*g - 3*v = 87, -4*g - 2*v = -16 - 36. Suppose -4*l - 9 = -3*x - 0, 3*l = -5*x + g. What is z(l)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4349151?\nAnswer: 3, 483239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 91\/(-52) + (-5809)\/628?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, q: 4, d: 5, u: 1, g: 1}. Give prob of picking 1 g, 1 d, and 1 u.\nAnswer: 1\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + -1*((sqrt(5) + -1 + sqrt(5) - sqrt(5)) + -1)**2*6.\nAnswer: -58 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 103156615 a multiple of 205?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1105)\/255)\/(117\/(-243)).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 + (5 - -7) - 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 10 - 10 - (52\/(-53) + 1). Which is the closest to -0.1? (a) -2\/3 (b) 2\/5 (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -510*x + 511*x - 2*p = 19, -5*x = -5*p - 60 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 + 7 + -53 + -11 + -18?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4910 is divided by 307.\nAnswer: 305","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - 5 - -3) + -3 + 1?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2295 - 2295. Solve 0 = -2*m + g, v*m - g = -5*m - 3 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -28 + 27. Let b(c) = -c**3 + c - 1. Let v(x) = -4*x**3 + 2*x - 2. Give d*v(i) + 2*b(i).\nAnswer: 2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 18929 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = r**3 - 6*r**2 - 5*r + 4. Let n be t(7). What is the common denominator of 101\/10 and 3\/(n\/139) + -3?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -3907309\/60 + 65119. What is the common denominator of (-321)\/(-1440)*6 + (-3)\/4 and f?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = h + 3. Let f be p(-2). Let k = 0 + f. What are the prime factors of k*2\/(-6)*-15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2010012 (base 3) to base 11\nAnswer: 1184","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*z**2 - 60*z + 60*z.\nAnswer: -6*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + sqrt(70)\/(sqrt(160)*4) + 3 + ((1 + sqrt(252))**2 - 4*(0 + sqrt(7) + sqrt(7)))*1.\nAnswer: 65*sqrt(7)\/16 + 251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = -5*h**2 - 80*h. Let x(y) = 7803*y + 2. What is x(r(l))?\nAnswer: -39015*l**2 - 624240*l + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1268716*j**2 + 276951*j - 3?\nAnswer: 2537432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 7\/(-49) + (-5)\/35. Let n = 0 + 0. What is the nearest to k in -0.3, n, 0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 3*x - 27. Let m be (-7 - -2)\/(-5)*x. Let f = -1 - -4. Solve -7*s = -f*s + m for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4 + 0 = 0. Let g = -115.624 - -116. Let m = -0.024 - g. What is the closest to v in m, 3\/2, 2\/5?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 75 - 54. What is the lowest common multiple of o and 30?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7\/((-140)\/16)*(0 - 60)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 0 + 1)*(0*l - l + 3*l) + (1 + 0 + 2)*(-3*l + l + l).\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = 2*p**3 - 8*p**2 + 33*p - 147. Let j be t(6). Calculate the highest common factor of 20 and j.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in sixty-one halves of a milligram?\nAnswer: 30500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 11.6 + -15.6. Which is the biggest value? (a) -0.1 (b) h (c) 15\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c - 10 = -4*c. Let v(n) = 4*n**2 + n + 1. Let u be v(-1). Solve -u*a + 3*a + 9 = 2*m, 4*a - 12 = -c*m for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.4 - -3.6. Let h = -2.3 - -0.3. Which is the third biggest value? (a) 1\/9 (b) h (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 499652961 + -2.95.\nAnswer: 499652958.05","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 740953 = -283*m + 3934891. Is m a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -43*t + 56*t + 257*t + 46*t.\nAnswer: 316*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -523700 > -523701?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 3\/4)*68. Let k = 352\/3 - n. Let p = 19\/17 + -21\/34. Which is the biggest value? (a) k (b) p (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -d - 4*l + 2291794 - 2291802, 4*d - 5*l - 31 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 313544 to the nearest integer?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1.1 + 2.3. Let m = c + -1. Let j be ((-18)\/(-297))\/((-4)\/(-48)*4). What is the biggest value in 4, m, j?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4642 to the power of 1\/3, to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u + 16 = 9*u. What is the smallest value in u, -2\/7, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*sqrt(7)*4 - (sqrt(147)\/sqrt(3))\/sqrt(7)) + (4*sqrt(63)\/sqrt(9))**2 + 5 + sqrt(7) + (sqrt(63)\/sqrt(9) - sqrt(7)).\nAnswer: -16*sqrt(7) + 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 - 8 - 13 + 31 + 5*j**2.\nAnswer: 5*j**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert 95198.95kg to tonnes.\nAnswer: 95.19895","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1249.385 micrograms to kilograms.\nAnswer: 0.000001249385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 18 + -22 - (-2 - -6) - ((-13 - 17) + 12).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kfhk when four letters picked without replacement from {h: 3, f: 7, k: 6}.\nAnswer: 3\/208","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 9 = 2*z - 4*v, -2*z + 2*v + 6 = 0. Suppose 0 = -2*q + z*p + 2, 3*q + 10 = -5*p + 51. Is q a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 106889720?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 58c - -7?\nAnswer: 594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 25 = 6*q. Suppose -u + 42 = -q*o, -u - 4*o + 42 = -0*o. Suppose -3*k + u = -3. List the prime factors of k.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 - -9. Suppose 2*x - 11 = -k. What is the units digit of x?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 26*i**3 - i. Let a be p(1). Let x = a + -34. What is the tens digit of 3*59*(-6 - 57\/x)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3 (base 10) to base 7.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 40, 3, 0, -9 in increasing order.\nAnswer: -9, 0, 1, 3, 40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 214 a factor of 47936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 8\/6 - (-15079)\/(-3) - -1. What is the hundreds digit of v\/(-24) + (-6)\/(-9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 73969129.\nAnswer: 13, 5689933","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3\/8? (a) -5 (b) 3\/4 (c) 1\/3 (d) -462 (e) -1\/6 (f) 2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(o) = o + 24. Let x(n) = 2. Let y(v) = -2*r(v) + 22*x(v). Let w be y(-5). What is the units digit of (2\/w)\/((-5)\/(-45))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.366171 - 0.22\nAnswer: -0.586171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 13*w**3 + 2*w**2 - w. Suppose -4*s - u = 58 - 217, -2*u - 122 = -3*s. Calculate the remainder when s is divided by q(1).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 79 = -23*i + 18*i, 5*g = 5*i - 25. Let d(w) = -39*w + 4. Let o be d(-3). What is the greatest common divisor of i and o?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by 190.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 10? (a) -21 (b) 1\/8 (c) -0.04\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 417721 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 2*t - 13. Let s be u(10). Suppose 63 = 8*z - s*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: Suppose -56 - 57 = -5*k + 4*v, -3*v = -2*k + 48. Let y be 0*((-7)\/k + 2\/(-3)). Solve -2*p + 3 + 3 = y for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 3 + 0)*(-8 + 1 + 2) - 2 + 1 - 1)*(0*v + v + 2*v) to s + y*v and give y.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3*q**4 + 137076*q**3 + 2*q**2 + 737315*q + 2.\nAnswer: 36*q**2 + 822456*q + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 2*n. Let j(w) = w - 5 + 3 + 7. Let g be j(0). Let v be t(g). Solve s + s = -v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 79433365.\nAnswer: 5, 11, 157, 9199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d - 3*d = 2. Suppose 40 = 2*w - 4. Suppose -f = 2*k + d*f - w, f = -k + 9. Solve 0 = 4*b - 2*q + k*q + 13, -7 = -5*b + 4*q for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 236678045 to the nearest integer?\nAnswer: 619","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 2 c when three letters picked without replacement from {b: 1, c: 2, g: 2, s: 7, d: 4}?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(z) = 723*z**2 - 1031*z - 17. Let u(q) = 175*q**2 - 258*q - 4. Let k(h) = -2*o(h) + 9*u(h). Find the second derivative of k(g) wrt g.\nAnswer: 258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) -3163\/33 (b) -1 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 25 + (-30 - 2 - -15).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/(-10))\/(72\/90).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:20 AM and 1:22 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 10482 at most 10478?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 n and 1 a when three letters picked without replacement from babnajjbabbjjjbnn.\nAnswer: 9\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 258750871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*f**3 + 2*f**3 + 1 - 3)*(9*f - 24*f + 7*f).\nAnswer: 24*f**4 + 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -302 + 315.975. Let l = -14 + z. Round l to 2 dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = 3*n + 1734, -i - 129*n + 134*n + 442 = 0. Calculate the greatest common factor of 304 and i.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 625 + 5*k - 95 + 1478.\nAnswer: 5*k + 2008","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 13 + -5ac?\nAnswer: -599","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -151 in -0.1, -11, 2?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes after 8:05 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5007 - 4848. What is the remainder when 2857 is divided by t?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -4*u + 1. Let o be a(-5). Let c be 4\/14 - ((-15)\/o + -3). Let m = 27 + -16. Solve c + m = -5*t for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -235, 24\/245, -13?\nAnswer: 24\/245","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 45142.3 tonnes to grams.\nAnswer: 45142300000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nuia when four letters picked without replacement from rrairiaanuriirrin?\nAnswer: 1\/1904","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*k + 3*c + 29 = 6*c, 3*c - 17 = -2*k. Solve -4*q**2 + 4*q - k*q**2 + 12*q**2 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together -178.9 and -0.5.\nAnswer: -179.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add 11437706854 and -0.18.\nAnswer: 11437706853.82","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*f**3\/15 - 116842*f**2\/15 - 311792*f.\nAnswer: 2*f*(f - 58461)*(f + 40)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/6 + (-30)\/198. Let o = -11 - -12. Which is the fourth smallest value? (a) s (b) 0.5 (c) 2 (d) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -35590.54355 and 20.\nAnswer: -35570.54355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03983 rounded to 3 decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 5.45 - 0.45. Let p = i + -5.5. Which is the nearest to 1? (a) 1\/4 (b) -3 (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 3\/50 of a microsecond?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*(sqrt(95) + sqrt(95)*2) + (sqrt(95) + sqrt(95)*-2)*4)\/((sqrt(500)*2 + sqrt(500) + sqrt(500) - sqrt(500))*-5))**2.\nAnswer: 19\/225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/7 + 2\/(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Do -23\/662 and -1 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*w + 423*w + 1282 - 191*w.\nAnswer: 59*w + 1282","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -620289*t**4 - 65221512354*t**3 + 1590768840*t**2 - 38799242*t\/3 + 35049.\nAnswer: -(t + 105147)*(123*t - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = 5*s**2 + 8*s + 5. Let a be n(-2). What is the greatest common factor of 27 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 19962 and 16.\nAnswer: 159696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 243530664?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*k + 17570 + 11143 = -706*k + 7050 for k.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*f**4 - 3*f**4 + 2*f**4 + (2 + 12 - 6 - 2*f)*(0*f**3 + 2*f**3 - 3*f**3) in the form y*f**2 + s + o*f**4 + d*f + g*f**3 and give o.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15722*t - 15721*t - 16 = -4*g, -21 = 4*t - g for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**2 + 30*v - 5. Let d be p(15). Put -3, d, 13 in ascending order.\nAnswer: d, -3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11768 (base 10) in base 2?\nAnswer: -10110111111000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 286*r**3 - 89*r**3 - 89*r**3 - 91*r**3.\nAnswer: 17*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -12922444 less than 3?\nAnswer: 12922447","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:50 AM and 7:31 AM?\nAnswer: 341","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5003 - -5015) + 14 + 1 + -1.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of -413*v**4\/2 - 20*v**3 - v**2 + 2*v + 872. Find the second derivative of d(p) wrt p.\nAnswer: -4956","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 b, 1 q, and 1 a when three letters picked without replacement from ymmeqbbaqqm?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 1:25 AM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 3*d**2 - 268*d + 3860. What is r(64)?\nAnswer: -1004","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(-3))\/(134\/(-201))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = -0*v + 5*v. Suppose h - v*o + 45 = 4*h, h - 25 = -3*o. Calculate the greatest common factor of h and 110.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 0 - 3\/5*x**4 - 27*x**2 + 810*x - 72\/5*x**3 = 0. Calculate x.\nAnswer: -15, 0, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.240035 rounded to 2 dps?\nAnswer: 0.24","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 94542 - 586542. Round u to the nearest 100000.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (8\/(-16))\/((-5)\/4). What is the nearest to -2 in -1, 1\/4, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -13613*d**2. Let w(h) = 3767*h. What is w(k(u))?\nAnswer: -51280171*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 6705, 13419, 20131, 26841?\n\"Answer: -j**2 + 6717*j - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -17677168 rounded to the nearest ten thousand?\nAnswer: -17680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -10? (a) 249 (b) 1\/17 (c) -6 (d) -2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*u = -30*u + 990. Is 11 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 6604900 a multiple of 1285?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = -5*y - 6*y + 8*y. Let i(c) = 8*c**2. Give s(i(p)).\nAnswer: -24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-986)\/145)\/(-34))\/((-7)\/49)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16640*o**2 - 3*o + 3*o - 12756*o**2.\nAnswer: -29396*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 129251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 582 + -578. Suppose 0 = 8*a - 5*a + 5*t - 2437, i*t = -16. Is a a multiple of 80?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26 a factor of 267184?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -48*b + 285. Calculate h(10).\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (338 + 2)*(2 - (-58)\/5).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 2 e when three letters picked without replacement from hhehexeeeexexxhxxxhx.\nAnswer: 14\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*h = 36561 + 8671. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -45623906, -91247808, -136871708, -182495606?\n\"Answer: g**2 - 45623905*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 0.2 - -0.2. Let k(s) = 2*s + 13. Let w be k(-8). Which is smaller: y or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b**(1\/3)\/b)\/b)\/b)**(33\/7)\/(b\/b**0)**(2\/43)*b**(2\/13)*b\/(b*(b**(3\/2)*b*b)\/b)*(b*b\/(b**(-3\/4)\/b*b))\/(b\/(b**(-7)*b)) assuming b is positive.\nAnswer: b**(-300739\/15652)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 + (-5 - (16 + -37 + 14))?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -118756*f + 118911*f - 2744 = 2836 for f.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6175\/4 - -1530. Let w = 27\/2 + k. Let r be ((-1)\/(-1))\/(0 + 1). Is r < w?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.28 and -0.0763.\nAnswer: -0.021364","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(z) be the first derivative of -123*z**7\/7 + 24*z**3 + 11. What is the third derivative of a(s) wrt s?\nAnswer: -14760*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 302\/61 or 5?\nAnswer: 302\/61","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 7274707, 7274696, 7274685?\n\"Answer: -11*i + 7274718","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -y**2 - 10*y + 1. Let z be m(-10). Solve -4*c + 7 = -z for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 11102 - 9443. Is 79 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -t + 0*t + 2*t**2 - 2 - t**3 + 2*t**3.\nAnswer: (t - 1)*(t + 1)*(t + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4*g**2 + 0 + (-4 - g + 4)*(3*g - g - g) - 60*g + 61*g - 27*g**2 - 43*g**2.\nAnswer: -67*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2637 divided by -13206?\nAnswer: -879\/4402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149*y - 3*x = -145*y - 135, 5*y - 186 = 2*x. Solve -y = -91*u + 82*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 166816 and 20817?\nAnswer: 145999","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (27\/648*-8)\/((-28)\/(-420)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -3*w + w**3 - 20 - 15*w**2 + 19*w + 0*w**3. Let r(v) = 2*v**2 + 188*v + 734. Let l be r(-4). Let n be u(l). Solve -4 = -3*o + n for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 82899.7 weeks to seconds.\nAnswer: 50137738560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 301004855?\nAnswer: 5, 71, 847901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = -6*r - 14. Let q(w) = w**3 - 9*w**2 - 4*w + 69. Let d be q(6). Let j be 3\/(8 - d\/(-9)). Let a(n) = -2*n - 5. Determine j*k(i) - 8*a(i).\nAnswer: -2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -185*b + 49164 = -168*b. List the prime factors of b.\nAnswer: 2, 3, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) be the first derivative of 4*l - 1\/2*l**2 - 4. Determine u(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes after 9:39 AM?\nAnswer: 2:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 6*w**2 + 5*w + 2. Let h be t(-4). Let j(y) = 51*y - 455. What is the lowest common multiple of (-2)\/7 - (-88)\/h and j(9)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11 - 10518*j**3 + 10515*j**3 + 11.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = 2*p**2 - p - 2. Determine d(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 2*d**3 + 2 + 5.\nAnswer: 2*d**3 - 18","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 2321301 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r - 5*s = 38, 174*r = 176*r + 3*s + 22 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**3 + 11*t**2 + 7*t + 15. Suppose 4*r + 22 = 2*r - 2*p, -4*r - 3*p - 43 = 0. Is 15 a factor of c(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.6 + 71.1. Let o = s + -53. Which is the closest to -2\/5? (a) o (b) 4 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {a: 1, j: 1, d: 2, t: 3}. Give prob of sequence djat.\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence vi when two letters picked without replacement from evtveeei.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 86 + -428\/5. Suppose 3*v - 5 + 29 = -3*g, -3*g + 16 = -v. Do v and q have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -17*x**3 + 4*x**2 + 4*x + 3. Calculate l(-2).\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 98 divided by 1029905?\nAnswer: 98\/1029905","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15 = 4*v - v + 2*n, v + 3*n = 5. Suppose -p + v = -4. What is the greatest common divisor of 81 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -131*z**4\/3 - 6155*z**3\/3 + 11210*z**2 - 27760*z\/3 + 416\/3 = 0. Calculate z.\nAnswer: -52, 2\/131, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -3 - -5. Let o(p) = p**2 + p - 6. Let t be o(-5). Let h = -10 + t. Which is the closest to 1\/3? (a) -3 (b) h (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 734284 to the power of 1\/2, to the nearest integer?\nAnswer: 857","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4 - (-16 - (-5 - ((-7 - 10) + -3))).\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -42*a + 48*a - 34*a - 280 for a.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 + 20. Let p = -32 - -46. What is the greatest common factor of y and p?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 13428 is divided by 2178.\nAnswer: 360","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000007723851 rounded to 6 dps?\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 3\/2, -4, -2, -0.1 in decreasing order.\nAnswer: 3\/2, -0.1, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the first derivative of -2*q**3 - 15*q**2\/2 + 5*q - 1697. Let i(d) = 5*d**2 + 15*d - 4. What is -3*h(s) - 4*i(s)?\nAnswer: -2*s**2 - 15*s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 25*y**2 - 12*y - 11. Suppose -2*j = -u + 1 + 1, 0 = 5*j - 10. What are the prime factors of p(u)?\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (44\/(-8))\/(-11*(-22)\/88)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-117)\/(-5) + ((-6)\/(-10) - 1) is divided by (-4)\/((-32)\/(-6))*-16?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -7344, -7386, -7456, -7554, -7680, -7834, -8016?\n\"Answer: -14*a**2 - 7330","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 9 - 9. Suppose -5*q - 5 + 15 = v. Solve s - 3*x = -13, s - x = -q*x + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9 - 1547*p**2 + 163*p**2 - 62 + 53 as r*p**2 + w*p + m and give r.\nAnswer: -1384","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 542076833 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-101663)\/42 + 6\/(-21). Suppose -5*z + 2*p + 5138 + 7052 = 0, 7303 = 3*z + p. Let i = z + g. Find the common denominator of i and -48\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 426 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -31 + 34. What is the derivative of -43 - 10*c**4 + 2*c**4 - 15*c**4 + 32 - c**j wrt c?\nAnswer: -92*c**3 - 3*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -81 - -79. Let q be (n + -5)*(-350)\/49. Suppose -4*d = -30 - q. Is 15 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -24, -48, -72?\n\"Answer: -24*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -34*b**2 - 5 - b + 62*b**2 + 24 with respect to b.\nAnswer: 56*b - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*n + 2 + 0 - 3*n)*(127*n - 127*n - 12*n**2) - 2*n**3 - n**3 + 4*n**3.\nAnswer: 13*n**3 - 24*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2 + 2 + 2*h + 9*h. Let n(o) = -4*o. Suppose 42*z - 255 = 27*z. Give z*n(s) + 6*a(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -c98 (base 14) to base 3.\nAnswer: -10102002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -u**3 - u**2 + 13*u - 15. What is the remainder when g(-5) is divided by 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (260*k**2 + 1 + 320*k**2 - 533*k**2 - 6*k)*(3*k**2 - 5*k**2 + 3*k**2) in the form b*k**4 + o*k**2 + h + x*k + p*k**3 and give b.\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 0*m - 5*x + 21 = 0, -x + 3 = 0. Suppose -3*i + 195 = 4*s, 3*s + i = s + 97. Let n = -30 + s. Calculate the highest common divisor of n and m.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(4*sqrt(96)\/sqrt(4))\/(sqrt(32)\/sqrt(4)*-1).\nAnswer: -8*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in -2\/25, -4, 4\/7?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) = -j**3 - 4*j**2 - 3*j + 4. Let x(y) = -y**3 - 5*y**2 - 3*y + 5. Determine 5*m(n) - 4*x(n).\nAnswer: -n**3 - 3*n","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put -206, 33, -5, -3, 487 in increasing order.\nAnswer: -206, -5, -3, 33, 487","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-1\/2)*r**(-5\/3)\/r*r)\/(r**1\/r)**17 assuming r is positive.\nAnswer: r**(-13\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-8)\/(-15))\/(-4))\/((-18)\/27).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*h - 3 = -4*v, 2*v - 3*h = v - 6 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 596*c**3*v**3 - c**2*v**3 + 5*c**2*v - 1135*c*v**3 + 3*c*v wrt c?\nAnswer: 3576*c*v**3 - 2*v**3 + 10*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 45b + 11a?\nAnswer: 579","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 347887 > 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -4275 - -4274. Suppose 3*f - f = 0. Let k be 2 - -4 - (1 + f). Sort 1, s, 3, k in ascending order.\nAnswer: s, 1, 3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/6, -65\/19, -1\/5 in decreasing order.\nAnswer: -1\/6, -1\/5, -65\/19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-74 - (-109 - -112))\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1905064299.\nAnswer: 3, 4483, 15739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = 166*u**3 - u**2 - u + 1. Calculate o(1).\nAnswer: 165","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1630, 5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 3*n + 0*n)*(3 - 12 - 10).\nAnswer: -38*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -6130665 (base 10) in base 2?\nAnswer: -10111011000101111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -87*s**2 - 1583*s - 6459. Calculate l(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -0.307 - 0.12\nAnswer: -0.427","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 8160183, 8160185, 8160187, 8160189?\n\"Answer: 2*j + 8160181","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*a**2 - 865*a**2 - 2*a + 74*a**2.\nAnswer: -713*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 f, 1 k, and 1 n when four letters picked without replacement from {k: 1, s: 1, u: 2, d: 1, n: 1, f: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/(-78)*104\/78. Let x(y) be the first derivative of -6 + 2\/13*y**2 - 2\/13*y - r*y**3. Suppose x(w) = 0. What is w?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 313 divide 466683?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of z**7\/84 + 13*z**6\/60 + 29*z**5\/20 + 11*z**4\/3 - 8*z**3\/3 - 32*z**2 + 113*z - 5. Find m, given that p(m) = 0.\nAnswer: -4, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -783516203, -1567032405, -2350548607, -3134064809, -3917581011?\n\"Answer: -783516202*w - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 20754254513 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 130*n**3 - 154*n**3 + 11*n**3.\nAnswer: -13*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 683 or 486249\/712?\nAnswer: 486249\/712","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1000110101100110000 (base 2) to base 10.\nAnswer: -289584","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 54252 by -27126.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c + 6*c - 24. Suppose 3*a - c*p = p + 130, 3*a + 5*p = 94. What is the tens digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 309950 a multiple of 122?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 18 + -16. Suppose r = 6*r + 4*a - 114, z*r - 5*a = 39. Let b = 111 + -47. What is the remainder when b is divided by r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 - 5. What is the tens digit of m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (5*(-10)\/4)\/(-28 + (-1320)\/(-48)). Solve 0 = -r - 5*z - b, -10*z - 10 = 5*r - 8*z for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3*y - y + 0*y)*(2 - 4 + 0) - 1 + 1 - 3*y)*(-4*y**2 + 3*y**2 - y**2).\nAnswer: -10*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 2\/(-4) - 324\/(-40). Let q be 0 + -2 + 171\/35*-1. Let k = q + h. Calculate the common denominator of k and -109\/6.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -23 - (-29 - (-16 - -36))\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-249*j + 388*j + 1 - 278*j)*(j**2 - 2*j**2 + 3*j**2) to the form k*j**2 + h + q*j + v*j**3 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:04 PM and 1:33 AM?\nAnswer: 149","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -4.06 - 0.14. Let r = n + 4. Let u = 0 - r. Which is the biggest value? (a) -4 (b) -5\/2 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = -t**2 + 6*t - 6. Let b = -6 + 10. Suppose -5*l - b*a = -38, -14 - 14 = -5*l + a. Let h be f(l). Is h > -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1239 and 146556?\nAnswer: 177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w*w*w**16*w*(w**(4\/11)*w)\/w)\/(w*w**(-20)*w**(-2\/77)) assuming w is positive.\nAnswer: w**(2956\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -177 + 176. Let c be 7\/((-966)\/(-543)) - 5 - u. Is 1 != c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*l**2 + 7*l**2 - l**2)*(-58*l + 131 - 131).\nAnswer: -58*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 231*m**5 - 117996*m**3 + 57049210*m**2.\nAnswer: 13860*m**2 - 707976","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 12:37 AM?\nAnswer: 12:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*h**3 + 215*h + 41*h**3 + 96*h - 80*h**3.\nAnswer: -h**3 + 311*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-a + 4*a - a)*(-a + 5*a - 2*a) - 3*a**2 + 4*a**2 - 1 - 3)*(2 - 4 + 1).\nAnswer: -5*a**2 + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -16 + 46 - 13 - 29 + 31*w - 13 - 23*w.\nAnswer: 8*w - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5*t - 4*t + 4*t)*(-2*t + 2*t + t**3) + 5*t**4 - 2*t**4 - t**4.\nAnswer: 7*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 2848\/(-267) + (-10)\/(-6)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-25 + 13 + 4)*(4*y - 4*y - y)*(1 - 1 - 1) to the form k*y + d and give k.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 11 + -15 + 10 - -21.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -11*n**2 - 16*n**6 + 262*n**2 - 21*n**6 - 10*n**6 wrt n?\nAnswer: -5640*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -10*w + 169. Let o(r) = -2*r + 34. Calculate -2*l(c) + 11*o(c).\nAnswer: -2*c + 36","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = -5*o + 4 + 6, o - 4*h - 2 = 0. Let w be ((11 + 1)\/3)\/o. Suppose -6 = 2*f, -3*d - w*f - 22 = -1. Put d, 1, -3\/4 in increasing order.\nAnswer: d, -3\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in -2\/3, -3, 19?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3.4 + 2.9. Let t = 2.5 - 0.5. Sort -3\/8, s, t in descending order.\nAnswer: t, -3\/8, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -186*y + 656*y - 15368 = 244*y for y.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x and 3 z when four letters picked without replacement from zzzvvzxzzvzzv?\nAnswer: 56\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 353479901?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-2)\/16 - 5\/(-40). Suppose 5*p - 4*f = -z*f + 15, -6 = -2*p - 4*f. Solve 2*a - 9 = -1, 4*a = p*o + 1 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-seven halves of a minute in seconds?\nAnswer: 810","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - 8 - (-5 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 123*m**3 + 376*m**3 + 1122*m**3.\nAnswer: 1621*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 9 - -3. List the prime factors of 44*(0 + 3\/h).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7601 - -20542?\nAnswer: 30343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 4 + 134. Let a = -180 + 639. Suppose 0 = -4*y - 4*p + 172, -177 + a = 6*y - 2*p. What is the highest common divisor of r and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the second derivative of -7\/3*o**3 + 2*o**2 - o - 32. Let x(t) = -t**2. Give x(l(s)).\nAnswer: -196*s**2 + 112*s - 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 1 - -1 - 6 - -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = 3*x**2 - 10*x - 203. Give k(-7).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 10*j - 860. Is 39 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) = 4*q**2. Let p(a) = -5 + 7*a**2 + 5. Determine p(t(w)).\nAnswer: 112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a + 1 - 3 = s, 0 = 2*s + 4. Let z be 6\/(3 - a) - 2. Suppose -3*q + 6 = 4*j - z, 0 = 3*j + 4*q - 1. Solve y - 2*y = -j for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(22)\/(sqrt(10)\/(sqrt(5)*-2) - sqrt(2)) + -3 + sqrt(176) + 3)**2.\nAnswer: 1100\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = 8*b**3 + 26*b**2 - 7*b - 2. Let s(t) = 24*t**3 + 77*t**2 - 20*t - 5. Let d(c) = 3*s(c) - 8*w(c). Let k be d(19). Round k to the nearest one thousand.\nAnswer: 63000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, 0.5, -3245?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g = 5*a + 35, -6 = 5*g - 2*a + 1. Let y = -3 - g. Is y greater than or equal to 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q and 3 c when four letters picked without replacement from xjjddcjcdjdxqqcjqxjq?\nAnswer: 4\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -11101011010 - -1?\nAnswer: -11101011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2751.9 (b) -91 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 174538 and 49868.\nAnswer: 349076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4\/39, 330.8, -1, 0.04, -3\/2 in descending order.\nAnswer: 330.8, 4\/39, 0.04, -1, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: (7*9\/27)\/(2\/3)\nAnswer: 7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*m + 5*l - 155, 10*m - 8*m - 158 = -2*l. Are m and 80 unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/5 of a meter?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 18*q - 1. Suppose 3*k = 5*b - 17, 5*k + 17 = b - 4. What is the remainder when 101 is divided by o(b)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 97 - 189\/2. Let l = 691 + -690.9. What is the closest to 2 in t, l, -3?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4051552 divided by -32.\nAnswer: -126611","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2.1? (a) 3 (b) 0 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 18517.2357 - 18518. What is b rounded to 1 dp?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 3019464?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r - 663. Let x(i) = -1454*i. What is x(z(l))?\nAnswer: 1454*l + 964002","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 122 or 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -4321 >= -4325?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (6\/840)\/(1\/(-19)). Let x = s - 4\/35. Suppose 0*l - 3*l - 9 = 3*n, 0 = -4*l - 5*n - 16. Is x at least l?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) be the second derivative of -i**3\/3 + 5*i**2\/2 + 3*i. Let d(c) = -6*c + 14. Suppose 2*p + 16 - 10 = 0. Determine p*d(j) + 8*a(j).\nAnswer: 2*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2306832 and 9694080?\nAnswer: 8976","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -2*v**3 - 26*v**2 - v - 55. What is the tens digit of k(-15)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9850 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-200)\/(-500)*(-20)\/(-14)?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 0, -2\/5, 86, 1\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 454 minutes before 7:21 AM?\nAnswer: 11:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (42 + -31 - 9 - 26) + 135?\nAnswer: 111","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 16557 + -16557. Solve -41*m - 291 + 86 = l for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*o + 7*o. Suppose o*k - 5*k - 10 = 0. Let t(p) = p**2 + 3*p. Let g(u) = -6*u**2 - 14*u + 1. Let y(z) = k*g(z) - 11*t(z). Determine y(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1329\/5 + 1326\/5. Which is the biggest value? (a) n (b) 5 (c) 23 (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 4, s: 2, m: 4}. Give prob of picking 1 n and 1 m.\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -39 + 42. Suppose -4*v = 2*r - 1744, u*v - 5*r - 630 = 704. Let d be (1\/5)\/(v\/87 - 5). Do d and 7 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k + 16 + 26 = -3*g + 11*g, 0 = 3*k - 2*g + 112260 - 112281 for k.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c - 3*p = -8*c + 52, p + 54 = 5*c. Let j(y) = y. What is the tens digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 5) to base 7.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1016 is divided by 102?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.5712 and -2?\nAnswer: 1.4288","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 8*f - 9. Let i be b(7). What is the units digit of (39\/(-2))\/(i\/4)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -150, -162, -214, -324, -510, -790, -1182, -1704?\n\"Answer: -3*z**3 - 2*z**2 + 15*z - 160","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) be the first derivative of b**4\/4 + 8*b**3\/3 - b**2 - 8*b - 1. Let f be v(-8). What is the units digit of 1\/(f\/7 + -1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 111, 176, 229, 264, 275, 256, 201, 104?\nAnswer: -41","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x\/(x*x*x*x**18*x)*x)\/x**(2\/31)*(x**(8\/3))**46 assuming x is positive.\nAnswer: x**(9542\/93)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 9}. What is prob of picking 3 d?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 19462 times -0.9?\nAnswer: -17515.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Find j, given that 10*j - 47*j - 11*j - 4*j**2 + 52 = 0.\nAnswer: -13, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d = -0*d + 20. Suppose 9*b - 12*b + 13 = -s, -7 = -b + 3*s. Let a(z) = -9 - 4*z + 1 + 0*z + b. Determine a(d).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3352*u = -3225*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -3.8851 and 17931?\nAnswer: 17934.8851","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-325)\/(-455)*21)\/(2 - 2\/(-2)). Let -81\/4*h**4 - 5\/2*h**z + 79\/4*h**3 + 0 + 0*h - 9\/2*h**2 = 0. What is h?\nAnswer: -9, 0, 2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yctctttttcc. Give prob of picking 1 y and 2 c.\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*x + 4*d + 30 = 0, -3*x + 4*d = d - 45. Does 5 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (6 + 2)\/(6\/9). Let j = l + -11. What is the highest common factor of 7 and j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -48 - -52 - (0 + -1). Suppose 4*l - 22 = -6*s + 5*s, l + 26 = w*s. What is the remainder when 9 is divided by s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = 2*g**3 - 14*g**2 + 9*g - 1. Let y = 1 + 6. Let p be a(y). Suppose 3*i = -3*v + 133 + 26, 0 = i - 2*v - p. Is i a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -49, -348, -1133, -2638, -5097?\nAnswer: -8744","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 9956 less than -2316650?\nAnswer: -2326606","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 3 - 9 = 0. Let p be 1 + -1 + l\/(-18). Which is the second smallest value? (a) p (b) -1 (c) -1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m - 2 = -5*n, 2*n + 3 = 5*m - 3. What is the units digit of -2*1\/n - (-3 - -1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 485 - 465. Solve s + 0 = -4*x for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) be the third derivative of a**5\/390 - 5*a**4\/156 - 391*a**2. Factor y(s).\nAnswer: 2*s*(s - 5)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 111101100010011 (base 2) in base 10?\nAnswer: 31507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.2 - -0.2. What is the closest to x in -1, 0.3, -0.3?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 996720 and 100?\nAnswer: 4983600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4740395 is divided by 91.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 142 - 148. Let c(n) be the first derivative of -n**3\/3 - 5*n**2 + 3*n + 17. Give c(t).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h**3 - 38*h**2 + 165*h + 3726. Calculate m(19).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 28, -3, 0, 2.\nAnswer: -3, 0, 2, 28","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 120, -4, -16, -2, -13162 in increasing order.\nAnswer: -13162, -16, -4, -2, 120","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the first derivative of -h**6\/6 + 427*h**5\/5 + 9*h**2 - 10*h - 286. What is the second derivative of f(d) wrt d?\nAnswer: -20*d**3 + 5124*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) be the third derivative of -t**4\/24 + 5*t**3\/6 + 5*t**2 - 8*t. Calculate y(12).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-7)\/((-98)\/(-12)))\/((-2)\/14) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of 0 + 0*r**3 + 1\/3*r**4 - 6*r + 0*r**2. Let n(k) = 7*k**2. Calculate n(g(w)).\nAnswer: 112*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1 + 1. Suppose 5 = q + r. Suppose -42 = -q*x - d, 0 = -x + 6*x + 5*d - 60. Is 15 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -62.9939 + 63. Round y to three decimal places.\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 3, j: 7, y: 2}. What is prob of sequence jyij?\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 11671 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 1273 - -41?\nAnswer: 1324","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort -37, -118, -40, -5, -2 in decreasing order.\nAnswer: -2, -5, -37, -40, -118","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 10:50 AM?\nAnswer: 12:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1b - -39cc?\nAnswer: 39b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 5. Suppose -2*z - w - 4 = -i*z, -27 = -4*z - 3*w. Suppose 3 = v + n, n = -z*v - n + 9. Solve -2*j - 11 = v*q - 4*q, -j = 5*q - 22 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.12 or 251.41?\nAnswer: 251.41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 190*-1*(-4)\/10*235\/188.\nAnswer: 95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -1 - -120?\nAnswer: 112","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2508954 is divided by 54542?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: ((-7)\/((-119)\/17))\/((-2)\/6)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 5106887 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d = 6, -2*d = 2*k + 1 + 7. Let l(m) = 2*m**2 + 5*m + 6. Let g be l(k). Suppose 2*z = -z + g. Calculate the remainder when 67 is divided by z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(w) = -9*w**2 - 2*w + 2. Let g be (1\/(-2) - 825\/50)*-20. Let a = g + -342. Let y(p) = 154*p**2 + 35*p - 35. What is a*y(q) - 35*z(q)?\nAnswer: 7*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = -13658 + 8*b + 13655 - 3*b. Give m(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 7255, 14509, 21763?\n\"Answer: 7254*v + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -222 - -115. Let r = 107.385770348 - 0.385729948. Let h = f + r. What is h rounded to 6 dps?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in two fifteenths of a minute?\nAnswer: 8000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7101 divided by -123.\nAnswer: 2367\/41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -2*d**3 - 12*d**2 + 13*d - 2. Let t be j(-7). Sort 116, -7, t.\nAnswer: -7, t, 116","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16264*t + 132 = 16253*t for t.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 11 - 101637?\nAnswer: -101626","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 108\/5 + -2062\/95. Which is the biggest value? (a) 0.2 (b) -3 (c) k (d) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16*8\/480*(0 + -3).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -3*s. Let f(g) = 13*g - 3. Let q(o) = -30*o + 7. Let x(n) = 5*f(n) + 3*q(n). Determine x(y(p)).\nAnswer: 75*p + 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -l**3 + 6*l**2 + 67*l - 22. Let i be d(11). What is the greatest common factor of 198 and i?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3 - u**2 + u + 1. Let b(o) = -4*o**3 + 6*o**2 - 5*o - 5. Let m(v) = -3*b(v) - 15*q(v). Factor m(z).\nAnswer: -3*z**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = -3*j - 11*j. Suppose j = r + 3*p, -7*r + 12*r - 10 = -4*p. Solve 18 = 3*z - 2*w - 5, -5*z - r*w = -17 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven quarters of a meter in millimeters?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = t**3 - 28*t**2 - 58*t - 63. Calculate n(30).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = 13*r**2 - r + 4. Let j(p) = 16*p**2 - 2*p + 3. Let c(y) = -5*j(y) + 6*w(y). Let o(h) = 2*h**2 - 5*h - 10. Calculate -7*c(z) - 6*o(z).\nAnswer: 2*z**2 + 2*z - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 + 14 + -1 + -3.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = t**3 + 7*t**2 - 12*t - 9. Let s be g(-8). Calculate the highest common divisor of s and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = -c**3 + c - 18. Let o(j) = j**3 - j + 18. Suppose 5*t = -35 + 5. Let h(p) = t*o(p) - 7*g(p). Give h(0).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1*(((-198)\/(-12))\/11)\/((-384)\/2560).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:52 AM and 11:09 AM?\nAnswer: 317","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -1, 2, 1\/5, -16\/5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -23.1 - -26. Let d = s - 12.9. Let l = -3.6 - -4. Sort d, l, 3\/8 in descending order.\nAnswer: l, 3\/8, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) be the second derivative of 0*a**6 + 11\/12*a**4 + 0*a**2 + 0*a**3 - 1\/7*a**7 + 0 - 13*a + 0*a**5. Find the third derivative of b(v) wrt v.\nAnswer: -360*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 23, 98, 245, 482, 827, 1298?\nAnswer: 1913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) be the first derivative of -l**5\/5 - 4*l**3\/3 - 3*l**2\/2 + 14*l - 71. What is the second derivative of y(x) wrt x?\nAnswer: -12*x**2 - 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1121543 (base 7) to base 5\nAnswer: -13434002","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.009088 to 4 decimal places.\nAnswer: 0.0091","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**(3\/17)\/c**(6\/31) assuming c is positive.\nAnswer: c**(-9\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c + 2*c - 12 = 0. Solve 4*s + 3 = 3*n, 2*s + 0*n - c*n + 3 = 0 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 14*n**2 + 12*n + 18. What is the units digit of l(-2)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((b*b**(-2\/7))\/(b\/(b**1*b)))**(8\/3))**37)**(-23) assuming b is positive.\nAnswer: b**(-27232\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from loloooooooo. Give prob of sequence lol.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 32411465 a multiple of 215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**3 + 7*m**2 - 42*m + 299. Let t be r(7). Factor -2\/5*a**2 - 2\/5 + 4\/5*a**4 - 1\/5*a**t + a - 4\/5*a**3.\nAnswer: -(a - 2)*(a - 1)**3*(a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + 3 = -3*v + 3*g, 0 = v - 4*g + 16. Suppose -20 = -r + v. List the prime factors of r.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -93 equal to 24?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j = 6*j + 45. What is the closest to 5 in j, 17\/2, 1\/9, 0.2?\nAnswer: 17\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -4, 0, 2\/11, -1\/9?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307.\nAnswer: 307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -213 + 718. List the prime factors of k.\nAnswer: 5, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p - 9 - 7. Let x(k) = 8*k. Give x(p).\nAnswer: -32","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = 202*c + 1. Suppose -16 = -4*b, 0*b + 1 = 5*u - b. Is j(u) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m**2 + 5*m**2 - 17*m**2)*(3*m + 0*m - 2*m).\nAnswer: -12*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 102 + -82. Let k(l) = l**3 - 18*l**2 - 25*l - 1. Let i be k(c). Suppose 15*v - 376 = i. List the prime factors of v.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.6 times -0.06227945?\nAnswer: -0.22420602","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8905?\nAnswer: 5, 13, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 345*n**3 + 515*n**2 - 330*n + 40.\nAnswer: 5*(n + 2)*(3*n - 1)*(23*n - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*h + 1 = 9. Let t be h\/(-2)*(-1 + 3). Let f be t\/((15\/6)\/(-5)). Solve -x - f*x - 10 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(2448))**2 + (sqrt(136) + 3*sqrt(136))\/sqrt(8).\nAnswer: 4*sqrt(17) + 22032","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 482888241, 965776483, 1448664725?\nAnswer: 1931552967","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -9512 - 3248\nAnswer: -12760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:31 AM and 3:03 AM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2760)\/(-348) + -8 + (-21)\/(-3) + 25504\/(-232).\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-15600012)\/(-48) + (-2)\/(-16)*-2. What is u rounded to the nearest 10000?\nAnswer: 330000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 8) to base 14.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-240)\/(-9))\/1*-2*3. Let q be -1 - -2 - 5*(-8)\/z. Let j = 5 - 7. What is the biggest value in -5, j, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 48*j**2 + 2349 - 1138 + 19*j**2 - 1119 to r + o*j + n*j**2 and give r.\nAnswer: 92","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 0.09 + -1067247\nAnswer: -1067246.91","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from fffvfdvvdvvdfdddgfv. Give prob of sequence vvv.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor -l**2\/5 - 2054*l\/5 - 1054729\/5.\nAnswer: -(l + 1027)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 192969185 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 120317?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k, 1 t, and 1 j when three letters picked without replacement from {t: 5, j: 1, k: 7}?\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 332251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1)\/1 - (-2 - 1). Suppose -k + y*k = 0. Suppose -12 = -k*b - 4*b. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2617?\nAnswer: 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*d + 330 = -600. Let f = 84 + d. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let g(c) = 3*c - 2*c + 2*c + 0*c. Let a(t) = 10*t**2. Calculate g(a(d)).\nAnswer: 30*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -186 and -48.84?\nAnswer: 137.16","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1673854?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2? (a) -2\/19 (b) 2\/3 (c) -4 (d) 4\/5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = r**3 + 7*r**2 - 5*r - 37. Determine v(-7).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1212)\/30 + (6\/(-5))\/2. Let i = v - -46. Is ((-6)\/(-5))\/(i*(-6)\/(-2850)) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 9, -2, 934, -40, 4 in descending order.\nAnswer: 934, 9, 4, -2, -40","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.08 + -0.05. Let x = -2657\/4 + 665. Let u = -2.79 + 2.89. What is the closest to 2 in u, x, a?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n + 159 = -h + 3*h, -62 = -h - 4*n. Let i = h - 135. Let a = 66 + i. What are the prime factors of a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-1 - 4 + 3)*(2*r + 4*r - 3*r) - r + 2*r - 3*r)*(-9 - 18*r + 9) + (2 + 0 - 4)*(-2*r + r + 0*r)*(2*r - 3 + 3).\nAnswer: 148*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (4 - 2 - 5)*1\/(-3). Let i be (d + 14)*8\/12. Let p be 1 - (-3)\/(3 - 27\/i). Solve -8*v + p*v = -15 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((1 + 2 - 6)*(6*r - 4*r + 0*r) + 4*r - 3*r + r)*(r - 3*r + r).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -34.8 - -34. Let f = -0.800000067 - d. Round f to 7 dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*d - 8 = -11*d. Suppose -2*w = -2*y + d, 3*w = -4*y + 2*y - 16. Which is bigger: w or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 13 * 31.\nAnswer: 403","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -5831 - -13630. Is z prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -7758 + 3?\nAnswer: -7755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 1 - 6 + 6*t - 1 + 3*t**2. Let g(o) = 8*o**2 + 17*o - 17. Let m be (16 + -34)*1*-21. Let c = m - 361. Give c*p(u) - 6*g(u).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v\/v**(-4)*v**(-2\/29))\/(v**(-2\/5)\/(v*v**(-1\/2))) assuming v is positive.\nAnswer: v**(1691\/290)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Divide -26525793 by 1263133.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -438911 to the nearest 10000.\nAnswer: -440000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 73660980 and 120?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {u: 2, y: 8, f: 8}. What is prob of picking 1 u, 1 y, and 2 f?\nAnswer: 112\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes before 6:26 AM?\nAnswer: 6:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = f**2 + 7*f - 6. Let a be x(-8). Suppose -4*n - 2 - 6 = -4*q, -5*n - q = 4. Let d be a + (-2)\/n - 2. Solve -w + d = -1 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 131\/450 and -67\/540?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 35384 or 35385?\nAnswer: 35384","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2674, -0.6, -1\/3 in descending order.\nAnswer: -1\/3, -0.6, -2674","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -3*w - 1. Let t(l) be the third derivative of -l**4\/4 - l**3\/3 - 6*l**2. Let f(z) = -13*b(z) + 6*t(z). What is the first derivative of f(v) wrt v?\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1727.618 + -1762.7. Let f = l + 34.8. What is f rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*r - 31 = -23 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 651\/(-35)*2710\/(-813)\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5637 is divided by 16.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0 - 3 - 24\/(-3). Suppose -a - 16 + 11 = -i, -4*a = -i + f. Solve 2*u + 4 - 12 = a for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + 18 = -d, -5*d + 31 = 5*l - 2*d. What is the remainder when ((-29)\/l)\/((-2)\/10) is divided by 3?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 27 - -7. What are the prime factors of n?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -5*u**3 + 346*u**2 - 182*u - 74. What are the prime factors of g(68)?\nAnswer: 2, 3, 2549","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbrrxbrrxsrt. What is prob of picking 1 r, 1 s, and 1 b?\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 499.0003 millennia?\nAnswer: 49900.03","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 498934976?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-7994)\/(-3426))\/((-4)\/(48\/(-4))).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Let x = 115396 + -6923947\/60. Find the common denominator of -26\/1775 and x.\nAnswer: 21300","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c = -5*j + 8807, 6*c + 5281 = 3*j + 4*c. What is the hundreds digit of j?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 23\/6 of a century?\nAnswer: 4600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -4\/7, 2\/15, 6.8?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = -12 - 49 - 370*u - 10. Is p(-4) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 3\/8 of a litre?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = m - 11. Suppose -2*o + 34 = 4*d, -m*d - 4*o + 21 + 15 = 0. Is 8 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 4, -62, -356?\nAnswer: -62","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -55.4 - -55.5. Which is the nearest to l? (a) 3\/2 (b) 2\/11 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (5 - 4 + 0)*(4 - 2 - 1)*(-814335 + 814335 + 1896*m)*(0 - 4 + 2) to t + v*m and give v.\nAnswer: -3792","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 26*i - 41*i - 69 - 66 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + u + 74, -4*s + 3*u + 40 = -2*s. Let k = -16 + s. Suppose n - k - 7 = 0. Does 17 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 15072781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vab. Give prob of picking 2 b and 1 v.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ccn when three letters picked without replacement from {c: 3, n: 1, l: 1, m: 1, j: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**4*p*p)\/p)**(-1\/67)\/(p**(-2\/3)\/p*p*p)**(-21) assuming p is positive.\nAnswer: p**(464\/67)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1340 or 1346?\nAnswer: 1346","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 136576979 and 155?\nAnswer: 682884895","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.6 and 33.\nAnswer: -19.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = p - 7. Suppose 4*k = 3*k + p. What is the derivative of -r**2 - 6*r + 2 + k*r wrt r?\nAnswer: -2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2754 - -4?\nAnswer: 2758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 241444079?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2\/4 - 603*q\/4 + 151.\nAnswer: -(q - 1)*(q + 604)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 580981211 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1446143 (base 7) to base 11.\nAnswer: -1247a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4*d**3 + d**2 + 116*d + 180 - 260 + 80 to the form h + j*d + k*d**3 + u*d**2 and give u.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103687 divided by -93.\nAnswer: 103687\/93","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 33084.\nAnswer: 2, 3, 919","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {i: 3, p: 1, h: 5, j: 3, t: 5, x: 1}. What is prob of picking 1 p and 1 j?\nAnswer: 1\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 20818, 83224, 187234, 332848, 520066, 748888, 1019314?\nAnswer: 1331344","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y - 3 = 0, -2*x - 4*y + 91744164 = -7*x. Let o = 9548832 + x. What is o rounded to the nearest one million?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0.5 (b) -2\/15 (c) -6 (d) 789 (e) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nrj when three letters picked without replacement from {r: 4, n: 1, j: 1, v: 1, a: 4}.\nAnswer: 2\/495","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -8860000 rounded to the nearest 1000000?\nAnswer: -9000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + -2 + (-17 - -14) + 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 4 + -54?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**2 - 7*x - 3. Let i be p(-6). Suppose -3*j - 106 = -4*c, 2*j - i*j = 2. Is c composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i = -3*t + i + 3, -t - 5*i = -1. Suppose v + 2*u = -3*u + 8, u = t. Solve -g + 4 = v*f, -2*f + 5*f + 2 = -4*g for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 19591*x - 19246*x + 12765 = 0 for x.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 262, 584, 1116, 1852, 2786, 3912?\n\"Answer: -w**3 + 111*w**2 - 4*w + 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -y**3 + 5*y**2 + 6*y + 2. Let g be v(6). Suppose -52 = -g*q - 16. Is ((-9)\/q)\/(1\/(-178)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 53\/41117871 and 77\/656835.\nAnswer: 205589355","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 34\/6 + (-908)\/1362. What is the second smallest value in q, 0.3, -448, -3\/5, 1?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 148 minutes before 4:45 PM?\nAnswer: 2:17 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4383609 is divided by 705?\nAnswer: 624","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 2\/13 (b) 467 (c) 4816\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 2880, 5.\nAnswer: 1, 5, 2880","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -2*r + 1. Let p(f) be the third derivative of -f**4\/4 + f**3\/3 + 224*f**2. Determine 17*h(n) - 6*p(n).\nAnswer: 2*n + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 72536 is divided by 71664.\nAnswer: 872","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/4 of a year in months?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -742 - -1617. What are the prime factors of d?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: 10537436 divided by -115796\nAnswer: -91","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 0*z**2 + 0*z**2 + z**2 + (40 - 40 + 8*z)*(-z + 1 - 1) to u + g*z + n*z**2 and give n.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118*r = 120*r. Let v(a) be the third derivative of r*a**4 + 1\/120*a**6 + 0 + 0*a + a**2 - 1\/3*a**3 + 0*a**5. Differentiate v(y) with respect to y.\nAnswer: 3*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/106*((-7)\/21)\/(10\/36).\nAnswer: 3\/53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 20 = 3*w. Suppose 3*o + w*t - 4 = o, 2*o - 29 = t. What are the prime factors of 6*(4 - o\/8)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + 445 = 4*u, -3*t + 9 = -0. Suppose 5*v + 244 = 4*i - 2*i, i = -4*v + u. Let n be 117\/6*1*2. Calculate the highest common divisor of n and i.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 22220220 + -11?\nAnswer: 22220202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 0*g = -4*g + 13, 2*a + 5*g = 14. Let c = 6 + a. Calculate the remainder when 10 is divided by c.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000021642 rounded to six dps?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {p: 1, a: 11}. Give prob of sequence apa.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4003*g - 28 + 9392*g + 28 to y*g + t and give y.\nAnswer: 13395","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is (-489)\/2*(-5)\/(45\/42) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -106*b**2 - 248*b**3 - 29*b**2 + 250*b**3.\nAnswer: 2*b**3 - 135*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -2*f**2 - 10*f + 51. Let w be j(4). Let i = 127\/6 + w. Which is the biggest value? (a) 11 (b) 3\/5 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -353*v - 5*v**2 - 338*v + 724*v + (-v - 3*v + 5*v)*(2*v + v - 2*v).\nAnswer: -4*v**2 + 33*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p*((p*p\/p**(6\/7))\/p)\/p*p\/(p*p**(-2\/31)\/p))\/(p\/(p*p\/(p*p**(-1)\/p)))**36 assuming p is positive.\nAnswer: p**(15886\/217)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -6 divided by 777.\nAnswer: -2\/259","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -76 = -16*n - 65 + 261. Solve a - 6*a - n = 3*z, 0 = 2*z + 3*a + 11 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 24 + -122\/5. What is the biggest value in a, 2\/11, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 20 = 3*n - 7, 0 = 2*n - 5*b - 43. Is n a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + -4 + 6*5*(sqrt(605)*-1)**2*3.\nAnswer: 54450","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Round 10088.97 to the nearest one hundred.\nAnswer: 10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d = 4*u - 7*d - 8, -11 = -u - d. Let o = 7 - u. Suppose 2*s - 72 = -o*a + 2*a, -s - a = -44. List the prime factors of s.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 66.25 in -0.2, -0.1, 1\/4, -126, 0.07?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 874183295.\nAnswer: 5, 521, 335579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9357*b - 2072 = 9255*b + 1846 + 3324 for b.\nAnswer: 71","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-8)*2*-254. Let g be (860\/16)\/((-2)\/(-8)). Let d = l + g. What is the highest common divisor of 11 and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {x: 2, j: 1, t: 1, s: 2, g: 1}. What is prob of sequence sxjg?\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -256 divided by -2.\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5\/6 - 1)*11\/(-132). Let v = -91\/72 + z. What is the third biggest value in -5, -11, v?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**3 - 10*w**2 + 463*w - 274. What is d(-18)?\nAnswer: -184","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 71 + -67. Which is the smallest value? (a) f (b) 7 (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the third derivative of -h**6\/120 + 7*h**5\/60 + 11*h**4\/12 - 13*h**3\/6 - 6*h**2. Let k be q(9). What is the highest common divisor of k and 161?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 102 - 30. Is w a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18319.\nAnswer: 7, 2617","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nn when two letters picked without replacement from {n: 7, c: 1}.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 60 + -21. Let k = 89 - w. What are the prime factors of k?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = -23*g**2 - 1. Let d(j) = j. Let v(x) = -x**3 - 110*x**2 - 113*x - 438. Let h be v(-109). Determine h*d(t) + n(t).\nAnswer: -23*t**2 - 2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 7630559 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 6, k: 7, b: 6, j: 1}. Give prob of sequence jjb.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is m in -2*m**5 + 988*m**4 + 7074*m**3 - 29556*m**2 - 252072*m - 216432 = 0?\nAnswer: -6, -1, 6, 501","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*l**2 - 2*l**2 + 5*l**2 + (-6*l - 3*l**2 + 6*l)*(3 - 3 + 1) + (2 - 2 - 2*l)*(8*l + 8*l + 19*l) to t*l**2 + c*l + f and give t.\nAnswer: -72","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = 6*l - 81. Let p(j) = 3*j**2. Determine p(v(c)).\nAnswer: 108*c**2 - 2916*c + 19683","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 7, x: 4}. What is prob of picking 3 w and 1 x?\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - s - 6 = 0. Let o(b) = -5*b + s*b + 3*b - 4*b. Let h(n) = n. Calculate o(h(v)).\nAnswer: -3*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v**2 - 15*v + 69. Let a be u(10). Let b = -2 + a. List the prime factors of b.\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 4*g. Let z(v) = 199*v**2. Calculate r(z(k)).\nAnswer: 796*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 1202 - 21?\nAnswer: 1141","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-2)\/(-10) + 135009\/(-45). Let k be l*3*(-3 - -4). What is k rounded to the nearest 10000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) be the second derivative of 3*v**5\/160 + v**4\/8 + 5*v**3\/16 + 3*v**2\/8 + v. Factor k(y).\nAnswer: 3*(y + 1)**2*(y + 2)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve c + 5*i = -2934 + 2944, 6 = -8*c + 3*i for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -264*h**3 - 156*h**2 wrt h.\nAnswer: -1584","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (24\/(-15) + 2)*25. Let f = 1 + n. Is f even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 0.18 (c) 0.058978 (d) 1\/3 (e) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 55800407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 2.353106 milligrams?\nAnswer: 0.000000002353106","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = 13*v**4 + 2*v - 3. Let l(r) = 25*r**4 + 3*r - 5. Let o(y) = -3*l(y) + 5*x(y). What is the second derivative of o(a) wrt a?\nAnswer: -120*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 201020202102 (base 3) to base 11.\nAnswer: 239747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -808, -1619, -2430?\n\"Answer: -811*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Factor 991 - 487 + 0*a**2 + 84*a + 90*a**2 - 477 + 3*a**4 + 36*a**3.\nAnswer: 3*(a + 1)**3*(a + 9)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*y - 11 - 5 = 0 for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-2016)\/35)\/(-8) + -7.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 17, 37, 57, 77?\nAnswer: 97","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -33*y**2. Let r(p) = -2*p**2 - 3*p + 3. Let s(h) = 12*h**2 + 16*h - 16. Let j(u) = 16*r(u) + 3*s(u). Give f(j(v)).\nAnswer: -528*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 2767 and 14147671?\nAnswer: 2767","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -k**3*y + 337*k**3 - 24508*k**2*y - 103687*k**2 - 115*k*y + 7*y - 2 wrt y.\nAnswer: -k**3 - 24508*k**2 - 115*k + 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 26\/((-754)\/(-29))*(-1)\/(238\/21)?\nAnswer: -3\/34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*p**3 - 71225*p**2 + 498380*p - 711900.\nAnswer: 5*(p - 14238)*(p - 5)*(p - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 86 = 78 for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 122576557*x**4 - 145906211 wrt x.\nAnswer: 490306228*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2511 (base 6) to base 15.\nAnswer: 2b4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - -1) + (7 - (-5 - -11)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 1 = -0. Suppose -y = 3*k - 10. What is a in -9*a + 2*a**2 - 3*a**4 + 2*a**k + 7*a - 2*a**4 + 3*a**4 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 128\/3 + (-4)\/6. Let u(x) = x**2 + x + 1. Let o(z) be the second derivative of -2*z**4\/3 - 7*z**3\/6 - 7*z**2\/2 - z + 24579. What is f*u(c) + 6*o(c)?\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -34 + -1c24?\nAnswer: -1c58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 - (-1 + 0 - -3). Let j be (-15)\/6 - (y + 0). Let x = 12.9 + -13. Which is the third biggest value? (a) x (b) j (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5061289234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 984?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 121*y + 245. Let j be n(-2). Sort 4, j, 2\/51, -3\/2.\nAnswer: -3\/2, 2\/51, j, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 313.931393 to one decimal place.\nAnswer: 313.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 40 and 10884980.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -1.12 * -13.484\nAnswer: 15.10208","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -523782 = -25710*w + 831559 + 1729859 for w.\nAnswer: 120","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 498563605.\nAnswer: 5, 99712721","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = x. Let w(k) = 2*k**2 - 120*k + 1220. Let u be w(47). Let g(c) = -2*c**2 + 3*c - 16. What is u*n(m) + g(m)?\nAnswer: -2*m**2 + m - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1784391.3 and -5.\nAnswer: -8921956.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(2\/7)\/a)\/(a**(-2\/3)\/a))**(-3\/32)\/(a\/(a**(-2\/5)\/a)*a**(-2\/3))**(-16) assuming a is positive.\nAnswer: a**(23221\/840)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = 19*p**3 + p - 1. Let d be v(-1). What is the hundreds digit of (-17676)\/d + 14\/49?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.6 + -0.2. Let o = 0.02 + 0.98. Let y = -1 - o. Which is the closest to -1? (a) 0.2 (b) y (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*m + 13*q + 14 = 9*q, 5*m + 4*q = 2 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 0 + 3 + 572*w)*(-w + 4*w + 0*w) to h*w**2 + k*w + g and give h.\nAnswer: 1716","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 27*a - 1495 - 584. Solve u = -2*b, -u = a*b - 80*b for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = 87*n + 92. Let q be d(-1). Solve -l - 4*l = c + q, 5*l + 4*c + 5 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -89, -98, -113, -134, -161, -194?\nAnswer: -233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.02044 and -666.\nAnswer: 13.61304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 7? (a) 5 (b) -0.4 (c) -1\/4 (d) 94 (e) -216\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xsss. What is prob of sequence ss?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 11*k - 6*k + 1 + 2 - 2*k**2 + 0*k**2 + 4*k**2 + 83*k**3 to the form b*k**2 + a + p*k**3 + l*k and give a.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5731*j - 18 = -3*z + 5734*j, 0 = -4*z + 2*j + 20 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: ((13566\/95)\/(-34))\/(3\/(-10))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*n**3\/5 - 32200406*n**2\/5 = 0. What is n?\nAnswer: -16100203, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*f**3 - 13*f**3 - 257*f**2 + 265*f**2.\nAnswer: -21*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 100 = 2*k - k. Suppose -5*u + 2*u + 4*x - 31 = 0, -x = u + 15. Let a be (k\/6)\/(u\/11310). What is a rounded to the nearest 1000?\nAnswer: -15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w - 2*q = -2, -4*w + 460*q + 15 = 461*q for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1831 is divided by 20?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -36 - -38. Suppose 0 = -4*k + 5*y - 4*y + 19, -9 = 3*y. Solve -v*g - 2*g = k for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-10)\/16)\/((-11)\/(-22)) and -19\/36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence bb when two letters picked without replacement from bub?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Work out -4706 * -1178.9.\nAnswer: 5547903.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -w**3 + 10*w**2 + 11*w. Calculate l(11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 60 (base 12) in base 10?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 508.5+-0.4\nAnswer: 508.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 72 = -3*y - 3*k, -2*y + 26 = -k. What is the greatest common divisor of 20 and y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.1742648 rounded to 2 decimal places?\nAnswer: -1.17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 274353?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 41823840 to the power of 1\/3, to the nearest integer?\nAnswer: 347","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 4 + 3)*(29*m**4 + 6*m**4 + 45*m**4).\nAnswer: 240*m**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -2876 or 181.62?\nAnswer: -2876","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 16.3515 + 0.6485. Let h = 1.1 - 0.1. Which is the nearest to x? (a) h (b) 3 (c) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 2*n - 16. Let a be o(11). Suppose 2*c - 6*c + 8 = 0. Suppose 0 = c*m - 4*m + 6. Solve 4*p + a = j, 2*j - j + 1 = -m*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 q, 1 d, and 1 c when three letters picked without replacement from {s: 1, d: 1, g: 2, q: 1, b: 1, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7254?\nAnswer: 2, 3, 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*m - 1454 = 4*f - 1450, 3*f - 4*m + 3 = 0 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 42422485 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 492, -2, -4 in decreasing order.\nAnswer: 492, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 1 - -b16a0a?\nAnswer: b16a0b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m\/((m\/(m\/(m\/(m\/m**(-1))*m)))\/m)*m)\/m)**(-31) assuming m is positive.\nAnswer: m**(-62)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 19*g**2. Let l(h) = h**2 + 134 - 134. What is p(l(m))?\nAnswer: 19*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**10*m)\/(m\/((m*m**(1\/10)\/m*m*m)\/m)*m))\/((m*m\/(m*(m**(-1)\/m)\/m))\/(m**(3\/5)\/m)) assuming m is positive.\nAnswer: m**(57\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 4*(0 + 3\/102). Let x = 0.55 - 0.15. What is the nearest to 1 in o, 2, x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i - 14 = 2*j, 0*i - 5*j = 3*i - 13. Suppose -4 = 2*z + i. Which is the biggest value? (a) -2\/5 (b) 4 (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*y + 3*h + 39, -4*y + 3*h = 4*h + 27. Let v(u) = -5*u + 10 - 5 - 3*u + 1. Let f(i) = 9*i - 7. Determine y*f(z) - 7*v(z).\nAnswer: 2*z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2995, 6017, 9035, 12049?\n\"Answer: -2*a**2 + 3028*a - 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.06885323 - 4.43114597. Let v = i + 4.5. Round v to seven dps.\nAnswer: 0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -161*z**3 + 59*z + 3505336.\nAnswer: -483*z**2 + 59","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 7, t: 4, l: 7}. What is prob of picking 2 l and 1 b?\nAnswer: 49\/272","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 342.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) be the second derivative of d**10\/1120 + d**7\/180 - 5*d**4\/2 - 4*d. Let l(k) be the third derivative of i(k). Find the third derivative of l(n) wrt n.\nAnswer: 1620*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 704.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 4 = -2*i. Let m = 1849\/11 - 168. Is m <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3 - -4. Let h be (l - 0)*(5 + -1). Let w = 1688 + -1683. Solve -h = -i - w for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**3\/m**(-1\/4))\/(m**(3\/7)\/((m**3\/m)\/m)) assuming m is positive.\nAnswer: m**(107\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -155631, -155546, -155415, -155244, -155039?\n\"Answer: -h**3 + 29*h**2 + 5*h - 155664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 5 (b) -4.52 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or -37\/409124?\nAnswer: -37\/409124","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 3*(12 + 0)\/12. Solve -b*l + 155 = 28*l for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -13*y = -14*y - 4 for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11, 2, 23, 52, 89, 134?\nAnswer: 187","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u and 1 w when three letters picked without replacement from {u: 2, w: 11}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -212\/9 + 1723\/72. Let u = 32\/55 + -2\/5. Which is the biggest value? (a) -0.1 (b) u (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 3 + -52211350?\nAnswer: -52211343","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1445 is divided by (-2968)\/(-140) + (-12)\/(-15)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (12\/(0 - -1))\/(224\/112) + -1. Let k(j) be the first derivative of 6*j**4 + 0*j - 11\/2*j**2 + 0*j**3 - o. Find the second derivative of k(c) wrt c.\nAnswer: 144*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 113\/4249500 and -179\/144483000.\nAnswer: 144483000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**3 - 88430*u**2 + 7241174*u - 148375146.\nAnswer: 2*(u - 44133)*(u - 41)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6236476 - -0.19.\nAnswer: 6236476.19","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (5\/3)\/((-4)\/(-12)). Let b = o + -2. Suppose -2*z = -2*q + 14, q + 0*z + 2*z - 1 = 0. Solve -23 = -q*s - b for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 637 divide 136712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4607 greater than -53?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 8\/(-24) + (637\/(-12))\/(-7). Let d = -91\/12 + o. Calculate the common denominator of -139\/24 and d.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -88 - -95. Suppose 2*j - 90 = -d*j. Suppose -j*l = -204 + 34. What is the remainder when 100 is divided by l?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 6, v: 1, c: 6, x: 7}. Give prob of sequence cfv.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10733791 is divided by 659.\nAnswer: 658","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 190 - 186. Suppose -l + 21 = -5*a, -2*a = -a - 3*l - 7. Sort z, a, -6 in descending order.\nAnswer: z, a, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 87 and 27762024?\nAnswer: 805098696","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 1\/170 - -69\/2720. Let h = -2\/29263 + -2018827\/4682080. Let a = n + h. What is the second biggest value in -4\/3, a, 2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/l**(-2\/33)*l)\/(l\/(l**(3\/5)*l)))\/(l**(-2\/3)*l)**(-5\/3) assuming l is positive.\nAnswer: l**(1592\/495)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3176 to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2874 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -67, -407, -747?\n\"Answer: -340*n + 273","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 3:56 AM?\nAnswer: 3:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -465*i**2 + 5047 wrt i?\nAnswer: -930*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -7 (b) -2 (c) 0.2 (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 49792?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = 52*h**2 + 3*h**4 + 2*h**4 - 59*h**2. Let s(v) = -4*v**4 + 7*v**2. Let o(d) = -3*i(d) - 4*s(d). What is the third derivative of o(x) wrt x?\nAnswer: 24*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/237300 and 169\/7664790.\nAnswer: 76647900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -1112 (base 3) in base 8?\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 7889205 a multiple of 553?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 16*t + 4. Let h(r) = -17*r - 4. Let a(s) = -5*h(s) - 6*m(s). Suppose 0 = -q - 2*f + 2, 15 = -3*q - f + 2*f. What are the prime factors of a(q)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1 + 1 + (-187)\/2*-2.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8141809.\nAnswer: 13, 31, 89, 227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-104*h**4 + 258*h**4 - 129*h**4)*(-184 + 13*h - 8*h - 7*h + h).\nAnswer: -25*h**5 - 4600*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -13827*d**2 - 40. Let f(k) = 27660*k**2 + 90. Determine 9*b(h) + 4*f(h).\nAnswer: -13803*h**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between -0.183729986 and -0.3?\nAnswer: 0.116270014","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 18438936.\nAnswer: 2, 3, 67, 11467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2154.3741 + -38.818.\nAnswer: -2193.1921","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1798 = 5*i - 16*r + 15*r, -5*i = -4*r - 1792. Does 36 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (10626\/(-13195) - -2)*(0 - 1). Let k = 2\/377 - c. Find w, given that 9\/5 + k*w + 1\/5*w**2 = 0.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -599.41483 * 0.1\nAnswer: -59.941483","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 234?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(a) = a. Let n(o) be the third derivative of -11*o**4\/24 - 4*o**2. Calculate n(f(r)).\nAnswer: -11*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -135425, -541727, -1218909, -2166977, -3385937, -4875795, -6636557, -8668229?\n\"Answer: -s**3 - 135434*s**2 + 7*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7 - 6 - 3)*(2 + 3*j - 2)*(-4*j + 0*j + 3*j)*(-3 + 0 + 1 + (-5 + 2 + 0)*(11 + 12 - 8)) to r*j**2 + w*j + s and give r.\nAnswer: -282","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 + 16 = 3*z. Suppose -i - 4*f - f + 25 = 0, i = -2*f + 28. Suppose -z*c + i = -2*c. What are the prime factors of c?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -81\/29092 and 43\/766?\nAnswer: 11142236","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 3*g**2 - 27*g - 8. Let v(o) = o**2 - 14*o - 4. Let p(t) = -2*n(t) + 5*v(t). Is 4 a factor of p(-15)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 4\/7, -0.2, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) be the third derivative of -8\/9*i**3 + 0 - 1\/252*i**8 + 1\/2*i**4 + 0*i - 4\/45*i**6 + 4\/105*i**7 - 2\/45*i**5 + 148*i**2. Find p such that y(p) = 0.\nAnswer: -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 13007, 28388, 43769, 59150, 74531?\nAnswer: 89912","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -129 + 63 - 3*h**3 + 3*h + 68 - h**2 to f + d*h**3 + c*h**2 + j*h and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4948995 and 7364956.\nAnswer: 10643","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = y**3 - 3*y**2 + 4*y + 3. List the prime factors of i(4).\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 198317381?\nAnswer: 4831, 41051","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101 + (-26 - -117) + (7 - 0).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4391 is divided by 151.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is -20\/3 > 38.0674?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + k = 296, 1899 = 5*a - 5*k + 469. Let w = a - 208. Does 15 divide w?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 137 divide 534404942?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 423077 and 170839?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*h = -21*h + 20 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -283, -324, -385, -460, -543, -628, -709, -780?\n\"Answer: w**3 - 16*w**2 - 268","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 306 = 5*q + 6. Let i(x) = -5*x - 3. Let r be 3\/(-6)*3*2. Let y be i(r). Calculate the highest common factor of q and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -203, -578, -955, -1334, -1715, -2098, -2483?\nAnswer: -2870","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6177987877.\nAnswer: 53, 151, 229, 3371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7013?\nAnswer: 7013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sum -4319 and -6262066154.\nAnswer: -6262070473","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -9 - -24. Let j be 2*9\/(-6) - 3*-4. Suppose 50 + 337 = j*d. Calculate the remainder when d is divided by g.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 72 + -47. Suppose -7*b + j = -2*b. Solve -2*c + 11 = -c - 3*n, 15 = -b*n for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(363) - (-2*sqrt(363) + -5)) - 4*(-5 + 2 + sqrt(363) - sqrt(363)))**2.\nAnswer: 594*sqrt(3) + 29412","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 + -9 + (-1 - -1) + 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) = 6*x + 4. Let p(q) = q + 1. Suppose -3*g = -s - 2*s - 48, -40 = -5*g - 5*s. Let c = g + -11. Determine c*n(u) - 5*p(u).\nAnswer: u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 97477694 to the nearest integer?\nAnswer: 9873","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-1 + 1)\/(4 + -7). Suppose y = -z + 4. Which is the second biggest value? (a) z (b) -2 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6\/(-12)*(-2)\/(-2)*-5.\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.3 + -3092074573493.\nAnswer: -3092074573491.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9258680 divided by 43880.\nAnswer: 211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/576 and 77\/2736?\nAnswer: 10944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*(m\/(m**(2\/11)\/m)*m)\/m)**(-3)\/(m\/(m\/((m*m**(-2\/13))\/m)))**1 assuming m is positive.\nAnswer: m**(-1187\/143)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_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: Three letters picked without replacement from {w: 2, p: 2, k: 11}. Give prob of sequence ppw.\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*c - 80463 + 5769. Let j = c - -3102. What is j rounded to the nearest 10000?\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = v**2 - v + 5. Does 5 divide k(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 223124170 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*o**4 - o**4 + 5*o**4 - 18*o**2 + 3*o**4 + 7*o**2 - o**2 + 2*o**3 + (6*o**3 - 2*o**3 - 3*o**3)*(3 - 3 + o).\nAnswer: 6*o**4 + 2*o**3 - 12*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (b - 4*b + 2*b)*(3*b + 5*b - 6*b) + 0*b**2 + 2*b**2 - 3*b**2.\nAnswer: -3*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-32*v + 3 + 494*v - 1163*v)*(2 - 2*v**3 - 2) + 3*v**3 - 2*v**4 - 3*v**3 to the form m*v**3 + z*v**2 + h + d*v**4 + r*v and give m.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 2*a = 0, 3*c = c - 2*a. Let r(g) = -g**2 - 2*g - 1. Let t be r(c). Let f = -0.6 + 1. What is the closest to t in f, -0.03, 5?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7\/((-49)\/10))\/(98\/(-686)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = 5*b - 740, 10*b - 7*b + 2*x = 443. What is the remainder when b is divided by 68?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 26479213 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4911.\nAnswer: 3, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence oh when two letters picked without replacement from {h: 5, o: 1, u: 5}?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 d and 1 x when two letters picked without replacement from {d: 6, x: 2}.\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -42 + 0.1.\nAnswer: -41.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 12.29 in -2, 0.5, 5, -0.2, -4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -100 (base 2) in base 8?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-8) + (-252701)\/2760*5. Is -459 < l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = 1. Let p(y) = y + 11. Let w(z) = -4*b(z) + p(z). Let d be w(-5). Suppose -a = -d*n + a + 12, -4*a = 4*n. Solve n*j = -4 + 7 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in three tenths of a century?\nAnswer: 360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -18667, -28822, -45747, -69442, -99907?\nAnswer: -137142","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) be the third derivative of -o**6\/120 + o**5\/30 + o**4\/24 - 8*o**3\/3 + 10*o**2 + o - 62. Determine v(3).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.405814ml to litres.\nAnswer: 0.000405814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 4*y + 5. Suppose 11 = 3*n - 5*d, -6*n = -4*n + 4*d + 22. Let c(z) = -11*z - 14. Let a(i) = n*c(i) - 8*u(i). Let p be a(0). Solve 2*w + 0 = p for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -182*c + 6191 = 266*c - 18001 for c.\nAnswer: 54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/4 - 6300\/(-400).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 5*q - 0*q - 13, l - 10 = -3*q. Let m be -8 - 2 - (-1 - q). Let y = m - -17. List the prime factors of y.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13\/((-26)\/13*(-4)\/8)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 61461 or 184385\/3?\nAnswer: 184385\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) be the first derivative of -d**3\/3 + 21. Let x(p) = 4*p**2 + 2. Let z(n) = -21*n**2 - 11. Let i(m) = 22*x(m) + 4*z(m). Determine y(i(l)).\nAnswer: -16*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 15 (base 8) in base 10?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 - 1. Let r = -431 - -463. Which is smaller: r or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -65 divided by 6.\nAnswer: -65\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 7 - -152?\nAnswer: 161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -17*r - 153. Let s(u) = -6*u - 51. Let a(b) = -3*h(b) + 8*s(b). Let l be a(-16). Suppose -l*t = -3*c + t + 6559, 0 = -2*t + 4. Is c prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 34*b - 2. Let l = 84 + -78. Is x(l) a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z**3 - 3 + 41*z - 3 - 5 + 23*z**2 + 0*z**3 - 4. Let m be s(-21). Solve m*g + 3 = -15 for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1974.8865 months to millennia.\nAnswer: 0.164573875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -8*v - 16. Is 3 a factor of s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 11 * -0.076945.\nAnswer: -0.846395","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1\/(((-8)\/6)\/((-80)\/60)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4720761 is divided by 148.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -401061 (base 7) in base 14?\nAnswer: -1a8d8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13143?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine a, given that -a**3 + 773*a**2 - 772*a = 0.\nAnswer: 0, 1, 772","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Determine n so that 3882*n**4 - 37514*n**3 + 93052*n**2 - 46296*n - 144 = 0.\nAnswer: -2\/647, 2\/3, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -187 or -204?\nAnswer: -204","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k*k**(-1\/3))**(-2\/43))**48 assuming k is positive.\nAnswer: k**(-64\/43)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dkjidof. Give prob of picking 1 d and 1 o.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -660.70072 + -28898.\nAnswer: -29558.70072","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = t**2 - t + 1. Let w = 753 - 754. Let j(s) = 1. Determine w*c(l) + 5*j(l).\nAnswer: -l**2 + l + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 526 minutes after 3:26 PM?\nAnswer: 12:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -26*x - 77 = -597. Let l be (0\/(-1 + 4))\/(-2). Solve l = k + 4*k + x for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hdbduhedhqubuddhude. What is prob of picking 1 u and 1 b?\nAnswer: 8\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 69825736 is divided by 69066?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 874?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Round -20500.6 to the nearest 100.\nAnswer: -20500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = t**2 + 676*t - 249362. What is b(265)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1\/(2 - 81\/39). Let k = b + 22. Let g be 2\/k + (-50)\/(-18). Solve -4*n = -g*n for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 24864 and 3018.\nAnswer: 12506592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -201, -1, -10, -3.\nAnswer: -201, -10, -3, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 989 - 607. Is r a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/21 - (-6 + (-4118094)\/42). List the prime factors of 12\/(-90) + q\/120.\nAnswer: 19, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the first derivative of -10 - 1\/3*a**3 - 2*a**2 + 0*a. Determine z(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -431a70 (base 15) in base 2?\nAnswer: -1100001100000011100001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -3*c**2 + 7*c - 7. Let q(h) = 4*h**2 - 6*h + 6. What is 7*q(j) + 6*x(j)?\nAnswer: 10*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 15*v**5 - 250*v - 239*v + 485*v)*(-3 + 1 + 0).\nAnswer: 30*v**5 + 8*v - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 254157518?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -16354911, -32709821, -49064731, -65419641, -81774551?\nAnswer: -98129461","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 454 = 4*x - 26. Is x a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one fifths of a microsecond in nanoseconds?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1\/194 - -1547\/970. Let q(z) be the first derivative of 1\/10*z**4 - 1 - v*z**3 - 128\/5*z + 48\/5*z**2. Factor q(d).\nAnswer: 2*(d - 4)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12862640 a multiple of 80?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (2 + -15)\/104 + (-4865)\/(-8). Suppose -4*o - u + 5796 = 0. What are the prime factors of o?\nAnswer: 1297","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1, -6, -15, -28, -45, -66?\nAnswer: -91","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*q - 144 = -44*q. Calculate the lowest common multiple of 56 and q.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*k + 5*n - 120, 2*k - 5*n - 64 = -3*n. Suppose 1458 = -32*o + k*o. List the prime factors of o.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 69*v**3 + 186*v - 4*v**2 - 186*v.\nAnswer: 69*v**3 - 4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 58 + -2b1?\nAnswer: -256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 34581207, 69162413, 103743619, 138324825, 172906031, 207487237?\n\"Answer: 34581206*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 80280075 a multiple of 249?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 4*i**2 + 1. Let m be d(1). Suppose -39*y + 16 = -34*y + 3*v, 4*y - v = 23. Solve -h + y*x = m, -x + 12 = h + h for h.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 11\/11*-28*2\/8.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 0.2745 - 10.79\nAnswer: -10.5155","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -855*k**3 + 2727*k**3 - 858*k**3 - 1013*k**3.\nAnswer: k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -163479, -326970, -490461, -653952, -817443, -980934?\nAnswer: -1144425","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 37866?\nAnswer: 2, 3, 6311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 122*h**2 + 5 + 123*h**2 + 19.\nAnswer: h**2 + 21","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7666.\nAnswer: 2, 3833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes before 5:35 PM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 260*y - 262*y + 6, y - 9 = -3*h. Solve 2*w + 73*j - 77*j + 2 = 0, h*w + j - 8 = 0 for w.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 b, 1 d, and 2 v when four letters picked without replacement from {s: 1, d: 1, v: 2, b: 1}.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 9729*b*m**2*v**2 + 2*b*m**2*v + 5*m**2*v**2 + 11*m**2*v - 220*m with respect to b.\nAnswer: 9729*m**2*v**2 + 2*m**2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(75)*1 + -5)**2*-5.\nAnswer: -750*sqrt(3) + 1500","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -1 - 1 - 3\/3. Let q = f - -17\/7. What is the nearest to 9 in 4, 2, q?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = 67*z**2. Let p be t(1). Let m = 17 - p. What is m rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 831434.\nAnswer: 2, 415717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i - 7. Let s be y(6). What is the derivative of -s*t**3 - 30*t + 5 + 30*t wrt t?\nAnswer: -15*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/112 and -179\/60?\nAnswer: 1680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = r**3 + 16*r**2 + 81*r + 139. What is o(-9)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-2) - (2 + 1). Let l(p) be the first derivative of -1 - 1\/3*p**3 - 7\/2*p**2 - 6*p. Calculate l(o).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 4\/((-2)\/(-14) - (-965)\/105). Sort -2\/17, g, 3 in ascending order.\nAnswer: -2\/17, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mmmjmmmj. What is prob of sequence mmj?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*u**4 + 5*u**4 + 2*u**4 - 2*u**2 + 2*u**2 + 6*u**4 + (8 - 2 - 2)*(0*u**4 - 2*u**4 + u**4).\nAnswer: 6*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve u - 124*f = -68*f - 62*f - 38, 6*u - 4*f - 36 = -5*u + 9*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 - -128) + -32 + 29. Let f be 2\/21 + 1500\/j. Solve 6*r = f*r + 18 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) be the second derivative of -3*b**6\/10 + 21*b**5\/10 - 3*b**4 - 12*b**3 + 48*b**2 - 366*b. Factor x(f).\nAnswer: -3*(f - 2)**3*(3*f + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in -5, 0, -64, -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 19\/5621 < 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is -489591 at most -489585?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -226*u + 1313 = 94*u + 33. Put u, 114, -5 in increasing order.\nAnswer: -5, u, 114","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 2 (b) -101 (c) 38141 (d) 1\/4 (e) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -0.28439, -3\/218, 0.7?\nAnswer: -3\/218","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-19 + 25 - -10) + 11.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (-14 - -4) + 29 + -34\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 156665*k**4 + 39545*k**2 - 3.\nAnswer: 3759960*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 246*n**2 + 2011*n + 2009. Calculate y(-1).\nAnswer: 244","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add -96 and -11.5.\nAnswer: -107.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -356 = -9*b + 5*b. Let n = -139 + b. Let u = 85 + n. What is the units digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 7728834 + 0?\nAnswer: 7728834","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 26*y - 58*y + 23*y + 2*y**2 + 3*y**2 to d*y**2 + o*y + j and give d.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (6\/24*4)\/(3\/(-18)).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, 2, -1, 1 in decreasing order.\nAnswer: 2, 1, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64762.\nAnswer: 2, 32381","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-6)\/(-6) - -2) + (-1 - -2). Solve 14 = 2*n + p, -r + 4*n - 18 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**18*i*(i*i\/i**(-5)*i*i)\/i)\/(i\/(i\/(i**21\/i))*(i*i**(4\/7)*i)\/i) assuming i is positive.\nAnswer: i**(38\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0178123 rounded to five decimal places?\nAnswer: 0.01781","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -187 * -69\nAnswer: 12903","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeelleeeeleeee. Give prob of sequence el.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 + 138 + (8 - 4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = 3053*j + 33613. Determine f(-11).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 20*u**5 + u**4 + 67*u**2 - 7615*u - 3.\nAnswer: 400*u**3 + 12*u**2 + 134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jb when two letters picked without replacement from bbbhbubqzbj.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = -6*p**2 - 3*p + 28. Let s(u) = 4*u**2 + 2*u - 19. Determine 5*f(g) + 8*s(g).\nAnswer: 2*g**2 + g - 12","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) be the first derivative of -f**2 - 2. Let w(d) be the second derivative of d**3\/6 - 3*d. What is w(a(s))?\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 - -5. Suppose g - 4*o = 0, u*g + 3*o = 6 + 17. Solve 3*y + g*t + 7 = 0, 0 = 5*y + 3*t + 2*t + 5 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16849.\nAnswer: 7, 29, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 580238899 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 92326 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/d**(-17))\/d**(-2\/21) assuming d is positive.\nAnswer: d**(380\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -3*h**5*v - 58*h**4*v**2 + 14*h**2*v**2 - h**2*v - v**2 wrt h.\nAnswer: -180*h**2*v - 1392*h*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dxd when three letters picked without replacement from {d: 4, x: 2}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 2*v - 30 = 0, -v + 22 = -4*b + 97. Let y(o) = -3*o - 9. Let f be y(-5). Suppose -210 = -p - f*p. Calculate the greatest common divisor of p and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9194.242 weeks in milliseconds?\nAnswer: 5560677561600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 40654419583 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 18476 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360*o + 359*o + 2 = 0. Find w, given that -2\/7*w**o - 1\/7*w**3 + 2\/7 + 1\/7*w = 0.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(l) be the third derivative of -l**10\/90720 + l**8\/6720 - l**7\/3780 - l**4\/4 - 17*l**2. Let u(j) be the second derivative of b(j). Solve u(w) = 0.\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 385375517 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 48*c + 53*c - 146*c + 45*c - 6*c**2.\nAnswer: -6*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f + 94 = 1147. Suppose k - 4*k = -p + 129, -f = -p - k. Is p a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -389 - 7291?\nAnswer: -762a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.355 - 0.5. Let v = 13832517.14500133 - 13832517. Let c = a + v. Round c to seven decimal places.\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -39*c**2 - 36*c + 3. Let j(s) = -10*s**2 - 9*s + 1. Let q(d) = -6*i(d) + 22*j(d). Factor q(f).\nAnswer: 2*(f + 1)*(7*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2047.4 + -1846. Let o = i + -201. Which is the biggest value? (a) -5 (b) o (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 10 = 2*h + 3, -w + 2*h + 7 = 0. Let d be 0*-2*w\/(-2). Let n = d - 2. Sort 3, -3, n.\nAnswer: -3, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -47, -4, 2\/13, -2\/1471?\nAnswer: -2\/1471","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3660116?\nAnswer: 2, 915029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*l + 3*o - 551 = -614, -o + 14 = 2*l for l.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/7, 6, 0.4, -1\/12 in descending order.\nAnswer: 6, 0.4, -1\/12, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 517690 is divided by 1263?\nAnswer: 1123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = a**3 + a**2 - 4*a - 3. Let d be q(-2). Let m = -41 + 27. Let r = -10 - m. Solve 17 - d = r*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2105 (base 10) to base 12.\nAnswer: 1275","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.2, -8.4, -2\/65?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25446*a - 25444*a - 25448*a + 76330*a.\nAnswer: -8*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 1, -0.3, 2, -51 in descending order.\nAnswer: 2, 1, -0.3, -3, -51","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 2*a + 5*w, -3*a = 2*a - 3*w + 12. Solve 0*q - 5*q + 5 = a for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 6*w + 6. Suppose z = -2*z + 33. Let o be x(z). Calculate the highest common divisor of o and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) be the second derivative of 3*z + 3\/2*z**2 + 7\/6*z**3 + 0. Let w(c) = 15*c + 5. Let s(o) = 5*f(o) - 2*w(o). What is the first derivative of s(i) wrt i?\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 232871 to the power of 1\/5, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f*f**(-36))\/f**10)\/(f**28*f*f*f*(f*f*f*((f**(-34)*f)\/f)\/f)\/f*f) assuming f is positive.\nAnswer: f**(-44)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -96*s + 210*s - 115*s - 5*s**3 - 15.\nAnswer: -5*s**3 - s - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2\/5*r**3 - 1\/5*r**2 + 1\/5*r**4 - 2\/5*r + 0.\nAnswer: r*(r - 1)*(r + 1)*(r + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the first derivative of 4*h**2 + h + 9. Give j(-2).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2767 = 2833. What is n rounded to the nearest 100?\nAnswer: 1100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/14 - 296\/(-56). Suppose m*v - v = 4. Put -7, v, 2 in increasing order.\nAnswer: -7, v, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 5, y: 2, i: 3}. Give prob of sequence yi.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3558801\/(-2397654)*2 - (0 - 3). Let c = w - -2\/6343. Sort -3\/7, c, -3, 0.1.\nAnswer: -3, -3\/7, c, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 332 minutes before 10:35 AM?\nAnswer: 5:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -6477 divided by -5?\nAnswer: 6477\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 3682 and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 98010?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-374 + 244 - 634 + (-2 + 1 + 3)*(-3 + 2 + 0) + 1 - 1 - 1)*(-n + 2*n - 2*n) - 5*n + 0*n + n)*(n + n - 3*n) as z*n + d*n**2 + k and give d.\nAnswer: -763","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 80 a factor of 117569740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -t**3 - 2*t**2. Let x be g(-2). Suppose 6*q - 18213 - 10911 = x. Suppose -4*v = 2*v - q. Is v composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 p and 1 m when three letters picked without replacement from {k: 3, j: 4, p: 2, i: 1, x: 8, m: 2}.\nAnswer: 1\/570","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*l + 11*l + 3*l**2 + 11*l.\nAnswer: 3*l**2 + 11*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v\/(v\/(v**(-3\/4)\/v)))\/(v\/(v**(-16)*v*v)))\/(((v*(v*v\/(v**(-18)*v)*v)\/v)\/v)\/v*(v\/v**(-2)*v)\/v) assuming v is positive.\nAnswer: v**(-147\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {z: 3, y: 2}. Give prob of picking 1 z and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 0 + -1 + 16\/4. Let c be (-3)\/k + (7 - 4). Factor -5*b**4 + 10*b - 11*b + 15*b**c - 7*b - 2*b.\nAnswer: -5*b*(b - 1)**2*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (((-93)\/558)\/(105\/108))\/((-2)\/(-7)*2).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.08 or -826\/55?\nAnswer: -826\/55","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the second derivative of t**5\/20 + 2*t**4\/3 + 7*t**3\/6 + t**2 + 32*t. What is o(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 39598 and 482791.\nAnswer: 1523","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2200202 (base 3) to base 13.\nAnswer: b81","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7\/4*(-36)\/126*((-2310)\/(-5))\/3.\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does -0.375 = 43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1220*m - 1218*m - 6 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*sqrt(2)*-5 + sqrt(4)\/(sqrt(2) + sqrt(18)) + -5.\nAnswer: -5 + 41*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 126971 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*f + 11 = -3*l, 0 = -3*l + 2*l - f - 2 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 307733.\nAnswer: 307733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 145, -3, 16077, 4 in ascending order.\nAnswer: -3, 4, 145, 16077","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 0 + 8 + 0 + 1. Let c be (381 - u)\/4 + -3. What is the greatest common divisor of c and 135?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 5324412 + -0.0837\nAnswer: 5324411.9163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*y**4 - 20*y**3 - 34*y**2 - 16*y.\nAnswer: -2*y*(y + 1)**2*(y + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 43*j**3 + 130*j**3 - 212*j**3 + 36*j**3.\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1183 is divided by 298.\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*w**2 + 10204*w - 51120.\nAnswer: 4*(w - 5)*(w + 2556)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 796*a**3*x - 44*a**3 + 14*a**2 - 7*a*x + 18*a + x wrt a?\nAnswer: 4776*x - 264","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 30.19086998 rounded to three dps?\nAnswer: 30.191","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*t = -452 - 300. Suppose 6*b - 4*b = t. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -159.01 rounded to the nearest 100?\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*h**2 - 2*h**2 + 5*h**2 + h - h - 9*h**2 + (3 - 2*h - 3)*(-2*h + 1 - 1) to r*h**2 + o*h + n and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.22 and 2.41?\nAnswer: 0.5302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = 21*r + 3. What is u(-1)?\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 12, 3\/20975, -3\/5, -2 in descending order.\nAnswer: 12, 3\/20975, -3\/5, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*c**2 + 25*c**2 - 10*c**2)*(c - 2*c - 5*c).\nAnswer: -66*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = y**4 - y**3 - y**2. Let h(j) = -45*j**4 - 5*j**3 - 10*j**2 + 20*j. Let c(l) = 5*d(l) - h(l). Find the third derivative of c(t) wrt t.\nAnswer: 1200*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*y - y + 48. Suppose 0*q = -3*q + y. Suppose -r**2 - 2*r**3 - r**2 + q*r - 2*r**3 + 2*r**4 = 0. What is r?\nAnswer: -1, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 198*z - 2511 + 5255 = -5634 + 656 for z.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5340847 by -6.\nAnswer: -5340847\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 divided by 8480398.\nAnswer: -1\/8480398","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, c: 1, n: 3, y: 1, s: 1}. What is prob of picking 1 c and 1 s?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) be the third derivative of g**4\/12 + g**3\/6 + g**2. Let z(c) = 2*c + 6 - 4*c + c - 4 - 3. What is -b(x) + z(x)?\nAnswer: -3*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2\/(-2)*1*0\/185?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**3 - 20*f**2 + 7*f + 96. Give r(-20).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that 0 - 10\/13*y**2 - 8\/13*y - 2\/13*y**3 = 0.\nAnswer: -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-1)\/(-2))\/(1\/(-14)). Let w(u) = u**3 + 7*u**2 + 6*u - 2. Let z(n) = n - 1. Let q(x) = -w(x) + 3*z(x). What are the prime factors of q(r)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/20 + 23*w**4\/12 + 29*w**3\/3 - 19*w**2 - 178*w. Let i be v(-20). Solve 0 = -2*f + z - 5, -6*f = -f - i*z + 15 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*c**3 + 23326*c**2 - 93196*c + 93160.\nAnswer: -(c - 2)**2*(9*c - 23290)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 1.71612 and 399.\nAnswer: 684.73188","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((q*q\/(q*q\/((q*q\/q**(1\/2))\/q)*q))\/(q*q*q**(-3\/4)*q*q*q*q))\/(q\/q**(1\/16)*q)**23 assuming q is positive.\nAnswer: q**(-805\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 118 is divided by 61.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.1597, 1.7, -2\/7, -0.14, -0.1?\nAnswer: -0.1597","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a kilometer in meters?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/365 equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1394185?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1000 and 64.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 21192089?\nAnswer: 269, 78781","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 189.8*1.5.\nAnswer: 284.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 114 = -2*j, -i + 106 = -0*j + 2*j. What is the units digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {w: 2, r: 4, g: 12, o: 1}. What is prob of picking 2 r and 1 o?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 320\/18 - 6\/(-27). Let y(n) = 7*n - 30. Let g be y(5). Suppose -x + 9 = p, -t + 3 = -g*x + 5*p. Is 4 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - 5. Let m = -0.2 - -0.2. Let q = 5\/247 + -2011\/1729. What is the third biggest value in t, q, m?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.74 times 5?\nAnswer: -8.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = h**3 - 5*h**2 + 9*h - 7. Suppose -98*x = -528 + 136. Determine b(x).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y + 56 = -r - 0*y, y = 3*r + 184. Is (4 - 1 - r)*2 - -1 a multiple of 29?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*j**3 + 4740*j**2 + 1972224*j + 77856768.\nAnswer: 3*(j + 44)*(j + 768)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 14*n - 110. Suppose -5*k + 60 = -5*f, -7*k + 6*k + 2*f + 16 = 0. Let o be m(k). Solve -2*h + 4*b - 16 = 0, 3*h - 12 = 7*h + o*b for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -30*w + 516. What is i(17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 30 = -w + 4*q, -4*w - q = 55. Suppose -d = d + 5*t - 29, -4*t = -d + 8. Let h be d\/(-30) + (-141)\/w. Solve 0 = -4*s + h + 3 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -275, 5, -3, -5, 3.\nAnswer: -275, -5, -3, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -2792, 1, 43, 6 in increasing order.\nAnswer: -2792, 1, 6, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - 4) + (182 - 182) + (1 - -9).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*b + 5*b + b**3 - 8*b.\nAnswer: b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:15 AM and 8:10 PM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -557 + 42347*i + 279 + 278.\nAnswer: 42347*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000027345 rounded to seven decimal places?\nAnswer: 0.0000273","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 43142891 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*t**3 + 3*t**2 - 3*t**2 + (-4 + 2*t**2 + 4)*(-4 - 50 + 22)*(-2*t + t - t) to the form a + k*t**3 + m*t**2 + b*t and give k.\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-3) + 10\/(-30). Suppose -3*r - m = -4. Suppose w - 4 - r = 0. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x - 3*b - 21 = 0, 9 = 3*x + 4*b + 3 for x.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -22 + -0.18324525\nAnswer: -22.18324525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 160542?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 1.1, 226.8 in descending order.\nAnswer: 226.8, 1.1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/29? (a) 3 (b) 0 (c) 1\/2 (d) 2\/561\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is -794015.9 > 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -w = 3*w + 12. Let j = w + 12. Calculate the greatest common factor of j and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 147040208 to the nearest integer?\nAnswer: 12126","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 500 or 1490?\nAnswer: 500","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate f*g**2*u**3 - f*g**2 - 626836*f + 90917*g**2*u**3 - 3*g*u**3 with respect to f.\nAnswer: g**2*u**3 - g**2 - 626836","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*u**4 + 10*u**3 - 456*u**2 + 2656*u - 4480.\nAnswer: 2*(u - 7)*(u - 4)**2*(u + 20)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*m + 100 - 28 = 3*x, 88 = 5*x - 4*m. Let o be (-40)\/(-80)*(0 + x). Solve 8*i - 3*i - o = 0 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-18)\/(-1)*(3477\/(-61))\/(-3591).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 433243 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 4*b + 5)*(23544*b - 23544*b + 1310*b**2).\nAnswer: -5240*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*w + 36 = -4. Let l(k) = 2*k**2 + 13*k + 10. Let g be l(w). Let d = 41 - g. Solve -16 = -3*t - d for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -8*g**2 + 5*g + 7. Let f(o) = -o**2 + o + 1. Let c(k) = 4*f(k) - j(k). Let d be c(2). Let p = d - 6. Solve -p*w - 5*a = 0, 2*w - 3 + 5 = -3*a for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 2 - -22. Let h = 400 + -435. Let n = h + d. Which is the smallest value? (a) 2 (b) n (c) -0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) be the first derivative of l**3\/3 + 6*l**2 + 8*l - 2. Let o be v(-11). Let f(j) = j**3 + 5*j**2 + 3*j - 1. Calculate f(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.89429 to 2 decimal places.\nAnswer: -4.89","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 55340633 to the nearest integer?\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5 - 4139.\nAnswer: -4138.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -555291.06 rounded to the nearest one hundred?\nAnswer: -555300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z + 1. Let h(v) = v**2 + 4*v + 4. Let m = -1 - -5. Suppose 20*a = -20 - 0. Give a*h(l) + m*w(l).\nAnswer: -l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0 + -2. Let q be 33 - 2 - (-6)\/(-3). Let u = q - b. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/(-45))\/((-2)\/(-20)*(-20)\/(-24)).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2.0689452 less than 20734804?\nAnswer: 20734801.9310548","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (0 + (-7)\/14)*16. Let h be ((-168)\/16)\/7*a. Calculate the greatest common divisor of 516 and h.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*x - 2*r - 16, 0*r = -3*x - r - 13. Let z(s) = -8*s - 18. Let o(d) = 12*d + 27. What is x*o(h) - 8*z(h)?\nAnswer: 4*h + 9","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*s + 240 = 12*s. Calculate the lowest common multiple of 5 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0\/1*(2 + (-2 - 1))\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = 8*i. Let d(l) = -19*l**2 - 5*l - 20. Let s(p) = 49*p**2 + 13*p + 52. Let w(t) = -26*d(t) - 10*s(t). Calculate w(r(y)).\nAnswer: 256*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**3 - 14*p**2 - p + 18. Let d be b(14). Let n be ((-33)\/9 + d)*-3. Which is smaller: 1\/10 or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -26\/7 + 220\/63. Which is the biggest value? (a) -0.1 (b) v (c) -4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cgcy when four letters picked without replacement from {g: 5, y: 2, c: 6}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -12756 - -12754. Let r(i) be the third derivative of -i**5\/60 - i**4\/6 - i**3\/2 + i**2. Determine r(f).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4833 or -6052?\nAnswer: -4833","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) be the second derivative of 4\/15*w**6 - 7\/20*w**5 - 1\/42*w**7 + 0*w**2 - 42 + 2*w + 0*w**3 + 0*w**4. Let b(a) = 0. Calculate a.\nAnswer: 0, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/3? (a) -0.03 (b) 0.3 (c) -55\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 74*g - 4927 + 2481 = -670 for g.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(176) + -1 + (sqrt(176) - sqrt(176)*4)**2 + (-4*sqrt(176) - sqrt(176)) + 0.\nAnswer: -16*sqrt(11) + 1583","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -7 or -108888094?\nAnswer: -108888094","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -5*p**2. Let c(u) = -2*u**2 - 6*u - 6. Let s(v) = -6*v**2 - 17*v - 17. Let z(a) = 17*c(a) - 6*s(a). Determine z(g(x)).\nAnswer: 50*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 534021 divided by -1887\nAnswer: -283","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4 + -6. Let b be (1 - (-1)\/(-1))\/o. Solve -3*m - m - 12 = b for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1516*v**2 - 294 + 601 + 1523*v**2 - 307.\nAnswer: 7*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 3355401 to the nearest integer?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -8 + (-1 - (3 - 6 - 4)) - -15?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*k - 4*k + 2*k + 0*k + 3*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (4\/352)\/(483\/1932).\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 1 = -2*j, 2*j - 312*v - 19 = -313*v for j.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -306? (a) 3 (b) -1 (c) 0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 47822 and 118.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, -1, -15, -2, 3, 132, 7 in ascending order.\nAnswer: -15, -6, -2, -1, 3, 7, 132","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = 2*v + 165. What is the least common multiple of u(-11) and 130?\nAnswer: 1430","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-9802)\/(-87))\/((-1)\/3). Let p = 3044\/9 + w. What is the closest to -2\/3 in p, 0.2, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2 - 2 + f)*(7 - 9 + 12) to d*f + l and give d.\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 432 minutes before 12:40 AM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 40 + -5 + 3 + 3. Suppose 0 = -4*z + 35 + l. Let y be (-2)\/z*-1*-1. Which is the smallest value? (a) y (b) -3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 3*i**2 + 10*i + 5. Let q be g(0). Suppose 5*s - 21 - 34 = 0. Suppose -q*w = -s - 9. What is the units digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.5 - 0.09441065.\nAnswer: 0.40558935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 249 <= 0.131?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) be the second derivative of 0 - 1\/90*d**5 - 64*d + 0*d**2 + 0*d**3 - 1\/6*d**4. Factor w(f).\nAnswer: -2*f**2*(f + 9)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = 5*f - 5. Suppose p + 206 = f*p. Is p prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = 6*u**2. Let f(g) = 2815869*g. Determine f(v(d)).\nAnswer: 16895214*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 6 - 11. Let l(r) = -3*r + 6. Let p(m) = -2*m + 4. Let o(d) = q*l(d) + 7*p(d). Calculate o(5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = 2*f**2. Let c(j) = 3*j + 21. Let i(o) = 3. Let q(v) = 2. Let g(w) = 3*i(w) - 4*q(w). Let x(n) = 2*c(n) - 42*g(n). Calculate b(x(k)).\nAnswer: 72*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 16, 11, 12, 25, 56, 111?\n\"Answer: b**3 - 3*b**2 - 3*b + 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1146027)\/(-105384) + -4 + 3. Let d = i - -1\/4391. Find the common denominator of d and 71\/(-36) + (-2)\/8.\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 113148, 226297, 339446, 452595, 565744?\nAnswer: 678893","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-10)\/(-30) - (-8)\/3. Solve 3*g + 11 = 2*b, -3*b = 5*g - s - 4 for g.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 48 and 336?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 11356?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:58 PM and 1:20 AM?\nAnswer: 82","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*v - 4 = m, 4*m - 722 = -v - 724 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 + (6 + 1 - 4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -186 divided by -1173292\nAnswer: 93\/586646","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.9542 - 0.0458. Let a = -10.5 + 10. Is a at least as big as v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 289 minutes before 1:20 AM?\nAnswer: 8:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from uhhhhhhhhhhhhhhuhhuh. Give prob of picking 3 u.\nAnswer: 1\/1140","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19*z + 6 = -16*z. Suppose -4*l + z*n + 2 = -0*l, 5*n = 4*l + 13. Solve -l*r - 2*r = -10 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -1*2 - (-30 - -8). Is 18 != q?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 183 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -53\/3045 and 111\/692930.\nAnswer: 60284910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 4151 + -4154. What is the fifth biggest value in d, -0.3, 14, -2, 5?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = -t**3 + 9*t**2 + 2*t + 5031. Let u(g) = 2*g**3 - 17*g**2 - 5*g - 8384. Let o(f) = -3*u(f) - 5*w(f). Let h = 7 - 1. Give o(h).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) - (((sqrt(1573) - -4*sqrt(1573)) + sqrt(1573) - sqrt(1573)) + sqrt(1573)) - ((sqrt(52) - sqrt(13)) + -1))**2.\nAnswer: -112*sqrt(13) + 40769","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-2)\/(-3))\/(31\/465). Is 14 at most as big as m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -4 - 4*v**2 + 3*v**2 + 2*v**2. Let z be u(2). Is -3\/7 equal to z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) = -t**2 + 107*t + 1010. What is x(-9)?\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1598 and 5?\nAnswer: -7990","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 59\/792 and -133\/360?\nAnswer: 3960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 2*v - 484 + 444 for v.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 9154512347 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 163 = y + 5*c, 2*y + 4*c - 326 = -c. What are the prime factors of y?\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 489 a factor of 589734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2*(10\/3)\/(24\/18). Suppose 9*k - 8*k = -4*c + 200, 4*k = -y*c + 811. What is the tens digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 39277 - 10061. Is p a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.2 - 0.8. Suppose -2*z = 2*f - 6*z - 22, -4*f + z = -9. Which is the closest to f? (a) -2\/7 (b) x (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -101069515 divided by 84577.\nAnswer: -1195","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 14664 and 107536.\nAnswer: 322608","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1628 is divided by 267?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 65129, 130262, 195393, 260522, 325649?\n\"Answer: -d**2 + 65136*d - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1 or -10\/2701?\nAnswer: -10\/2701","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 4, 26, -4, 0 in descending order.\nAnswer: 26, 4, 1, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) be the first derivative of b**2\/2 - 6*b + 7. What is k(5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((2168\/29268)\/(21\/8667))\/(2\/(-7))\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 11, c: 4, u: 3}. Give prob of picking 1 c and 2 h.\nAnswer: 55\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -2 - -203103?\nAnswer: 203101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*p**3 - 2132*p**2 + 480942*p - 24776928 = 0. Calculate p.\nAnswer: -1264, 99","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 173617\/9260 - -2\/2315. Let i = 3\/295 + 19163\/1180. What is the common denominator of o and i?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2 and 843202.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -93\/44 and 63\/1000060.\nAnswer: 11000660","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 570549?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 4759294\/243 equal to 19586?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 144.999669 + -145. Round l to 5 decimal places.\nAnswer: -0.00033","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 15692?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = 4*k + 5*s - 18, 9 = -k - 5*s. What is the remainder when 31 is divided by k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0001862 to 5 dps.\nAnswer: -0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = u + r, 6*u = 5*u + 2*r + 14. Suppose 0 = 3*j + u + 2. Let q = 87 + -90. What is the closest to j in -3\/4, 3\/8, q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 2*w - 976102 = -396256, -4*j - 3*w = -579847. Is j a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 28 (b) -0.1 (c) 2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 817*j**4 + 3*j - 2*j - 4*j**2 + 2 - 815*j**4 + 8*j - 4*j**3 as y*j**4 + h*j**3 + x*j + w + n*j**2 and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -1101000101 + 1101?\nAnswer: -1100111000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v**4 - 70348*v**3\/3 - 328363*v**2\/3 + 164168*v\/3 + 78180 = 0. What is v?\nAnswer: -5, -2\/3, 1, 23454","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**3 + 13*w**2 - 10*w + 7. What are the prime factors of p(-13)?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*r + 4*x = 8, -r - 2*x + 7 = -6 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -2 + (-9)\/(-3) + -3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.12 - -2.88. Let i = -4 + 9. Let l = p - i. Which is the closest to l? (a) -3 (b) 2\/3 (c) -1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 234*o + 124 - 4966*o**2 + 4968*o**2 - 114 to the form u + d*o**2 + z*o and give d.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 43*s + 8. Let k be t(1). Suppose -5*c + 19 = -k. Calculate the smallest common multiple of c and 8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*n - 1 = -3*c + 2*c, -2*c = -2. Suppose -h + 3*d + 14 = 0, -h + 4*d + 11 = -n*h. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 126 + (1 - (4 - 2)). Suppose q = 10*h - 5. What is the lowest common multiple of 8 and h?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/4, -8, -1\/12 in ascending order.\nAnswer: -8, -1\/4, -1\/12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = x + 24. Let q(v) = -v**2 + 12*v + 14. Let n be q(13). Sort x, n, 4.\nAnswer: x, n, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 461313.3 months?\nAnswer: 38.442775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6\/17 + -110\/119. Let a = -5.1 - -1.1. Let m = 3 + a. Sort m, 5, f in descending order.\nAnswer: 5, f, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: 173808 (base 12) to base 8\nAnswer: 1415710","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23 + (-2 + -6 - 25) - -66?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 18 - -450?\nAnswer: 468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j = 9 - 39. Let a = -2 + 2. Solve -3*f + j = -a*f for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*b - 19. Suppose 4*v + 2 = b. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 756.2321 to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from atxtlattlx. What is prob of picking 1 l and 1 x?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 4617167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -5, -10, 0.1, -5\/4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h + 3*h = 45. Does 9 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*o - 23888 - 8924 = -8592. Is -3460 at most as big as o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-27)\/(-243)*(-474)\/20 and (-4728)\/(-3120) - 1\/2?\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/(-51) + (71101\/194)\/(34\/4)\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 14620 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3.126699*5.\nAnswer: 15.633495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 14868303 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(((-6)\/(-18))\/((-2)\/6))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 6, a: 2, s: 3, w: 1, f: 1}. Give prob of picking 2 y.\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = 3*a**2 + 2*a + 32. Let d(y) = -7*y**2 - 5*y - 65. Give -4*d(w) - 9*l(w).\nAnswer: w**2 + 2*w - 28","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -129 = 14*c - 87 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7584644 divided by 11.\nAnswer: 7584644\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*g + 106*g + 23 = 4*w, 0 = -3*g - 3*w + 24 for g.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2375*d**2*w**3 + 3*d*w**3 - 2*d*w - 25*w**3 wrt d?\nAnswer: -4750*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -2 + 24. Let w = v + 19. What are the prime factors of 6 - 0 - (w - 5)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/1250 and (6\/(-300)*28\/(-10))\/(11\/(-2)).\nAnswer: 13750","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 6 (b) -0.3 (c) 73 (d) -0.085\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 47*s = 14*s - 206*s + 20554 for s.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 5*z = -37, 2*b - 2*z + z - 17 = 0. Solve 6 = -3*y - 3*t, -b*y = -7*y + t for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in five eighths of a meter?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2.24, -1, 3 in ascending order.\nAnswer: -2.24, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6650\/23205 - (-12)\/(-51).\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -55*y**3 + 150*y**2 + 3015*y + 810 = 0.\nAnswer: -6, -3\/11, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 7 = 14. Suppose s = 4*m + 3. Solve 3*b = 2*b + m for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 226*k + 3*k**4 - 65*k**2 - 2*k**3 - 2*k**4 + 35*k**2 - 2 + 29*k**2 in the form u*k**2 + c*k + j*k**3 + t + g*k**4 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*s - 6*h + 15 = -h, 0 = s - h + 7 for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -6*-2.1\nAnswer: 12.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 115.073 + -115. Let k = g - -14.927. What is the second biggest value in k, 0.2, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11011 + -10010110011111101101000?\nAnswer: -10010110011111101001101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 64 + -52. Let x be (-11 + a)\/((-1)\/(-16)). Let i(w) = -2*w + w - 16 + x. Let s(v) = -11*v**2. Give s(i(g)).\nAnswer: -11*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121.3 - -119. Let y = t - -73.3. Let u = 39.8 - y. Round u to the nearest 10.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 176951072 to the nearest integer?\nAnswer: 13302","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1\/31 (b) 0 (c) -4\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1402038863 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*l - 7*l**2 + 4*l - 5*l**2 + 0*l**2 + 3*l**2 + (-1 + 1 + 1)*(-3*l + 3*l - l**2).\nAnswer: -10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 542170 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: Let x be (-1 + (-404)\/(-12))*3. Let u = x + -21. Does 34 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1150830 or -1?\nAnswer: -1150830","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 160 and 164.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 62694668?\nAnswer: 2, 15673667","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t + t = 15200000. What is t rounded to the nearest 1000000?\nAnswer: -8000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) -1\/2 (c) 2\/613 (d) 0.5 (e) 188 (f) 1\/147\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -53\/39 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.5, -2251, -196?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f**2 + 21*f + 12. Let w(v) = v**2 - 14*v - 8. Let d = 53 + -74. Let j = -16 - d. Let u(x) = j*b(x) + 7*w(x). Give u(-4).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 205228429.\nAnswer: 7, 97, 409, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 174 - 174.4. Let v = 2.3 + -0.3. Which is the second biggest value? (a) 0.04 (b) p (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -9, -9, -5, 3, 15?\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6689279 by 6.\nAnswer: 6689279\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*r + 2*j + 12, 20 = r - 6*r + 5*j for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 3 + 130052?\nAnswer: 130055","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -248 (base 14) to base 5\nAnswer: -3311","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1\/43 - 77\/387. Let c = 1.9 + -2. Let p = c + -0.2. What is the second biggest value in 5\/6, q, p?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.3 + 0. Suppose 2*g = 2*u + 1840, -4*u + 4*g = 2*g + 3684. Let q = u - -906. Which is the closest to q? (a) 1 (b) 2 (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -8*y. Let u(t) = t + 2. Let d be u(1). Let w(f) = 25*f. Calculate d*w(m) + 10*b(m).\nAnswer: -5*m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 23*k - 50539 - 520367. List the prime factors of k.\nAnswer: 2, 3, 7, 197","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 1358 or 1360?\nAnswer: 1360","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - 5 = 1. Suppose 0*i = m*i - 36. Let s(f) = -3*f**2 + 34*f + 31. What is the remainder when i is divided by s(12)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 1081700 to the nearest ten thousand.\nAnswer: 1080000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*j = -5*r + 5, 2*j - r - 135 = -129 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 4, x: 6, f: 1, a: 2}. Give prob of picking 1 x and 3 f.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let d(x) = -101*x + 1615. What is d(16)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -6978 or -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of (2964\/(-27))\/(-38)*6\/161 and 4\/483.\nAnswer: 483","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n = -2*t + 41891 - 8316, -50380 = -3*t - n. List the prime factors of t.\nAnswer: 5, 3359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-3))\/(6\/9). Suppose -z*o = l - 2, -3*o - l + 8 = o. Let x be ((-4)\/3)\/(2275\/(-117) - -19). Solve 0*m + x*m = 2*s - 6, 0 = o*s - 4*m - 8 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.5 * 1.1\nAnswer: -0.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k*k*k\/((k\/((k\/(k\/(k**(2\/47)*k)*k))\/k))\/k)*(k\/(k*k**(-18)))\/k)\/((k**(1\/72)\/k)\/k**(-1\/34)) assuming k is positive.\nAnswer: k**(1150517\/57528)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Convert -90 (base 10) to base 9.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 74598 and 3?\nAnswer: 74598","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 1250704 (base 9) in base 5?\nAnswer: 133323130","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -180 + 182. Is (1 - -1)\/(10\/1685) + q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 90\/15*4 - 10. Solve -x*l + 4 - 18 = 0 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2023.4 - -2023. What is the second biggest value in 1, 0.28, 0.1, y?\nAnswer: 0.28","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -202121221110 (base 3) to base 16\nAnswer: -631fb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 22, 32, 38, 40, 38, 32, 22?\n\"Answer: -2*a**2 + 16*a + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -432531 (base 9) in base 10?\nAnswer: -257770","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -547*i - 10371. Calculate v(-19).\nAnswer: 22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 771178 is divided by 257031.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -8*f*i*v**3 - 3*f*i*v + 3*f*i - f*p*v**3 - 2*i*p + 3*p*v**3 - 4*p*v - 2*v**2 wrt p.\nAnswer: -f*v**3 - 2*i + 3*v**3 - 4*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -377*x - 142*x - 3540 = 661*x for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2054 + 4*a - 2502 - a**2 + 4556.\nAnswer: -a**2 + 4*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 186928548461 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3\/(-12) + 5150\/56 - (-28)\/98. What is the highest common factor of 8 and w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i - 90 = -11*i. Let p be ((-5)\/i + 10\/12)*-15. Let s = -0.4 - 0.1. What is the smallest value in p, s, -2\/9?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*i**2 + 1266*i + 133563 = 0. Calculate i.\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3 + 28\/(-10) + 636\/20. What is the greatest common divisor of 32 and l?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 9295 + -9307. Let r(o) = -o**2 - 16*o + 8. Give r(j).\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88 + 424 = 14*f. Suppose 15 = -19*i + f*i. Let x = -3 + 7. Solve 4*o - 5*u - 9 = 0, -x*u - 12 = o - i*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 140 and 40?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16 + -27 - -99 - 28) + 11.\nAnswer: 71","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -496771 and -8.\nAnswer: 3974168","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = -2*a + 18. Let h be d(8). Suppose 2*c = -h*u - 18, 3*c + 4*u + 32 = -0*c. Which is smaller: c or -19\/5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10110100011000001110010111110 - 10?\nAnswer: 10110100011000001110010111100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 157689409.\nAnswer: 191, 227, 3637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h + 60 + 35 = 5*c, -9*c + 16 = -2*h - 14*c + 54 for h.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4547 is divided by 1532?\nAnswer: 1483","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 4*d = 23, 0 = n - 6*n - 5*d + 50. Let i(c) = 2*c**3 + 2*c**2 + 3 - c**3 + 3*c**2 - 2*c + n*c. What is the lowest common multiple of i(-3) and 11?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2 - -14) + (-1 - (13 + (17 - 5))).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h = -4*r + 1700, 0 = 2*r - 0*r - 5*h - 850. Let i = 907 - r. What are the prime factors of i?\nAnswer: 2, 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 + h + 1. Let a be u(0). Let y = -7 + 9. What is the biggest value in y, a, -5?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes after 1:59 AM?\nAnswer: 12:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 86 divide 2580?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 395 + 14*k + 395 - 14*k + 4367*k**2 - 791 to the form n*k**2 + l*k + v and give n.\nAnswer: 4367","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cc when two letters picked without replacement from icic?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = -j**3 - 14*j**2 + 33*j + 18. Let b be f(-16). Solve b - 1 = h for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 4, x: 3}. What is prob of sequence wwww?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 5\/((-5)\/2) + -1. Which is smaller: x or -7\/2?\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*s**2 + 5*s**2 - 4*s**2)*(1 + 3 - 2)*(-2*s + s - s + (1 + 1 + 1)*(-1 + 1 - 2*s) + 0*s + 2*s + 0*s).\nAnswer: 12*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9121 is divided by 294?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 108328761 and 17419.\nAnswer: 108328761","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = z**3 + 2*z**2 + 2. Give q(-3).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 4926, 2020 in increasing order.\nAnswer: 0.3, 2020, 4926","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 61 + -51. Suppose -t = -4*d + d + 43, 2*t = g. What is the remainder when 62 is divided by d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1772.661*-0.368.\nAnswer: -652.339248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zn when two letters picked without replacement from {n: 3, z: 11}.\nAnswer: 33\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00447896 to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -515 divided by 103\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-18)\/432*32)\/(632\/(-24) + -5)\nAnswer: 2\/47","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3318*q + 242*q + 1292*q - 778*q - 1288*q.\nAnswer: 2786*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2391, 2390, 2389?\nAnswer: 2388","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 9126984 and 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/27)\/(286\/(-42)). Let z = f + -2\/39. What is the second smallest value in z, -3, -3\/4?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0011068 to three dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -15\/65744 and 29\/71.\nAnswer: 4667824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/2 (b) -3\/5 (c) -18 (d) 1\/8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -47*f**3 - 3*f**2 - f**4 - 24*f**3 + 128*f**3 - 8*f + 1 - 26*f**3 in the form g*f**2 + j*f + n + l*f**4 + z*f**3 and give z.\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10 + 6. Let p(h) = -h**2 + 13*h - 13. Let b be p(9). Let j = b + -28. Which is bigger: j or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -173938, -173937, -173936, -173935, -173934?\n\"Answer: f - 173939","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*v**6 - 50*v**3 - 8*v**2 + 10.\nAnswer: -240*v**3 - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*v + 95 - 2627 = 0 for v.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 17. Let x be s(-11). Find the common denominator of 2562\/(-2277) - ((-112)\/184)\/(-7) and 4\/24 - (-39)\/x.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 88*p**2*s*w - 8507*p**2*s - 88*p**2*w - 1919*p**2 - 5*s*w - 2*w - 1 wrt s.\nAnswer: 88*p**2*w - 8507*p**2 - 5*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*d + 3*d + 0*d + 2 - 2 + 2*d + (0 + 2*d + 0)*(-2 + 2 - 2) + 0*d - d - d - 3 + 3 + 3*d + (-17*d + 20*d - 21*d)*(2 - 1 - 2) + 3*d + d - 6*d.\nAnswer: 18*d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -48620d + -130?\nAnswer: -48633d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1\/3*i**2 + 11\/3*i - 10\/3.\nAnswer: -(i - 10)*(i - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -34 - (2 + (-26 - -18) - -10)?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1714463 is divided by 214182.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*q + 18 + 48. What is the units digit of (-4)\/((-32)\/(-52))*q*-2?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 2*n**2 - 8*n + 286. Let g(k) = -2*k. Calculate g(i(j)).\nAnswer: -4*j**2 + 16*j - 572","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1029) + -1*sqrt(1029))\/sqrt(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 20489*u**2 - 574505*u + 594993 = 0. Calculate u.\nAnswer: -29, 1, 20517","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -48. Solve 3*b + 3 = m*b for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 4583442, 9166882, 13750322?\n\"Answer: 4583440*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 61 - 33. Let v(h) = 8*h + j - 2*h - 28. Let k(c) = 5*c**2. Calculate v(k(x)).\nAnswer: 30*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/3 - 10444*j**2\/3 + 6718096*j\/3 - 1049195840\/3.\nAnswer: -(j - 308)**2*(j + 11060)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-3)\/(-2)*32\/12. Suppose b = s*b - 42. Suppose 17*i = b*i + 3. Is -1\/4 at least i?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7696605?\nAnswer: 3, 5, 7, 23, 3187","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (9\/(-27))\/((-2)\/(-18)). Let n(y) = -y + 6. Let f be n(0). What is the tens digit of ((-246)\/(-8))\/(f*x\/(-48))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24 by 1.\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 g, 1 r, and 1 x when three letters picked without replacement from {e: 1, f: 2, x: 2, r: 1, j: 1, g: 1}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 867, 1761, 2689, 3651, 4647, 5677?\n\"Answer: 17*a**2 + 843*a + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(2 - (-2)\/(-4)). Suppose l*n + 3*v = -3*n + 26, 8 = 4*v. Suppose -a - 3 = 0, 4*z + n*a + 8 = -0. Solve 2*s - 5 = -z for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = 23581*c - 188665. Give l(8).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -638, -636, -634, -632, -630, -628?\n\"Answer: 2*t - 640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -8878*w**2 - 15965*w**2 - 11506*w**2 - 2556*w**2 - 13*w + 24. Let x be j(8). Round x to the nearest 100000.\nAnswer: -2500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 2*s + 3 = -17, 2*b + 4*s = -16. Is b less than or equal to -6?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.21 (b) 2\/9 (c) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2*h = -6*h + 196, -2*h = d - 62. What is the greatest common divisor of 180 and d?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3.087 + -0.147. Let c = 0.06 + h. Let l = -3.1 + c. Sort l, 2, 2\/5 in ascending order.\nAnswer: l, 2\/5, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 4, 4, 16, 46, 100, 184, 304?\n\"Answer: j**3 - 7*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -158 - 4*q**2 + 158.\nAnswer: -4*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 201 - 198. Solve -3*t = -g*k + 24, 20 + 10 = 3*k - 5*t for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -44065 - -2?\nAnswer: -44063","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 523525 to the nearest integer?\nAnswer: 724","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.044545484 times -0.4?\nAnswer: 0.0178181936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = -6, -7*o - 4*w = -2*o + 22. What is the units digit of (-11)\/o - (-9)\/18?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = -2763*d - 32528. Calculate f(-10).\nAnswer: -4898","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3 - (8 + (8 - (13 - 2)))) + 9?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34 = -4*z + 5*r, -6*r + 28 = -3*z - r. Let c be (-32)\/(-12) - 2\/z. Solve 0 = c*p + 3*x - 9, 2*x - 5 = 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 59401?\nAnswer: 191, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q = 5*h + 17, -4*q - 74 + 42 = 0. Sort 7, h, 2, 5, -10 in descending order.\nAnswer: 7, 5, 2, h, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qwqwwqqqqqqqwq. Give prob of picking 1 w and 1 q.\nAnswer: 40\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 32 and 224.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(936) - sqrt(936))\/(-3*(sqrt(2) - sqrt(50))).\nAnswer: -3*sqrt(13)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 162, 24, -114, -252?\n\"Answer: -138*i + 300","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*sqrt(2)*5*-1.\nAnswer: 20*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*1*(1 + sqrt(2299) + (sqrt(2299)*3 + 4)**2 + sqrt(2299) - (0 + ((sqrt(2299) - sqrt(2299)*3)*5)**2)).\nAnswer: -1255152 + 1716*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -8, -98, -260, -494, -800?\nAnswer: -1178","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1.2 (b) -0.7 (c) 2199722\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8908150809?\nAnswer: 3, 113, 26277731","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1267*c - 602 = -1310*c for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/66612 and -157\/10248.\nAnswer: 133224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of a**3*m + 43571868*a**3 - a*m + 683640*m - 3 wrt m.\nAnswer: a**3 - a + 683640","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.024781 to 4 decimal places.\nAnswer: 0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0 + 3. Suppose -3*x + 81 = 3*y, l*y - 53 = 4*x + 7. Let i = y - 4. What is the lowest common multiple of i and 18?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -4*q + 6 - 7 - 2 + 2*q**2 - 4*q**2. Let g be c(-3). Let f(s) = -s - 13. Give f(g).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22382597?\nAnswer: 41, 545917","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_test"},"subset":"dm_maths"} +{"text":"Question: Let y be 12\/(-8)*4\/(-3). Suppose 3*u = 0, -y*u + 40 = 2*r - 3*u. What is the lowest common multiple of 2 and r?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -244 + -4116?\nAnswer: -4363","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27 = -4*y + 3*y. Let v = -19 - y. Let u = v - -4. 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: Put -2, 0, 1415, 11, -39, -4, 5 in decreasing order.\nAnswer: 1415, 11, 5, 0, -2, -4, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -1\/4, -994\/31, 3, -0.1, 5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 0\/(-2) + (-726)\/(-27). Let l = w + -827\/36. Calculate the common denominator of l and ((-15)\/8)\/(108\/(-48)).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36 - -2) + (8 - (19 + -16 + 11)).\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*(sqrt(119) - -4*sqrt(119)) - sqrt(119))\/(sqrt(343) + sqrt(343)*-4).\nAnswer: 16*sqrt(17)\/21","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 1 = 17\/6791?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = -0*g + g. Suppose 0 = -g*d + 4*d + 14. Suppose 3*v = 47 + d. What is the remainder when v is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*f + f + 0*f)*(-7*f + 4*f + f) + (0*f**2 - 4*f**2 + 5*f**2)*(-2 + 1 + 0) + (0 - 130 - 20)*(2*f + 5 - 5)*(0 + 0 + 2*f) as q*f + a + o*f**2 and give o.\nAnswer: -597","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = m - 1. Let i be q(3). Is i\/(-7) - 606\/(-14) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68861 - 66583 = 2887*i + 230351 for i.\nAnswer: -79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -107154? (a) -3 (b) 5 (c) 4 (d) -4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/3 and 47\/52.\nAnswer: 156","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 30 + -34 - (1 - 0)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -2*x**2 + 78*x = 0.\nAnswer: 0, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 30*i**2 + 2. Let n(j) = 2*j**2 - 1. Let q(g) = -4*n(g) - p(g). Let f(u) = -39*u**2 + 3. Let m(t) = 2*f(t) - 3*q(t). Let v(o) = o**2. What is v(m(w))?\nAnswer: 1296*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 12*k + 13 + k**3 - 18 + 5*k - 4*k - 10*k**2. Let p be s(9). Solve -3*y = -5*j - p, -3*j - 11 - 2 = y for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = -s. Let i(k) be the second derivative of -k**4\/12 + 36*k. Give c(i(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -103 + 175 + (-35 - (-14 - -6)).\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**2. Let j(z) be the second derivative of -z**3\/6 - z**2\/2 + 3*z. Let n be j(-3). Let c(s) = 3*s**2 - n*s**2 + 0*s**2 + 4*s**2. Determine q(c(k)).\nAnswer: 25*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 5 = 1. Let m(r) = -12*r. Let n(k) = k. Suppose 0 = 4*u - 5*i + 11, 4*i = -2*u + 2*i + 8. Let z(h) = u*m(h) + 10*n(h). Determine z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*o = -15, 0*x + 5*x + 85 = 3*o. Let f = x - -16. Let q = 52 + f. What is the units digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 28 + -14. Let j = -14 + y. Is -2\/13 at least as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1959\/(3 + 6\/(-3)). Suppose 2*p + 3*k + 789 = -w, k + 4136 = -3*p. Round p to the nearest 100.\nAnswer: -1400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (1\/3)\/((-76)\/6). Which is smaller: k or 0?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 245, 2\/5, 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*q**6 + 24992*q**4 + 2*q**2 + q - 4 wrt q?\nAnswer: 240*q**3 + 599808*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 276455 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(147) + -5 + 2 + sqrt(147))**2*-3 - (((sqrt(297) + (sqrt(297) - (sqrt(297) + 1*sqrt(297) - sqrt(297))))\/sqrt(11))\/(sqrt(288)\/sqrt(2)))**2.\nAnswer: -28659\/16 + 252*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25*r**2 - 497 + 497)*(3*r**2 - 2*r**2 - 5*r**2).\nAnswer: -100*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3 (b) 21312 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/(-14) + 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 9213, 0.2, 1, 1\/18, 1\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1139*w**3 + 290*w**2 + 865092*w wrt w.\nAnswer: -6834*w + 580","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is (87 - 7) + -1*(5 + -2) a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (228\/(-456))\/(((-5)\/(120\/9))\/3). Determine n, given that 105\/8*n**2 + 49\/8*n - 343\/4 + 19\/8*n**3 + 1\/8*n**p = 0.\nAnswer: -7, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 20602 + -1112543\/54. Calculate the common denominator of c and (-10)\/225*(-530)\/24.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = -18*y - 28. Let h be l(13). What is h rounded to the nearest ten?\nAnswer: -260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4042, 7725, 11410, 15097?\nAnswer: 18786","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -742 + 1991. What are the prime factors of x?\nAnswer: 1249","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 17\/8 (b) -1\/4 (c) -9\/5 (d) 379 (e) -4 (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*407\/370*-5?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-2 - 1) + (7 - -1)\/(-2). Let b be a\/(1 + 0)*(-24)\/42. List the prime factors of 467\/b + (-3)\/(-12).\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(n) be the first derivative of -8*n**3\/3 - 5*n**2\/2 - 11. What is the second derivative of j(s) wrt s?\nAnswer: -16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -10*((4\/(-8))\/1)\/1. Suppose n*r = 1 + 9. Suppose -2*b + 3*b - 3 = 0, -95 = -r*u - 5*b. What is the tens digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_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 z(q) = -6*q**3 - 2*q**2 - q. Let a(c) = -5*c**3 - 3*c**2. Let f(l) = 2*a(l) - 3*z(l). Find the second derivative of f(i) wrt i.\nAnswer: 48*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = o**3 + 9*o**2 + o - 11. Calculate b(-9).\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 284?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c. Let b(p) = 15 + 5*p + 20*p**2 + p + 9*p. Let q(w) = 5*w**2 + 4*w + 4. Let r(n) = 4*b(n) - 15*q(n). Calculate u(r(x)).\nAnswer: -5*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -52 + 470*j**2 - 46 - 2*j - 478*j**2 to the form i + s*j**2 + t*j and give i.\nAnswer: -98","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 152 - 3208182.\nAnswer: -3208030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/11, 0.1, 2\/7, -0.4 in descending order.\nAnswer: 2\/7, 0.1, -0.4, -6\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6543 or -0.79?\nAnswer: -6543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 20 in 1, 1\/2, -12\/19?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (sqrt(125))**2*-5 + (sqrt(80)*-4)**2 + sqrt(80) + 0.\nAnswer: 4*sqrt(5) + 660","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1 - -5. Suppose m*x - x - 510 = 0. Is 31 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 + 372 + 6\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1*(sqrt(25)\/(sqrt(10)\/(sqrt(20)\/sqrt(10)))*2)**2*-5.\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 100000000100001010 (base 2) in base 8?\nAnswer: 400412","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/234 and 10\/(-28)*(1850\/180 - -8) + 5?\nAnswer: 468","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 5*v - 27, -4*y + 8 + 17 = 3*v. Suppose 0 = -3*x - 4*m + 33, -v*x - 3*m - 39 = -5*x. Let g(f) = -2 + x - f + 4*f - f. Give g(-9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) be the second derivative of 0*x**5 + 0*x**3 - 8*x + 13\/3*x**4 + 2 + 0*x**2 + 1\/3*x**6. What is the third derivative of w(i) wrt i?\nAnswer: 240*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 35899?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2 = -5*w. Suppose 2*l = -2*g + 20 - 6, -5*l = w*g - 26. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(50)*3)**2.\nAnswer: 30*sqrt(2) + 451","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1137?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rbd when three letters picked without replacement from {x: 5, d: 2, b: 1, w: 8, r: 2}.\nAnswer: 1\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k**0)**(-1\/7))**(2\/69) assuming k is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 2718924 less than or equal to 2718924?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17618 is divided by 3519?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 8, r: 4, u: 5}. Give prob of sequence rr.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence sxx when three letters picked without replacement from {x: 7, s: 2}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - 2*p + 13. What is the remainder when 49 is divided by r(0)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/18)\/(434\/558).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 109 * -3\nAnswer: -327","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -a (base 12) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j + 4. Let p be k(0). Suppose -p*z = z - 170. Suppose -z = -4*w - 4*f + 5*f, 6 = 2*w + 5*f. Calculate the greatest common factor of 88 and w.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.0139 rounded to 1 decimal place?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*g**2 - 3 - 19*g**2 + 3.\nAnswer: -12*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451962 and 84.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(39) - 1*sqrt(117)\/sqrt(3) - 2*sqrt(1911))\/((sqrt(297)*-1)\/(2*sqrt(704))).\nAnswer: 224*sqrt(13)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 240 - 141. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2190 divided by 730.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-1\/21)*o*(o*o**(-35))\/o*(o*o\/(o\/(o**(12\/11)*o))*o)**(-32))**48 assuming o is positive.\nAnswer: o**(-609680\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -7*c**2 + 15*c + 5. Determine u(7).\nAnswer: -233","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 121, 235, 321, 367, 361?\nAnswer: 291","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -9751480 rounded to the nearest 10000?\nAnswer: -9750000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/(-2) - (-38 + 7). Suppose -3*j = -40 - s. Let q(u) = 69*u**2 + 1. Calculate the remainder when q(-1) is divided by j.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = c**3 + 8*c**2 - 12*c - 9. Does 4 divide b(-9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 9428, 9427, 9426, 9425, 9424, 9423?\n\"Answer: -r + 9429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -3926, -3926, -3930, -3938, -3950, -3966, -3986?\nAnswer: -4010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*(r**0\/r)\/r)**(1\/13)\/((r**(-8\/5)\/r*r)\/r*r*r**(-2\/13)) assuming r is positive.\nAnswer: r**(109\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*m**2 + 23*m**2 + 5*m**3 - 17*m**3 + 2*m**3 + 16*m**2.\nAnswer: -10*m**3 + 41*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -2*g**2 - 8*g + 2. Let z be m(-4). Solve -3*n = -5*r + 16, -4*r - 3*n = -z*n - 6 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 53842 and 738.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {x: 1, t: 1, p: 1, w: 2}. What is prob of sequence xt?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-38)\/2 - 5904\/(-328).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -275 (base 8) in base 13?\nAnswer: -117","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (61 - 58) + 2 + 0 + 0.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 7 + 5 = 0, -4*i + 142 = 2*n. What is the remainder when i is divided by 12?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 minus -0.52?\nAnswer: -4.48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 82720 and 19160240?\nAnswer: 880","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -3 - -7*(1 - 0). Find the first derivative of n + 4*n + 2 - b wrt n.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6*2\/(-18))\/(2\/(-18))?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-8))\/2*(-3)\/(-15)?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 9 + -3 + -1 + -3. Solve -5*b - 3 = 2*p - 0, 2*b = -t for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -53519 + 131358. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 4 = -2*u, 5*t = 4*u + t + 8. Let g be u\/13 + (-1139)\/(-221). Let o(v) = -2*v**2 + v**3 - 1 - 2*v**2 + 3*v - 5*v**2 + g*v**2. Calculate o(2).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -383457, -383337, -383217, -383097?\n\"Answer: 120*h - 383577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 4) to base 2\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 221 and 15795.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-10)\/25 + 126\/15. Factor 7*b + 5*b**4 - 20*b**3 - 20 + 5*b + 15*b**2 + y*b.\nAnswer: 5*(b - 2)**2*(b - 1)*(b + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) be the first derivative of 4*h**5\/5 + 4*h**4 + 20*h**3\/3 + 4*h**2 - 73. Factor q(r).\nAnswer: 4*r*(r + 1)**2*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -346.01*-4\nAnswer: 1384.04","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 0*v + 12 - 5 - 5*v**2 + 4*v**2 + v. Let o(r) = 85814 - r - 85815 + 0*r. Give -o(c) - w(c).\nAnswer: c**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 12855 to the nearest integer?\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1183, 2366, 3549, 4732, 5915?\nAnswer: 7098","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = n**3 + 45*n**2 - 84*n + 147. Is x(-46) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*p + 127*p + 488*p**2.\nAnswer: 488*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 594 (b) -3 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 8.366698 millennia?\nAnswer: 83.66698","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aagaaaaaaaaaaaaaaga. Give prob of sequence gg.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = 3*j**3 + 174*j**2 + 181*j + 52. What is y(-57)?\nAnswer: -518","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3a (base 16) to base 12.\nAnswer: -4a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 39253, 157615, 355083, 631657?\n\"Answer: 39553*b**2 - 297*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = -s**3 - 5*s**2 + 2*s + 28. What is the remainder when 60 is divided by t(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 435994 to the nearest integer?\nAnswer: 660","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is one twentieth of a milligram in micrograms?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 282, 280, 276, 270, 262?\nAnswer: 252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 181\/(12670\/(-600))*(-2)\/4?\nAnswer: 30\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1802353 is divided by 58118?\nAnswer: 695","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -226855, -453712, -680569, -907426?\nAnswer: -1134283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84)\/sqrt(3))**2 + -2.\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 780 - 776. Which is the nearest to 1? (a) -2\/5 (b) i (c) -0.2 (d) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 169 = -11*t - 289 for t.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/1650680 and 1\/412670.\nAnswer: 1650680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1824 is divided by 33?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4639034 is divided by 185560.\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -8\/33533? (a) 0.1 (b) -2\/5 (c) -3\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1867, 3227, 4597, 5983, 7391, 8827?\nAnswer: 10297","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 83388 and 4020?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1265 a factor of 13419120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4*d + 6*d + d + (-13*d - 15*d - 15*d)*(4 - 6 + 5))*(3*d + 1 + 3*d - 5*d) in the form h*d**2 + o*d + t and give h.\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*q + 406 - 182 - 149)*(-q + q + q**3 + q**3 + 0*q**3 + 0*q**3 + 2*q**3 + 2*q**2 - 2*q**2 + (-2*q**3 - q + q)*(0 + 0 - 2) + 1 + q**3 - 1).\nAnswer: 27*q**4 + 675*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 10914 to the power of 1\/3, to the nearest integer?\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Work out 58.464 * -391.\nAnswer: -22859.424","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = -3 + 10*b**2 - 40*b**2 + 12*b**2 + 2*b + 14*b**2 + b. Let j(y) = 20*y**2 - 16*y + 16. Give -3*j(g) - 16*q(g).\nAnswer: 4*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.69 - 0.31. Which is the closest to 2\/3? (a) x (b) -0.4 (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f**2\/6 - 1488440*f - 8930642\/3 = 0. What is f?\nAnswer: -2, 8930642","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 2526.33621 rounded to 1 decimal place?\nAnswer: 2526.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 117*k + 105*k - 204*k.\nAnswer: 18*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -124*l**2. Let s(o) = 5*o. Determine s(d(g)).\nAnswer: -620*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.04 - -0.04. Let w = d + -1. Let n = -1 + -2. Sort -2, n, w in decreasing order.\nAnswer: w, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 + 121024343?\nAnswer: 121024411","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 5952337*z**4 + z**3 + 41497947.\nAnswer: 23809348*z**3 + 3*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 31416*o**2*p**3 - 13*o**2*p - 1023*o**2 - 2*o - 22 wrt p?\nAnswer: 94248*o**2*p**2 - 13*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(x) = -64*x**2 + 6*x - 6. Let b(y) = -117*y**2 + 11*y - 11. Let u(f) = 6*b(f) - 11*o(f). Let l(a) = -825*a. Give u(l(i)).\nAnswer: 1361250*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 800 - 800. What is the closest to -6 in w, 2.5, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -12 - -9. Let y be -15 + (-1 - -10)\/h. Is (-4018)\/y + (-8)\/36 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, 0, 0.141.\nAnswer: 0, 0.141, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t = 12*t - 15*t - 26, -41*t = 2*r + 24*t - 19*t + 1200 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 38951802 and 36?\nAnswer: 77903604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (7*c - c**2 - 7*c)*(-1 - 3 + 2 + (-1 - 1 + 3)*(2 - 5 + 2)).\nAnswer: 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 1\/19, 15\/2, 0.3, 2\/5, 2334?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 4707443040 to the nearest integer?\nAnswer: 1676","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -5*w + 924. Let s(h) = -9*h + 1839. What is -5*b(a) + 3*s(a)?\nAnswer: -2*a + 897","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.2 + -1.2. Let i = -383 - -378.64. Let h = -3.96 - i. What is the nearest to 1 in h, b, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, 3687, 439, -3 in decreasing order.\nAnswer: 3687, 439, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 3\/13? (a) -5 (b) 0.1 (c) 2 (d) -2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/3174336 and 71\/1002.\nAnswer: 3174336","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m**3 - 7*m**2 + 9*m - 20. What is s(6)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 26 in -5, -0.4, -1\/7, -2?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*l - 4*h - 1046 + 503 = 0, 0 = -4*h + 8 for l.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(7)*1*6 - (sqrt(7) + sqrt(343) + (sqrt(343) - (2 + sqrt(343)))).\nAnswer: -2*sqrt(7) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 176000 rounded to the nearest one hundred thousand?\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 4913*i**2 - 4186?\nAnswer: 9826*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1354.6 - -1354.6005533. What is y rounded to five dps?\nAnswer: 0.00055","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w - 1 = -z, 1 = 4*w + z - 6. Suppose 2*s = -w*s. Let j(n) = n - n + n + s. Let l(i) = -3*i**2. Give l(j(x)).\nAnswer: -3*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 77 minutes before 1:52 AM?\nAnswer: 12:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 688 minutes before 12:59 AM?\nAnswer: 1:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from miywbiz. Give prob of sequence my.\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*i**2 - 324645*i.\nAnswer: 3*i*(i - 108215)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 25165227 to the nearest integer?\nAnswer: 5016","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -2163*z**3 - 7*z**2 - 18*z - 3. Is p(-4) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {w: 2, c: 1, d: 3, s: 9, b: 3}. What is prob of sequence scdw?\nAnswer: 1\/1360","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 7 = -5*i. Let b = 56.4 - 49. Let h = b - 7.4. What is the smallest value in -5, i, h?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(m) = -2*m**3 - 6*m**2 - m - 2. Give k(-2).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 378 - 381. Which is the closest to 0? (a) -6 (b) 0.3 (c) 0.01 (d) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 44970 + -24033. Does 21 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**3 + 5*x**2 - 5*x + 1. Let m be a(4). Suppose q + 1 = 4. Let g(k) = 2*k - 1. Let i(y) = -17 + 34 - 18 + y. Determine m*g(f) + q*i(f).\nAnswer: -3*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b**2\/19 + 388*b\/19 - 774982\/19 = 0. What is b?\nAnswer: -727, 533","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 48 and 1744.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -4.79 - -4.69. Which is the third smallest value? (a) f (b) 1\/4 (c) 2\/5 (d) 1\/404\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (58\/3)\/((-20)\/(-90)). Let h be 2 - 3 - v\/(-3). Suppose -7 = 3*p - h. What is the second biggest value in -5\/2, p, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 240*h - 243*h + 18 = 0. Solve -20 = f + 4*x, -h*x + x - 20 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -7 (b) 5.58 (c) -0.35 (d) 0.084\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -79\/2455227 and 37\/57159.\nAnswer: 537694713","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 21 + -10. Let h = m + -10.9999965. What is h rounded to 6 dps?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 123018?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = 3*b + o, 0*b - 5*o - 19 = 2*b. Let u(m) = m**2 + m + 2. What is the tens digit of u(b)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 170170 and 1009239.\nAnswer: 1309","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w and 1 t when two letters picked without replacement from {t: 4, w: 1, a: 1, b: 4}.\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/4? (a) 6\/349 (b) 21 (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 8601602 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xndinnnhinnxxn. Give prob of sequence hi.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2 - 1 + 4)*(32*s - 537*s + 5 + 43*s + 115 - 14) to the form q*s + y and give q.\nAnswer: -462","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 155 and 5?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1000 and 80.\nAnswer: 2000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 8239351 to the power of 1\/6, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -9 divided by -8251.\nAnswer: 9\/8251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*(-9)\/24)\/(2\/(-8))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5250\/(-1250) - (-57)\/(-15).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1859*q**3 - q**2 - 1 + 0 + 1876*q**3 - 3889*q**3 + q**2.\nAnswer: -154*q**3 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 24674 - -7?\nAnswer: 24682","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 35211.\nAnswer: 3, 11, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -8005 divided by -5\nAnswer: 1601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 4 = 2*b - 5*z, -z = -b + 1. Suppose 8*g - g - 2898 = b. Suppose -2*l = -0*l - g. What are the prime factors of l?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 113\/50 and 39\/2884430.\nAnswer: 14422150","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u + 3*j = -0*j + 27, 105 = 5*u - 5*j. What is the units digit of (u\/12)\/((-6)\/(-20))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25 = -z - 4*a, 3*a - 258 + 210 = -3*z for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -1101, -2684, -6987, -15372, -29201, -49836, -78639, -116972?\n\"Answer: -227*h**3 + 2*h**2 - 876","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -10982, -16047, -21112, -26177?\n\"Answer: -5065*l - 5917","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 63577, 63631, 63721, 63847?\nAnswer: 64009","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 833340767?\nAnswer: 7, 119048681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 112*j - 425 - 44*j - 1297 - 5*j**3 wrt j.\nAnswer: -15*j**2 + 68","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -s**3 + 3061016*s**2 + 28009705 with respect to s.\nAnswer: -3*s**2 + 6122032*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 783 - 813 = 6*m. Sort m, 5, 2, -62.\nAnswer: -62, m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*r = 10*r + 30. Which is the nearest to r? (a) -0.3 (b) -2\/13 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -246 + 248. Suppose o*m - 10*m = -360. What is the greatest common divisor of m and 81?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 9133650 and 6975?\nAnswer: 225","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pjj when three letters picked without replacement from {j: 2, p: 11, c: 7}?\nAnswer: 11\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d + 20 = 4*c, -2*c - 2*c + 20 = -5*d. Suppose d = -h - 39 + 49. Let s be 3 + 26\/(-10) + 66\/h. What is the greatest common factor of 28 and s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 6\/7, -59816.87?\nAnswer: 6\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 - 5*i**2 + 4*i + 5. Suppose -3*l - 4*n - 28 = -l, -5*n - 50 = 4*l. Let h be ((16\/l)\/4)\/((-15)\/150). Determine x(h).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 5*q = 18, -5*g + 3 = 5*q - 17. Suppose 4*a - 2*a - 234 = -5*w, 100 = g*w + 4*a. List the prime factors of w.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-d + 3*d - d)*(-2*d**2 - 4*d**2 + 4*d**2) + 43*d - d**3 + 2*d**2 + 33*d - 75*d.\nAnswer: -3*d**3 + 2*d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(u) = 6*u**3 - 11*u**2 - 14*u - 2. Let a(p) be the third derivative of -p**6\/60 + p**5\/15 + 5*p**4\/24 + p**3\/6 + 250*p**2. What is -11*a(c) - 4*k(c)?\nAnswer: -2*c**3 + c - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 1 - 4 + 3 - 3 - 2 + (6 - 3 - 2)*(-1 - 2 + 2) - 2 - 1 + 2 - 527 + 476 - 405)*(-2*u + 2 - 2).\nAnswer: 922*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.6, 7, -4, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o*o\/(o\/(o\/o**(3\/2)))))*o**(-7)\/o)\/((o\/o**(-9))\/(o**3*o*o*o)) assuming o is positive.\nAnswer: o**(-23\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-1))**(-1\/10)*m**(-6)*m**(-2)*m)**(-34) assuming m is positive.\nAnswer: m**(1173\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 (base 6) to base 16\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put together -23 and 0.2356.\nAnswer: -22.7644","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8436836 is divided by 40?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -110501*n + 378705*n + 399051*n + 144937*n.\nAnswer: 812192*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 - 36. Let j = -15 - o. What are the prime factors of j?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x - 13. Let v be l(11). Put v, 4, -1 in increasing order.\nAnswer: v, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.9 times 15.4538\nAnswer: -13.90842","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - 10\/12 - (-166797)\/(-1031814).\nAnswer: 2\/399","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 113\/4 - -81\/4. Find the common denominator of 93\/22 and p.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (((-7350)\/70)\/(-315))\/((-159)\/18)\nAnswer: -2\/53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 270*z - 72 = 258*z for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 3 - 3 = 0. Let l(a) = a**2 + 7*a + 9. Let j be l(d). Suppose 0 = 5*h + 2*g - 53, j*h - 51 = -2*h - 4*g. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*c + n - 14, -2*c + 5*n = -c - 10 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 608 and 9166892.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 0\/(12\/3) + 1*4. Suppose -2*u - q*f = 2*u, 5*f = 5*u - 20. Let r(b) = 3*b + 1. Calculate r(u).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*x**4 + x**4 - 2*x**4 + (-54*x**2 + 62*x**2 + 143*x**2)*(3*x - x**2 - 3*x) to s*x + u*x**4 + l*x**3 + t*x**2 + q and give u.\nAnswer: -150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 12\/11 - 59\/44. Let z = -108 + 649\/6. What is the closest to b in 5, z, 3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 71613, 72001, 72391, 72783, 73177, 73573, 73971?\nAnswer: 74371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 25\/2*n**3 - 1\/4*n**5 + 45\/2*n**2 - 69\/4 - 21\/4*n**4 - 49\/4*n = 0.\nAnswer: -23, -1, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**3 - x. Let n(w) = w**3 + 1. Let q(s) = -2*s**3 + s**2 + s + 2. Let u(y) = -2*n(y) + q(y). Give -3*a(h) - u(h).\nAnswer: h**3 - h**2 + 2*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -7.065 - -6.995. Let n = 39\/110 - -1\/22. Which is smaller: n or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 37*a - 101. Let s be y(10). Let h = s + -251. What is the remainder when 375 is divided by h?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 - 8. Suppose 0 = -3*p - 5 + n. Let a(y) be the second derivative of 2*y**5\/5 + y**4\/12 + y. Give a(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 2\/3*(-60)\/(-8). Suppose -v*m + 24 = -16. Let c(j) = 8*j + 128. Let l be c(-14). What is the highest common divisor of l and m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 4078 and 2?\nAnswer: 8156","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 63 minutes before 8:36 PM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 15 + -23. Let d = 8.09 + f. Let y = 0.09539 + 6.90461. Put y, -1\/2, d in increasing order.\nAnswer: -1\/2, d, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38662, -148581, -331780, -588259, -918018, -1321057, -1797376?\nAnswer: -2346975","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 106*o - 4*c = 96*o + 10, 4*c = o + 17 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 233 divide 276459395?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 3 - 11. Let g be (6\/r)\/((-2)\/(-20)). Let h = -9 - g. Is 6 a factor of h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 PM and 10:43 PM?\nAnswer: 599","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -11*j**3 + 4*j**2 - 4*j + 6. Let p(u) = -12*u**3 + 3*u**2 - 3*u + 6. Let b(y) = 3*a(y) - 4*p(y). What is the first derivative of b(n) wrt n?\nAnswer: 45*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 85, 106, 131, 160, 193?\nAnswer: 230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -300 + -21231233213?\nAnswer: -21231300113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5 - -1 - -5)\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1349881 (base 13) to base 16.\nAnswer: 5cb702","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7 = -p - 3. Suppose 2*y - g - 26 - 13 = 0, -5*g + 85 = 4*y. Let u = p + y. Is u a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express q - 3*q + q + (2 - 2 - 2*q)*(5 + 0 - 4) - 3*q + 0*q + q + 2 - 2 + 2*q as j + p*q and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 14 - 14 - -7 - (2 + 0)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) be the second derivative of -h**5\/4 + 5*h**4\/12 + h**3\/6 - 15*h**2\/2 - h + 36. Let p be j(3). Let x = p + 102. Is x at most as big as 4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -c - 0*c - 3. Let z(y) = 4. Let q(b) = -b - 4. Let r(t) = c*q(t) - 4*z(t). Calculate r(3).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwxwwwwwxxxwxw. What is prob of picking 3 x?\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 38 + 130 = 4*r, 0 = -4*c. Calculate the remainder when 43 is divided by r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7211?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 0, -3.\nAnswer: -4, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3\/7*n**2 + 1161\/7*n + 0 = 0. Calculate n.\nAnswer: 0, 387","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5601.657m in nanometers?\nAnswer: 5601657000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, 182, 381, 578, 773, 966?\nAnswer: 1157","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -663 + -1107?\nAnswer: -1770","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*r - 6 = 3*h + 3*r, -1641 = 4*r - 1629. Let f = -14\/13 - -68\/39. Which is the nearest to 1? (a) -4\/7 (b) h (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 160 divided by -16.\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2 + 6 - 3)*(13*r**2 - 16*r**2 - 7*r**2).\nAnswer: -10*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3471 is divided by 56?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) be the third derivative of -m**9\/72 - m**5\/12 - 7*m**2. Find the third derivative of o(l) wrt l.\nAnswer: -840*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -0.3 + -0.7. Let u = i - 1. Suppose 2*t - 20 = 4*w, -4*w + 0*t - 20 = 4*t. Which is the nearest to u? (a) w (b) -0.5 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -89 - 375*z**3 - 201*z**3 + 595*z**3 - 205*z**3 - 36 + 2*z**4 wrt z.\nAnswer: 8*z**3 - 558*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6580*q**2 - 6*q + 6586*q**2 + 11*q + 6565*q**2 - 26087*q**2 + 6600*q**2.\nAnswer: 244*q**2 + 5*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -38*n - 90. Let s(y) = -1177*y - 2805. Let j(b) = 187*p(b) - 6*s(b). Let o(g) = 4*g. Give j(o(m)).\nAnswer: -176*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 151565 (base 9) to base 4.\nAnswer: 112231313","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 206192 divided by -112.\nAnswer: -1841","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -c - -cb87?\nAnswer: cb78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put 1559, -6485, -23 in descending order.\nAnswer: 1559, -23, -6485","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -171617, -171616, -171615, -171614, -171613?\nAnswer: -171612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8391966?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -84, -229, -426, -675, -976, -1329?\nAnswer: -1734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify y*y\/y**(-3)*y*y*y\/y**(-21)*y**(-11)*y*y\/y**(-8\/3) assuming y is positive.\nAnswer: y**(68\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: ((-105)\/42)\/(((-5)\/2)\/(-5))\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 381 - 261. Let w(g) = 4*g**2 + 10*g + 1. Calculate the remainder when o is divided by w(-4).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 - 1 = -y + 2*h, 0 = -3*y + 4*h - 15 for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 68471954?\nAnswer: 2, 17, 823, 2447","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine y, given that -y**2\/4 - 19*y\/2 = 0.\nAnswer: -38, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x - x - x - 3)*(0 - 6 + 1)*(-x**4 + x**4 - 3*x**4).\nAnswer: -45*x**5 - 45*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) = -4*a**3 + 2*a**2 - a. Let b(p) = -p**2 + 14*p - 28. Let f be b(11). Suppose 3*h - f = -2. Give u(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14620 by -5.\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 351 or 322?\nAnswer: 351","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/8 in 6, -0.5, 0.4, -1, 14?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -308*f*l**5*r - f*l**5 + 2*f*l**2*r - 3*f*l**2 + 15*f*l*r wrt l?\nAnswer: -18480*f*l**2*r - 60*f*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 = -4*f - d, -f + 5*d - 71 = 8*d. Is -46 greater than f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 148800, 297599, 446398, 595197?\n\"Answer: 148799*q + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1151056 divided by -1.\nAnswer: -1151056","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -18.88 + -11.88. Let z = 103.37 + s. Let i = z - 73. Round i to one decimal place.\nAnswer: -0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (38*z**2 - 38*z**2 + 6*z**2 + 29*z)*(1 - 5 + 2)*(2 + 0 + 0)*(0 + 2 - 1) as o*z**2 + n*z + y and give n.\nAnswer: -116","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tteeete. What is prob of picking 3 t and 1 e?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 1283*o + 0 + 1272*o + 81*o**2)*(-2*o**2 + 2*o**2 - o**2) as f + k*o**4 + n*o**2 + y*o**3 + a*o and give y.\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 32*s - 8. Let r(f) = -11*f + 3. Determine -3*q(p) - 8*r(p).\nAnswer: -8*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1252 by -11.\nAnswer: 1252\/11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.2 (b) -5 (c) -43 (d) 2\/66209 (e) 0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is three tenths of a micrometer in nanometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -z - 1 + 13. Suppose 5*v - 5 = 3*a + 2, 4*v + 4*a - z = 0. Solve 13 = j + 3*y + 3, v*j - 17 = -5*y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 594, 715, 834, 951, 1066, 1179?\n\"Answer: -k**2 + 124*k + 471","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*m**5 + m**5 + 8*m**5 + (-2 + 2 - 5*m**2)*(1 - 1 + 1)*(-3*m**3 + 4*m**3 - 3*m**3).\nAnswer: 19*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the third derivative of w**5\/180 + 97*w**4\/18 + 43*w**3\/2 + 2*w**2 + 41*w + 4. Let f(q) = 0. What is q?\nAnswer: -387, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 448?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n**2 + 8*n + 9. Let y be r(-7). What is the second derivative of 4*b - 20*b**y + 19*b**2 - 2*b wrt b?\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o**2 - 3023584*o - 33259666 = 0. Calculate o.\nAnswer: -11, 1511803","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**3 - 28668714*h**2 - 57337437*h - 28668720.\nAnswer: 3*(h - 9556240)*(h + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -u**3 - 8*u**2 + 10*u - 10. Let f be r(-9). Let t = f - -22. Let q be (t - (1 + 10)) + 4. Are -4 and q equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) be the third derivative of -x**5\/10 + 1189*x**4\/18 - 176*x**3\/3 + 462*x**2 - 2*x. Solve l(v) = 0 for v.\nAnswer: 2\/9, 264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.31 less than 0.15?\nAnswer: 8.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -132809664*a**2 + 31035*a + 865?\nAnswer: -265619328","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -25\/8 and 181\/50850.\nAnswer: 203400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 3*j*r**2 + 10*j*r + 79*j + 6*r - 6 wrt r.\nAnswer: 6*j*r + 10*j + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1\/4 in 3, 0.5, 0.13?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) -6 (b) -0.083 (c) -4 (d) -29\/2 (e) -0.4 (f) -2 (g) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.05332*-70\nAnswer: 3.7324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10*3\/6 + 0. What is the third smallest value in 0.2, r, 2\/5?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/104 and -53\/12220.\nAnswer: 24440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -ab (base 12) to base 8\nAnswer: -203","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 1.48 * 0.5\nAnswer: 0.74","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 2600.7 + -2666. Which is bigger: p or 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -337450, -337451, -337452, -337453?\nAnswer: -337454","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 32 and 15508.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p + 2. Let o be v(-2). Let t(b) = -2*b**3 - 18*b**2 - 16*b - 1. Let z be t(-8). Calculate the common denominator of 117\/20 and o - ((-73)\/34 - z).\nAnswer: 340","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0, 3\/7, -64\/61?\nAnswer: -64\/61","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 3088, 6142, 9208, 12292, 15400, 18538, 21712, 24928?\nAnswer: 28192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) be the second derivative of 7*h**7\/3 - 224*h**6\/15 - 204*h**5\/5 - 96*h**4\/7 + 144*h**3\/7 - h + 221. Determine o so that l(o) = 0.\nAnswer: -6\/7, 0, 2\/7, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 197 + 1650. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/(u\/(u\/((u**(-1)*u)\/u))))**(31\/4)*(u*u\/u**(1\/4)*u)**(-2\/51) assuming u is positive.\nAnswer: u**(785\/51)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -v + 9. Let m be y(7). Which is the closest to 0.2? (a) -5 (b) m (c) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) be the third derivative of 8*b**7\/105 + 53*b**5\/20 - 99*b**2. Let y(g) = -g**4. Let h(x) = c(x) + 5*y(x). Find the third derivative of h(p) wrt p.\nAnswer: 264*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 5\/((-15)\/(-18)) - (0 - -2). Let z be (-82)\/24 - (-3)\/(-12). Let s = z - -41\/12. What is the closest to -1 in -0.3, b, s?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x - 10 = 0, 4 = k + 3*x - 4. Let m = 6 + k. Which is the second biggest value? (a) 0.1 (b) m (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 466848.9 milliseconds in nanoseconds?\nAnswer: 466848900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -1188.732342+0.5\nAnswer: -1188.232342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -169 + 175. What is the closest to -1 in s, 0.06, 5?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -185, 0.4 in decreasing order.\nAnswer: 2, 0.4, 0, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 0, -5, -16, -33, -56, -85?\n\"Answer: -3*z**2 + 4*z - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -n**3 + 2*n**2 + n + 1. Let x be s(2). Suppose -u - u - 6 = r, 12 = -x*u. List the prime factors of (r*-1 + -2)*-1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8200088665 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-20)\/78*(-1)\/(-5). Which is smaller: -1 or g?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(z) be the third derivative of -z**5\/60 + 7*z**4\/24 - z**3\/3 + 4*z**2. Let y be n(6). Solve 4*j - h + 8 = -5*h, -j + h = -y for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -60781\/3 - -20261. Find f such that 4\/9 - 2\/3*f - 2\/9*f**2 - 2\/9*f**4 + k*f**3 = 0.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = -c**2 + c + 14. Let m(i) = -2*i + 16. Let s be m(8). What is the remainder when 55 is divided by t(s)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 133 - 68. Suppose 4*b - a + 17 = 0. Calculate the lowest common multiple of b and (-2)\/(-5) + (-136)\/(-10).\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 333, 677, 1021, 1365?\n\"Answer: 344*r - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 3*y. Let r be -5 + 1 - (16 - 19). Let v be (-18 - 2)\/(r\/1). Let z(t) = 24*t - 16*t - v*t. Give z(j(g)).\nAnswer: -36*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 3983033 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -140 + 53?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 7:46 PM?\nAnswer: 432","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((24\/(-84))\/((-2)\/28))\/(6\/(-21))?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-2)\/(-13) + (-280)\/130. List the prime factors of (-3)\/x + (-1705)\/(-22).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-2)\/5 - (-34)\/(-15). Suppose -12 = -v + 4*v. Is h at most as big as v?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ggpg when four letters picked without replacement from {x: 13, g: 2, p: 5}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 414, 402, 390, 378, 366?\n\"Answer: -12*w + 426","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 23? (a) 0 (b) 3 (c) -14\/9 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1172801 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = h - 1. Let i be (-6)\/(-4) - 6\/12. Let b = 2 - -4. Let r(j) = -j**2 - 5*j + 6. Give b*m(f) + i*r(f).\nAnswer: -f**2 + f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, 3, -4, 8, -5 in ascending order.\nAnswer: -5, -4, 3, 4, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -3*h**2 + 60*h + 63. Let u be b(21). Suppose 0*m - 4*m - 8 = 0. What is the biggest value in 5, u, m, -0.3?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 134, 212, 290?\n\"Answer: 78*i + 56","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 12415921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(n) be the third derivative of -n**4\/24 + n**3\/6 + 27*n**2. Let b(k) = 14*k - 7. Let h(c) = b(c) + 7*w(c). Let f(j) = -j**2. Calculate h(f(p)).\nAnswer: -7*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -7.11 - -7.41. What is the closest to 1\/3 in s, 0.2, 10?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*p**2 - 4*p + 4*p + (p - 3*p + 0*p)*(-5*p - 93*p + 265*p) - 6*p**2 + 2*p**2 + 2*p**2 to o*p**2 + a + v*p and give o.\nAnswer: -334","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -4*g**2 - 390*g - 576. Let b be z(-96). Sort -25, b, -12.\nAnswer: -25, -12, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3788 + 1615 + 1879)*(0 - d + 0) to the form z*d + f and give z.\nAnswer: 294","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*p - 14 + 28 = 0. What is the smallest common multiple of p and 29?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 2*b**2*u**4 - 12964*b**2 + 5683*b*u**4 wrt u?\nAnswer: 8*b**2*u**3 + 22732*b*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 620646?\nAnswer: 2, 3, 13, 73, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 100\/12 - (8 + 0)\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -101101001100 (base 2) to base 15.\nAnswer: -ccc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -g + 1. Let t be f(-1). Let h(c) = -2*c**2 + 7*c**2 - t*c**2. Let l(a) = -5*a + a + 5*a. Calculate h(l(o)).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 16673 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 0*k + k - 16 = 0, -t = 5*k + 4. Let g = t - -2. Solve -3*l = -g*l - 5 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2\/7 (b) -2\/17 (c) -250 (d) -0.23 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-f**4 + 6*f**4 - 4*f**4)*(-4 + 38 - 12) - 4*f**4 + 2*f**4 + 0*f**4 + 5*f**4 + f**4 + 8*f**4.\nAnswer: 34*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 80446427?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1188 and 3740.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 132715837?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - 2 - 7 = 0. Suppose -1645 = -c*q - 4*q. Is q a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (q**(-2\/7))**(-4)*q**(1\/7)\/q*(q**(-3)\/q*q)\/q*((q**(-2\/3))**(2\/21))**(10\/11) assuming q is positive.\nAnswer: q**(-2614\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*g + n = -10, -4*g + 0*n + 4*n + 24 = 0. Suppose 2*l - 5*d - 56 = 0, g*d - 38 = -3*l - 2*d. What is the least common multiple of 20 and l?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 125\/62664888 and 103\/280488?\nAnswer: 1817281752","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -64, -325, -898, -1897, -3436, -5629?\nAnswer: -8590","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*s + 23 + 1. Let m(x) = 4*x**2 - 6*x + 6. Let h be m(3). What is the highest common divisor of h and s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 - 2*t + 5. Suppose 9*j - 288 = -324. What is h(j)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 7.4 - 8. Let w = 2.4 - p. Let b = w + -2.99999936. Round b to 7 decimal places.\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of 3*r**2 + 3*r + 3. Let d(c) = -732. Let q(b) = -733. Let l(p) = d(p) - q(p). Give k(y) - 2*l(y).\nAnswer: 6*y + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 88815115 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -3*l**3 + 2*l**2 + 6*l - 11. Let d be m(3). Let w = d + 59. Solve -20 = 5*b, -3*b = w*t + 5 + 22 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -737, -746, -763, -788?\nAnswer: -821","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13.41 + -0.11. Let x = 610750.099878 + -610763.4. Let k = x + v. What is k rounded to five decimal places?\nAnswer: -0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -12*b + 349. Let z be x(29). What is the nearest to 0.1 in z, -1, 0, 15?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = -2*g + 1. Let x(m) = -6*m - 16. Let l(d) = 6*c(d) - x(d). Let z be l(0). Solve 4 = 20*n - z*n for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*l**4 + 3*l**4 - 2*l**4 + (l**2 + l**3 - l**2)*(3*l + 2*l + 3*l))*(-4*l + 4*l - 2*l).\nAnswer: -2*l**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 30 = 2*k - 2*h - h, 3*k - 62 = -4*h. Suppose 4*v - 2*q - k = 0, v - 3*q + 23 = 5*v. Let s(d) = -d**3 + 4*d**2 + 7*d. Give s(v).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is two ninths of a week in minutes?\nAnswer: 2240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 530 minutes after 1:13 AM?\nAnswer: 10:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1\/((-2)\/(4\/2)). Let x be 0 - -2 - (-1 - o). Suppose 0 = -x*g + 16 + 12. What is the remainder when g is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 440 + (1 - -3) + 0 and 15.\nAnswer: 2220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -v - v + 8 = 0. Let c be (-4 - (-96)\/20)*(-25)\/10. Let x(d) = -d**3 + 2*d**2 + 16*d + 23. Let w be x(c). Solve -w*s + v*s = -12 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -8.77122864 - 58057?\nAnswer: -58065.77122864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 370183?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 6.457 + 0.093. Let a = -57.65 + s. What is a rounded to the nearest 10?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 14\/3 or 2\/927?\nAnswer: 14\/3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3404*k + 1155*k - 570 = -1137*k - 1131*k for k.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -43 + 39 - (0 - 0 - -11)\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vmvmvvmvs. What is prob of sequence sm?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -x**3 + x**2 + x + 5. Let z be j(0). Solve 5*o + z = 5*p, -3*p - 34 + 7 = 3*o for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 47*c**2. Let z(r) = -6*r**2. Give s(z(j)).\nAnswer: 1692*j**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r - 3 = -r for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 99\/39700 and -101\/150860.\nAnswer: 754300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 207714799 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + -4 + -1 + 0 + 1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve d**5 + 60652*d**4\/5 + 29097*d**3 - 123722*d**2 - 198904*d - 291072\/5 = 0 for d.\nAnswer: -12128, -4, -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 560449.3*-2\nAnswer: -1120898.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 934 is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -233\/42 + 35\/6. Let n be 3\/11*((-70)\/(-15))\/(-7). Which is the nearest to d? (a) 0 (b) 0.2 (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 45487863 and 1985.\nAnswer: 397","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 192 - 42*a**3 + 747*a - 746*a - 192.\nAnswer: -42*a**3 + a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5\/8)\/n*n**(-15))**13 assuming n is positive.\nAnswer: n**(-1729\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = 3*p**2 + 2*p - 21. Let r be z(6). What is the highest common divisor of 11 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -708\/1603 - -3\/229. Let l = -1.3 - -1. Let v = -0.5 - l. Which is the third smallest value? (a) 1\/3 (b) v (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 215 and 33?\nAnswer: 7095","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u(o) = o + 12. Let r be u(-17). What is the smallest value in r, 0.4, 1\/3?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 16*(-3)\/15 - 60\/75. Let s be (-10)\/(-3) - (-4)\/6. Suppose -2*n = -4*r - 5 - 9, 5*r + 11 = -s*n. Put z, n, 2 in ascending order.\nAnswer: z, n, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 176085 by -3.\nAnswer: -58695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be ((-10)\/15)\/(-2*1). Which is smaller: -2\/5 or r?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-7620)\/16 + -1 - (-2)\/8. Let y = c - -2004. Is y prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -3 + (3 - 1) - -11. Let p be ((-5)\/(-2))\/((-5)\/r). Is p smaller than -7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 1680, 0.356?\nAnswer: 0.356","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 5\/36 + -107\/252. Let g = -27 - -35. What is the nearest to l in -0.5, g, 1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -b = 3*c + b + 23, -4*c = -3*b + 8. Let f(z) = -z**3 + 7*z**2 - 4*z - 6. Let v be f(6). What are the prime factors of (v\/c)\/(6\/(-20))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2927 + -20449\/7. What is the common denominator of 69\/8 and q?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 108\/5*c**2 - 768\/5*c - 2\/5*c**3 - 4096.\nAnswer: -2*(c - 32)**2*(c + 10)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.1, 0.3, 3\/7, 2\/13, -50 in decreasing order.\nAnswer: 3\/7, 0.3, 2\/13, 0.1, -50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = -y - 1. Let s be w(-5). Suppose 5*v - s = 11. Solve v*h + 2*h = 0 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-8 - (3 + -2))*(-1 - 5620\/15). Which is bigger: 6763\/2 or w?\nAnswer: 6763\/2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -2*p**2 + 4 + 3*p + 4*p**2 - 3*p**2. Let y = 42 + -25. Suppose 5 = -4*g + y. What is d(g)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -11, -329, -51?\nAnswer: -329","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -51 + 66 - (14 - 1)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x + 12 - 2 - 7 = 0. Which is the closest to -3\/2? (a) x (b) 0.3 (c) 37\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -533? (a) 1.3 (b) 2\/5 (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:57 AM and 5:33 PM?\nAnswer: 396","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 5 = 10. Solve 0 = 3*t - 2*t - n for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l = 21*l - 1224. Which is smaller: l or 65?\nAnswer: 65","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 5*k + 2. Let i be v(-1). Which is the closest to 0? (a) i (b) -1 (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 391, 385, 379, 373?\n\"Answer: -6*j + 397","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 34058 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**5\/(g\/g**(-5))*g**4*g\/(g*g**(-1\/29)))**(-3\/2))**(10\/9) assuming g is positive.\nAnswer: g**(-440\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y + 5*h - 5 = 0, -3*y - 21 = -8*h + 11*h for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 + 2*s - s**2 - 74998 + 5*s**3 + 5*s**2 + 74992. Let x(b) = -5*b**3 - 6*b**2 - 2*b + 6. Calculate -6*c(m) - 5*x(m).\nAnswer: -5*m**3 - 2*m + 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 88353688 to the power of 1\/6, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 2\/(-3)*6\/4. Let v be 4 + 1 - (0 - n). Suppose a + v + 7 = -4*x, -10 = 2*x. What is the highest common factor of 36 and a?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**4\/5 - 296*o**3\/5 - 3796*o**2\/5 + 12432*o - 35280.\nAnswer: -4*(o - 5)**2*(o + 42)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 121044 is divided by 10085.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.66 - 0.14. Let z = d - -0.5. Let g = -34 + 30. Which is the closest to z? (a) 2 (b) 3\/7 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 2305921000?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: ((-6885)\/255)\/((-2)\/6*-9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 3\/7, 3\/2, 0.0625, 573?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/25 of a micrometer in nanometers?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.29 - 55.71. Let y = u - -46. Let m = -8 - y. What is the nearest to -1 in -5, m, -0.7?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -4. Which is the closest to 1? (a) q (b) -0.01 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (-22)\/(-6) - 14\/21. Suppose u*n + 15 = -2*n. What are the prime factors of -3 + 46\/(n + 5)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 74 is divided by 25?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 318959.1g?\nAnswer: 318959100000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 3262 - 2128. What is the hundreds digit of u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 2932 + -2934. Let i(t) = 2*t**3 + 2*t**2 - t - 4. Calculate i(x).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -10*x - 1. Let c be (-123)\/(-4) + 1 + 15\/60. Let o = c + -36. What is the units digit of k(o)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/((f*f**(28\/9))\/f))\/f**31 assuming f is positive.\nAnswer: f**(-298\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(t) = 75*t + 1422. Let w be b(-19). Let x(j) = -4*j**2 - j. Calculate x(w).\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*u**2 - u**2 - 5*u**5 - 2*u**2 wrt u.\nAnswer: -300*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3\/(-2) - (-6)\/(-36)) + 375\/(-45)?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 21d + 33395?\nAnswer: 335b3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -46387.0150105 + 46387. Let l = z + 0.015. Round l to six decimal places.\nAnswer: -0.000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 425*j - 858*j = -466*j - 792 for j.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.55 + -4.55. What is the nearest to -2 in 2\/13, w, 3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-80299*h + 80300*h - 6*h**2 - 5*h**2)*(6 - 18 + 9).\nAnswer: 33*h**2 - 3*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 20925368 and 1.\nAnswer: 20925368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 637 a factor of 2488759?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 34.36 - -3368?\nAnswer: 3402.36","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*w + 291 = 34*w - 593 for w.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 4*v - 7*v**4 - 20*v**4 - v**4 + v**2 + v**2 + v wrt v.\nAnswer: -672*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 2638562?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -30837, -61724, -92611, -123498, -154385, -185272?\nAnswer: -216159","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(-1 + ((-1 + sqrt(1331))*5 - -2*sqrt(1331)*6 - 5*(0 + sqrt(1331) - sqrt(1331))*-2)))**2.\nAnswer: -35904*sqrt(11) + 6155120","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 462 - 262. What is the tens digit of t?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -493*f**3 + 21*f**2 - 7*f + 159. Let q(h) = -164*h**3 + 6*h**2 - 2*h + 53. Let n(t) = 6*b(t) - 21*q(t). Differentiate n(l) wrt l.\nAnswer: 1458*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*c**4 + 22*c**2 + 14*c**3 + 10*c + 8*c**4 - 2*c**4 - c**4 = 0 for c.\nAnswer: -5, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 8 - 6. Let d be (-6)\/3 + s + -1. Let p = 26 + -105\/4. Is d equal to p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.02, 1178, 2, 22\/31?\nAnswer: 22\/31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 - 0.026568?\nAnswer: -2.026568","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*t**3 - t**3 - 5*t**3)*(3 + 6 + 2) + 0*t**3 - 3*t**3 + 2*t**3 - 3*t**3 + 14 - 14 + (-3*t**2 + 3*t**2 - t**3)*(-4 + 4 + 2) + 2*t**2 + t**3 - 2*t**2.\nAnswer: -38*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 700 divide 616159247?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1296 divided by 18?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-456)\/(-280) - 30\/25. What is the third biggest value in -4, 0.5, t?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -20 take away -12838145?\nAnswer: 12838125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = -2*o - 39. Suppose 5*z = -4*s - 128 + 39, -26 = 2*z + 4*s. Let y be v(z). Solve 5*b + 2*m - 8 = 9, 7 = y*b - 2*m for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 d when two letters picked without replacement from kwwwkrrdwr?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 2 + -37381079?\nAnswer: -37381077","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 8679194551 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**8*k**3)\/(k**(-1)\/(k**(-3)\/k)) assuming k is positive.\nAnswer: k**8","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 16 and 7.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) -0.5 (b) 0.3 (c) 1 (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1407562046 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14 = -7*x + 5*x. Is 804\/x + (-2)\/(-14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -30 + 29 - (4 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Product of -10.727 and 2.\nAnswer: -21.454","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 262956*f + 442. Let t(u) = 4781*u + 8. Let m(j) = 4*p(j) - 221*t(j). Let v(l) = -2*l**2. Give v(m(i)).\nAnswer: -45639458*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*-1*sqrt(720).\nAnswer: 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 1537778 divided by -2\nAnswer: -768889","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h - 25. Let k(a) = 2*a + 49. Let s(n) = -7*f(n) - 3*k(n). Let r be (216\/28)\/(-3)*14\/3. What is the remainder when 30 is divided by s(r)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 12*a**2 + 28 - 4*a**2 - 7*a**2 - 52 + 24.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 0*f. Let o = 70 + -66. Solve 2*b - o + 2 = f for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (61*v**2 + 67*v**2 - 184*v**2)*(1 + 3*v - 3*v - 2*v).\nAnswer: 112*v**3 - 56*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s - 10*s + 75. Let l(c) = -3*c - 1. Let p(k) = 4*k. Let d(t) = s*l(t) + 4*p(t). Calculate d(5).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 7\/2 of a microgram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -73*j + 213*j - 700 = 0 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 6 - 16 = 0. Let h be 6\/(-3)*11\/x. Let u(b) = 2*b**2 - 23*b - 15. Let o(a) = a**2 - 12*a - 8. Let y(c) = h*o(c) - 6*u(c). What is y(6)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 921 = 7*u - 325. Suppose -q - 11*l + 9*l = -1, -4*q + 4*l + 52 = 0. What is the remainder when u is divided by q?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 8618?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhqrmmmhhqm. Give prob of picking 2 q.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 48841 is divided by 1013.\nAnswer: 217","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 1\/2 (b) 2\/43 (c) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 6 - 9 + 3 - 28*r in the form p*r + d and give p.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m(o) = 21*o. Let s(q) = 17*q**2 - 55912. Give s(m(b)).\nAnswer: 7497*b**2 - 55912","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 85661333 to the nearest integer?\nAnswer: 9255","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-24)\/(-9) + 10\/(-15). Let c = 6 - w. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + (-1 + sqrt(17))*-6 + sqrt(17).\nAnswer: -5*sqrt(17) + 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-2)\/10*(-2835)\/(-189).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1.2+-0.07111\nAnswer: -1.27111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -218 = -5*b - 3*v, 2*b = -3*v + 21 + 59. Suppose b = 3*p + 7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -60 (b) 0.5 (c) -6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 187 and 1177?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14611?\nAnswer: 19, 769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:47 PM and 2:56 AM?\nAnswer: 669","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 - 2*z**2 + z)*(10*z - 24 + 24).\nAnswer: -20*z**3 + 10*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 10*d + 2. Let w(h) = 42*h + 35. Determine 6*t(c) - w(c).\nAnswer: 18*c - 23","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.593 + 0.093. Suppose 4*a = 8*a. Let y = 4 - 3. What is the closest to y in -22, n, a?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 23.10689 to 0 decimal places.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -31 = -35*n + 4 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (1 + 1)*2*8. Suppose 4*a - 4*x = -3*x - 54, 0 = 4*x - 8. Let h = z + a. Calculate the highest common factor of h and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g - 2*i - 1 = 0, -14 = -3*g - 3*i - 5. What is the first derivative of -12*r**3 + 5*r - 2*r**3 - 7 - g*r + 0*r**3 wrt r?\nAnswer: -42*r**2 - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(468) + -2)*-6*6 + 1*(1 + sqrt(468))*-5))**2.\nAnswer: -1186704*sqrt(13) + 28483092","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1861671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) be the second derivative of b**5\/120 - b**4\/8 + 5*b**3\/3 - 2*b. Let o(m) be the second derivative of d(m). Calculate o(-6).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -5*i**4 - 19*i**4 + 4*i**4 + 19*i**2 - 5*i**4 wrt i.\nAnswer: -600*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 656099800 to the nearest one hundred thousand.\nAnswer: 656100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32 + 10132?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vuuuuuuuvuuuvuuuuuvu. What is prob of sequence vu?\nAnswer: 16\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (15\/((-2040)\/(-238)) - 1\/(-4))*1\/52\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -22 - -29. Calculate the remainder when ((1204\/16)\/y)\/((-2)\/(-8)) is divided by 12.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 289, 303, 335, 391, 477, 599, 763, 975?\n\"Answer: q**3 + 3*q**2 - 2*q + 287","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y**3 + 50*y**2 + 142*y + 128. Is t(-51) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -1447148, -1447135, -1447108, -1447061, -1446988, -1446883, -1446740?\n\"Answer: a**3 + a**2 + 3*a - 1447153","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(x) = x**3 - 11*x**2 + 11*x - 13. Let n be s(10). Let z = 33 - 14. Let f = z + n. Solve t - f = 5*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25577971 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 s when four letters picked without replacement from sssss?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 31 - 16701624?\nAnswer: -16701583","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is a in -16*a**5 - 172*a**4 + 444*a**3 - 308*a**2 + 52*a = 0?\nAnswer: -13, 0, 1\/4, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times -11.861?\nAnswer: 11.861","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (-576)\/320*6325\/(-165)?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*w**2 + 2 - 2.\nAnswer: -2*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 25104?\nAnswer: 2, 3, 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 14\/(-4) + (-19)\/(5 - 119).\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -29*f - 39*f + 41*f + 297 for f.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -151 + 155. Let r(t) = t**2 + 9*t + 9. Let w be r(-8). Sort o, w, -2, -3 in descending order.\nAnswer: o, w, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 110 minutes after 3:36 PM?\nAnswer: 5:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -33641*j - 12489*j - 13837*j.\nAnswer: -59967*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-3)\/(-6))\/((-1)\/18). Let n = 2631 - 2636. Sort n, -1, -2, s in ascending order.\nAnswer: s, n, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3610228 by -134.\nAnswer: 26942","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8076742.\nAnswer: 2, 607, 6653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n = 828 + 669. Let b = 3094 + n. Is b prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 6 - (49\/(-343) + (-646)\/(-112)). Factor 1\/8*q**2 - p - 1\/4*q.\nAnswer: (q - 3)*(q + 1)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 507683 and 935?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1\/43 - -40\/129. Let z be 16\/(-112) + (-160)\/7. Let w = z - -19. Which is the third smallest value? (a) 3 (b) m (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 722356095.\nAnswer: 3, 5, 17, 223, 12703","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) be the first derivative of k**3\/3 - 2*k**2 - 4*k + 1354. Let j(v) = -v**2 + v + 1. Calculate -4*j(n) - x(n).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*l - 2*l + 5*l)*(0*l**3 - 3*l**3 + l**3) - 65*l**4 - 40*l**4 + 53*l**4 to r*l**3 + k*l + s + f*l**4 + m*l**2 and give f.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 1 + -1 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 118 + -118. Suppose 0*u - 5*u + 4*b + 34 = q, -3*u - b = -34. Let f be ((-48)\/(-8))\/((-6)\/4). Put u, f, 1 in ascending order.\nAnswer: f, 1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 803941 is divided by 803772?\nAnswer: 169","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((j\/(j*j*j**9*j))\/((j\/((j\/j**(-4\/3))\/j))\/j))\/(j*j**2*j)**(2\/15))\/((j**(-1\/10)*j**(7\/3))\/(j**0*j**(-1\/14))) assuming j is positive.\nAnswer: j**(-1313\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*h - v - 4*v = 20, 0 = 5*v for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c\/(c**(3\/5)\/c)*c**(-20) assuming c is positive.\nAnswer: c**(-93\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 668643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6*(-6)\/12 - (-9 - -2). Sort t, 35, 5, -3 in descending order.\nAnswer: 35, 5, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 104989823 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3 = -9*s + 57. What is the lowest common multiple of s and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 140422 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**4\/((a**8*a)\/a*a)*a**0*(a\/(a*a*a*a*a\/(a\/a**(-4))))\/a*((a\/a**(-2\/3))\/a*a\/a**(2\/7)*a)\/(a**(2\/9)\/a**(-2)) assuming a is positive.\nAnswer: a**(-305\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 51\nAnswer: -2\/51","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32650.\nAnswer: 2, 5, 653","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 404 minutes before 6:16 AM?\nAnswer: 11:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2 and 218.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*p + 116 = 2*a, -106 = -2*p + 4*a - a. What is the least common multiple of 6 and (23\/46)\/(1\/p)?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 775 - 772. Solve -r = -0*r, -2*n = -k*r + 2 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oeu when three letters picked without replacement from {u: 8, e: 4, o: 1}.\nAnswer: 8\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*i - 2*r = 3*r, 2*r = 5*i. Suppose i*u + u - 2 = 3*v, -2*v - 7 = 5*u. Let l(k) = -k**2 - k + 4. Let g be l(-3). Which is smaller: v or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -t + 7. Let v = 13 - t. Let p(z) = z**2 - 6*z - 2. Let x be p(v). Sort x, -5, 3 in descending order.\nAnswer: x, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*f - 80, -4*f + 6*f = 5*l + 308. What is the tens digit of (2\/(-5))\/(2\/l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -14757*t - 7*t**2 - 6*t**2 + 14711*t as n + h*t + c*t**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -5631 + -430?\nAnswer: -6261","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -633.6 + 634. What is the closest to 2\/3 in 2, -0.5, k, -1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uv when two letters picked without replacement from ubbbbuusfsuusuusov.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is -4 - (-7502)\/6 - (-2)\/3 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, -3, -63, 4276, -33 in increasing order.\nAnswer: -63, -33, -3, 0, 4276","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 1606.273mg?\nAnswer: 1606273000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 295 + -14453\/49. Are o and -1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = 10*b**3 + b**2 + b - 1. Let v be z(1). Suppose 4*h - v = 3*l, -6*h = -2*l - 2*h - 6. Let w = l + 10. Calculate the remainder when 8 is divided by w.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 23\/(1\/(-3) - 2\/(-4)). Let r = 4 + 1. Calculate the remainder when p\/8 - (1\/4 - 0) is divided by r.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = n**2 + 7*n - 13. Suppose 9 = -q - 3*a, 8*a - 9 = q + 3*a. What is the units digit of g(q)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s + 181 = 2*c, -5*s + 0*s + 289 = -3*c. Suppose -57*q - 50 = -s*q. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/57 (b) 12.77 (c) 107\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1372 a multiple of 105?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42 = 4*v + 5*s - 28, 3*s = -2*v + 36. What is the third smallest value in v, 1\/4, 0.05?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -592180 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: -2 + -3 + (-132 - (-13 - 94))\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 45197424 and 159?\nAnswer: 2395463472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 3887*z. Let l(b) = 2*b. Calculate v(l(i)).\nAnswer: 7774*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:54 PM and 5:34 PM?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that s**2\/3 - s\/2 - 1\/3 = 0.\nAnswer: -1\/2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(z) = -10*z**3 - 7*z**2 + 2. Let o(a) = -12*a**3 - 7*a**2 + 3. Give -6*f(n) + 4*o(n).\nAnswer: 12*n**3 + 14*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - 85. Let l = -127.999874 - w. What is l rounded to 5 dps?\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(a) be the first derivative of -723*a**7\/7 - 3*a**5\/5 + 395*a**3 + 188. Find the third derivative of u(l) wrt l.\nAnswer: -86760*l**3 - 72*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-6*-3*sqrt(136) - sqrt(136)) + sqrt(136))\/(-2*(sqrt(8) - -2*sqrt(8))))**2.\nAnswer: 153","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -734 - 722 + 2183 + 1506*c - 729 + (1 - 4 - 3)*(c + 0*c - 3*c) to the form n + x*c and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-4*(4*sqrt(960) - sqrt(960) - sqrt(960)))\/(sqrt(192)*-1 - -6*(sqrt(60)\/sqrt(5) - sqrt(12))))**2*-3.\nAnswer: -960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -86 divided by 29\nAnswer: -86\/29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -18*((-20616)\/936 - -22).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 115034?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1650978*v**4 - 3291717*v?\nAnswer: 19811736*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u + 22 = 5*m + 7, -5*m + 15 = u. Suppose 5*f - 998 = -4*d, -m*d - 5*f + 294 + 452 = 0. Suppose z + d = 4*z. Is 14 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-4) - (-1 + 3 + 2 - (-2260)\/80)\nAnswer: -32","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*r + 3*x + 5 = 0, -4*r - 5*x - 11 = -0*x for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 4, 2, 1\/2, 13?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 98 + -174. Let h = b - -328. Let r = h + -169. List the prime factors of r.\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:09 AM and 10:52 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (0 + 2 - 6) + 1. Let o be x*(-2 - 8\/(-3)). Which is the biggest value? (a) -5 (b) 3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 8 + -5. Let p be 3\/(6\/8) - 0. Let g be (1 + 1 - p) + -2. Put g, 5, j in decreasing order.\nAnswer: 5, j, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (1\/(-3))\/(6\/(-4176))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -10 - -14. Let g be (-2)\/m + (-10)\/(-4). Suppose -4*a = -g*p - 2*p + 44, -3*a - 57 = -5*p. What are the prime factors of p?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = n**3 - 5*n**2 - 2*n + 19. Let u be h(5). Let v = 63 + -69. Put v, u, -1 in ascending order.\nAnswer: v, -1, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -6 - -7 - 31*1. Let v be (-4)\/(-6)*69 - (26 + -30). Let l = v + d. 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 u(n) = n**3 + 16*n**2 + 62*n + 37. Give u(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(r) = -2*r + 6. Let y be q(5). Let n = y - -6. Sort -1, n, 3 in ascending order.\nAnswer: -1, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -30681758 or -30681756?\nAnswer: -30681756","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify z**5*z*z*z**14 assuming z is positive.\nAnswer: z**21","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) 4 (b) -1.3 (c) -3 (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 5*y - 58143 = 0, -18*y + 25 = -23*y. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 84359 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 33821 and 155?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 4922 and 506360594?\nAnswer: 4922","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 2*b**2 - 11*b - 4. Let p be q(3). Let w(m) = -74153*m + 93. Let z be w(p). Round z to the nearest one hundred thousand.\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q when three letters picked without replacement from qqqqqqqqqq.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**0\/(i*i**6\/i)*(i*i\/(i\/i**(-15)))\/(i**(-10\/7)*i))**(1\/35) assuming i is positive.\nAnswer: i**(-137\/245)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + -2. Let o be 1\/3 - g\/3. Suppose h = -o*h + 4. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -152.20001441 - -152.2. What is w rounded to five dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.054 times -268\nAnswer: 14.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence nn when two letters picked without replacement from nvnmnvmnnnvnvn?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (15*m + 2 - 2)*(m - 4*m + 2*m + (-2*m + 6*m - m)*(0 + 3 + 0)) to the form y*m + i + k*m**2 and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:30 AM and 1:06 PM?\nAnswer: 636","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -151\/877440 and 7\/73120.\nAnswer: 877440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-six fifths of a centimeter in micrometers?\nAnswer: 52000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that 5*n**3 - 2845535*n**2 - 5691085*n - 2845545 = 0.\nAnswer: -1, 569109","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 19887935 to the power of 1\/2, to the nearest integer?\nAnswer: 4460","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 28 + (14 - (-34 + 75))\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence dk when two letters picked without replacement from ikkddbdd.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**2\/2 + 2738*h - 16446.\nAnswer: (h - 6)*(h + 5482)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -d**5\/60 - d**4\/8 + 4*d**3\/3 - 3*d**2. Let a be q(0). Solve -3*p = -4*z - z - 22, -2*p = -a for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dmdpddp. What is prob of sequence mddd?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*z + 2*g - 4*g = 10, -5*g + 25 = 0 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 6*c = -12. Suppose 4*j = -j + c*j. Let f = 1 - 0. Solve g + j = f for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 192316073 * 0.2.\nAnswer: 38463214.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4 + 20212c?\nAnswer: 202128","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 + -904?\nAnswer: -909","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*w - 0*y + 4*y + 26, 3*w - 14 = y. Suppose 2*p = -2*g + 10, -4*p - 4 = -5*g + w. Solve -2*t - 2*n + 16 = 0, n = -2*t - p*n + 20 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 2743854030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 178 - 420*u - 535*u - 178 - 855*u as n*u + r and give n.\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 14 + -10. Let m(l) = -292*l**2 - 3 + k + 288*l**2. Calculate m(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 521 divide 84294674?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 3068930467 to the power of 1\/7, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 632875893?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -7*t + 219. Give q(14).\nAnswer: 121","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n + 1 - 1 + (6 - 3 - 4)*(0*n + 3*n - n))*(0*n + 0*n - n**4).\nAnswer: 3*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 353745203 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1948 * -0.05466.\nAnswer: 106.47768","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-56)\/(-42))\/(688\/228 + -3). Suppose b + 5*a = s, 5*b - 3*a = -8*a + 380. Calculate the remainder when b is divided by 34.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 903609033?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 155 minutes before 11:46 AM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: -16146 - -0.03\nAnswer: -16145.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in seven halves of a gram?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -16*c - c**2 + 16*c + 9*c**3 to the form i*c + h*c**3 + g*c**2 + t and give t.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(396) + 2)*6 - -1*(sqrt(396) - (-1 + sqrt(396) - sqrt(396))))**2 + (-5*(4*(sqrt(396) + 1) + sqrt(396))*1)**2.\nAnswer: 7092*sqrt(11) + 267473","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wwwfwwwf. Give prob of picking 2 f.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 6\/11 (b) -720557 (c) 4 (d) -4 (e) 1\/6 (f) 3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14562 is divided by 978.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 849 and 1649520.\nAnswer: 466814160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = c**2 - c + 1. Let n(g) = 5*g**2 + 3*g - 1. Let p(v) = n(v) - 3*s(v). Calculate the remainder when p(-5) is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001354 rounded to 6 decimal places?\nAnswer: 0.000135","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 34\/1122*1\/1. What is the biggest value in 0.3, s, -0.06, -0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = p**2 + 44*p - 102. Let n be j(-50). Find the second derivative of -s - 2*s - s - 7*s + 8 + 5*s + n*s**5 wrt s.\nAnswer: 3960*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 30893.08 meters?\nAnswer: 3089308","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 258950, 2, 0, 3, 19 in descending order.\nAnswer: 258950, 19, 3, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -71530 (base 10) to base 3\nAnswer: -10122010021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) be the second derivative of -v**5\/20 - v**4\/4 - 2*v**3\/3 - v. Suppose -1440 = 310*u - 510. Calculate p(u).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5*22\/44*12\/(-5)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xipppxxigxi. Give prob of picking 1 i and 1 p.\nAnswer: 9\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/((-916)\/(-6870)*(0 - 12\/(-14))).\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3958403 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (420\/(-40))\/7*(680\/(-12))\/5\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 70798 and 234.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.03? (a) 0.24 (b) -5 (c) 1\/11 (d) 29048\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -271*q + 8669 + 2171 = 0 for q.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 0 + -11100111000000?\nAnswer: -11100111000000","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -9*p - 1. Suppose -n - 2 = 1. Let f(i) = i + 2. Let m be f(n). Give w(m).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5836143655 plus -0.06?\nAnswer: -5836143655.06","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 127*w + 202*w - 658 = 0. Solve 4*i = w*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g = 7*f - 3*f + 8, -3*f + 22 = 4*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve q = -3*h + 17, -342*q = -337*q + 4*h - 19 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q + 15 = -15. Let a be (-14)\/18 + (-6)\/q. Is 5 at most as big as a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 153 and 17?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -107\/2781470 and 113\/10013292.\nAnswer: 50066460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -140 (base 9) to base 7.\nAnswer: -225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 7) to base 13.\nAnswer: c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000273777 rounded to six dps?\nAnswer: -0.000274","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12852982 is divided by 3213244?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 71376577?\nAnswer: 97, 563, 1307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(360)*2)\/sqrt(9)*-2*-2)\/(-3*(sqrt(128) - (4*1*sqrt(128) + sqrt(128)))).\nAnswer: sqrt(5)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 133623 by 2210.\nAnswer: 133623\/2210","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 26*a - 1. Let p be d(11). Suppose 0 = 2*t - 4*m - 147 - 149, -2*t + 328 = 4*m. Let h = p - t. What is the tens digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n - 4*m + 984 = 0, -565 = -3*n - 4*m + 171. Let d = 258 - n. Solve -3*v = d + 2 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) = -t**2 + 11*t - 24. Let b be o(8). Let i be b + (-4)\/(-4)*1 + 0. Solve -2*z = 1 + i for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -2*h**2. Let y(z) be the third derivative of -z**4\/4 - 5*z**3\/2 + 2*z**2 - 31*z. Let k(c) = -5*c - 12. Let m(g) = -5*k(g) + 4*y(g). What is m(p(j))?\nAnswer: -2*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 139 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 340 - 4?\nAnswer: 336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101 - -11100100?\nAnswer: 11011111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 113490 divided by 5\nAnswer: 22698","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 36774 and 81.\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/12 and 49\/2616?\nAnswer: 2616","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*j - 2 + 5 + 0*j)*(-2*j + 6*j - 2*j).\nAnswer: 6*j**2 + 6*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34 and 105757?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3014835293?\nAnswer: 3014835293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10\/(-30)*(-27)\/(-12)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 2*n**3 + 2*n**2 - n - 2. Let s be l(1). Let m be (s + -13 + 0)*(-249)\/249. Solve 44*v = 48*v - m for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -960 divided by -240.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of (-8)\/2 + 259 + 4 + 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2801550 is divided by 52858?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -11023, -10980, -10903, -10786, -10623, -10408, -10135?\n\"Answer: g**3 + 11*g**2 + 3*g - 11038","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 21158 = 3*i, 48*y + 21150 = 53*y + 5*i. List the prime factors of y.\nAnswer: 2, 29, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = 180*y - 11365. Give s(63).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -549 + 551. Let n(o) = 0*o + 2*o**3 - 2743*o**2 - 2754*o**2 - o**3 - 14*o - 16 + 5483*o**r. Give n(15).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-18)*(-51)\/(-85)*-25. Which is the closest to 0.1? (a) -1\/9 (b) -10.4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = -10*b**2 - 12*b - 12. Let w(y) = 15*y**2 - 29*y**2 - y - 1 + 8*y**2 + 5*y**2. Calculate 5*g(q) - 60*w(q).\nAnswer: 10*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 17*i + 3. Suppose -12 + 5 = -7*z. What is the remainder when 76 is divided by g(z)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -5, 9, -373018, -0.2, 3\/4?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence unun when four letters picked without replacement from {n: 1, u: 3}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 7.214 + -42.946. Let l = -0.832 - q. Round l to the nearest 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -2*x**3 + 246*x**2 + 498*x + 250 = 0.\nAnswer: -1, 125","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -20*v**2. Let d(w) = -902*w. Calculate q(d(r)).\nAnswer: -16272080*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 369 - 189. Is x a multiple of 36?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 60255, 60543, 61023, 61695?\nAnswer: 62559","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 218083?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = -s**3 - 29*s**2 + 87*s + 809. Let x be r(-31). Let h(i) = 6*i**2 - 12*i - 4. Let f be h(-8). What is the highest common divisor of f and x?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -75 + 114. Suppose -27 - z = -3*k. What are the prime factors of k?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = -h - 1. Let b be n(-8). Let m be -3 + 0 - -1*b. Suppose -m*w - 3*p + 98 + 1 = 0, 5*w - 130 = -5*p. 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: Simplify ((sqrt(1300) + ((sqrt(1300) - 1*sqrt(1300)) + -3 - sqrt(1300)))**2 - (5*(sqrt(1300) + sqrt(1300)*-1))**2) + 2 + (sqrt(325) - (sqrt(325)*-3 + -3)).\nAnswer: 14 + 20*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be ((-6)\/9)\/((-4)\/(-18)). Let u = 5.08 - 0.08. Put 0.3, u, d in decreasing order.\nAnswer: u, 0.3, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 189*f - 716. Give g(7).\nAnswer: 607","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(1 + (-5 + -1 + sqrt(13))*-1) - ((-4 + (sqrt(468) + -2 - sqrt(468)) - sqrt(468)) + 0 + sqrt(468) + -1 + sqrt(468))**2.\nAnswer: -475 + 78*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*j - 70 + 67. Let p be j\/(-3) - 744\/(-36). Calculate the greatest common divisor of 84 and p.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 4*h**2 + 32*h + 118. Let b be g(-3). What is the greatest common factor of 8 and b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 4*z + 65, -j + 4*z + 38 = j. Suppose -j*u = -6*u - 6. Calculate the lowest common multiple of 22 and (u\/5)\/((-2)\/(-20)).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 132 a factor of (-111)\/(((-2)\/6)\/((-552)\/(-108)))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*q + 3*q + 52 = 0. Let h = 13 + 78. What is the greatest common factor of q and h?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6816\/180 + 2\/15. Let s = 177 - 82. What is the highest common divisor of s and r?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 12 + 14*i + i + 1 + 13*i.\nAnswer: 28*i - 11","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -97 + -7?\nAnswer: -a0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from {z: 5, n: 8}?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put together -3.226 and 62096579083.\nAnswer: 62096579079.774","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 3777 - 1996. List the prime factors of 0 + 0 + 8 + m.\nAnswer: 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -26 (base 13) to base 14\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2144232 rounded to the nearest 100000?\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0 and -572.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) be the first derivative of -19\/2*y**2 - 33 - 19*y. Differentiate x(a) with respect to a.\nAnswer: -19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.02? (a) 0.96 (b) -2\/7 (c) 2 (d) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((3*o - 8*o + 3*o)*(1 - 1 - 2*o**2) + 5*o**3 - o**3 + 5*o**3)*(-1 + 4 - 4).\nAnswer: -13*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 3 + 16. Suppose 5*n - 27 = -0*h - 4*h, -h = 5*n - 33. Calculate the remainder when b is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 + 10*c**2 - 9*c - 1. Let q be j(-11). Let b = q + 49. What is the units digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 182 = 2*l + 16*p, -7*l + 10*l + 78*p = -l + 32*p + 518 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 682122.7nm?\nAnswer: 0.0006821227","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 3615710*c**5*k**2 + 5513*c*k**2 - 339*c wrt c.\nAnswer: 72314200*c**3*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at least 2\/119949639?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + k - 24 = 0. Let q = 6 - k. Let f = q + 7. Solve f*l + 16 = -9 for l.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*w + 6*y + 39, 540 - 546 = -8*w + 6*w - y for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 7\/((-21)\/6) - -8. Let s = -115 + 114. Put -2, s, t in increasing order.\nAnswer: -2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 3798, 3877, 3940, 3981, 3994, 3973, 3912, 3805?\n\"Answer: -c**3 - 2*c**2 + 92*c + 3709","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -12 + 33030?\nAnswer: 33012","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 50 and 2750?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.02 + -0.22. Which is the biggest value? (a) -2 (b) -1\/6 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 10 = 6. Let v be w*(0 - (-12)\/(-16)). Calculate the smallest common multiple of (v\/6)\/(4\/(-32)) and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = m**2 - 20*m + 46. Let j be g(18). Solve 3*p - 2*u = 6, -10 = -2*p - 4*u + j for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -5*a - c + 31, 2*a + 5*c - 20 = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -914246435*r**3 + 586492788*r**2 wrt r.\nAnswer: -5485478610","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) be the third derivative of -f**7\/5040 - f**6\/360 - f**5\/15 - f**2. Let u(m) be the third derivative of q(m). Let o(x) = -3*x - 5. Give 2*o(v) - 5*u(v).\nAnswer: -v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hcc when three letters picked without replacement from {a: 1, c: 2, h: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1607.41 - -1531. What is v rounded to zero dps?\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = m**2 - 7*m + 32. Let j be f(14). What is the greatest common divisor of 52 and j?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*m = -663 - 8. Let n = -56 + m. Suppose r + 12 = n*r. Solve r*j = -6, -4*j + 12 = -6*s + s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - -2 - -1) + 2 + -6?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 7467784.2us in hours?\nAnswer: 0.0020743845","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 236 - 233. Solve 9 = x*f + 2*m, 3*f - 4*m - 27 = -0*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -u - 2*u = -2*i + 14, 2*u - 5*i + 24 = 0 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-5 - 0)\/30 + 119\/210. Let r = 2 + -1. Which is the fourth smallest value? (a) w (b) 5 (c) -0.5 (d) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (17*2\/3)\/(4\/6). Suppose o = -3*p + 6*o + 73, 4*o = -p + 13. Let n = p - u. Sort -2, 2, 1, n in increasing order.\nAnswer: -2, 1, 2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 27 is divided by 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + 43 - (27 + -21)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -78 - -79. Do -1\/3 and y have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*l = -25*l + 35*l. Solve l = 11*t - 8*t - 5*i + 35, 0 = -5*t + 5*i - 45 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -21 (base 4) to base 15.\nAnswer: -9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -48844 - 0.5.\nAnswer: -48844.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -983 + -5490?\nAnswer: -6253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the first derivative of y**3\/3 + 4*y**2 + 30*y + 77. Calculate the remainder when b(-11) is divided by 20.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -2*a**2 + 7*a - 7. Let m(j) = -j**3 - 2*j**2 + 6*j - 6. Give 7*m(o) - 6*s(o).\nAnswer: -7*o**3 - 2*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 3*i + 1. Let s(b) be the third derivative of 5*b**4\/8 + b**3 + 4*b**2. Determine 11*d(g) - 2*s(g).\nAnswer: 3*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 0 - 1 - 4*s)*(62*s + 49*s - 126*s).\nAnswer: 60*s**2 - 30*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((p*p*p**8*p*p*p)\/p)\/(p**(-12)*p))\/(p**(2\/67)\/(p**(-1\/30)\/p)))**16 assuming p is positive.\nAnswer: p**(352744\/1005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -b**2\/7 + 99*b\/7 + 106 = 0 for b.\nAnswer: -7, 106","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0 and 6142554861.\nAnswer: 6142554861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = -3*r + 6, 5*u - 4*r = -17. Let c = u - -3. Let p be (-28)\/6*(0 + -3). What is the highest common factor of c and p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanoseconds are there in 4.275816 weeks?\nAnswer: 2586013516800000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16318824.\nAnswer: 2, 3, 679951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 527 and 13586587?\nAnswer: 527","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: d6c (base 14) to base 15\nAnswer: bb4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -5277 less than 0.4?\nAnswer: 5277.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 less than -3827361.48984?\nAnswer: -3827359.48984","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = -6*r - 8*r - 8*r + 24*r. Let d(t) = -41*t**2. What is d(l(h))?\nAnswer: -164*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -7, -6, 3, 26, 69, 138, 239, 378?\n\"Answer: o**3 - 2*o**2 - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -c421 + b35?\nAnswer: -b7db","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (6\/(-21))\/((-2)\/14). Let a(m) = m**3 + 0*m - 2 + 2*m - m**2 - 3*m + h*m**2. Let t(w) = -w**3 - 4*w**2 - 4*w - 2. Let n be t(-2). Give a(n).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1095 and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 20*y - 254 + 114. Let b(v) = 0*v**2 + 15*v + 3 + 0*v**2 + 3*v**2. Let c(a) = 2*a**2 + 14*a + 2. Let q(n) = y*c(n) - 6*b(n). Factor q(s).\nAnswer: -4*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 + w**2 + w**2)*(w**2 - 4*w**2 + 5*w**2) - 2*w**4 + 0*w**3 + 0*w**3 + 2*w**4 - 6*w**4 + 2*w**4 + (-12*w**3 + 4*w**3 - 25*w**3)*(-4*w + w + 2*w).\nAnswer: 37*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2099 + 1509 = -22*q. Let y = q + 169. Calculate the highest common factor of 3 and y.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k - 55 = 5*p, 32*k = 98*k - 34*k - 35*k + 4*p + 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 7 + -40351a?\nAnswer: -403513","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 d and 1 l when two letters picked without replacement from jbllldbbbbjabablla?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ttgg when four letters picked without replacement from {g: 2, a: 2, t: 4}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = g**3 + 8*g**2 + 9*g + 12. Give j(-5).\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -768 + 765. Let r(b) = -b. Let a(m) = 89*m + 4. Let c(s) = -a(s) - 4*r(s). Is c(v) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -10*d - 6. Let r be i(5). Let j be (r\/(-154))\/(2\/11). Calculate the highest common factor of j and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 17 + -12 - (-130 - -141)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 852.0984 decades?\nAnswer: 8.520984","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (n**(-5)*n**3)**(-35)*(((n*n**(3\/4)*n)\/n)\/n**5)\/(n**(-2\/11)\/n**(-5\/4)) assuming n is positive.\nAnswer: n**(1445\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 74172 and 147.\nAnswer: 519204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4 = -3*l + 5*l. Let w be 10 - 6 - (1 - l). What is the derivative of 14 - 4 + w*u**3 - u**3 wrt u?\nAnswer: 12*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -45 + 138 + -96 + 45\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1617 - -1630.14. Let u = h - 0.14. Let g = u + -12. Which is the second biggest value? (a) g (b) -0.5 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.07 + 0.03. Let o = -0.236 + j. Round o to 2 decimal places.\nAnswer: -0.14","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t - 4. Let j be l(7). Suppose x - 12 = -2*g + 7*g, 2 = j*g + 4*x. Let o(f) = -f + 3. Let u be o(6). Sort 0, g, u in decreasing order.\nAnswer: 0, g, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -6904, -13814, -20732, -27652, -34568, -41474, -48364?\nAnswer: -55232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 11 + 22021?\nAnswer: 22032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 809, 1602, 2397, 3194, 3993, 4794?\nAnswer: 5597","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g + 9 = -4*s - 15, 0 = -2*s - 5*g - 18 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 11829 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**3 + 5*z**2 + 6*z + 4. Let g(d) = -4*d**2 + 28*d. Let n be g(7). Suppose n = -6*f - 19 - 5. Give t(f).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 90101.51 millilitres?\nAnswer: 90.10151","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3721*z**2\/3 + 1618818*z - 528199083.\nAnswer: -(61*z - 39807)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -4112666 + -2?\nAnswer: -4112668","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = -30*s**2 + 58 - 28*s**2 - 31*s**2 + 91*s**2. Let f(n) = -3*n + 4. Let o(x) = 8*x - 11. Let m(g) = -11*f(g) - 4*o(g). Give w(m(y)).\nAnswer: 2*y**2 + 58","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 44942521 to the power of 1\/2, to the nearest integer?\nAnswer: 6704","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -x - 12. Let n = x - 0. What are the prime factors of 155\/15 - n\/(-6)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 708931 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -187940 and -178?\nAnswer: 33453320","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -7*h**2 - 243*h + 2693. What is f(11)?\nAnswer: -827","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 828 divided by 92\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -43 - -134. Let a = 512 - 506. Suppose -i = a*i - w. Is i a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -70 - (-8 - 8) - -7 - (6 - 8).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - r = -4*f - 20, 5*f = -4*r - 25. Suppose -111*w + 108*w + 6 = r. Find the third derivative of 17*o**w - o**2 + 14*o**2 + 24*o**4 wrt o.\nAnswer: 576*o","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 23 a factor of 2486?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -0.3, 15, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 33988, 34003, 34024, 34051, 34084, 34123, 34168?\n\"Answer: 3*y**2 + 6*y + 33979","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -87450 = -275*o + 2925*o for o.\nAnswer: -33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**3 + 21*b**2 + 157*b + 135.\nAnswer: -(b - 27)*(b + 1)*(b + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f**2 + 6*f. Suppose -4*l = -2*l. Let q(d) = 15*d - 6*d - 8*d - 4. Let u be q(l). Calculate a(u).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 139*m - 1561*m - 33*m.\nAnswer: -1455*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 44166*h - 394*h**5 - 44165*h - 229*h**5 + (-3*h**5 - h**5 + 3*h**5)*(-1 - 3 + 5)*(-2 + 6 - 2).\nAnswer: -625*h**5 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of -28*c**3\/15 - 2*c**2 + 8*c\/5 - 66. Factor y(x).\nAnswer: -4*(x + 1)*(7*x - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*d - d = v + 12, 0 = -4*v + 4*d + 24. Let q be 1 - (-6 - -3)\/3. Factor -v*g**q - 2*g + 3*g + 2*g + 6*g**2.\nAnswer: 3*g*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -30 in 3, 0.4, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 114 - 112. Solve 2*b = -0*b - 2*j - 10, -5*b = -u*j + 18 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1136015729.\nAnswer: 1136015729","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find v, given that v**2\/3 + 42641734*v\/3 + 454579369631689\/3 = 0.\nAnswer: -21320867","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(108)*3 + sqrt(3).\nAnswer: -4 + 19*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 598184 and 552.\nAnswer: 184","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c = -r + 61, 3*r + 0*c = -2*c + 183. Let b = r + -59. Find the second derivative of 2696*n**3 - 2692*n**3 - n + 13*n - 6*n**2 + b wrt n.\nAnswer: 24*n - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -20\/391 and 23\/11?\nAnswer: 4301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 177212 to the power of 1\/2, to the nearest integer?\nAnswer: 421","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -42205, -337816, -1140241, -2702884, -5279149, -9122440, -14486161?\nAnswer: -21623716","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-24)\/(((-945)\/(-18))\/(-35))\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = p**3 + 6*p**2 + 5*p + 2. Let c be 6\/4 + ((-273)\/(-6))\/(-7). Let q be s(c). Suppose 5*t + 0*v = -2*v + 62, q*t + 5*v = 29. Solve t - 2 = 2*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 10708.755 months to decades.\nAnswer: 89.239625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -u**2 + 1. Let g be l(0). Let y be (-43 + 17)*(-6)\/4. Let j = y + -38. Solve x + j = -g for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.1, -1\/8, -0.5, -8.\nAnswer: -8, -0.5, -1\/8, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 > 1\/671603?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 4*n**2 + 8*n. Let d(z) = z. Let c(j) = -5*d(j) + u(j). Let c(t) = 0. What is t?\nAnswer: -3\/4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/8*2*(-1)\/(-18).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:44 AM and 1:25 PM?\nAnswer: 401","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1077.\nAnswer: 3, 359","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:21 PM and 7:35 PM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 7117871?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 8\/(-8) + -2 - -9. Solve -6*x + 6 = -u for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) be the third derivative of q**4\/24 - 4*q**2. Let l(y) = -26*y. Calculate h(l(s)).\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s + f = 22, 6 = -0*s + 2*s - 2*f. Suppose -5*x = -w + s*w + 3, 5*x = -2*w - 9. Factor -4*o + 29*o**3 - 7*o**w - 18*o**3.\nAnswer: 4*o*(o - 1)*(o + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -2*s + 2. What is the units digit of i(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 358665747161 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.1 or -2\/201109?\nAnswer: -2\/201109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3239?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -41*r - 151. Let b be z(-5). Suppose 12*q = 21*q - b. Let d(i) = 0*i**2 + 6*i + 0 - i**2 + 0 + 5. Determine d(q).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6196874000 to the nearest one million.\nAnswer: -6197000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence es when two letters picked without replacement from esesssse?\nAnswer: 15\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 21 - 18. What is the smallest common multiple of u and 4?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the first derivative of c**2\/2 + c + 2. Let g be y(5). Is ((-6)\/6)\/((-2)\/g) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 353\/2 or 177?\nAnswer: 353\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 1352\/7956 - (-1)\/(-9). What is the nearest to 0 in -20, -0.3, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -204 by -504437.\nAnswer: 204\/504437","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93136 is divided by 18442?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1450195 - 2?\nAnswer: -1450197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3827279 is divided by 651?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 24275191?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 3? (a) -4\/5 (b) 4 (c) 374 (d) -15.57 (e) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(m) = m**2 + 447213*m. Let h(i) = -15*i**2. What is b(h(j))?\nAnswer: 225*j**4 - 6708195*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is y in 2*y**4\/23 - 22*y**3\/23 + 90*y**2\/23 - 162*y\/23 + 108\/23 = 0?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, 2, 17, 46, 95, 170?\nAnswer: 277","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 minutes after 3:07 PM?\nAnswer: 3:26 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = -3*x - 23 + 1919*x**2 + x - 1917*x**2 - x + 5*x. Let u(c) = -4*c**2 - 3*c + 47. Give -4*u(q) - 7*w(q).\nAnswer: 2*q**2 - 2*q - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*w**4 + 6*w**4 - 3*w**4 + (-1 + 1 - 2*w)*(0*w - w**3 + 0*w) + 2*w**3 - 2*w**4 - 2*w**3.\nAnswer: w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put 65952\/53, 0, -5 in decreasing order.\nAnswer: 65952\/53, 0, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 3*z - 25. Suppose -4*p + 38 = -2. Let g be j(p). Solve -g*h + 2*h - 6 = 0 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-42)\/(-1050)*275 + 11 + -3 + (0 - 0)?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + (-392)\/(-18) - (-1960)\/8820. Solve 0 = -18*m + a*m + 25 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3395, 5\/3, -3.\nAnswer: -3395, -3, 5\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 35*g**2 - 4*g. Let t(w) = -105*w**2 + 11*w. Let d(r) = -6*t(r) - 17*x(r). Find the second derivative of d(f) wrt f.\nAnswer: 70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10590378.\nAnswer: 2, 3, 1765063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 83106\/(-7533) - 1\/(-31).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c*c**(-1)*(c**4\/c)\/c*(c\/(((c\/(c*c**(-1\/2)*c*c*c))\/c)\/c)*c)\/c**1 assuming c is positive.\nAnswer: c**(15\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g + 12 = 0, -2*m + m - 3*g + 969 = 0. Suppose -o + 7*o = m. Is o composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from afaw. Give prob of picking 1 f and 3 a.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -11 + 15. Suppose -b*x + 0*x + 1140 = 0. Suppose -4*q + x = -g - 0*g, 0 = 5*q + 3*g - 352. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 355203 and 20191.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*u + 14*u - 4*d = 24, 2*d = 2*u. Sort 7, -14, 0, 4, u in decreasing order.\nAnswer: 7, 4, 0, u, -14","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 5*b - 8903 = 5402, b = -5*r + 35728. What is the thousands digit of r?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31150821731 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 - -3.6. Suppose -2*t = -5*p - 15, 0*t = t + 5*p. Which is the second biggest value? (a) 0 (b) t (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -7 (base 15) to base 9.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 82 minutes after 6:29 AM?\nAnswer: 7:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g = -6*g - 8. Let c be ((-2)\/(-3)*-24)\/g. Calculate the highest common factor of 56 and c.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + -12 - (-65 - 0) - 17?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -629983 divided by -3.\nAnswer: 629983\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1895 - -2048. Let y(n) = 1292*n**2 + 153. Let l(f) = 17*f**2 + 2. Calculate q*l(x) - 2*y(x).\nAnswer: 17*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -3 - -11202?\nAnswer: 11133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -117080 divided by 953\nAnswer: -117080\/953","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18838 is divided by 4699?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -22375*v**2 + 53019 wrt v?\nAnswer: -44750*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14215 is divided by 4670?\nAnswer: 205","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(a) = 5*a - 5 - a**2 - 11 - 2 + 13. Calculate q(5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in 17, -22908, -2\/7, 2\/3, -0.1, -2?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -29387*j**2 - 31547 wrt j?\nAnswer: -58774*j","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.3, -2\/3, 8.9, -1.2 in decreasing order.\nAnswer: 8.9, 0.3, -2\/3, -1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vm when two letters picked without replacement from vqqenqqfnqmeqnmeqn?\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + c + 853 + 177 = 0, 4*j = -2*c + 1024. Suppose u - 3*k = 123 + 130, 0 = -u + k + j. List the prime factors of u.\nAnswer: 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 3*k - 6. Suppose 9*x - 19 + 87 = -8*x. Let j(w) = -w + 3. Give x*g(u) - 7*j(u).\nAnswer: -5*u + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Does 136 divide 4660724?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*h**3 + 0*h**3 - 4*h**3)*(85*h**2 - 20*h**2 - 24*h**2).\nAnswer: -164*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 258 divided by -86?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(z) = -49*z**2. Let j(k) = 7*k**2. What is q(j(f))?\nAnswer: -2401*f**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round -14476 to the nearest one thousand.\nAnswer: -14000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 1623447673 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 17 + -17. Suppose v = 7*f - 3*f. Suppose -5*u + 639 = 4*b, f = u + 3*b + 40 - 170. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/9? (a) 1 (b) -2 (c) 3\/4 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = -q - 2. Let h be v(-5). Let r be (h - 0) + 3 + -1. Let y be (-18)\/(-5) + 2\/5. Sort -5, y, r in decreasing order.\nAnswer: r, y, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 183 and 1098?\nAnswer: 1098","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 151 + -78. Let u = i - 76.9. What is u rounded to the nearest integer?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -50 + 47.1. Let m = 6.9 + p. Let l = 126 + -126. Which is the third biggest value? (a) 7 (b) m (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 + 2*m + 2)*(432 - 7*m - 790 + 411) in the form k*m**2 + c*m + d and give k.\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = y**3 - 18*y**2 - 151*y - 10. Give p(-6).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange s**2 + 3*s + s + s to the form f*s + v*s**2 + h and give f.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-46)\/(-4) - 2\/(-4). Suppose 5*w = -w + l. What is the first derivative of 12 - 10*x**2 - 13*x**2 - 2*x**2 + 32*x**w wrt x?\nAnswer: 14*x","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28.613 + -28.4. Round x to two dps.\nAnswer: 0.21","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = w**3 + 7*w**2 + 5*w + 15. Let f be x(-7). Let i be (-866)\/10 + 8\/f. Let n = i + 89. What is the lowest common multiple of 90 and n?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 17\/(-3) + (-2)\/(-3). Let s = 13 + c. Solve 2*h - 3*p = -4, -3*h = 5*p - 2 + s for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of -3*(-2)\/(-12)*-178?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -5 + 1 - 1 - 18*r**2 - 2*r**4 - 2*r - r**3 + 7 in the form c*r**4 + m + z*r + t*r**2 + d*r**3 and give z.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -250 from -42.\nAnswer: 208","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((b\/b**(-1\/2))\/(b\/(b*b**3\/b*b)))**(10\/9))**(-2\/9) assuming b is positive.\nAnswer: b**(-10\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 520\/910*7*1\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1541, 1554, 1567?\nAnswer: 1580","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -40957140*t**6 + 25630079*t**2 wrt t.\nAnswer: -4914856800*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 1 (base 7) to base 14\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:52 PM and 2:32 AM?\nAnswer: 700","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*r - 12 = 0, 14*r = 12092*p - 12086*p + 20 for p.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -84.63257 + 0.14257. What is p rounded to the nearest ten?\nAnswer: -80","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-180)\/(-25) - 1) + (-3)\/15. Suppose -4*s - 4*l = 196, -5*s + 4*l = u*l + 242. Calculate the common denominator of 41\/44 and 6\/s*(-1 + (-411)\/(-9)).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 0.5 and 4630.\nAnswer: 4630.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 172094231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round -113339000 to the nearest 1000000.\nAnswer: -113000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 457269170 by 91453834.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2 + -7. Let j be (-2)\/2 + 0 - 2*-3. Let m be 7\/(-2)*j\/((-140)\/24). Sort m, c, -2 in decreasing order.\nAnswer: m, -2, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6686, -13422, -20214, -27068, -33990, -40986?\n\"Answer: -h**3 - 22*h**2 - 6663*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -22 - -17. Does 4 divide (-4)\/v + (-108)\/(-15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3\/5, -2.2, 37, 7\/13 in increasing order.\nAnswer: -2.2, -3\/5, 7\/13, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-3)\/(-9) - 35\/(-3). Let o = 26 - c. What is the units digit of o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) be the first derivative of r**8\/7560 - r**6\/810 + r**4\/108 - r**3 - 2. Let t(x) be the third derivative of a(x). Factor t(q).\nAnswer: 2*(q - 1)**2*(q + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.605 - -3.205. Which is the nearest to -7? (a) -17 (b) 0.5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 16102067 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = -7*a**2 - a - 3. Let i(p) = -3*p**2 - p - 2. Let u(t) = 2*b(t) - 5*i(t). Let v be u(-3). Let q(s) = -s + 2. Calculate q(v).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l = 3*l - 6. Suppose 4*y - 21 = -x, l*x + 21 = 2*x + 5*y. Suppose -x = -q + a - 2, 0 = -4*q - 3*a + 10. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -3*i - 4. Let y be z(-3). Suppose 21 = 3*c + y*f, 2*c - 5*f = -f - 8. Factor -12*a**2 + 0*a**4 + 4*a - c - 2*a**4 + 4*a + 8*a**3.\nAnswer: -2*(a - 1)**4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 + (20294 - 2\/1*-3) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21753 to the power of 1\/2, to the nearest integer?\nAnswer: 147","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Round -327 to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.05 in -1, 0.2, 0.4, 3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -4842 * 0\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 836107 is divided by 836083.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 30, 58, 86, 114, 142, 170?\nAnswer: 198","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o = -20*f + 13*f - 4, -2*o + 2 = -3*f for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 316779 is divided by 104.\nAnswer: 99","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 5\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -20389043373.86 + 0.4.\nAnswer: -20389043373.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -35*v**5 - 65*v**4 - 25*v**3 + 5*v**2.\nAnswer: -5*v**2*(v + 1)**2*(7*v - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1568*p**4\/9 + 15568*p**3\/9 - 12694*p**2\/3 - 2780*p\/9 - 50\/9.\nAnswer: -2*(p - 5)**2*(28*p + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) be the third derivative of c**7\/525 + 49*c**6\/150 + 659*c**5\/50 - 5194*c**4\/15 + 44944*c**3\/15 + 1394*c**2 - 2*c. Find x, given that s(x) = 0.\nAnswer: -53, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 1192 + -257. Does 76 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the second derivative of c**6\/90 + c**5\/20 - c**4\/3 - 26*c**3\/9 - 8*c**2 - 60*c + 2. Find u, given that y(u) = 0.\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*i + 97*i - 610 + 470 = 0. Factor 476\/3*h**i - 1200 + 2320*h + 8\/3*h**3.\nAnswer: 4*(h + 30)**2*(2*h - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 24357375?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*t**2 - 185950*t + 929875.\nAnswer: -5*(t - 5)*(t + 37195)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve x - 4*u - 67 = 0, 36*x - 710*u = -712*u + 76 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2*(-4 + sqrt(700) + 0) - (-1*sqrt(7623))\/(-5*sqrt(18)\/sqrt(2)).\nAnswer: -111*sqrt(7)\/5 + 8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -3*a - 25 + 7*a**3 - 2*a**2 - 8*a**3 - 13*a**3 + 23. Let k be i(-1). Solve -k + 5 = 4*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 18267.8 millimeters to centimeters.\nAnswer: 1826.78","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 - 5. What is the second derivative of 5*l**4 - 5*l**4 + r*l - l**5 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = -n + 26. Let x be (-587)\/(-9) - 8\/n. What is the greatest common divisor of x and 26?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 189246832?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 4*c + 5*g + 4538 - 4552, 5*g = -41*c + 51 for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, 1\/2, -3, -7 in descending order.\nAnswer: 1\/2, -0.4, -3, -7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 14176.\nAnswer: 2, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-x**2 - 2*x**3 + x**2)*(15 - 2*x + 13 + 5).\nAnswer: 4*x**4 - 66*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -428*u = -413*u + 135 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1\/106 - -231\/2014. Let z = -0.0062 - -4.0062. What is the biggest value in m, z, 0.8, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (15\/(-20))\/(2\/(-8))\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12 + 20 + -9 + 23 - (-132 - -37).\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -1. Let f(c) = -2 - 1 - 3 + c. Suppose -2*p + 7*p = 2*q + 25, 2*p - 10 = 4*q. Suppose p*y - 5 = -0. Calculate y*f(m) - 5*i(m).\nAnswer: m - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -25b105 + 6?\nAnswer: -25b0ee","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g(k) = 7*k**3 + 41*k**2 - 5*k - 165. Let a(b) = -3*b**3 - 20*b**2 + 3*b + 83. Let s(h) = -5*a(h) - 2*g(h). Let i be s(-18). Solve 0 = -2*l + 3 + i for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 10*m + 3. Let r(l) be the second derivative of -3*l**3\/2 - l**2 - l + 101. Let d(v) = -3*r(v) - 2*t(v). Let p(h) = -3*h. Give p(d(n)).\nAnswer: -21*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 49 and 301?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kkx when three letters picked without replacement from xmmkxxkrxkk.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 4, -5, 12, -21, -14.\nAnswer: -21, -14, -5, -4, 3, 4, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort -23, -1, 1, -4.\nAnswer: -23, -4, -1, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*a - 3954 = 1180. Calculate the least common multiple of 68 and a.\nAnswer: 10268","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10892758.\nAnswer: 2, 5446379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of m*p*s**2 + m*p*s - m*p - 18053*m*s**2 + 2*m*s + 72*m + 2*p*s**2 - 15*p*s + 58*s**2 + 8*s wrt s?\nAnswer: 2*m*p - 36106*m + 4*p + 116","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -43*7\nAnswer: -301","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -30*a*n**3 + 39819*a - 415468*n**3 - 354*n**2 wrt n?\nAnswer: -180*a - 2492808","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(h) = -2*h**2 - 4*h + 17. Calculate x(-5).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: 8 * -12190775\nAnswer: -97526200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 612 and 935.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:10 AM and 12:23 PM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 235 and 658?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 5*k**3 - 4*k**3 - 2*k**3 + (-4*k + 4*k + 3*k**2)*(0 + 0 - 4*k) + 2*k**3 + 0*k**3 + 0*k**3 + (-4*k**2 + 0*k**2 + k**2)*(-2*k + 0*k - k).\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -4. Let f(w) = 19*w - 153 - 18*w + 294 - 157. Determine 4*f(c) - 18*g(c).\nAnswer: 4*c + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -718637*u + 718663*u + 78 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 1 + -1 + 15 + -8. Suppose -a*k = -4*k + 9600000. Round k to the nearest 1000000.\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in -9, 4, -385, 1, -0.1, 1\/8, 2\/17?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -87\/1411?\nAnswer: -87\/1411","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -v + 2*a = -7 + 15, -3*a = -v - 11 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (6\/15)\/((-2)\/90). Let l = v + 28. Let f = -2 + l. What are the prime factors of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*u**4\/3 - 28*u**3\/3 + 724*u**2\/3 + 748*u\/3 = 0. Calculate u.\nAnswer: -17, -1, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -15050*r + 60214. What is w(4)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 47682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8539 + -5591. Calculate the highest common factor of o and 88.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 333.\nAnswer: 331","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (9\/(72\/(-64)))\/(-27 - -29). Let t = 1 + -3. Which is the nearest to -0.2? (a) t (b) -2\/9 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -125 + 128. Solve -21 = -5*l + 4*l - 4*r, 0 = -5*l + d*r - 10 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = 4*t**3 - 2*t - 2. Determine u(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(r) = 65*r**2 + 6*r + 25. Let t(z) = 325*z**2 + 29*z + 127. Let f(x) = 11*p(x) - 2*t(x). What is the thousands digit of f(-4)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000036894 rounded to five dps?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 12959688 divided by 154282?\nAnswer: 84","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 30126506 is divided by 185.\nAnswer: 181","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -23 - -25 - (-10 + 3 + 0)\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-37)\/3 + 4\/12. Find the common denominator of 139\/12 and 3\/(-9) - (-398)\/j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2240 and 6?\nAnswer: 6720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Are 841 and -345\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = m + 1. Let q be s(2). Suppose -z = -2*z + q. Differentiate 1 + 0 + 0*c**4 + z*c**4 with respect to c.\nAnswer: 12*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 14*y**2 + 12*y - 8. Let m be j(-13). Let n(w) = -w**3 + 7*w**2 - 1. Let f(h) = h**2 - 1. Let a(k) = 2*f(k) - n(k). Give a(m).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 2\/(-4) + (-18)\/4 + 4. Let w(i) = -19*i**2 - 2*i - 1. Determine w(o).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -40 (b) -0.0085 (c) 0.5 (d) 0.4 (e) -2\/91\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*2*sqrt(119))\/(sqrt(7) + (sqrt(315)\/sqrt(5))\/sqrt(9)))**2.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2\/(-4)*(-9 + 3). Find the first derivative of c*h + 2 + 2 + 2 - 4 wrt h.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*w + 2*f + 16, -4*f - 373 = -81*w - 268 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 63\/4021228 and 145\/2616?\nAnswer: 24127368","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 5, -16.1, -10, -1\/24, -2\/3 in ascending order.\nAnswer: -16.1, -10, -2\/3, -1\/24, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6585, 9488, 12405, 15342, 18305, 21300, 24333?\nAnswer: 27410","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 119\/35 - (-6)\/10. Suppose -5*i + z = -16. Put 1, i, 2 in decreasing order.\nAnswer: i, 2, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = 5*n**2 - 1 + 0 - 23*n**3 + 22*n**3. Calculate t(5).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 6 - -1. Let b = r + 2. Let o = 165 - 84. Calculate the highest common divisor of o and b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 235163 is divided by 3855?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor h**3\/12 + 2432*h**2\/3 + 29177*h\/12 + 9725\/6.\nAnswer: (h + 1)*(h + 2)*(h + 9725)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 5\/486, -0.03, -0.4, -0.14, 0.4 in ascending order.\nAnswer: -0.4, -0.14, -0.03, 5\/486, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in fifty-one fifths of a hour?\nAnswer: 36720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -12*d**3 + 36*d**2 + 1778*d - 7183. Calculate c(4).\nAnswer: -263","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 0, -3*d = 2*d - h - 10. Suppose -n - 18 - 20 = -l, -5*n = l - 26. Let x be (2\/(-8))\/((-45)\/l). Sort d, x, 0.5 in descending order.\nAnswer: d, 0.5, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xaqxqaquvsvxquau. What is prob of picking 1 u, 1 a, and 1 x?\nAnswer: 27\/560","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.094 + 270.906. Let n = u + -270. Let v = -0.1 + 0.2. Which is the nearest to v? (a) n (b) 11 (c) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3668.21062 rounded to the nearest ten?\nAnswer: 3670","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -85 + 87.5. Let v = -6.5 + n. Which is the second smallest value? (a) 0.2 (b) -1.4 (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 7*g - 2. Let r(k) be the second derivative of 4*k**3\/3 - k**2 + 42*k. Determine 6*l(n) - 5*r(n).\nAnswer: 2*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.956245 litres in millilitres?\nAnswer: 8956.245","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -13, -38538, -1 in increasing order.\nAnswer: -38538, -13, -1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.7, -3, 652, -53, 1?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1883, 29, 32, -5 in increasing order.\nAnswer: -1883, -5, 29, 32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 55.9 - 56. Let y = -34.21 - -34. Which is bigger: y or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 752 + -497. Suppose 0*t = 5*t - y. Let z = t - 29. Calculate the highest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 930 and 2418.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 u, 1 h, and 1 r when four letters picked without replacement from {u: 11, e: 1, l: 2, h: 1, r: 3}.\nAnswer: 11\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 31.68361 kilograms?\nAnswer: 31683610000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 82 and 4100?\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 8*v - 10*v - 3 - 13 for v.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 22*c**4 + 2*c**3 + 16545*c - 2585035?\nAnswer: 88*c**3 + 6*c**2 + 16545","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -2, 977, -10 in descending order.\nAnswer: 977, -2, -5, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 23\/14 and 117\/54920.\nAnswer: 384440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1800046\/13 - -138563. Let s = h - 98. Sort s, 3, -5 in increasing order.\nAnswer: -5, s, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 1\/16 of a tonne?\nAnswer: 62500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -w - 3*o - 43, -85 = 5*w + 2*o + 182. Let b = w - -57. Suppose 3*k = 4*k - 10. Solve b*y - 4*i = 16, -2*y + 4*i + k = 3*y for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3231666?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/2*0 - -5. Let o be 0\/(-1) + -5 - -1. Let h = o + g. Solve 2 = m + h for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 158314 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 85 and 7885?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -147 + (-214 + 112 - -118)\nAnswer: -131","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 + 1305\/(-100) + 1377\/68 + -19?\nAnswer: -19\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -5616 - -163.9?\nAnswer: -5452.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1\/6)\/(62\/124)*21.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.85541 rounded to one dp?\nAnswer: -2.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (5 + 6 - 7)*(0 + 0 - 2*s) + 0*s + 6*s - 4*s - 1 as p + v*s and give v.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 29 a factor of 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-6*(sqrt(180) + -1*sqrt(180)))\/sqrt(12))\/((sqrt(363)*-2 - sqrt(363)) + (sqrt(3) + sqrt(15)\/(sqrt(20)\/sqrt(4)) - sqrt(3)))*-2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1 and 376688?\nAnswer: -37668.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uumuummmuumuuummmumu. What is prob of sequence mmmu?\nAnswer: 77\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 98218860 and 36.\nAnswer: 294656580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 61 and 499773.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -376849 and 572.\nAnswer: -215557628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4? (a) 0.4 (b) 1.4 (c) 0.2497 (d) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -371, -795, -1949, -4199, -7911?\nAnswer: -13451","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + 5 + ((sqrt(1584) + -2*sqrt(1584) + -3)**2 - (sqrt(1584) + -2*(sqrt(1584) + sqrt(1584)*-2 + sqrt(1584))**2)).\nAnswer: 60*sqrt(11) + 1599","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 49 and 1580073943?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 4 - 8 = 0. Let u(y) = -3*y**m + y**2 + 4*y**2. Let b(w) be the second derivative of -w**3\/3 - 7*w**2 - 2*w - 75. Determine b(u(c)).\nAnswer: -4*c**2 - 14","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put -509.19, -7, -2\/9 in ascending order.\nAnswer: -509.19, -7, -2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 660*z**2. Let g(l) = 16*l**2 - 42*l**2 + 14*l**2 + 11*l**2. Calculate g(j(d)).\nAnswer: -435600*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (0\/1 + 1)\/((-6)\/60). Let c = -2 + s. Is ((-741)\/6)\/(2\/c) - -2 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -103945 (base 10) in base 12?\nAnswer: -501a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = -3*a + 17. Let n be g(5). Let p(b) = -8*b**n - 6*b**2 + 2*b**2. Let x(j) = -3*j - 2. Let y(c) = 9*c + 7. Let z(w) = -7*x(w) - 2*y(w). Give z(p(d)).\nAnswer: -36*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -1088 + 1.2366\nAnswer: -1086.7634","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 484 - 19359\/40. Let o(z) be the second derivative of 0*z**2 + u*z**5 + 9*z - 1\/24*z**4 + 0 + 0*z**3. Find m such that o(m) = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 138088063 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -10 + 8. Let w be (4\/o + 2)\/2. Suppose 3*y + 1 + 11 = w, 25 = 5*i + 5*y. Solve -2*q + i = q for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = -k**2 - 9*k - 11. What is the units digit of v(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 25810?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = 18*x - 430. Let j be p(25). Calculate the highest common divisor of 3 and j.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3 + -5 + 1 + 45?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -42 - 303 = -23*t. Suppose -t*c + 364 = -2*c. What is the greatest common divisor of 364 and c?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jllljlavlajg. Give prob of sequence lg.\nAnswer: 5\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -45 + 45. Let d be (-300)\/(-423) + ((-8)\/(-3))\/(-4). Sort n, 3, d.\nAnswer: n, d, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 13 - 10. Which is the closest to -1? (a) x (b) -4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 179, 382, 599, 836, 1099, 1394, 1727?\n\"Answer: v**3 + v**2 + 193*v - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 365, 391, 463, 605, 841, 1195, 1691?\nAnswer: 2353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-2 - 0) + -4)*1. Let i be 372\/(-155)*30\/18. Put -1, k, 6, i in increasing order.\nAnswer: k, i, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**3 - 14*c**2 + 4*c + 1. Let f be 1*5*112\/(-40). Let u be x(f). Let b = 109 + u. What is the units digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 2*x + 3*x)*(-x**3 - 2*x**3 + 2*x**3) + (-x + 2*x**2 + 2*x**2 - x**2)*(2*x**2 + 3*x - 3*x).\nAnswer: 8*x**4 - 2*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*i + 205 + 1 = 0. Let n = i - 100. Solve n*g = -t - 3 + 17, g = 4*t - 17 for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 63\/193657?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1786402659 divided by -3\nAnswer: -595467553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -4*q**3 - 118*q**2 - 236*q - 125. Let s(t) = -10*t**3 - 354*t**2 - 710*t - 374. Let k(b) = -8*a(b) + 3*s(b). Factor k(c).\nAnswer: 2*(c - 61)*(c + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -3*z. Let o(u) = 12*u**2 - 8*u + 5*u**2 - 5*u + 4*u. Let k(s) = 4*s**2 - 2*s. Let f(q) = 9*k(q) - 2*o(q). Calculate f(g(b)).\nAnswer: 18*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -327*((-4)\/6 + 1). Let h = i - -270. What is the highest common divisor of 23 and h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3 + sqrt(450) + 2 - (sqrt(450) - sqrt(450)*-2)*2 - ((sqrt(5000) - (-1 + sqrt(5000) + -2 - sqrt(5000))) + 4))**2.\nAnswer: 2000*sqrt(2) + 31314","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 c when three letters picked without replacement from {n: 1, i: 1, c: 9}.\nAnswer: 28\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 80281 to the power of 1\/5, to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) be the third derivative of -47*t**4\/2 - 95*t**3\/3 + 96*t**2 - 2. Differentiate s(j) wrt j.\nAnswer: -564","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -62 + 68. Is (-3 - 31138\/a)*(-3)\/2 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (14 - 0) + (-11 - 8 - -12) - 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - 7*k**2 - k - 7. Let g(x) = -x - 2. Let s be g(3). Let z be r(s). Let j = z + 104. Does 13 divide j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -0.1 or -36462?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -524 - -780. Solve -21*x + 53*x = -c for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from eceicycececcr. Give prob of picking 3 e and 1 y.\nAnswer: 4\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 148225 is divided by 636.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 5, d: 3}. What is prob of picking 2 d and 2 f?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**3 - 12*n**2 + 3. Let g be m(-12). Let o = g - 0. Solve y + 0 = -o for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2535513 a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2 (b) -5\/4 (c) -5 (d) -0.5 (e) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 19*y**2 - 3. Let v(h) = 360*h**2 - 56. Calculate 56*j(f) - 3*v(f).\nAnswer: -16*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 873616\/7 - 124232. Let h = n - 570. What is the nearest to 3\/20 in 1\/4, h, 3?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-30)\/(-4)*(-4)\/(-6). Let o(v) = v**2 - 5*v + 2. Let j be o(g). Suppose 0 - 4 = -j*y. What is the units digit of y?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -59944 by -14986.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -133732 (base 9) in base 13?\nAnswer: -2b145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*y = 6*y - 1173. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2561 and 197?\nAnswer: 2561","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 4055 (base 6) in base 4?\nAnswer: 32003","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 47224 is divided by 583?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = 9*h + 37. Let r be w(-4). Put -9, 5, r in descending order.\nAnswer: 5, r, -9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -6.88 + -0.12. Let l = y - -5. Let m be (-20)\/(-32)*20\/(-25). Which is bigger: m or l?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = 11. Let z(f) = -f - 1. Let r be z(-7). Let w(y) = y - 32. Let s(k) = r*w(k) + 17*u(k). Differentiate s(c) with respect to c.\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -51388025\/7 less than -7341145?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = c. Let g(h) = -13*h + 4. Let t(k) = g(k) + 2*y(k). Is t(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-6 - 85\/(-15))\/(10\/(-12)). Let f(g) be the second derivative of o*g**5 + 0*g**4 + 0 - 4*g + 0*g**3 + g**2. Find the first derivative of f(h) wrt h.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 0.2+-35.239002\nAnswer: -35.039002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.9 (b) 4 (c) 735 (d) -0.16 (e) -5 (f) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 71*n**2*t**2 - 2*n**2*t + t**2 + 107*t with respect to n.\nAnswer: 142*n*t**2 - 4*n*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.4558882 to one decimal place.\nAnswer: 1.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -104, 3, 0 in increasing order.\nAnswer: -104, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 1081130 and 730?\nAnswer: 730","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -d - 3*y + 15 = 0, 627 - 592 = 5*d + 7*y for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-14 - 259*y + 595*y - 239*y)*(-2*y**4 + 10*y**4 + 2*y**4).\nAnswer: 970*y**5 - 140*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 34 - 94. Let d = -36 + x. Let v = d - -99. Which is the closest to 0? (a) 2 (b) v (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sum 38713.8 and 1.\nAnswer: 38714.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**2 - 3*j - 7. Let d be s(6). Let n = 18 - d. Solve 0 = -3*h + n*h - 4 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 11*o + 10*o - 3)*(-204 + 57*o + 204).\nAnswer: -57*o**2 + 57*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -116 greater than or equal to -4385.7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.24 - -0.4. Let x = 0.803 - h. What is x rounded to 2 decimal places?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the first derivative of j**3 - 33. Let h(w) = 8*w. Calculate h(q(o)).\nAnswer: 24*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1547 = -7*w + 5761. Calculate the greatest common factor of w and 36.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 10*o - o - 36 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-15)\/25*5\/(-1). Let i(q) = 29*q**2 + 7*q - 16. Is 15 a factor of i(v)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Solve p**5\/2 + 9*p**4\/4 + p**3\/4 - 21*p**2\/4 + 9*p\/4 = 0 for p.\nAnswer: -3, 0, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8 a factor of 441?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -6.0979976516 - -6.098. Round n to 7 dps.\nAnswer: 0.0000023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 363\/(-9) + (-4)\/(-12). Let x = u + 42. Solve 2*z + 4 = z, 5*n = -x*z - 13 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1424\/(-40)*(-14)\/28*(-20)\/(-4)?\nAnswer: 89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*k - 5*r - 1017, -r - 3 + 6 = 0. Suppose -4*b = -3*b + 2*x - 12, 116 = 5*b - 4*x. What is the remainder when k is divided by b?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5044 a factor of 603655832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 577.3739t in nanograms?\nAnswer: 577373900000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -29, 4, 5, -65761 in decreasing order.\nAnswer: 5, 4, 3, -29, -65761","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 125439424 divided by -736?\nAnswer: -170434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(5) + sqrt(80) + 4)*6)**2.\nAnswer: 1440*sqrt(5) + 5076","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-39)\/(-195))\/(2*(-16)\/160)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 104004521.\nAnswer: 17, 37, 165349","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4272?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 u, 1 a, and 1 i when three letters picked without replacement from aooicou?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 908 is divided by 58.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1834 - 259. What are the prime factors of g?\nAnswer: 3, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -2309 + 9283\/4. Which is smaller: 13 or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 163\/32 and 6 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is (153\/18)\/(3638\/15836)?\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the first derivative of 53*f - 3\/2*f**2 - 6. Let y be b(17). Solve 18 = -2*d + 7*n - y*n, -16 = 5*d + 2*n for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 1553?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -3*r**3 + 8*r**2 + 3*r + 4. Does 58 divide c(-5)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - ((-9 - (0 + -4)) + 4).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q**5\/4 - q**4 + 9*q**3\/4 + 4*q**2 - 5*q = 0. What is q?\nAnswer: -5, -2, 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7516*x - 7513*x + 1262 - 1262.\nAnswer: 3*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 11 and 33896.\nAnswer: 372856","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, -5, -1, 1, 45, 0.\nAnswer: -5, -4, -1, 0, 1, 3, 45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 463 = 3*v - 5*c, 0 = v + 5*c - 129. Suppose -u + 7*x = 2*x - 10, -u - 4*x = -37. What is the remainder when v is divided by u?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:44 AM and 4:50 AM?\nAnswer: 246","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 + -1. Suppose 44 = 2*o - 0*o. Let y(h) = h - 11. Let j(i) = -3. Let r(n) = 16. Let u(v) = 11*j(v) + 2*r(v). Calculate o*u(w) + t*y(w).\nAnswer: -2*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:11 PM and 1:42 AM?\nAnswer: 391","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3781367 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -21 - -26.5. Round c to zero decimal places.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.63? (a) -1 (b) -1.1 (c) 3 (d) 0.1 (e) -0.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 34000 - 34007. Which is the third smallest value? (a) 0.2 (b) -213 (c) -4 (d) -3 (e) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 17\/(-6) - (-20)\/24. Suppose u - 7 = 3*v, -4*v - 3*u = -2*u. Let k be t\/v*(3 + 44\/(-8)). Sort 2, 5, 1, k in descending order.\nAnswer: 5, 2, 1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 587 minutes after 10:29 AM?\nAnswer: 8:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4 + 9 + -15 + -4?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (0\/(-3))\/(0 + -3). Let u(x) be the second derivative of x**4\/12 + 5*x**2 + x. What is the units digit of u(r)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 48, 1290, 0.2 in decreasing order.\nAnswer: 1290, 48, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 2 - 54100700.6\nAnswer: -54100698.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of (-6)\/(-7)*56\/48*6 and (1 + -3)\/((-4)\/66).\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10663352 and 289765.\nAnswer: 53316760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4064?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1.05, -1\/7, -1\/12, 347 in increasing order.\nAnswer: -1.05, -1\/7, -1\/12, 347","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1294 is divided by 407.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 9233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (36\/(-15))\/((-11799)\/(-405) - 29)?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = -2*n**3 + 2*n. Suppose -40 - 34 = -2*m. Let s = 73 - m. What is the least common multiple of c(-2) and s?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 53446105 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of 21058, 20542, 19668, 18424, 16798, 14778, 12352, 9508?\n\"Answer: -2*r**3 - 167*r**2 - r + 21228","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -3 - -3. Let d be 1 - 0 - (-1 + j). What is the second derivative of 0*l**3 + d*l**5 - 3*l + 0*l**3 - 4*l**5 wrt l?\nAnswer: -40*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -24 - -40. Let m = 21 - q. Suppose m*i = -5*p + 50, -2*i - 3*p + 14 = -4*p. Calculate the lowest common multiple of 25 and i.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-12)\/l**14)**(2\/123)*((l**(4\/7)\/l)\/l**8)\/(l**(-2\/7)*l\/(l*l*(l\/(l**8\/l))\/l*l)) assuming l is positive.\nAnswer: l**(-11680\/861)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(u) = 19*u + 13. Let b(n) = -9*n - 6. Let o(w) = 13*b(w) + 6*t(w). Let v(p) = p. Calculate v(o(y)).\nAnswer: -3*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 2086 and 434?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.2 (b) 648 (c) -1 (d) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/(((f\/(f**(-1\/13)*f))\/f)\/f))\/((f**5*f*f)\/f)*f\/f**8*f*f\/(f**(-4)\/f*f) assuming f is positive.\nAnswer: f**(-53\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 9.7? (a) 1 (b) 1\/37 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of -49*r**5\/20 + 29*r**2 + 413*r. Find the first derivative of g(c) wrt c.\nAnswer: -147*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1361 + -1358. Factor -3\/4*b**5 - 3\/2*b**2 + 0*b**d + 3\/4*b + 0 + 3\/2*b**4.\nAnswer: -3*b*(b - 1)**3*(b + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-5328)\/17094)\/((-34)\/7 - -5).\nAnswer: -24\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -916, -1, 3188 in decreasing order.\nAnswer: 3188, 4, -1, -916","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -3\/92 - -75\/184. Let n(p) = -p**2 + 7*p + 2. Let k be n(6). Suppose -4*m = -k*m + 4. Which is the second biggest value? (a) 5 (b) m (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = 7*r**2. Let j(u) = -12*u - 8. Let p(f) = -457 + 13*f + 235 + 232. Let m(l) = 5*j(l) + 4*p(l). Calculate m(b(o)).\nAnswer: -56*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert -27641706 (base 9) to base 7.\nAnswer: -224114001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 divided by 477?\nAnswer: -4\/477","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 3*r = -50. Suppose -2 + 154*b**3 + 224*b**3 - 84*b - 243*b**4 - 39*b**2 - r = 0. What is b?\nAnswer: -2\/9, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*w**2\/9 - 26*w\/9.\nAnswer: -2*w*(w + 13)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -217.36 to the nearest ten.\nAnswer: -220","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -15568.96264 rounded to zero decimal places?\nAnswer: -15569","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = 16*o - 62. Let p be h(7). Suppose -1039 - 1211 = -p*z. What is the remainder when 177 is divided by z?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1271, 4437, 9707, 17075, 26535, 38081, 51707?\nAnswer: 67407","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -2 + 3 + -3 + 60 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 83263.53 decades?\nAnswer: 832.6353","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86 + 19 = 3*q. What is the smallest common multiple of 47600\/1008 + (-180)\/81 and q?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 79539603 to the power of 1\/3, to the nearest integer?\nAnswer: 430","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(q) = 2*q + q - 4*q + 0*q - 5. Let p(a) = -a - 2. What is 5*p(c) - 3*v(c)?\nAnswer: -2*c + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -6 - -11. Suppose -3*i = 2*i + 15, -i + 67 = d*h. List the prime factors of h.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = 0, c + 2*v = -2 - 0. Suppose -4*g + 2*g = 4*a, 2*a - g - 4 = 0. Sort 5, c, a in descending order.\nAnswer: 5, a, c","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 410 minutes before 1:19 PM?\nAnswer: 6:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -7\/5, 2\/7, -5 in ascending order.\nAnswer: -5, -7\/5, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/((-3780)\/(-16))*3\/2.\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -83 - 206 = -5*y + 4*k, 5*y - 3*k = 293. Let i be ((-21)\/(-7) - 1) + (-124)\/(-2). Is i not equal to y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 748?\nAnswer: 2, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 136, 271, 406, 541?\n\"Answer: 135*a + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -378 or -377?\nAnswer: -378","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20976286*f - 2430 = -20976376*f for f.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-1 + 10\/4)*(-32)\/(-48). Let a be (-3 - 14\/(-4))\/(n\/6). Solve -3*t = -0*d - a*d - 30, -3*t + 40 = -5*d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*o - 4*o + o + 8*o.\nAnswer: 8*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.4 in -42, -4, -0.5, -0.1099, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + -4*(sqrt(175) + -1 + sqrt(175)) + sqrt(175) + 1 + sqrt(175) + sqrt(175) + 0 - (4 + sqrt(175)*1 + (sqrt(175) - (sqrt(175) + -2)) + 0))**2.\nAnswer: -60*sqrt(7) + 6301","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 14*i - 21*i = 209 - 335 for i.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 70.01076 decades to centuries.\nAnswer: 7.001076","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 298348852.\nAnswer: 2, 1663, 44851","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jzzz when four letters picked without replacement from {z: 7, k: 1, j: 6, c: 3}.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 1 + 1)*(3*p**5 - 4*p**5 + 4*p**5) - p**5 + p**5 + p**5 - 93*p + 2*p**5 + 61*p - 1 + 153*p.\nAnswer: 6*p**5 + 121*p - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -138\/704411 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 198 and 154572.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(k) = -23321*k**2 + 1. Let z(w) = -10*w**2. Determine q(z(a)).\nAnswer: -2332100*a**4 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (4\/(-10))\/((180\/(-50))\/(-9)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*5*(1*((sqrt(500) - sqrt(500)*2) + -2))**2.\nAnswer: 800*sqrt(5) + 10080","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 118 = -3*q, -72 = -q - 5*r - 27. Is 8 a factor of q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.065 (b) 2 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 0 + 2)*(2 - 4 + 0)*(-1515*x**2 - 9*x**5 + 1515*x**2).\nAnswer: -36*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/108500 and 5.\nAnswer: 108500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 49\/2621264 and -79\/9936.\nAnswer: 70774128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1816 by 2.\nAnswer: 908","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor f**2\/4 - 770426*f - 4622565.\nAnswer: (f - 3081710)*(f + 6)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = 3*t**2 - 2*t - 1. Let l = 77 - 51. What is the smallest common multiple of m(-1) and -2 + l - (6 - 2)?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -4*l**2 - 3 + 5*l + 8 + 2*l**2 + 4*l**2. Let d(m) = -m**2 - 3*m - 3. Suppose -4*j - 5 = -5*j. Suppose 12 = 4*o - 0. Calculate j*d(f) + o*z(f).\nAnswer: f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wdbdwmdgwwudw. Give prob of picking 1 g and 1 d.\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 821 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = -b**2 + 4*b + 10. What is the smallest common multiple of c(5) and 40?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 89 minutes before 4:25 PM?\nAnswer: 2:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -74, -92, -110, -128, -146, -164?\nAnswer: -182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) 2\/17 (c) 2 (d) 38 (e) 1\/16 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -3195 divided by 5\nAnswer: -639","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -1.6 + -0.4. Suppose 0 = -3*p + 24 - 9. Put p, -1\/10, b in ascending order.\nAnswer: b, -1\/10, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 - 8 = 3*x. Is 11 a factor of (-2)\/6*x*2247\/14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -63 - -59 - (-2 + (12 - -4))?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*f**2 - 8 + 19*f - 19*f in the form r*f**2 + y*f + i and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h + 2*v + 5 = 19, 2*h - 3*v - 7 = 0. Let x(i) = -2*i + 19. Let w be x(h). Is (1590\/(-20))\/(w\/(-10)) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = q**2 - 4*q. Suppose l = 7*t - 3*t - 15, t - 7 = -3*l. Let s be m(t). What is the tens digit of 24\/6 - (-34 - s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(((sqrt(128))**2 + -1)*-6 + -4).\nAnswer: 2298","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Express ((4*o - 4*o - 2*o)*(2*o**2 + 3*o**2 - 3*o**2) + 13*o**2 - 13*o**2 - 6*o**3)*(-6 - 4 + 1) in the form h*o**3 + d*o**2 + x*o + l and give h.\nAnswer: 90","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110011111100 + 101?\nAnswer: -110011110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000000621200218 rounded to 7 decimal places?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -3*i**3 + 55*i**2 - 15*i - 8. List the prime factors of s(-12).\nAnswer: 2, 3319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7382.807 years to millennia.\nAnswer: 7.382807","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 60766051 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 52021621?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 2123017.5 - 0.5?\nAnswer: 2123017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - x + 155697 = 0, -3*x - 170077 - 110144 = -9*v. List the prime factors of v.\nAnswer: 2, 15569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 14) in base 2?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 281820 is divided by 2718.\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 8 + 11. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 42779, 85556, 128333, 171110, 213887?\n\"Answer: 42777*q + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 4*t + 50. Let a be y(0). Let h be 10\/a - (-6)\/(-105). Let r = -5 - -3. What is the fourth smallest value in -0.02, -1\/3, r, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 790 (b) -3\/2 (c) -3121\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = 3*x - 8, 7*l = 4*l + 3*x. Let n = 5 - l. Suppose 0 = 5*v + n - 9. Calculate the greatest common factor of v and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5 - 855095*b**3 - 2*b**2 + 67464719*b wrt b?\nAnswer: 40*b**3 - 5130570*b - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 148668?\nAnswer: 2, 3, 13, 953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*u + 0*u - 40 = -5*j, 2*j - 5 = -u for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 36 + -14 + 53 - 33\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -301, -342, -431, -586, -825?\nAnswer: -1166","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 501873 by -519.\nAnswer: -967","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g - 16 = -1. Suppose 3*q - 116 = 22. Suppose 2*j = 4*j - 10, -3*p - 5*j = -q. Solve -p = 4*w - s - 2*s, 0 = -3*w + g*s - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -25201*g + 25048*g - 12393 for g.\nAnswer: -81","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 + 8*a**2 - 10*a - 4. Let h be v(-9). Suppose 0 = -3*i - 9, -h*j + 9*i - 4*i - 30 = 0. Let u be j\/((-15)\/6 - -1). Solve -n = n + u for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (12\/(-6))\/((-12)\/(-9)).\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-645 + 11*p + 267 + 286)*((-6 + 2 + 2)*(1 - 4 + 2) + 0 + 3 - 1)*(0 - 2 + 1) as n*p + x and give n.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 15 - 9. Let r(z) = 5*z + 14. Let f(n) = 12*n + 30. Let y be (24\/(-16))\/((-9)\/(-42)). Let q(b) = y*r(b) + 3*f(b). What is q(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-1171500)\/(-19525))\/((-12)\/(-10)*2)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 545437.71ns to hours.\nAnswer: 0.000000151510475","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100110111001 (base 2) to base 7.\nAnswer: -10154","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange p - p**2 - 439 - 3*p**3 + 439 + 2*p**4 to the form i*p**3 + g + o*p**4 + j*p + w*p**2 and give i.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((2 + -3)*9)\/(6\/(-6)). Suppose -3*q = x - 73, q - 2*x + k = 24. What is the greatest common divisor of 46 and q?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-9 + 4 - 9)*(4*c**3 - 10 + 10).\nAnswer: -56*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.71052637 rounded to four decimal places?\nAnswer: 0.7105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 54 - 50. Suppose 0 = 3*g + 2*v + 51, -x*v + 34 = -2*g - 6*v. Let q = g + 88\/5. What is the nearest to -2 in -3, 2, q?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 12*t**3 + 2*t**2 - 10691*t - 395698 wrt t?\nAnswer: 36*t**2 + 4*t - 10691","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) be the first derivative of r**6\/27 - 2*r**5\/15 - r**4\/3 + 20*r**3\/27 + 7*r**2\/3 + 2*r - 7. Factor w(c).\nAnswer: 2*(c - 3)**2*(c + 1)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(416) - (sqrt(416) - (sqrt(416) - sqrt(416)*-1)) - sqrt(26))\/sqrt(2).\nAnswer: 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -1565480 times -4?\nAnswer: 6261920","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(j) be the first derivative of 9\/2*j**2 + 25 + 17*j**3 + j. Is m(-4) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.46594 from -289849822.\nAnswer: -289849822.46594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + (1 + (sqrt(684)*-1)**2*4 - (-1*(sqrt(19) + 0)*3)**2*3).\nAnswer: 2222","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4 times 0.4?\nAnswer: 0.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -3\/4, 5, 2\/9, 15180 in decreasing order.\nAnswer: 15180, 5, 2\/9, -3\/4, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let h(l) = -l. Let b(n) be the second derivative of 31*n**6\/720 - n**4\/12 - n**2\/2 - 202*n. Let d(o) be the third derivative of b(o). Calculate d(h(r)).\nAnswer: -31*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and 1813189.\nAnswer: 906594.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*r - r**2 - 6*r + (-4*r**2 + 3*r**2 + 4*r**2)*(3 + 1 - 3).\nAnswer: 2*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67*g = 560*g - 159*g + 1231*g - 89205 for g.\nAnswer: 57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (2\/6)\/(3\/18). Let q be -1*(4 - 2) + p. Let o(x) = -5*x + 1. Let i(h) = 4*h - 2. Let g(l) = 4*i(l) + 3*o(l). Determine g(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 115868 or 21667262\/187?\nAnswer: 115868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*(sqrt(2057) - (sqrt(2057) + -1)*-4) + 2 + 3)*5)**2 + -3 + 4.\nAnswer: -140250*sqrt(17) + 11577851","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -3*h**2 + 2*h + 1. Let l be u(-1). Let j be ((-9)\/12*2)\/((-6)\/(-208)). Put 0, l, j in descending order.\nAnswer: 0, l, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 795 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52 = 5*w - 3*a + 6, 2*w = 4*a + 10. Let q(x) = -x**3 + 10*x**2 + 14*x - 15. List the prime factors of q(w).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 302 - 7 = 5*d. Let o = 12 - d. Let l = -28 - o. What is the remainder when l is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t = -t - 12, 0 = 4*u - t - 37. Suppose -i = i - u. Solve 0 = -2*f + 2*n + 10, -i*f - n + 0 + 7 = 0 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 148*k - 227 = -2299 for k.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-500)\/(-25))\/(0 + -4)?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 7\/((-315)\/18) + (-3288)\/(-8195). Is -1 <= i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -1057, -1073, -1085, -1087, -1073, -1037?\nAnswer: -973","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2*l**5 - 2414*l**4 + 141*l wrt l.\nAnswer: -40*l**3 - 28968*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 5*q + 0*q)*(1 - 2 - 3)*(-2*q + 0*q + 0*q).\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -2248.87 to the nearest one hundred.\nAnswer: -2200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -288 - -577. Is g a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1313011?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - (-5)\/(-10)) + 6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 518 > 517?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) be the second derivative of -s**5\/20 - s**4\/3 + s**2 + s. Let j = 3 - -1. Suppose 3*c - j = 4*c. Give y(c).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4\/18 + (-34675)\/(-657).\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 3 w when four letters picked without replacement from {w: 3, l: 3, u: 2}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9 + 1.9. Which is greater: -3 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9458271.\nAnswer: 3, 199, 5281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g - 68 = 6*g - 40. Which is smaller: -3\/11999 or g?\nAnswer: -3\/11999","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c + 5*m + 0*m - 18 = -0*c, 723*c - 706*c = -4*m - 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Total of 152.65 and 98.\nAnswer: 250.65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3244691, 2, -1, -5 in decreasing order.\nAnswer: 2, -1, -5, -3244691","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15 = 3*j - 6*j. Let f = 8 - j. Does 18 divide 3*(f - (-18)\/2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 123 a factor of 152360346?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 155, 398, 801, 1364, 2087, 2970?\nAnswer: 4013","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 456?\nAnswer: 2, 3, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 14, m: 5}. What is prob of picking 4 j?\nAnswer: 1001\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-2706)\/12)\/(-41))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -754*c + 821*c = -1255*c - 34372 for c.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 29570 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 + 2*n + 8. Let a be s(-6). Let z(m) = -2*m + 12 + 5*m + 2 - 2*m. Let b be z(-10). What is the greatest common divisor of b and a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 85125 and 3264.\nAnswer: 92616000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 0 + 8\/9*m**3 - 2\/9*m**4 + 4\/3*m + 22\/9*m**2.\nAnswer: -2*m*(m - 6)*(m + 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5 - 3. Let l(z) be the third derivative of -1\/120*z**6 + p*z**2 + 0 + 0*z**4 + 0*z - 1\/30*z**5 + 0*z**3. What is the third derivative of l(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + 13 + -4 - (5 + 1).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 6707068262\/337505565 + -10\/2934831. Let o be (-7)\/(-20)*(-36)\/(-322). Let p = w - o. Calculate the common denominator of p and -123\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a week in hours?\nAnswer: 210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 179935753 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 57267 + 87065 = 3*n + 5*b, n - 48110 = -b. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(2\/3))**(-5\/7)*l\/((l*l\/(l\/(l\/l**(4\/3))))\/l*l*l)*l\/l**(-1\/4))\/((l**(1\/4))**33)**(32\/7) assuming l is positive.\nAnswer: l**(-1053\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose f - 116 = -4*w - 25, -5*w + 107 = -f. What is the greatest common factor of w and 154?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1 times 0.037?\nAnswer: -0.037","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 113*d = 127*d - 28. Let a(b) be the second derivative of 0*b**d + 3\/34*b**4 - 7\/170*b**5 - 12*b - 2\/51*b**3 + 0. Let a(r) = 0. What is r?\nAnswer: 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1333 is divided by 19?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Round 3240610.89 to the nearest ten thousand.\nAnswer: 3240000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/6040 and 117\/70?\nAnswer: 42280","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a milligram in micrograms?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-10)\/(-15) + (172\/12 - 9). Solve a*x - 6 = -24 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28*j + 86 + 639 = -1375. Solve -19*s - 6*s = -j for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 - -3 - (3 - -1)) + 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l**(-1\/2)*l*l)**26*l*l**(-6)*l\/(l*l**3*l))**(-20) assuming l is positive.\nAnswer: l**(-600)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -n + 110. Calculate o(0).\nAnswer: 110","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -139529 (base 12) to base 4.\nAnswer: -1033322301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) = o**2 - 4*o - 1. Suppose 0 = -r + 1 + 1. Let l(n) = 3*n**2 - 5*n - 2*n**2 + 0*n**r - 3. Let h be l(6). Calculate i(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-980)\/420*-2*9\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 26\/4 + 6\/(-1). What is the closest to i in 3\/4, -2\/27, -4, -3?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2037280945 to the nearest integer?\nAnswer: 1268","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b - 30008 = 2*f, b + 18008 = -2*b - 2*f. What is b rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*g - 1 - 7 = 0. Suppose -z = 5*b - 5, -g*z + b - 4*b = -3. Suppose -3*w - 2*w + 255 = z. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 944464.449 + -945258. Let i = d - -793. What is i rounded to one dp?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in three fifths of a micrometer?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = 9*d - 3. Let n(m) = -60*m + 7. Let l(s) = 173*s - 21. Let g(v) = -6*l(v) - 17*n(v). Determine -4*g(f) - 9*k(f).\nAnswer: -9*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 175380937?\nAnswer: 571, 307147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: (-20)\/34*39*918\/(-3510)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 23378?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 3*k**3 + 6*k**2 + 3. Let s(l) = 3*l**3 + 5*l**2 + 2. Calculate -2*o(r) + 3*s(r).\nAnswer: 3*r**3 + 3*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5829?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 - 128. Let m = -16 - i. Calculate the remainder when m is divided by 22.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s - 6*d - 100 = s - d, 206 = 5*s + 2*d + 379 for s.\nAnswer: -35","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 13474*m + 13479*m - 26969*m - 2*m**2 + 46*m**3 as p*m**2 + x*m**3 + z + a*m and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 y and 1 u when two letters picked without replacement from ywu.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 38109 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -189 - -266. Let j = v + -82. Which is the smallest value? (a) j (b) -0.5 (c) 0.05 (d) -6\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 127754 - 127628. Suppose 2*m - 170 = -3*d + 126, 5*d + m = 491. Calculate the least common multiple of q and d.\nAnswer: 882","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 133 - 138. Let s = -0.05 - 0.04. Let t = s + 0.39. What is the third smallest value in t, -0.5, f?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o**(-21\/4)\/(o\/((o\/((o\/(o**(-40)\/o))\/o))\/o)))**8 assuming o is positive.\nAnswer: o**(-378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 34*g = 26*g + 13120. Let t = 2791 - g. Is t prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 13\/56 - 3\/8. Let b be ((-1)\/2)\/(3\/(-66)). Let u be (b\/22)\/(3\/4). What is the smallest value in i, u, -2\/11?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes before 4:06 AM?\nAnswer: 1:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2600 and 125.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -234570, -234745, -234920, -235095, -235270, -235445?\nAnswer: -235620","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the third derivative of t**5\/30 + 8*t**2. Let v(n) = n**2. Calculate x(v(d)).\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -85747*j - 1028736. Determine b(-12).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 57058 is divided by 383.\nAnswer: 374","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 10553, 21099, 31645, 42191?\n\"Answer: 10546*k + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*a**2 - 11754*a + 11754*a.\nAnswer: 2*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.94 + 1. Let p = 3.06 - j. Let i(x) = 416*x + 1. Let h be i(0). What is the second biggest value in h, p, -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g**(-1\/2)*g**8\/g)\/((((g*(g*g\/((g\/(g*g**(-2\/9)\/g*g))\/g)*g)\/g*g)\/g)\/g)\/g)**26 assuming g is positive.\nAnswer: g**(-715\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(o) be the first derivative of o**6\/480 + o**5\/40 + o**4\/8 - o**3\/3 - 36. Let w(n) be the third derivative of t(n). Factor w(x).\nAnswer: 3*(x + 2)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -65*f - 930 + 8405. What is the remainder when f is divided by (36\/(-5))\/((-3)\/10)?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -61 in -0.296, 0.24, 3, 4?\nAnswer: -0.296","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(t) = 16*t - 206. Let l be c(11). Let f be (11 - (-285)\/l)*4\/6. Solve 3*p = 2*p + f for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -12*j - 15. Let a be y(5). Let h = a - -225. Suppose 70 = 5*f - 80. Calculate the greatest common divisor of h and f.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 158025 by 25.\nAnswer: 6321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 5\/4, 2\/3, 5, 2, 3\/14 in decreasing order.\nAnswer: 5, 2, 5\/4, 2\/3, 3\/14, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 4149900022?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -u - 0 + 9. Is (-5)\/((-15)\/u) - -550 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1781664 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 5038865 to the nearest integer?\nAnswer: 171","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10 + 1 - 4 - 17?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1 + (sqrt(28)*-2 + sqrt(7) - (3 + (sqrt(7) + sqrt(7)*4)**2)).\nAnswer: -179 - 3*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-6)\/(-27))\/((-58)\/522).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 8 - 3. Suppose -o*g + 21 = -2*g. Suppose -f - 4*f + h + 19 = 0, 4*h + g = -3*f. What is the units digit of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 262 at most as big as 79382?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-4 - -9)*16\/(-20) + 31681 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3*14\/(-35)*15\/6?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -23093 - -23098. Solve -16 = -a*z + s, 5*z + 17 = -3*s + 49 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1522029541?\nAnswer: 8521, 178621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -174\/1601 or 62?\nAnswer: -174\/1601","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 39\/40 and (-10)\/(-8) + -1 + 2745\/(-108).\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -29 or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 3, o: 3, r: 2, q: 1, x: 3, n: 3}. Give prob of picking 1 x and 2 r.\nAnswer: 3\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11236)\/2134840*((-3 - 7\/(-2)) + 2).\nAnswer: -1\/76","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the second derivative of 29*t**6\/240 + t**5\/15 + 45*t**4\/4 - t + 55. Let k(i) be the third derivative of q(i). Differentiate k(n) with respect to n.\nAnswer: 87","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 15838, 31678, 47518, 63358?\n\"Answer: 15840*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of -5*h**3\/6 - 6*h**2 - 222*h. Let o(k) = 29*k + 68. Let l(m) = -6*o(m) - 34*r(m). Let d(f) = -21*f**2 + 1. Calculate l(d(v)).\nAnswer: 84*v**2 - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) be the second derivative of u**9\/3780 - 3*u**8\/2800 + u**7\/700 - u**6\/1800 + u**3\/3 - 9*u. Let w(i) be the second derivative of r(i). Factor w(n).\nAnswer: n**2*(n - 1)**2*(4*n - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -245 + 268. What is the highest common divisor of b and 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ckcccckccckkkkcckkkc. Give prob of picking 2 k.\nAnswer: 18\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*h - h**3 + 2*h + 3*h**3 - 4*h**3 + 2*h**3 - 2*h**3 + 2*h**3 + 2*h**3 + (-2*h**2 + 4*h - 4*h)*(0*h + 0*h + 2*h))*(1434 - 1434 - 34*h).\nAnswer: 68*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3235495.\nAnswer: 5, 647099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1118039, 1118030, 1118021, 1118012?\nAnswer: 1118003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 420 minutes before 8:31 AM?\nAnswer: 1:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*g + 0*g - 28 = 0. Solve g*p + 2 = -8 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/24*-4)\/((-1)\/(-183)) - (-750)\/(-75)?\nAnswer: -71","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 + 7*m**2 + 10*m - 11. Let s be h(8). Suppose s = -q + 11. Suppose -9 = -3*t + 15. Calculate the lowest common multiple of t and q.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d + 3*o = 2429985, -4*o - 1620020 = -2*d - 0*o. Suppose -11*h + 6*h + d = 0. Round h to the nearest 10000.\nAnswer: 160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1313231020122 + -3?\nAnswer: -1313231020131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2\/(12 + -2))\/((-123)\/(-820))?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*a - 76*a = 7. Let v(w) = w**2 + 8*w + 6. What is v(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -10028164 (base 9) to base 3\nAnswer: -100000222012011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in 0, 0.2, 274, 0.07?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -66*y + 294 + 179*y**2 + 66*y - 294.\nAnswer: 179*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -37\/60 and -47\/85944?\nAnswer: 429720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 13661 * -7\nAnswer: -95627","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -2*sqrt(1573) + -1)**2*-6.\nAnswer: -37848 + 1056*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) be the first derivative of b**4\/4 + 5*b**3\/3 + 2*b**2 - b - 12. Suppose -7 = 4*l + 9. What is f(l)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*f**4 + 4*f**4 - 3*f**4 + (0 + 0 + f**2)*(-3*f**2 + 0*f**2 + 5*f**2) + 3*f**4 + 4*f**4 - 3*f**4.\nAnswer: 3*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -12, -6, 12, 48, 108, 198?\n\"Answer: z**3 - z - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 400 and 1928?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 3 = -12. Does 12 divide (-645)\/(-9) - f\/(-9)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(d) = 1543*d**3 - 32*d**2 - d + 8. Let n(y) = -514*y**3 + 12*y**2 - 3. What is 3*a(o) + 8*n(o)?\nAnswer: 517*o**3 - 3*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -9646.09 - -9687. Let q = t + -45. Let k = 0.09 + q. What is the smallest value in 4, k, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*l + 7. Suppose -125 = -l*w - 2. What is the units digit of w?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1201 (base 3) to base 16\nAnswer: -2e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 9 + -7 + (48\/(-2) - -1). Let w be (-18)\/3 - (1 + 2)*-1. Sort 3, m, w in decreasing order.\nAnswer: 3, w, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 144070?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 108 (b) -105 (c) 27 (d) 4 (e) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round -19931.37 to the nearest one hundred.\nAnswer: -19900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 644763 is divided by 122?\nAnswer: 115","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 2266 = 2*w + 3856, 0 = 2*w + 2. Suppose -12*d = -3*d - n. Is d a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 7554633?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 22, -1, -397, 1, 4, 884, -2 in descending order.\nAnswer: 884, 22, 4, 1, -1, -2, -397","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98*v**2 - 1\/2*v**5 + 9*v**4 - 165\/2*v - 49*v**3 + 25.\nAnswer: -(v - 10)*(v - 5)*(v - 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**3 + 10*c**2 - 11*c + 6. Let g be a(-11). Let l = g + 9. Suppose 7*p = 4*p + l, 3*d + 2*p = 313. What are the prime factors of d?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 205150 by 746.\nAnswer: 275","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 49 (b) -1\/8 (c) -2 (d) -2\/7 (e) 4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jjj when three letters picked without replacement from {j: 3, g: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 17 - 3*h**2 - 17.\nAnswer: -3*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u + 11 = 4. Suppose -3 = 3*w + 5*j + u, 6 = 4*w - 3*j. Suppose -3*y - 16 + 46 = w. Calculate the highest common factor of y and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -96096 divided by 28\nAnswer: -3432","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/((-80)\/30))\/((-27)\/(-4)). Factor -m*o**2 + 0 - 4\/9*o.\nAnswer: -2*o*(o + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 - 6. Let x(r) = 13*r**2 + r - 1. Is 8 a factor of x(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 787*d - 6 + 11 - 11 + 6 to b*d + r and give b.\nAnswer: 787","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 s when two letters picked without replacement from ccxiiismiiscxsmsicai.\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13 is divided by (3\/6)\/((-4)\/(-64))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*q**5\/7 - 668*q**4\/7 + 45692*q**3\/7 + 1675288*q**2\/7 + 14235650*q\/7 + 22146436\/7 = 0. What is q?\nAnswer: -13, -2, 181","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -86*f**3 + 2*f**2 - 2*f. Let y(s) = 258*s**3 - 7*s**2 + 7*s. What is 7*t(p) + 2*y(p)?\nAnswer: -86*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 6*d**2 + 3*d + 8. Give c(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*m = -5*k + 23, 2*k + 130*m - 129*m = 17 for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 5 = -i, 2*w + 3*w = 5*i - 45. Let t = i - -1. Let m be ((-6)\/t)\/((-6)\/27). Solve p - 2 = -m for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*p + 93*p + 152 = -79*p + 6346 for p.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: ((-3)\/10)\/((-15)\/10)\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 776*j - 718*j - 74 - 42. Factor -2\/11*x**j + 4\/11*x - 2\/11.\nAnswer: -2*(x - 1)**2\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ppuipipi. Give prob of picking 1 u, 2 i, and 1 p.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 486990382?\nAnswer: 2, 83, 2933677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -78409\/39930 + -4\/1331. Let z = 2587\/240 - -31\/80. Calculate the common denominator of f and z.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 150?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 49705362?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 574.\nAnswer: 2, 7, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (11 - (-1 + (23 - (11 - 0)))) + -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11834483 and 13373.\nAnswer: 311","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r + 3*r = 0. Let y be 0 - 0 - (-2 + r). Suppose 34 = y*s - 26. What is the highest common divisor of s and 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 432554 a multiple of 571?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -257*t*u**5*x**2 + 11*t*u**3*x + 25648*t*u*x**2 - 2*u*x**2 wrt u?\nAnswer: -5140*t*u**3*x**2 + 66*t*u*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) be the first derivative of -27*y**4\/32 - 7*y**3\/8 + 3*y**2\/8 + 302. Let l(a) = 0. What is a?\nAnswer: -1, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1907143 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -1099*n + 1. Let v be m(-1). Suppose 3*o - 704 - v = 5*r, -4*r = -4*o + 2408. List the prime factors of o.\nAnswer: 3, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 5 - 13?\nAnswer: -b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**3 - 6*p**2 + 13*p + 40. Calculate v(7).\nAnswer: 180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 582216528 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5209 + -948083\/182. What is the common denominator of 35\/468 and b?\nAnswer: 3276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7\/12*(-7290)\/3780*30\/9?\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (0 + 0 + 2)\/((-36)\/(-144)). Suppose l + 37 = 3*d. Solve -5*i = 2*j + j - d, 5*j + i = 3 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) be the third derivative of w**6\/120 - w**5\/20 - 5*w**4\/24 - 5*w**3\/6 + 4*w**2. Calculate the remainder when 58 is divided by q(5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 46 (b) -5 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -102165, -204338, -306529, -408738?\nAnswer: -510965","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -15355 - -27734. Is i prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 22292.127 and 20320.\nAnswer: 42612.127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-1 + 3)*2\/(-4)*3?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ooiiqiiiqqo. What is prob of sequence io?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 102432 - 1204024?\nAnswer: -1101042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 0 + -2 - (2 + 25). Suppose -1098 = 286*q - 280*q. Let b = o - q. What are the prime factors of b?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 2*u + 3*u - 79424. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -16020 = -16020?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:12 PM and 8:05 PM?\nAnswer: 173","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -3482, -13987, -31508, -56045, -87598, -126167, -171752?\nAnswer: -224353","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 574019041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the first derivative of 4*x**3\/3 - 9*x + 7. What is the first derivative of t(z) wrt z?\nAnswer: 8*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 17*p - 620. What is x(35)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-two fifths of a century in months?\nAnswer: 10080","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-5*c**2 + c**2 + c**2)*(-534 - 3*c + 208 - 1316) to the form u*c**3 + w + m*c + j*c**2 and give u.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (4\/((-252)\/(-67)))\/((-100)\/(-15)) and -19\/1120.\nAnswer: 3360","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = 3153*g - 1. Let h be z(6). Suppose -4*u + h = 246917. Round u to the nearest 10000.\nAnswer: -60000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -45.2 + 41.86. Let d = r + 3.340000006. What is d rounded to seven decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 2771*t + 3343*t + 13 + 37.\nAnswer: 6114*t + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = g**2. Let q(u) = 42381444*u. Determine q(i(o)).\nAnswer: 42381444*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 923215617?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ng when two letters picked without replacement from {n: 3, g: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-one fifths of a century in decades?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-4*2*-5*(2*(-2 + sqrt(300)) + -1))**2.\nAnswer: -5120000*sqrt(3) + 31360000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + d - 5 = -3*f, -2*d = -2*f + 6. Suppose y - 2*v + 4 = 0, -4*y + 12*v - 8*v = 4. Suppose s - 58 = -7*c + y*c, f*c = -3*s + 109. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 157*l - 159*l + 28 = -3*k, 171*l - 84*l + 33 = 84*l - 3*k for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -21919 take away -151.019?\nAnswer: -21767.981","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**31\/f**(-34))\/(f**(1\/15)\/(f*f**(-5\/4)*f)) assuming f is positive.\nAnswer: f**(3941\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*j = 4*t + 20, 5*j - 2*t = -0*t - 18 for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*u = 19*u + 30. Suppose u*k = -4*q + 11, q - 4 = -0*k - 2*k. Factor 1\/4*n**q + 1\/4*n - 1\/2.\nAnswer: (n - 1)*(n + 2)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -11 - (56 - 49 - 297\/12).\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 33.46407ml in litres?\nAnswer: 0.03346407","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(252) - sqrt(252)*1*-3 - sqrt(252) - -1*sqrt(252)*-3)\/(((sqrt(243) + sqrt(27))*4)\/((sqrt(18) - (sqrt(18) + (sqrt(18)*-2 - sqrt(18))))\/sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-710)\/(-1420) + (-33)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -411? (a) 3 (b) -1.7 (c) -0.0203\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (134 - -16) + 0 + -2 + 1.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = -4*f**2 + 1. Let q be u(-1). Sort q, -3\/2, 3 in ascending order.\nAnswer: q, -3\/2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 237 is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.05 - -1.05. Which is the fourth smallest value? (a) 0.4 (b) o (c) 1\/2 (d) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 159 - 52 - 50 - 57 + m.\nAnswer: m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t = 6*t + 9 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1998230 is divided by 499547?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 - (0 + 0 + (-7 - 1)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -542 - -57.\nAnswer: -485","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13*(-12 + 13) + -33\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*d - 3*x + 7*x + 205, -5*x + 160 = -5*d. Let a = -16 - d. Calculate the remainder when 61 is divided by a.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 5 - -13. Let n = -17.46 + v. Round n to 1 dp.\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) be the third derivative of 1\/420*b**6 + 0 + 0*b - b**2 + 0*b**5 + 0*b**3 - 1\/84*b**4. Let l(y) = 0. What is y?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q**2 - 7516780*q - 2825099078420 = 0.\nAnswer: -751678","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 21 (b) -1 (c) -0.2 (d) -0.5 (e) 0.7 (f) 0.382\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 42*r = -12*r - 827 - 91 for r.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c(k) = k**2 + 2*k - 3. Let h be c(-3). Let l(o) = -o**2 - 5 + 12 + 8*o + h*o. Let w be l(9). Which is greater: -6\/7 or w?\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -26303 - -45946. What are the prime factors of i?\nAnswer: 13, 1511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*d + 5*d = 4*g - 2*d - 4*d + 1, -7*g + 0*g + 7*d - 49 = 0 for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 32 - ((37 - -9) + -19) - (2 + 0 + 7)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 5, o: 2, e: 2}. What is prob of sequence wo?\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/3? (a) -0.7 (b) -105 (c) -51386\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Divide 269099520 by 12.\nAnswer: 22424960","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-15)\/6)\/((-2)\/4). Suppose 3*p + 4*n = y*n - 13, -14 = 2*p + 2*n. Calculate the common denominator of -97\/14 and 1\/p - (-1707)\/210.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 8 + 0*z**2 + z**2 + z**2 - z**2 + 4*z. Let v be r(-4). Suppose -2*b + 680 = v*b. What is the tens digit of b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oav when three letters picked without replacement from {a: 1, o: 1, f: 1, t: 2, v: 2}.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = -r**2 + 16*r - 24. Is w(10) a multiple of 6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s + 15 = s. Suppose 5*u - 2*j = 2*u - 2, s*j - 16 = -2*u. What is the smallest common multiple of 260\/22 + (-13)\/(-11) + -1 and u?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 4, -8, 0, -2.6, -0.771, -4?\nAnswer: -0.771","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8.639793 litres in millilitres?\nAnswer: 8639.793","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2*sqrt(196))\/sqrt(7))\/sqrt(4).\nAnswer: -2*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 11451579?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 48 and 72?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 71\/1134820 and 143\/1410.\nAnswer: 160009620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73064779 rounded to three dps?\nAnswer: 0.731","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*o + 4*o + 2*o + 7095. Calculate the smallest common multiple of o and 387.\nAnswer: 1935","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 27 divide 2285?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 616094250.\nAnswer: 2, 3, 5, 821459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -5\/53986 - -54031\/485874. Factor 4\/9*i**2 + 4\/9*i - d*i**4 - 1\/9*i**3 + 0.\nAnswer: -i*(i - 2)*(i + 1)*(i + 2)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 6\/10*8\/(-48)*2\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.05 + -0.15. Let l = u - 0.4. What is the biggest value in 2\/5, l, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*o = -22*o + 32 for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 36 divided by -3\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 9598*u - 19574*u + 5085*u**5 + 1011*u**5 + 1539*u**5 wrt u.\nAnswer: 152700*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4+627\nAnswer: 631","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l = 3*l. Let p = -38 + 38. Suppose 4*b + 12 = p, 5*b - 4*b + 11 = 2*q. Put -3, l, q in decreasing order.\nAnswer: q, l, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 66, 2\/17, 4 in descending order.\nAnswer: 66, 4, 2\/17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 50064 and 11692030.\nAnswer: 280608720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = -308*a**3 + 612*a**3 - 21 - 303*a**3 - 7*a**2 + 3*a. Calculate o(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 132\/(-231)*196\/(-7)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 x and 1 o when two letters picked without replacement from xkkrkxxxxrkrao.\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -74 = -2*p - 4*n, -4*p = 4*n - 128 - 36. Calculate the smallest common multiple of 81 and p.\nAnswer: 405","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 96 and 26457344?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6230*l - 17920*l - 952825 = -7193*l + 200251 for l.\nAnswer: -68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in one twentieth of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 2 m when three letters picked without replacement from wwwwwwmwxmwwmwwww?\nAnswer: 39\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 - 2*z)*(-1 - 1 + 3) - 2*z - 3 + 3 - 2*z + 1 - 1 + 2*z + 1 - 1 + 15 + 10*z - 15.\nAnswer: 6*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 409 divide 6372629?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = g - 8. Let x(m) = 2*m + 4. Let h be x(1). Suppose 14*v - h*v = 40. Suppose -3*p - 2*p - 45 = 3*r, -v = r. Determine o(p).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5 + 10. Let s(z) = -5 + 3*z + 3 - 2*z. Let d be s(5). Solve v*k - k + 8 = 0, 4*k - 7 = -d*w for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 53.352 rounded to 1 decimal place?\nAnswer: 53.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -101\/24675 and -76\/14595.\nAnswer: 3429825","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 2125 - 1667. Solve 4*q - 474 + k = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 5908 + -3267. What are the prime factors of a?\nAnswer: 19, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 165 - 165. Let g be 54\/(-5)*(6 - 16). What is the common denominator of ((-350)\/g - t) + -2 + 3 and 77\/10?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -139*z + 144*z - 10. Let o(v) = -6*v**z - 5*v**3 - 1 + 6*v**3 - 1 + 6*v. Determine o(6).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 4, 362 in descending order.\nAnswer: 362, 4, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (-22 - 13) + 3.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 10 + w + 2 - 17 to m*w + y and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 552632.\nAnswer: 2, 37, 1867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 197 minutes before 12:46 PM?\nAnswer: 9:29 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4373 to the power of 1\/7, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 3*43.59\nAnswer: 130.77","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 0 - 6*f**2 - 7 - 7*f + 5*f**2. Determine l(-5).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -17783390 by 5.\nAnswer: -3556678","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2398735 and 2.\nAnswer: 4797470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:29 AM and 9:45 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*l + 3*l + 25, l = -3*x - 20 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 97501 is divided by 401?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2 - -3909?\nAnswer: 390b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-5))**(-7) assuming y is positive.\nAnswer: y**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 11*l**5 - l**4*r**2 + 2*l*r**2 - l*r + 3*r**2 wrt l.\nAnswer: 220*l**3 - 12*l**2*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = w**3 - w**2 + w - 1. Let l(o) = 24*o**3 - 8*o**2 + 8*o - 8. Calculate -8*i(a) + l(a).\nAnswer: 16*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 = 4*j - 1 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3\/5 (b) -0.1006 (c) -2 (d) -1520\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 36 - 32.6. Is -1 smaller than y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 minus 27459.311?\nAnswer: -27457.311","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let o(y) = y**3 + 5*y**2 - 51*y - 41. Calculate o(-10).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (88 - 43) + 14 - 95\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) 0 (b) -3 (c) -25\/3 (d) -19\/4 (e) 1\/5 (f) -5 (g) 37\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -2*z**2 - 186*z - 535. Calculate the remainder when 2214 is divided by g(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 959*s + 713 - 1655 = 17*s for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort 7, 4\/7, 5, 1036946 in ascending order.\nAnswer: 4\/7, 5, 7, 1036946","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 64706*d**2 - 8100*d?\nAnswer: 129412","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vxcvxvccxvvcvvcxvx. Give prob of picking 1 x and 2 v.\nAnswer: 35\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 5360087 a multiple of 1278?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/4 of a century in months?\nAnswer: 4500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 49 + -45 - 3*1. Let v(h) = -7*h**3 + h**2 + 2*h - 2. Calculate v(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -2*n**3 + n**2 + 6*n - 1. Let f be y(0). Let z = f + 22. What is the remainder when 458 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9445 + 8414 = 287*o - 7058 for o.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 0 + 2*o)*((2 + 0 - 1)*(-5*o + 5*o - o) + 0*o + o - 2*o) in the form j + s*o**2 + r*o and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = -p**2 + 6*p + 10. Let r be k(7). Let i(s) = 4 - s + 3*s - r. What is i(-4)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 87985?\nAnswer: 5, 17597","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5*o**3 + 485*o**2 + 2556 + 17*o**3 - 2556 - 485*o**2.\nAnswer: 12*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15.86 - -13.9. Let o = 0.96 + l. What is the closest to -8 in 3, -3, o?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 5 - 2. Let l(c) = -d*c + c + 4*c. What is l(3)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = -6*h**2 - 313*h + 62. What is the lowest common multiple of 57 and t(-52)?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2 + 0.153555?\nAnswer: -0.046445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 12 - 4 = 0. Let n(y) = -5*y - 4. Let v be n(-3). Let w = t + v. What is the remainder when w is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 7 + 1 + -1 + -5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = x**2 + 8*x - 5. Let c(o) = -o**2 - 8*o. Let f be c(-9). Let i be u(f). Find the third derivative of 3*t**2 + 3*t**2 - 3*t**i - 3*t**2 + 5*t**4 wrt t.\nAnswer: 48*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 5.459 and 11.\nAnswer: 16.459","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is fourty-three halves of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.39308t in micrograms?\nAnswer: 20393080000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.096, 1.05, 2, -1, 1.5, -15?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4631 - 4573. Let k(v) = v**2 - 6*v + 6. Calculate the lowest common multiple of k(6) and f.\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 4*x**2 + 6*x**4 - 4*x**2 + (6*x - 2*x**2 - 6*x)*(-x**2 + 3*x - 3*x).\nAnswer: 8*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*h**3 - 180*h**2 - 33844*h - 164220.\nAnswer: 4*(h - 119)*(h + 5)*(h + 69)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 10115.2683 to the nearest 1000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 344 + -9123\nAnswer: -8779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 1488 divided by 4\nAnswer: 372","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 3 - 2 + (1 - 1 + 4)*(-1 + 4 + 0))*(-8*x**3 - 2*x**3 - 3*x**3) to the form r + q*x + z*x**2 + o*x**3 and give o.\nAnswer: -130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*m + 99*m + 18*m)*(0*m**2 - 7*m**2 + m**2) + 2*m**3 + 3 - 3 + (3*m - 6*m + m)*(-3*m**2 - 3*m**2 + 3*m**2) + 2 - 2*m**3 - 2.\nAnswer: -696*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -43875820 divided by -5.\nAnswer: 8775164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-15)\/(-10) - 3\/(-2). Let j(v) be the first derivative of 2\/3*v**r - 2*v**2 - 3 + 0*v. Find the second derivative of j(c) wrt c.\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 19 - ((-54 - -79) + -26).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 10*(5 - (-9425)\/(-1963)) - (5 + (-1 - 2))?\nAnswer: -2\/151","meta":{"dup_signals":{},"source":"arithmetic__mixed_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: Expand (548 + 521 - 941)*(3*t + 2*t - 4*t) - 5*t - 2 + 7*t + 2*t + 3*t + t - 2*t + t + 0*t + 0*t + (-t + 2*t - 3*t)*(0 - 2 + 4).\nAnswer: 131*t - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (8770\/15)\/(12\/18) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 70638 and 14273508.\nAnswer: 1158","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -2505 divided by -234\nAnswer: 835\/78","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7443?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:48 AM and 2:06 PM?\nAnswer: 618","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = 2471*f - 345915. Give r(140).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in one quarter of a century?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = -v + 1. Let f(t) = -10*t + 6. Let q(y) = f(y) - 8*w(y). Let p be q(-6). Let c be 6*(p\/(-4) - -3). Solve 22 = c*j + 7 for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*x = 2*i - 16009, x = -4*i + 2080 + 3273. Is x a multiple of 44?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1187128 or 1187129?\nAnswer: 1187128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -43*x - 252. Give f(-21).\nAnswer: 651","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 29 - 21. Suppose -2*x - 6 = -u. Which is the biggest value? (a) -4 (b) 2 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -466, -5, 7787 in increasing order.\nAnswer: -466, -5, 7787","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: -1 + (-5)\/(-3) - 120\/(-90)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1331 + -1207. What is the remainder when 365 is divided by p?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is e7665 (base 15) in base 13?\nAnswer: 1c9019","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - 1 - (0 + 2 + 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -r. Let p = 5 - 8. Let g(f) = 2*f**2 - 3*f. Suppose -1 - 3 = -4*v. Calculate p*m(d) + v*g(d).\nAnswer: 2*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 117 a factor of 5641623?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*b**3 + 79645*b**2 + 316647975*b - 4129894665.\nAnswer: 5*(b - 13)*(b + 7971)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -36 - -32. Let k = 12 + -11.6. Let d = -0.3 + k. Which is the closest to d? (a) u (b) 1\/18 (c) 2\/11\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*m - 39574*k = -39569*k + 22, 0 = m + 5*k + 21 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c*(c*c*(c\/(c\/c**(10\/7)))\/c)\/c*c)\/(c\/c**(4\/17))*(c**(-1\/16)*c)\/(c\/(c\/(c**(-1\/14)*c*c))) assuming c is positive.\nAnswer: c**(455\/272)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 3277431872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 128, -0.07, 0.4, -5, 2, 1.4, -2?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -32 - -34. Let o be (-44)\/10 - 1*z\/(-5). What is the smallest value in o, -2, 0.02?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 16 - 16 + 8*j + (2 + 0 - 1)*(2*j + 0 + 0) + (3*j - 3*j - j)*(-2 - 1 + 4) + 6 - 34*j - 6 in the form n + f*j and give f.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 2210505 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 69*z**3 + 116*z + 15*z**4 - 365*z + 21*z**4 + 22*z**4 - 55*z**4 wrt z.\nAnswer: 36*z**2 + 414*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 o and 1 a when two letters picked without replacement from ixaiaoooaa.\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(-10) - 4\/20. Suppose r = -5*n + 51 - 6. Suppose -2*k = x - 5, -k = -5*k - 8. Calculate the greatest common factor of x and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1324 to the power of 1\/2, to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -4, 1\/3, 47, 0.4 in decreasing order.\nAnswer: 47, 0.4, 1\/3, 0.02, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*r**4 + 131*r**3 - 2201*r**2 + 5325*r + 7650 = 0. What is r?\nAnswer: -30, -1, 5, 51\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -54658*c = -54658*c + 3*r, c = -4*r + 3 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 905?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -5*11\/((-924)\/(-21))\nAnswer: -5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 6972?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 67499 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is (289\/(-136))\/((-41)\/(-328))?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -35958*m**3 + 7*m**2 + 14788037*m.\nAnswer: -215748*m + 14","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:39 AM?\nAnswer: 12:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) = -v + 6. Let y(m) = -3*m - 1. Let c(f) = -4*f**2 - 31*f + 3. Let a(q) = c(q) - 6*y(q). Let k be a(-4). What is b(k)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 21 = 3*n - 0*n. Calculate the remainder when 26 is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 128 and 43712?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 2*f**2 + 18*f - 1148. What are the prime factors of u(69)?\nAnswer: 2, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*z**2 + 59*z - 59*z)*(0*z**2 + 0*z**2 - 2*z**2) - 8*z**4 + 2*z**2 - 2*z**2.\nAnswer: -20*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kg when two letters picked without replacement from kig?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -28387204 * 3.3\nAnswer: -93677773.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -3 - ((-15 - -21) + 2 + -3)\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 152 or -35?\nAnswer: 152","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.008333 - 0.491667. Let o = 42 + -125\/3. What is the nearest to 2.2 in x, 0.5, o?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 30*r**2 + 8*r. Let f(a) = -a**2 - a. Give -8*f(t) - m(t).\nAnswer: -22*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 840 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 + 3*c + 10. Let v be b(6). Let l(s) = s**2 + 7*s - 7. Let t be l(v). Calculate the remainder when 127 is divided by (1*t*-16)\/((-3)\/6).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.2733548 + 87.2748648. Let x = m + -86. What is x rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 14065275?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -193 - -195. Suppose -v = -0*v - 3. Suppose 2*r + v*r - r = 0. Solve 4*t + z - 10 = r for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2.9 + 0.9. Is 0.1 less than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 327424848?\nAnswer: 2, 3, 29, 8111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4410387?\nAnswer: 3, 461, 1063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = 2*t**2. Suppose 0*c = c - 3. Suppose 5*z - 16 = -c*z. Let r(y) = 22*y**2 - 14*y**2 + 3*y**z. What is a(r(p))?\nAnswer: 242*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*f - 18 = -0*f. Let b be 416\/234 - f\/(-9). Suppose -r = -b*y + 8, 7 = 3*r + 13. Solve 5*l + 4*a = -11, 0 = -y*a + 4 - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(m) be the first derivative of m**5\/60 - 5*m**4\/24 - 5*m**3\/6 + 3*m**2\/2 + 4. Let j(a) be the second derivative of w(a). Let t = 56 - 51. Calculate j(t).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 18965 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 minutes after 12:28 PM?\nAnswer: 3:18 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h + 6 - 4*h + 2*h + 2*h. Let p be v(-4). Solve 0 = -5*z + 4*w - 32, 4*z + 23 = p*z + 5*w for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 707 minutes after 9:43 PM?\nAnswer: 9:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}