diff --git "a/data/dm_maths/full_data_1/1966_11255.jsonl" "b/data/dm_maths/full_data_1/1966_11255.jsonl" new file mode 100644--- /dev/null +++ "b/data/dm_maths/full_data_1/1966_11255.jsonl" @@ -0,0 +1,10000 @@ +{"text":"Question: Calculate the least common multiple of 302404 and 1.\nAnswer: 302404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a minute in seconds?\nAnswer: 15","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -225761.6 rounded to the nearest ten thousand?\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -297*h**2 + 103*h**2 + 100*h**2 + 42*h**2.\nAnswer: -52*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((o**5*o\/(o*o\/(o\/(o*o\/o**(-2\/25)))*o))**(3\/29))**(-41))**(-17) assuming o is positive.\nAnswer: o**(100368\/725)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1001\/3 + 345. Let i = -11 + x. Let l = 0.4 - 0.7. Which is the nearest to i? (a) -3 (b) 5 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 21*h - 32*h + 63*h - 1 in the form i*h + u and give u.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*p - 2*p + 2*p + (2 + 4*p - 3*p - 2*p)*(67 + 43 - 84) to the form a + u*p and give u.\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 50 + -62. Let v be 4 + 6*(1 - m\/(-8)). Solve 12 = 3*z, -5*l + 30 = z + v for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 75\/4 of a microgram?\nAnswer: 18750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 571 + 144?\nAnswer: 715","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = 115*a**2 + 1268*a + 33. Calculate n(-11).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 2\/4283 + 8560\/12849. What is the nearest to 3 in 1\/9, w, 0.1, 1\/3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find g such that -3*g**5\/2 - 717*g**4\/2 - 28431*g**3 - 737040*g**2 + 940800*g + 4608000 = 0.\nAnswer: -80, -2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = v**2. Let a(k) = 605651*k. Give a(p(q)).\nAnswer: 605651*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36571 divided by 36571.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 81 = k, -v - 20 = -359*k + 363*k. Put -3, 3, 5, -1, v in increasing order.\nAnswer: v, -3, -1, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1773739541 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f**2 + 12*f - 14. Let n be c(11). Calculate the common denominator of n\/(-2)*(-120)\/99 and 83\/6.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34*t**3 - 164*t**3 - 110*t**3.\nAnswer: -308*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2 - 2*v**5 - 2 + (2 + v - 2)*(-v**2 - v**4 + v**2) + v**2 - v**2 + 2*v**5 - 2*v**2 + 2*v**2 - 2*v**5 + 0*v**5 - 3*v**5 + 2*v**5.\nAnswer: -4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert d008 (base 16) to base 2.\nAnswer: 1101000000001000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*f + 5 = -0*f. Is f*2\/(3 + -4) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 0 + 4*2\/4. Let q be (s\/(16\/(-5)))\/(-1). Let w = q - 1\/8. Which is smaller: w or 2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -1 - -0.9. Let o = -0.9 + c. Let m = 5 + -5.5. What is the second biggest value in m, 2\/9, o?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -56 + 12 - 37 + 8*f - 34 - 35 in the form q*f + l and give q.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = p**2 - p + 9. Is 9 a factor of r(0)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 213 is divided by 12.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Subtract -0.142 from -85.\nAnswer: -84.858","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 27 = 3. Let c(n) = -2*n + 4. Let k = -4 - -3. Let z(p) = 1. Calculate k*c(j) + w*z(j).\nAnswer: 2*j + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 26 minus -40.8045394?\nAnswer: 66.8045394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor a**5 - 27*a**4 + 26*a**3.\nAnswer: a**3*(a - 26)*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -40*k**4 - 43*k**3 + 78*k**4 - 34*k**4 - 2988 - 67*k**3 - 141*k**3 wrt k.\nAnswer: 16*k**3 - 753*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/(-6)*((-225)\/(-250))\/((-1)\/5).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2 + 4 + ((sqrt(1944) + sqrt(1944) + sqrt(1944)*3)\/(-3*sqrt(8)*-3))**2)*3*3.\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = w**3 + 8*w**2 + 2*w - 11. Let z be d(-8). Let v = z - -46. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.1036 + -0.021. Round j to two decimal places.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 25 + (3 + -4 - -1). Let c = u - 9. What is the highest common factor of c and 112?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (0 - (-12)\/4)*1. Suppose -5*b = -f - 43, -3*f + f - 51 = -o*b. Let c = -4 - f. What is the tens digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = 27*q + 5. Let x(m) = -176*m - 32. Let i be (0 - -1)\/((-4)\/20). Let g(n) = i*x(n) - 32*o(n). Let v(s) = 2*s. Give g(v(j)).\nAnswer: 32*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5\/8, 58, 0.38?\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2224676 is divided by 3262?\nAnswer: 3254","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 67 = 6*s - 11*d + 339, 7 = 3*s + d for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3521 (base 6) to base 15.\nAnswer: -3b1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 0.031 and -4842.433291.\nAnswer: -4842.402291","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 749, 1497, 2245?\nAnswer: 2993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*h - 30*h + 83*h - 25*h + 17*h**2.\nAnswer: 17*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) be the first derivative of 7*w - 22 - 1\/2*w**4 + 7\/3*w**3 + 0*w**2. Let a(b) = b**3 - 3*b**2 - 3. Give 7*a(h) + 3*f(h).\nAnswer: h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = i**2 - 3*i - 4. Let m be p(4). Differentiate m - 4 - y**2 + 2 - 3*y**2 wrt y.\nAnswer: -8*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -5 - -1 - (5 - 8)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100100000000111010000110 + -1?\nAnswer: -100100000000111010000111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of (-1300)\/(-294) - (-132)\/(-33) and 41\/105?\nAnswer: 735","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = y + 7. Let c(d) be the third derivative of 0*d + 0 + 1\/60*d**5 + 1\/4*d**4 + 1\/2*d**3 - d**2. Calculate c(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 43845757 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*b = -3, -1 = g + 4*b - 20. Suppose 8 = -g*i - 5*r, r = -2*i + 4*i - 12. Solve -i*w + w + 6 = 0 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11 = 3*s + 2*a + 1, -5*s = 5*a - 15. Suppose -6*v + 2 = -s*v. Which is greater: v or 0?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 118744?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.2, -3\/16, 1829, 4\/3, -3, 69, -1\/2?\nAnswer: -3\/16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 1\/11321061 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((k\/k**0)**46)**(-15) assuming k is positive.\nAnswer: k**(-690)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 243*o**2 - 2*o - 102 wrt o.\nAnswer: 486*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -124632\/11 + 11314. Let f = 139\/22 - l. Find the common denominator of -5\/6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:41 AM and 7:17 PM?\nAnswer: 456","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 2, -1, 79, -2, 12, -4 in descending order.\nAnswer: 79, 12, 3, 2, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -464 - -146?\nAnswer: -316","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 13) in base 3?\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -211*v = -163*v + 1057 - 193 for v.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -5*y**2 + 2*y + 1. Let r be a(-1). List the prime factors of r\/((-3)\/(-1)) - -17.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n. Determine a(-8).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14504 and 224?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 66866 and 38062722.\nAnswer: 998","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -20835 - -20828. Which is the nearest to 0? (a) 1\/2 (b) 1\/4 (c) -1 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 18 or 15188\/875?\nAnswer: 18","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -26433156616 + 3?\nAnswer: -26433156613","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 19780 + 299903541?\nAnswer: 299923321","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5*l**2 + 6*l. Let q(x) be the second derivative of x**4\/12 - x**3\/6 + 4*x. Give -m(k) - 6*q(k).\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -1\/7, 0.01, 2, -25?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.7 + 0.6. Let w be 1\/2 - 3\/6. Suppose z + 3*z = w. Is d not equal to z?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -109 + 55. Let p = f - -54. Sort p, -3, -2 in decreasing order.\nAnswer: p, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5492?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-3)\/(-3))\/(1\/4*-2). What is the tens digit of 11\/(-22) + (-213)\/m?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i - i + 19 = u, -5*i = 5. Let z be (-14)\/6*u\/(-28). Let q = -0.09 + -4.91. What is the smallest value in 0.4, q, z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-3 - (0 - 4) - 4) + -93 - (-89 + 94)?\nAnswer: -101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -7*f**4 + 7*f**2 - 4*f. Let u(v) = -8*v**4 + 6*v**2 - 5*v. Let t(c) = -6*l(c) + 7*u(c). What is the second derivative of t(w) wrt w?\nAnswer: -168*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15466 - -29521. What are the prime factors of m?\nAnswer: 3, 5, 937","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 11) in base 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480*f + 577*f = -194 for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 - 12*p**2 + 2*p. Is 3 a factor of t(12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*z**4 + 13*z**4 - 5*z**4 + (-2*z**2 + 2*z**2 + 3*z**2)*(-3 + 1 + 2*z**2 + 1).\nAnswer: 17*z**4 - 3*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 12 + -8. Let x = 75\/308 + 1\/154. What is the third smallest value in x, 1, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i so that -i**3\/4 + 27817*i**2 - 3109224605*i\/4 + 391290435223\/2 = 0.\nAnswer: 254, 55507","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -c**4 + 0*c**4 + 2*c**4 + (-2*c**3 + 0*c**2 + 0*c**2)*(3*c + 0*c - 5*c) + 2 + c**4 - 2 + (-c + 2*c - 2*c)*(-41*c**3 - 90*c + 90*c).\nAnswer: 47*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -550, -2557, -5746, -10117, -15670, -22405?\nAnswer: -30322","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -36 = -2*k - 0*k. Suppose -f - 5*a = k, -f + 3*a + 3 = -11. List the prime factors of f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 58 divided by 435673?\nAnswer: 58\/435673","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -107, -188, -245, -266, -239, -152, 7?\n\"Answer: 2*z**3 - 95*z - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -32082559*n**4 - 4646*n**2 - 748*n + 2.\nAnswer: -769981416*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 83199.53km in meters?\nAnswer: 83199530","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = x**3 + x**2 - x + 1. Let n be t(1). Solve -n - 6 = 4*o for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a milligram in micrograms?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -88942 divided by 3?\nAnswer: -88942\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express -7*z**2 + 2 - 7*z**2 - z + 19*z**2 - 7*z**3 - 6*z**2 in the form o*z**3 + g*z + f*z**2 + b and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p = -6*p + 15. Suppose -o - p = 4*o + l, -15 = -o + 5*l. Suppose o*h - h = -16. What is the remainder when 46 is divided by h?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 855460.1 weeks to microseconds.\nAnswer: 517382268480000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -4*k - 55. Let d be y(-14). What is the common denominator of 52\/23 and (d\/(-11))\/((-3)\/21)?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xd when two letters picked without replacement from llllxxxlxd.\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 3. Suppose -q*m - 16 = -6*m. List the prime factors of m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -53 (b) -37453\/11 (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4352 is divided by 725.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 4*q - 10. Let d be r(5). Let w(i) = i**3 + 5. Let l be w(0). Let s be (-98)\/(-4) + l\/d. Solve -5*h = 5*o + s, 0*o + o = 5*h + 13 for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 2*v - 314 = 0, 2*o + 0*v = -v + 299. Suppose -2*z = 2*u + 2*z - o, -2*u + 155 = 5*z. What is the tens digit of u?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 109, 552, 1291, 2326, 3657, 5284?\n\"Answer: 148*g**2 - g - 38","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 43\/86*54*2\/(-3).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kb when two letters picked without replacement from ayyyfkyb.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 333193 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 11 + -6. Let q(w) = 36*w + 2635. Let c be q(-73). Solve -t*h - c = 2*l, l = 6*l + 3*h - 11 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -113 - -25 - (3 + -73).\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -289884285 - -7.7.\nAnswer: -289884277.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1\/2 or -164423455?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 8\/20 - (2650\/(-275) + 10 + 63\/220).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -81*l + 16098 = -9257 - 2023. Calculate the least common multiple of l and 507.\nAnswer: 1014","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.3662160954 rounded to three dps?\nAnswer: 0.366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19662 + 24959 - 2*p**2 - 32*p**2.\nAnswer: -34*p**2 + 44621","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -629*n + 11. Calculate u(0).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) be the first derivative of 0*m**4 - 4*m**5 + 0*m + 5 - 10\/3*m**3 + 0*m**2. Find the third derivative of a(t) wrt t.\nAnswer: -480*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 3, 6\/5, 9, 1\/3?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 2*(12\/(-3))\/(-4). Suppose 4*l = 5*f - 161, 4*f = 3*l + c*l + 127. Is 14 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -577, -2100, -4539, -7894, -12165?\n\"Answer: -458*b**2 - 149*b + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 13 - 5. Suppose v + 2*w - 4 = 0, -v - v - 3*w = -k. Solve -v*y = -4*m - 5*y + 16, 5*m - 3*y = 37 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 12, 11, 0, -27, -76, -153, -264, -415?\n\"Answer: -a**3 + a**2 + 3*a + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-11 + 27 - -14) + -12 + -19.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 divided by -4.\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 374248 is divided by 37?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -216674 + 29*w**2 + 216674.\nAnswer: 29*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 133733 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.1, 0.08, 7, 221, -4, 8\/5, -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -261.039 - -0.039. Let c = g + 253. Which is greater: c or 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l - 12 = -5*z, 0*z - 8 = -2*z + 4*l. Let v be (-18)\/4 + z\/4. Let d be v\/(5 + (-6)\/2). Put d, -1\/4, -0.4 in ascending order.\nAnswer: d, -0.4, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1072 + 5791*o**2 + 3*o - 3*o + 1072.\nAnswer: 5791*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 4 - 13 - 80500\/(-20)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -2, 273, -3, -385, -1, 4 in decreasing order.\nAnswer: 273, 4, -1, -2, -3, -4, -385","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(612) + 0 - sqrt(612)) - 1*sqrt(612)*1)**2.\nAnswer: 612","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y - 4*i + 28 = 0, 5*y - 149 = -4*i + 23. Suppose -4*u - y = -7*u. 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: Rearrange 8 - 8 - 6*w**3 + (3 - 3 - w**2)*(-1 - 2 + 1)*(0*w + 3*w - 5*w) to g*w**2 + i + o*w + l*w**3 and give l.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(c) = -2*c + 23. Let b(p) = 4210592*p. Give b(k(q)).\nAnswer: -8421184*q + 96843616","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 15 + -13. Suppose 0 = k - 2 - d. Put 5, k, -5 in decreasing order.\nAnswer: 5, k, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 30*o - 45*o - 90 for o.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by 16888.\nAnswer: -5\/16888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -100001111001110 - 1?\nAnswer: -100001111001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, -3, -1\/6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*j - 86 + 32. Let n be 10*3\/(135\/j) + -2. Put -0.06, n, -2\/11 in ascending order.\nAnswer: n, -2\/11, -0.06","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4 - 4 + 4*w**2)*(-4 - 1 + 9)*(1 + 1 - 3).\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + 6 - 9 - -6.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 623?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 320 minutes after 1:27 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + (sqrt(5)*2 + 0)*6.\nAnswer: 4 + 12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16371666?\nAnswer: 2, 3, 113, 2683","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(a) = -a**3 + 3*a**2 - 12*a + 9. Let o be i(-6). Suppose 5*b - 5*b**3 - o*b**2 + 405*b**2 = 0. Calculate b.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -5 (b) 26 (c) 0.63\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:38 PM and 8:35 PM?\nAnswer: 237","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of -3458, -6977, -10494, -14009?\n\"Answer: q**2 - 3522*q + 63","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 8952.476 kilometers?\nAnswer: 8952476000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10.08 + 10. Let z = y + 0.18. Which is the closest to z? (a) -3 (b) -2 (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 2*-1 + (-40)\/(-8). Let t(f) = -3*f - b + 7 - 2. What is t(-2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a + 5*g = -a, -3*a + 4*g + 23 = 0. Is 22430\/50 + 2\/a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19783854983 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (208\/(-10))\/(((-2)\/((-64)\/(-12)))\/((-390)\/(-416))).\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(k) = 9*k - 124. Let n be h(19). Calculate the greatest common factor of 611 and n.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 2 o when three letters picked without replacement from {v: 1, o: 3, t: 1, u: 5, m: 3, c: 4}.\nAnswer: 3\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -23*y + 502 - 571 = 0 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9 = 23*v + 39 + 20 + 70 for v.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -93, -102, -113, -126, -141, -158, -177?\n\"Answer: -c**2 - 6*c - 86","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*d - 3*y - 9, -3*y + 3 - 6 = 4*d. Suppose d = j - 0*j, 2*k = j + 35. Suppose 4*q = 201 - 61. What is the remainder when q is divided by k?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 139 + -138.99138. What is q rounded to four dps?\nAnswer: 0.0086","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -m - 6*m**3 + 15*m**3 - 5*m**3 - 86 - 3*m**3 to f*m**3 + i*m**2 + n*m + u and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1152)\/(-54))\/(-32)*6\/(-8).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/52*-39*(-1)\/(-6)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a + 6 = -0*a. Let i(v) = v**3 + 4*v**2 + 5*v + 2. Let g be i(a). Let f(l) = l**2 + l - 3. Calculate the remainder when 33 is divided by f(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 15078861.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (40 - -2) + -13 + 45 - (7 + (5 - 3))?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7040955.\nAnswer: 3, 5, 469397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = -a**3 - 8*a**2 - a - 6. Let u be x(-8). Let v be (-3*8\/u)\/1. What is the second biggest value in 0.1, v, 4?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65903 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 360 - 358. Suppose -2950 = -5*o - l*a, 2*a + 12 = 2. What are the prime factors of o?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 38153 is divided by 227?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {y: 1, g: 3, m: 1, z: 5, a: 4}. What is prob of sequence gyg?\nAnswer: 1\/364","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 40832, 41112, 41392, 41672, 41952?\n\"Answer: 280*q + 40552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -292.18 - 3.82. Let s = 296.000001336 + l. What is s rounded to seven dps?\nAnswer: 0.0000013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -117 - -137. Solve 20 + j = 10*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 94079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**2 - 4*z + 1. Let b(f) = 2*f**2 + 5*f - 2 + 6*f - 6*f. Let o(u) = 3*b(u) + 4*h(u). Is o(-5) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-574)\/385 + (-6)\/(-66)?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -201 + 33*a**3 + 42 + 79 + 35 + 45.\nAnswer: 33*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: -425141221 (base 6) to base 12\nAnswer: -262a811","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 326 divided by 2?\nAnswer: 163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -9*l**3 + 4*l**2 + 40. Let t(f) = -5*f**3 + 2*f**2 + 20. Let i(n) = 4*k(n) - 7*t(n). Let y be i(0). Is 12 a factor of (-5)\/(-20) - (-2875)\/y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 j when three letters picked without replacement from ijjzjzjzjzz?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -360 = -5*f - 5*n, 3*f + 3*n - 78 = 2*f. Let x = -38 + f. Suppose 35*k = x*k + 16. Solve -3*h + h + 12 = -3*b, 4*h - 20 = k*b for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.1 in -21, -1\/4, -3?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 - (25\/60)\/(5\/86).\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72 (base 12) in base 3?\nAnswer: 10012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Divide 47800 by 74.\nAnswer: 23900\/37","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**4\/7 + 880*t**3\/7 + 231796*t**2\/7 - 72291120*t\/7 - 13496916402\/7.\nAnswer: -2*(t - 417)**2*(t + 197)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.015 times -2?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3743 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: Expand 0*p**2 - 2*p + 2*p**5 + 0*p**2 + (-5*p - 24*p + 5*p)*(145*p**4 - 28*p**4 + 12*p**4).\nAnswer: -3094*p**5 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 12 = -12. Which is the nearest to x? (a) 0 (b) 6\/5 (c) 1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 23676 is divided by 4732.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.174 + 0.014. Let v = d - -0.36. What is the nearest to v in -11, 1, -5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -14181, -57107, -128771, -229173, -358313, -516191, -702807?\nAnswer: -918161","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = 2 - 10*s**2 + 4*s**2 - 16*s**3 + 35*s**3 - 20*s**3 - 4. Let y = -13 + 7. Calculate q(y).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jcnfnjnjzfn. What is prob of sequence cn?\nAnswer: 2\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1198*-270.\nAnswer: -32.346","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = -a**2 + 6*a + 35. Let p be j(9). Suppose p*c - 108 = 84. Solve -l - 3 = -4, 0 = 5*n - l - c for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -4, -21, -50, -91?\nAnswer: -144","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) = 19*j + 56. Let w(q) = 7*q + 21. Let f(i) = 3*c(i) - 8*w(i). Let v(k) = -966*k. Give f(v(g)).\nAnswer: -966*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*g = -39 - 21. Let v = g - 10. What is the units digit of v?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 >= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((h\/h**(3\/5))\/h)\/h*h**(-10))\/(h**(-6)\/h*h**2) assuming h is positive.\nAnswer: h**(-33\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + g + 1)*(2 + 0 - 3) + 16*g + 566 - 566 - 5*g + 3*g + g.\nAnswer: 14*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 264 = 6*t - 2*t. Let m = 119 - t. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from kaqqrlxa. What is prob of sequence raxl?\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -100373, -100379, -100397, -100433, -100493, -100583?\n\"Answer: -j**3 + j - 100373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(243) - sqrt(243))\/(1*(sqrt(9)*-2 + sqrt(9))) - ((5 + (sqrt(72)\/sqrt(4))\/sqrt(6)*-6)*-5)**2.\nAnswer: -3325 + 1506*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(((-44)\/24)\/11). Let h = w - 10. Suppose 0 = -2*j + h*k + 6, 2*j = k + 6 + 1. Solve q + j = -0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1839?\nAnswer: 3, 613","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 326 and 1141.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-8)*(-24)\/(-12).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 0.11, 7, 5, -37, -2, 1\/333?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -t - 4021*x - 13 = -4044*x, 12*t - 2*x = -156 for t.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = u**2 - 25*u + 92. Let l be m(21). Suppose 1239 = l*s + 159. Round s to the nearest ten.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -71 divided by -25\nAnswer: 71\/25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -574 + 2874\/5. What is the biggest value in -16, q, 5, 2?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 404*f - 2257. Calculate the remainder when l(6) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -22 (b) 5\/2 (c) 0.1 (d) 2 (e) -5.1 (f) 8\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 8*z**4 + z**4 + 1100*z**3 - 773*z**3 + z + z - 6*z**4 to the form c*z**4 + n*z**2 + x*z**3 + a + l*z and give c.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (8 + -7)\/(265\/106). Put 0.02, 35, 0, 2\/11, a in descending order.\nAnswer: 35, a, 2\/11, 0.02, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-3\/7)\/c**14)**17 assuming c is positive.\nAnswer: c**(-1717\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 108541 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -5 - -1. Let h(z) = -245*z - 1. Is h(g) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -15670 - 51*q**2 - 11*q**3 + 15670 in the form c*q + s*q**3 + a + u*q**2 and give s.\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2039060 is divided by 851?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 151537676?\nAnswer: 2, 43, 347, 2539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 337 is divided by 35\/(-10)*1968\/(-56)?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 95431473.\nAnswer: 3, 37, 95527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 283*u**3 + 275?\nAnswer: 849*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 4*t - 18 = 0, -33*c + 29*c + 4*t = 8. Solve 2*r = -3*s - 3*r, 0 = r + c*r for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*d - 23 = 7. Let h be 4\/(-80)*d - 3\/4. Let p = 4 - 7. Which is the nearest to h? (a) -4 (b) -2 (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w = 33 + 45. Suppose 0 = -3*l - 6 + w. Does 4 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*j + 6 = -4, 3*i - 5*j = 50. Suppose -f + b - 4 = 0, 5*b - 2*b - i = -5*f. Put -0.2, f, 0.2, -5 in increasing order.\nAnswer: -5, -0.2, 0.2, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**3 - a. Let g(o) = -8*o**3 + 6*o + 2. Let x(j) = j - 2. Let w be x(6). Suppose w*r = r - 3. Give r*g(u) - 6*b(u).\nAnswer: 2*u**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -149 + 77 = -8*c. Solve c*t + 8 = -28 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00079753306 rounded to 5 dps?\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/2 in 100, -4, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -84 - -189. Let z(o) = o**3 - 6*o**2 - 2*o - 17. What is the remainder when v is divided by z(7)?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1548558 divided by 49\nAnswer: -1548558\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + -2 + 5 + -3)**2.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 4*(((-96)\/(-40))\/(-4))\/(96\/(-270)*1)\nAnswer: 27\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ucrmccvmlvrumrr. What is prob of picking 1 l, 1 r, and 2 u?\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-nine halves of a litre?\nAnswer: 14500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = -t**3 - 2*t**2 + t + 5. Give y(-4).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2400 in 2, 5, -0.6?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**2 + 3*g**2 - 2*g**4 - 3*g + (-78*g**2 - 6*g**3 + 78*g**2)*(4*g + 17*g - 8*g) to the form z*g**2 + w*g**4 + b + j*g**3 + v*g and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*f*r**2*s + 2*f*s - 75*r**2*s + 33*s + 2 with respect to r.\nAnswer: 4*f*r*s - 150*r*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 26 - 21. Find j such that -2 + 15*j + t*j**2 + 5 + 5 + 2 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.081 - -632\nAnswer: 631.919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 14*j**3*t**5 - 1038*j**3*t + 2*j**3 + 429*j**2*t**5 + 4*j*t wrt t.\nAnswer: 280*j**3*t**3 + 8580*j**2*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 434*m - 20794 + 26436 for m.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 4738, 4307, 3874, 3439, 3002, 2563, 2122?\nAnswer: 1679","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 7*s**2 + 37*s + 6. Let o be m(-7). What is the highest common divisor of o and 36?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -31 (b) 0 (c) 0.048 (d) -3 (e) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*h**3 + 2*h**3 + h**3 - 4*h**3 - 2*h**3 + 2*h**3 + (5 - 4 - 3)*(-h**2 + h**2 + 2*h**3) + 4*h + 6*h - 34*h**3 - 9*h.\nAnswer: -41*h**3 + h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*g + 3*g + 4*g)*(-4 + 4 - g + 2 - 2 + 2*g + 0 - 2*g + 0 + (2*g + 3 - 3)*(3 - 7 + 2) - 3*g + 8*g - 10*g) + 5*g**2 - 3*g + 3*g.\nAnswer: -15*g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w = -2 + 8. Let r be -60 + (-1 - w) + (-2 - 0). Let h = -38 - r. What is the remainder when 65 is divided by h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -1782 - -3014. Let l be 316\/y*-94 + -1. Let m = -288\/11 - l. Find the common denominator of m and -1\/8.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 549329 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**2 + 595622*l - 595623.\nAnswer: (l - 1)*(l + 595623)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 155 a factor of 8215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 1431557 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56234 - 12163?\nAnswer: 44041","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/5 of a millennium in months?\nAnswer: 7200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = -m**3 + 19*m**2 - 101*m - 5. Determine i(7).\nAnswer: -124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 53 - 2555344432?\nAnswer: -2555344335","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 5628815 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 2*u**5\/15 - 55*u**4\/6 - 100*u**3 + 62*u**2 - 16. Factor y(r).\nAnswer: 4*(r - 30)*(2*r + 5)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) be the first derivative of -i**3\/3 - 4*i**2 - 10*i + 5. Is o(-5) a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:50 PM and 7:48 PM?\nAnswer: 418","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6411 is divided by 522?\nAnswer: 147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + ((((sqrt(1872) - (1 + sqrt(1872) + -4*sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872) + sqrt(1872))) + -5*sqrt(1872)*-3)*4 + -1)*-5)**2.\nAnswer: -180000*sqrt(13) + 168480621","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 275?\nAnswer: 275","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -52 (base 10) to base 4\nAnswer: -310","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*o - 10 = 2*v, -3*v - 15 = 43*o - 41*o for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86*i - 5 = -91*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -6 - -5.6. Let p be (69\/(-194 - -56))\/((-1)\/(-2)). Which is the nearest to p? (a) -0.1 (b) i (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 95116649 to the nearest integer?\nAnswer: 456","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2\/(-28)*(-2 + 6)*-1.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z = -5*d - 160744, -3*d + 160712 = 4*z - 4*d. Is 77 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (6 - 5)\/((-2)\/(-694)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = -2*q + 2, 0 = 3*i - 2*i + 5*q + 8. Let g = 164\/3 - 54. Which is the closest to g? (a) i (b) 0 (c) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -456 = 5*a - a. Let d = -117 - a. List the prime factors of (202\/d)\/(((-56)\/21)\/4).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = 6*v**3 + 6*v**2 - 34*v + 14. Let c(s) = 2*s**2 - 9*s - 12. Let p be c(6). What is the tens digit of r(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -63 - -191\/3. Factor 0 - 2\/3*u**3 + 0*u - y*u**2.\nAnswer: -2*u**2*(u + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6792.5049 rounded to the nearest one hundred?\nAnswer: -6800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is (-9 - -17 - -4) + 0 + -1 + -72?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.0737 - -94.9737. Let l = a - 94.459. What is l rounded to one decimal place?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*z - 5*z - 8*z.\nAnswer: 7*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 3*s + 12. Let x(y) = y + 1. Let m(u) = d(u) - 4*x(u). Let g be m(6). Solve -1\/3*n - 1\/3*n**g + 0 = 0 for n.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5*3*(2 + ((sqrt(176) - (sqrt(176) + -2*sqrt(176))*-3) + -2 - ((sqrt(176) - (sqrt(176) + 1 + -3)) + 4))).\nAnswer: 90 + 120*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x = -4*x - 995. Is x prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65 = 12*k + k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 15609 - 15279 = 0. Suppose h = -157*c + 165*c. Is 13 a factor of c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = 2*z**2 - z + 1. Let q(h) = -h**3 - 15*h**2 + 10. Let k be q(-15). Let n(g) = -6*g**2 + 4*g - 4. What is k*x(r) + 3*n(r)?\nAnswer: 2*r**2 + 2*r - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in -0.3, -0.1, 7, 4, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 6 + -8 + (-9 - -6) + 23\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 84023675863 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 0 - 52*t**2 + 1003*t**2 + 750*t**2 + 0 - 623*t**5 wrt t?\nAnswer: -37380*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (((-6)\/15)\/((-55879)\/2945 + 19))\/1.\nAnswer: -31\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -0.4527 + -8.5473. What is the closest to 0.1 in 2, a, -2, -0.03?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let n = -2.6 + 3. Let d = -0.3 + 0.5. Let t = -2 + 2. Sort t, d, n.\nAnswer: t, d, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: -834a1 (base 12) to base 13\nAnswer: -60250","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xkykxytxxntxktx. Give prob of sequence ynkk.\nAnswer: 1\/2730","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-1*2 - (11 + -13))\/(-2). Suppose s = 8*o - 59 - 61. Calculate the remainder when 117 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 284, 579, 906, 1277, 1704?\nAnswer: 2199","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -88 - -179\/2. Which is the closest to 1? (a) l (b) -0.3 (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (124\/62)\/((12\/150)\/((-13)\/5))\nAnswer: -65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -189 divided by 9.\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 4*w**3 - 1880*w**2 - 2 + 2*w + 1880*w**2. Let n(y) = -3*y**3 - y + 3. Let h(a) = 2*l(a) + 3*n(a). What is the remainder when h(-3) is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -9891 rounded to the nearest 100?\nAnswer: -9900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -50*i - 52. Let s be j(-2). Calculate the highest common divisor of s and 117.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = -2*s. Let b be m(-3). Let w = 64 + -33. Calculate the remainder when w is divided by (-1)\/6 + 49\/b.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8\/6*-17*(-27)\/(-12).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3 and 24?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -113027, -113029, -113033, -113039, -113047, -113057, -113069?\nAnswer: -113083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 536310?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u + 3. Calculate y(2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 524?\nAnswer: 2, 131","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:11 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oottottttqtoqotooa. Give prob of sequence oao.\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 24*d - 10*d - 12*d.\nAnswer: 2*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-60))\/(1\/(-4)). Suppose 0 = -n + 4 - 2. Suppose 0*o - n*o = -3*m + 11, -4*m + 4*o = -20. Do x and m have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(l) be the first derivative of 19*l**6\/2 - 3*l**2 - 16*l - 24. What is the second derivative of n(i) wrt i?\nAnswer: 1140*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 4, p: 9, e: 2, s: 1, a: 2, c: 2}. What is prob of sequence as?\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*p + p - 396. Let l = p - 70. What is the units digit of l?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-6)\/15)\/(12\/(-10)). Let w = 12 - 12.26. Let a = w + 0.36. Do a and h have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find o, given that 1826*o**5\/7 + 31051*o**4\/7 - 32715*o**3\/7 - 162*o**2\/7 = 0.\nAnswer: -18, -9\/1826, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/559392 and -169\/489468.\nAnswer: 3915744","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 v, 1 e, and 1 d when three letters picked without replacement from ecseceevfdddecccc?\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = k**2 - 11*k + 24. Let y be l(4). Is (-780)\/50*y*5 a multiple of 55?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 179010 and 89505?\nAnswer: 179010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 3\/15*-1 - (-2)\/10. Let r = 3131.1 - 3132. Sort r, -0.3, -1\/10, z in descending order.\nAnswer: z, -1\/10, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from vyvyyvvv. Give prob of sequence vyy.\nAnswer: 5\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/4 + ((-66)\/8)\/(-11). Let p be -10*-3*r\/6. Solve g + p*f = -10, -3*f = -4*g - 8*f + 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -905, -1810, -2717, -3626?\nAnswer: -4537","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5535 = 1543*m - 1534*m. Is 18 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.2 + 1.8. Let d = j + -1.5. Let p = -1.2 + 1. Which is the second smallest value? (a) d (b) -1 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -94 (base 14) to base 7\nAnswer: -244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 115\/168 and 91\/2.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 6847\/198 - 370\/11. Find the common denominator of f and 2 + 302\/36 - 2.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -22910, -22811, -22630, -22355, -21974?\nAnswer: -21475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 1741*o + 52271. Determine f(-30).\nAnswer: 41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 117 in -0.5, -14, -24554?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 31761, 63522, 95283, 127044?\n\"Answer: 31761*x","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + t + 5*t)*(t**3 - 3*t**3 + 0*t**3)*(-3 + 4 + 6).\nAnswer: -42*t**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*j + 233*c + 85 = 238*c, 6*j + c + 55 = j for j.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 1. Let q(c) = 6*c + 1 + 6 + 5 - 5 + 0. Give q(u) - 5*w(u).\nAnswer: 6*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00006623331 to five decimal places.\nAnswer: -0.00007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(s) be the second derivative of -s**5\/20 - 11*s**4\/12 - 2*s**3 - 4*s. Let d be g(-10). Solve -d + 0 = 5*l for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (1 + -2 + 1)\/(-1). Suppose j = -3*a + l + 26 - 4, -2*l - 2 = 0. Let c = a + 3. Calculate the remainder when c is divided by 6.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 30\/63 - (-16)\/(-112).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1*2700\/(-72))\/(-2*(-6)\/(-8)).\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = 3*h. Let z(i) = -i. Let a(s) = u(s) + 6*z(s). Let w(j) = 4*j + 7. Let f(k) = 0 + 2*k + 2 + 1 + 0. Let m(d) = 7*f(d) - 3*w(d). Give a(m(x)).\nAnswer: -6*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2.527, 4, 1, 5?\nAnswer: -2.527","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -26.6 + 11.6. Let v = 14.94 + 0.06. Let s = f + v. What is the nearest to 1 in 3, s, 4\/7?\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 163\/11298 and 29\/8070.\nAnswer: 56490","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 93.146 kilometers in centimeters?\nAnswer: 9314600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1176 divided by 168.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 p when two letters picked without replacement from epmppmpmpt?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -81 - -80. Let x be -4 + (-2 - (-1 - 2)). Which is smaller: x or r?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -5*c**2\/2 + 68175*c - 136345\/2 = 0.\nAnswer: 1, 27269","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.4759, 0.1, 50\/3, -5 in ascending order.\nAnswer: -5, 0.1, 0.4759, 50\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-113)\/84750)\/(22\/8 + -1). Sort k, -1, -4 in ascending order.\nAnswer: -4, -1, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -22 divided by -464371.\nAnswer: 22\/464371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 3)*(-3 - s + 3)*(5 - 1 - 2)*(-22 - 3 + 1)*(0 - 7 - 5).\nAnswer: -1152*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c + 61*c = 8939700. Round c to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + 3*d + 4. Let t be u(5). Let z be 1\/t - 2509\/(-6). Suppose 4*g - z = 234. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 4136847?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 21624?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) = -10*v. Let j be s(-1). Let i = j + -3. What is the units digit of i?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, 6, 60\/17 in descending order.\nAnswer: 6, 60\/17, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (0 + (-6)\/84*-4)*35. Solve -m + 5*i = -0*i - 10, -3*m - 5*i + d = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319174*v**3 + 2*v**2 - 512793*v?\nAnswer: 1915044*v + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/3? (a) 152794\/7 (b) -5 (c) -4\/49\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the third derivative of -x**8\/6720 - x**7\/630 + x**6\/80 + 7*x**5\/120 - x**4 + 7*x**2. Let t(b) be the second derivative of n(b). Determine t(-6).\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 135*-97\nAnswer: -13095","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1587 and 69?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*w - 4*w = -5*i + 210, i + 5*w - 16 = 0. Suppose -i*h = 10*h - 102. Solve -3*z - h*z - m = 5, 0 = -3*z + 3*m - 3 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7*0.2283.\nAnswer: -1.5981","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*((p*p*p*p**(-9)*p*p)\/p)\/p*p**(-1\/14)\/p assuming p is positive.\nAnswer: p**(-85\/14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**(-6)\/(j*j**(1\/4)))**(-17) assuming j is positive.\nAnswer: j**(493\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3644152548 to the nearest integer?\nAnswer: 1539","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/3 of a millennium in months?\nAnswer: 28000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -a**2 + 6*a + 11. Let i be y(6). Let x = 25 - i. Does 12 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -13078 - -9.\nAnswer: -13069","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1076464\/608*(-4)\/(-2) is divided by 77.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*n**3 + 0 + 1 - 5*n**3 + 1 - 2*n**2 + 0 - 2*n**4 + 3*n to v*n**4 + k + f*n**3 + x*n + r*n**2 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: Is (-34)\/((-70)\/22 + 3) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1468768*z - 7 + 7.\nAnswer: -1468768*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 323, 1620, 4187, 8354, 14451, 22808, 33755?\n\"Answer: 55*x**3 + 305*x**2 - 3*x - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(b) = 867*b**2. Let h(j) = -17*j + 4. Let m(z) = -13*z + 3. Let s(a) = 3*h(a) - 4*m(a). Give s(c(g)).\nAnswer: 867*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) = 18*s**2. Let z(n) = 6331*n**2 + 2*n + 20. What is z(m(g))?\nAnswer: 2051244*g**4 + 36*g**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 11*r**2 - 6131*r - 6094. Let f(g) = -10*g**2 + 6130*g + 6100. Let y(v) = -5*c(v) - 6*f(v). Factor y(n).\nAnswer: 5*(n - 1226)*(n + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-400800)\/(-54275) + 7\/(7\/(-6)).\nAnswer: 18\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 4641970, 9283830, 13925692, 18567556, 23209422, 27851290, 32493160?\n\"Answer: z**2 + 4641857*z + 112","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 3, -5, -1, -2 in decreasing order.\nAnswer: 3, 0, -1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i - 5*b - 21, 69*i - 68*i + 8 = -2*b for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*p + 2*k - 4*k + 18, -3*p + 4*k - 22 = 0. Is -14*(-2469)\/12 - (-3)\/p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.001 in -2\/21, 0.1557, -4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -11487, -22830, -34171, -45510, -56847, -68182, -79515?\n\"Answer: c**2 - 11346*c - 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -121 - -137. Calculate the remainder when 221 is divided by r.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4 + ((-2*sqrt(5184) - sqrt(5184))\/sqrt(12))**2*6 - 1*(-5 + (sqrt(9)\/sqrt(3))**2*6*-1).\nAnswer: 23355","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.8 + -16\nAnswer: -15.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 510370.4 centuries?\nAnswer: 612444480","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 f and 1 r when three letters picked without replacement from {r: 8, g: 4, f: 5}.\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -812, -1536, -2270, -3020, -3792, -4592, -5426, -6300?\n\"Answer: -c**3 + c**2 - 720*c - 92","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1672\/3? (a) -1\/6 (b) 3\/2 (c) -0.06 (d) -1.5 (e) -5.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*n**2 + 162*n - 165 = 0. Calculate n.\nAnswer: -55, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) = -29*r - 165. What is the remainder when 68 is divided by n(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1069\/3 + 357. Let p = 58 - 55. Which is the closest to 0.2? (a) p (b) n (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) = -6*y**3 - 8*y**2 + 11*y + 7. Let h be ((-2)\/(-6))\/((-242)\/132*(-3)\/99). Let g(x) = -5*x**3 - 7*x**2 + 10*x + 6. Give h*a(f) - 7*g(f).\nAnswer: -f**3 + f**2 - 4*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 11246144.\nAnswer: 2, 7, 13, 1931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*m - 124*l + 130 = -65*l - 61*l, 7*l - 3*l = 3*m + 80 for m.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -175721536*i**2 - 53024*i - 4 = 0.\nAnswer: -1\/6628","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*h = -5 + 5. Suppose h = 3*b + 6*b - 36. Find the first derivative of 85*f - 19 - 85*f + 11*f**b wrt f.\nAnswer: 44*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*p - 28*p**2 + 16*p**2 - 4 - p + 9*p**2 + 4*p**2 in the form i + w*p + c*p**2 and give c.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55791265.1700031 + 55790906.17. Let k = p - -359. What is k rounded to 6 decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.567 and 1.5.\nAnswer: 0.8505","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 25893482 is divided by 37?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 3b1223 (base 14) in base 9?\nAnswer: 3747244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 36022013 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 234074, 233883, 233692, 233501, 233310, 233119?\nAnswer: 232928","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Determine u, given that -u**2\/5 - 9877*u\/5 = 0.\nAnswer: -9877, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 54\/43 + -723\/473. Which is the biggest value? (a) -5\/4 (b) -2 (c) -1 (d) k\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -5*x**3 - 400*x**2 - 10465*x - 89930 = 0. What is x?\nAnswer: -34, -23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 2*a**7\/735 + a**6\/84 - 5*a**4\/84 - 2*a**3\/21 + 79*a**2 + 2*a. Suppose g(w) = 0. What is w?\nAnswer: -2, -1, -1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 16\/48*(-10)\/((-30)\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1074, 2236, 3408, 4596, 5806, 7044?\n\"Answer: i**3 - i**2 + 1158*i - 84","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = 455*n + 10299. Is l(-8) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2822610 - 0.88.\nAnswer: 2822609.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x(v) = -2*v**2 - 1. Let l(h) = h**3 - 23*h**2 + 24*h - 19. Let d(a) = -l(a) + 6*x(a). Let o be d(5). What is the highest common factor of 86 and o?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 49\/637169 and -95\/98026?\nAnswer: 1274338","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 77 and 44.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 599?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -g + 5*n, -4*n - 81 = 5*g + 38. Let m = 9 - g. Factor 1 - 4*p - 25 + 28*p**2 - 40*p - m*p.\nAnswer: 4*(p - 3)*(7*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 20\/5 + 43 - 4. What is the greatest common divisor of 387 and w?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/4 (b) 0.18 (c) -6\/11 (d) -3 (e) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 459 minutes after 5:17 AM?\nAnswer: 12:56 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-2*(1*sqrt(5760) + sqrt(5760) + sqrt(5760)))\/((sqrt(80)*-2*6)\/(-2*sqrt(490) + sqrt(10))).\nAnswer: -468*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (24\/(-300) - 770\/(-250)) + (-4 - 0). Which is smaller: 27 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 3, e: 1, q: 3, i: 1, m: 2}. Give prob of picking 1 e, 1 j, 1 m, and 1 q.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1607446 and 492.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -93\/2 - -565\/12. Let k(r) be the second derivative of -5*r + 0 + 0*r**2 + 0*r**3 - h*r**4. Let d(i) = -i**2. Give 4*d(f) - k(f).\nAnswer: 3*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -v**4\/12 + 11*v**3 + 1175*v**2. Determine q(30).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1910, 15032, 50594, 119816, 233918, 404120, 641642, 957704?\nAnswer: 1363526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h - 3*p - 13 = 0, -3*p - 17 = -2*h + 4*h. Let m = 3 + 1. Sort -3, m, h in descending order.\nAnswer: m, -3, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 484 + 27*p - 484 - 10*p**4 wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*m**3\/7 - 1989*m**2\/7 + 57138*m\/7 - 15192.\nAnswer: 3*(m - 633)*(m - 28)*(m - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 455976788 a multiple of 74?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2382938*0.1.\nAnswer: -238293.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 33*s**3 - 2*s**2 - 6*s - 7. Let h(z) = -33*z**3 + 2*z**2 + 4*z + 6. What is 4*a(u) + 5*h(u)?\nAnswer: -33*u**3 + 2*u**2 - 4*u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = 85455*h + 256435. Determine c(-3).\nAnswer: 70","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -3b962 (base 12) in base 11?\nAnswer: -57059","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -203*l**2\/2 - 6*l + 2. Let j be s(-4). Suppose 2*z = 4*n - j, -2*z = -n - 6*z + 215. Is n 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 47982249?\nAnswer: 3, 7, 761623","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -63\/7808 and -71\/48.\nAnswer: 23424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.191, -1, 1\/4 in decreasing order.\nAnswer: 1\/4, -0.191, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of (9\/(-15))\/(22\/(-1760)) and 24.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:33 AM and 2:19 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 628 is divided by 30.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine p, given that 4*p**2 + 299056*p + 5589655696 = 0.\nAnswer: -37382","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 + 0 + 1)*(9 + 5 - 9)*(23 + 24 - 153)*(-4*v - 6*v + 5*v).\nAnswer: 2650*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 172410148?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-4)\/16)\/((-1)\/(-4)). Let t = m - -2. Solve 3*c - o + t = 0, -o - 1 = 2*c + 8 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 + 726*j**2\/7 - 11104*j\/7.\nAnswer: -2*j*(j - 347)*(j - 16)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 12*t - 22*t - 50. Let j be 10\/4*10\/25. Let f be (45\/75)\/(j\/t). Which is the third biggest value? (a) 0.7 (b) 1 (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 6085?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) be the second derivative of -v**6\/10 + 3*v**5\/10 - v**4\/4 - 37*v**3\/6 + v - 54. Find the third derivative of t(i) wrt i.\nAnswer: -72*i + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -15977\/8304 + -7\/519. Let c = 0 - -1. What is the common denominator of q and (-1 - c\/(-2)) + -41?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(162) - ((-1*sqrt(162) + sqrt(162))*-1 - sqrt(162)) - sqrt(162))\/(sqrt(405)\/sqrt(5)))\/(-3*sqrt(576) + sqrt(54)\/(sqrt(48)\/sqrt(8))))**2*3.\nAnswer: 2\/1587","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -266*c - 77. Let m(k) = 7*k + 2. Let v(g) = 77*m(g) + 2*o(g). Let n(w) = 2*w. What is v(n(r))?\nAnswer: 14*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1040*g + 1039*g + 3*z - 17, 5*g - 2*z = -33 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 4455528729 and -2732.\nAnswer: 4455525997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round 7.38169758 to 2 dps.\nAnswer: 7.38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -194 - -460. Is h a multiple of 38?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*u - 22 = -2*v, 0 = 4*v - u - 3*u - 52. Suppose 5*c - 4 = -4*g, 3*c = 4*g + 3 - 7. Suppose k - v = -c*k. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*f**6 + 3128*f**3*h - 2854*f**2*h + f**2 wrt f.\nAnswer: -240*f**3 + 18768*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (3030\/(-234) + 13)\/((-1)\/12) - -2. Suppose 4\/13 + h*a + 8\/13*a**2 = 0. Calculate a.\nAnswer: -2, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -234b346?\nAnswer: -234b348","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r**3 - 8*r + 4. Let t be (20\/70)\/((-20)\/770). Let p(b) = 5*b**3 - 41*b + 21. Give t*i(f) + 2*p(f).\nAnswer: -f**3 + 6*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand 18*b - 1 - 10*b - 2*b + (7 - 3 - 3)*(2 - 2 + 1)*(-2 + 7 + 1 + b).\nAnswer: 7*b + 5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(c) = -c**3 + 9*c**2. Let h(z) = -z**3 - 5*z**2 + 3*z. Let u be h(-6). Let y(b) = b**2. Determine u*y(g) - 2*p(g).\nAnswer: 2*g**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n(r) be the first derivative of r**4\/4 + 20*r**3 + 600*r**2 + 8000*r + 46. Find q such that n(q) = 0.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 116\/203 + 4\/(-7). Which is smaller: k or 10\/21?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of -114186, -228364, -342548, -456738, -570934, -685136?\n\"Answer: -3*j**2 - 114169*j - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = -d**2 - 3*d - 30. Give h(-9).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1289232 = 5*l + l. Suppose -l = -6*i - 0*i. Suppose 0 = -4*j + 432188 + i. What is j rounded to the nearest 10000?\nAnswer: 120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + 576a9024?\nAnswer: 576a9022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -37 - -45. Let g(k) = -6*k + 6. Let m(n) = -2*n + 2. Let c = 5 + 0. Suppose 5*x - 15 = 3*h - 1, h - 2*x = -c. Calculate h*g(f) + r*m(f).\nAnswer: 2*f - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (1\/(-3))\/((-1309)\/561). Which is the nearest to -6? (a) 2 (b) u (c) 1\/9 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth root of 508895853 to the nearest integer?\nAnswer: 55","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 161465?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.54953 - -0.32994. Let x = h + 0.22. Round x to 4 dps.\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1.9, 15, -22127, 1 in ascending order.\nAnswer: -22127, 1, 1.9, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c be ((-4)\/6)\/((-85)\/15 + 6). Let f be 17\/(-4) + (-1)\/(-4). Sort f, 5, c in increasing order.\nAnswer: f, c, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3.6 - -0.4. Let u be (-4)\/(-7) - 172\/301. Which is the closest to u? (a) g (b) -2\/3 (c) -2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(w) = -w + 1. Let n(m) = 4*m + 6. Let o(l) = -h(l) - n(l). Let v be o(-6). Let u = v - 4. Solve -y + 4 = 0, -2*b + u = 4*y - 19 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 24.2840468*-0.3\nAnswer: -7.28521404","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309315 and 416670?\nAnswer: 255","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14 = 3*p + 2. Let d be ((-5061390)\/8)\/(-5)*p. Suppose -d = -5*k + 3043861. Round k to the nearest one million.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 36*k**3 - 85*k**3 - 552*k + 14*k**3 - 150*k**2 + 36*k**3 wrt k?\nAnswer: 6*k - 300","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16271637 to the power of 1\/6, to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 + (7 - (-4 + 3)).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1014 (base 5) in base 10?\nAnswer: -134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 9 + -6. Suppose -4 = -o*d + 2. What is the second derivative of -7*y + 6*y**4 + 2*y**2 - d*y**2 wrt y?\nAnswer: 72*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r + 190 = 15*z, -15 + 12 + 15 = 5*z - 2*z - 3*r - 30 for z.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(3) - (-3 + 3*sqrt(3) + sqrt(3))**2).\nAnswer: -54 + 25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = v**3 - 62*v**2 + 19*v + 264. Give c(0).\nAnswer: 264","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Product of 175 and -0.2562126.\nAnswer: -44.837205","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(637) - (sqrt(637) - ((sqrt(637)*-3 - sqrt(637))*3 + sqrt(637))))**2 - (1 + (sqrt(13) - (sqrt(832) + -1)**2)).\nAnswer: -17*sqrt(13) + 77909","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 49 - 15. Let s = -26 + j. Suppose 0 = s*o - 4*o - 160. What are the prime factors of o?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = 40*v**2 + 6*v + 5. Suppose 5*a - 5*m + 25 = 0, 5*m - 1 - 4 = -5*a. List the prime factors of l(a).\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27525 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j - 6 = 4*q, 2*q + q + 4*j = 12. Suppose -5*i - 1 + 0 = r, i + 2 = q. Suppose -19 = -5*o - 4*w - 0, 17 = 4*o + 5*w. Solve r + o = 4*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = 14*j**2 + 5*j - 3. Let h(s) = 0 - 5*s**2 + 2*s - 1 + 10*s**2. Let z = -2 + 11. Let w = 2 + z. What is w*h(p) - 4*i(p)?\nAnswer: -p**2 + 2*p + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(272) - (0 + sqrt(272) + -4)) + 3 + sqrt(272) + (0 + sqrt(272))**2 - (5*(6*sqrt(272)*1 + 3))**2.\nAnswer: -244746 - 3596*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 58 and 68498?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 125*c**2 + 86015*c + 26389280. Let u(a) = 9*a**2 + 6144*a + 1884948. Let k(b) = -4*h(b) + 55*u(b). Factor k(i).\nAnswer: -5*(i + 614)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4 - (-5 + -3 + 4) - (-312 - -273)\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) be the second derivative of z**8\/15680 + z**7\/840 + z**6\/168 + 25*z**4\/6 - z**2 + 131*z. Let b(i) be the third derivative of d(i). Factor b(r).\nAnswer: 3*r*(r + 2)*(r + 5)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from oooeoooeooo. What is prob of sequence eoe?\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) 1\/2 (b) -0.4 (c) 1.3 (d) -4 (e) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = -k**3 - 14*k**2 + 7*k - 38. What is i(-15)?\nAnswer: 82","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 354 and 1974258?\nAnswer: 354","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 6*m - 1. Let k be n(6). What is the third derivative of -k*l - 4*l**2 + 35*l - 5*l**6 wrt l?\nAnswer: -600*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-24)\/10)\/((-20)\/50). Let z(r) = m*r + 13 - 3*r + 0*r + 2. Let l be z(-7). Let y(w) = -w**3 - 7*w**2 - 4*w + 6. Give y(l).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (17*z - 40*z**3 - 17*z)*(2*z - 3*z - 3*z - 5).\nAnswer: 160*z**4 + 200*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (j**1\/(((j\/j**7)\/j)\/j))**(11\/3)*(j**7\/(j*j**(5\/3)))\/((j\/(j**0*j))\/j)**(-3\/2) assuming j is positive.\nAnswer: j**(215\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -816284 - -4?\nAnswer: -816280","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 1\/8 (b) 0.9 (c) -0.07 (d) -277 (e) -2\/15 (f) -1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.05 - -4.95. Let n = -0.07 - -0.37. Sort n, m, 0.4.\nAnswer: n, 0.4, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 84 + 8093 = -13*h. What is h rounded to the nearest 100?\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/(-63))\/((-4)\/108)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-48)\/(-10))\/((-212)\/(-530)). Suppose -16 = 3*n - 2*p + 4, -p = n. Put -0.5, b, n in increasing order.\nAnswer: n, -0.5, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 9685, 10531, 11377?\n\"Answer: 846*b + 8839","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*m - 22 + 48 - 143*m**2 - 6 - 22 to the form x*m + c*m**2 + b and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from rrrrrwgggrrrwggdrw. What is prob of picking 1 g and 1 d?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -1622808*-1.8\nAnswer: 2921054.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o + 5*z - 5, 0 = 20*o - 15*o + 4*z - 5. Let h = 8 - 5. Suppose 0 = -w + 5*r, 4*w + h*r = r. Put o, -2, w in descending order.\nAnswer: o, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -29\/20 and 77\/60436?\nAnswer: 302180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -f - 4*f + 5. Let z be (-2 - f)*4\/20. Which is the third biggest value? (a) 1\/7 (b) 1\/3 (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = -b**2 + 3*b + 4. Let d be r(3). Suppose -4*o = 3*h - 16, -3*o + 8*h - d*h = -12. Solve -3*v = 2*m + 1, 2*v + 14 = -o*m - 0 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from {k: 3, j: 11}?\nAnswer: 55\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(m) = m**3 - 10*m**2 - 690*m + 4158. Calculate u(6).\nAnswer: -126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 429 minutes after 1:43 AM?\nAnswer: 8:52 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -272*u + 139*u - 71 + 137*u. What is the units digit of g(18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = 11 - 67. Suppose t*b - 415 = 753. What is the remainder when b is divided by 21?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.1, -7, 0.04, -0.74913 in ascending order.\nAnswer: -7, -0.74913, 0.04, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -1291*n**4 + 450*n**2 - 3*n - 230303?\nAnswer: -15492*n**2 + 900","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 113, 107, 97, 83, 65?\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -265 or -269?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*v + 5*v = 40. Find the second derivative of 0*s - 29 + 18 + 3*s**2 - 11*s**v - 19 + s wrt s.\nAnswer: -132*s**2 + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5 = -3*l - 4*u - 2, 2*l - 2 = 2*u. Suppose 2*d - v = l, -2*d - d = -v - 4. Solve 0 = m + 3*o - 5, d*m - 26 + 11 = 4*o for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 19, 30, 47, 70, 99?\nAnswer: 134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -h + 57. Let l(t) = 11738*t - 1226. Let w(d) = b(d) + l(d). Differentiate w(k) wrt k.\nAnswer: 11737","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 441090141 to the nearest integer?\nAnswer: 761","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 - -11. Let q = -37 + 223\/6. Put r, -2\/11, q in decreasing order.\nAnswer: q, -2\/11, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 594 is divided by 12\/(-10)*(-195)\/(-429) - (-358)\/11?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -8 by 7100.\nAnswer: -2\/1775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) be the third derivative of -307*v**6\/40 + 847*v**5\/30 - 2012*v**2. What is the third derivative of q(b) wrt b?\nAnswer: -5526","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(p) = p**2 + 14*p + 17. Let j be z(-13). Suppose -3 = -y + j. Calculate the remainder when 13 is divided by y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand c**5 + 0 + 0 - 8*c**2 + 4*c**5 + 8*c**2 + (-c**3 - c**2 + c**2)*(3*c**2 + c**2 - 5*c**2) + 0*c**5 + 2*c**5 + 0*c**5 - 5*c**2 + 3*c**2 - 4*c**2 - 2*c**5.\nAnswer: 6*c**5 - 6*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 144458 - 780912 = 11169*w + 782009 for w.\nAnswer: -127","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -u*v**2 + 2*u*v*y**2 + 12*u*y**2 + v**3*y**2 + 28*v**2 - 6*v*y**2 wrt v?\nAnswer: -2*u + 6*v*y**2 + 56","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 84 a factor of 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 6 + 0)*(-420*j**4 - 20*j - 41*j**4 + 20*j) + 3*j**4 - 4*j**4 + 0*j**4.\nAnswer: -1384*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -2, 1, 1.21, -0.99 in decreasing order.\nAnswer: 1.21, 1, -0.99, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*i**3\/9 + 274*i**2\/9 - 3602*i\/9 - 3874\/9.\nAnswer: 2*(i - 13)*(i + 1)*(i + 149)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 494 divided by -19?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -2950616, -2950613, -2950596, -2950559, -2950496, -2950401, -2950268?\n\"Answer: n**3 + n**2 - 7*n - 2950611","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = x**2. Let p(f) = -20*f + 107. Calculate p(k(r)).\nAnswer: -20*r**2 + 107","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Express 5 - 2 + 465*s**3 - 4 + 473*s**3 in the form n*s + b*s**2 + l + o*s**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9502011?\nAnswer: 3, 43, 571","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 345516 = 44*s + 59164. Is 23 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) = d**2 + 5*d - 18. Let f be p(-9). What are the prime factors of -30*(f\/(-15))\/3?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2616?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 702 and 6942?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -38?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 6.85, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is thirty-three fifths of a microgram in nanograms?\nAnswer: 6600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -125803, -251234, -376659, -502078?\nAnswer: -627491","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l**3 - 4*l**2 + 4*l + 1. Let v be f(3). Suppose -o + 2 = -w - 3, 5*o - v = -2*w. Which is greater: 1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12305 or -154?\nAnswer: -154","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -55\/8 and (3 + 56\/(-6))\/((-8)\/(-14)).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) = -14*t**3 - 2*t**2 + 1. Let x be r(-1). Suppose 3*c = 4*b + 1, 0*c = -b + 5*c - x. Solve -b*d + 5*m + 9 = -0, 2*d - 4*m = 8 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -4*k - 219*k**2 + 9 - 4*k + 109*k**2 + 111*k**2. Let o be 133\/21 + 1\/(-3). Calculate f(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (2*t - 4*t + t)*(-13 - 3 - 10)*(-t - 4*t - 3*t) to x*t**2 + o*t + q and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 8 divide 25445?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b + 203 + 187 = 0. Is (-1)\/(-1 + (-128)\/b) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 1943\/217 + -251\/31. Let w = 14 + -12. What is y in -a - 15\/7*y + 96\/7*y**w - 36*y**4 + 177\/7*y**3 = 0?\nAnswer: -1\/3, -1\/4, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -13. Let f be (m\/4)\/((-66)\/880). Let r(b) = -2*b - 28. Let v be r(f). Solve -3*t = -4*y - 28, t + 4*y + v = -0*t for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-3*sqrt(2) + sqrt(2))*-2 - sqrt(162)*4)*4.\nAnswer: -128*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Sum -82305432119 and 0.1.\nAnswer: -82305432118.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pp when two letters picked without replacement from {g: 2, t: 2, p: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -m**5 + 27*m**3 + 22*m**2 - 192*m - 288 = 0. What is m?\nAnswer: -3, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3 + 4.7. Let w be (2 - 0\/3) + 1. What is the second biggest value in -1\/3, o, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1 - (21 - (13 + -13)) - 16?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"} +{"text":"Question: Solve 33*y - 36*y = -c - 7, 0 = -4*c + 5*y - 21 for c.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -2\/17881697 <= 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -45503433 (base 7) in base 12?\nAnswer: -13b4159","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b**4\/13 - 44*b**3\/13 + 144*b**2\/13 - 148*b\/13 + 50\/13 = 0.\nAnswer: -25, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 10 - 6. Suppose 2*u - 3*j - 26 = j, -y*u + 22 = -2*j. Suppose 3*o + 2*o - 26 = -2*s, s + u*o - 12 = 0. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-v + v + v**3)*(0*v + 0*v + 2*v) + 0*v**4 - 6*v**4 + 37*v - 38*v.\nAnswer: -4*v**4 - v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -10110101101110 (base 2) in base 15?\nAnswer: -36a5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -20*a**2 - 28*a - 7. Let z(h) = -19*h**2 - 24*h - 6. Let j(f) = 6*n(f) - 7*z(f). Let i(y) = -16*y. Calculate i(j(v)).\nAnswer: -208*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(((sqrt(2736) - (4 + sqrt(2736) + -2))**2 - sqrt(2736)) + sqrt(2736) - (1 + sqrt(2736) + -2 + sqrt(2736)))*-6 + 1.\nAnswer: -144*sqrt(19) + 31","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Does 211 divide 223586783?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -36, -56, -78, -102, -128?\n\"Answer: -y**2 - 17*y - 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s = -9*s + 30. Solve j - s = -j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -3223, -6449, -9677, -12907, -16139, -19373?\n\"Answer: -m**2 - 3223*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) be the second derivative of 313*u**5\/20 + 167*u**2\/2 + 658*u. Find the first derivative of d(x) wrt x.\nAnswer: 939*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 - -2. Suppose -11 = 5*k - 36. Let q be w - (-2 - k\/(-1)). Solve d = q*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 65*k + 8 = 863*k - 6 + 14 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 36995, 46005, 55015, 64025?\n\"Answer: 9010*t + 27985","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 594438628 and 28.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -38 - -60. Let v be 4\/(-10) - b\/(-5). Solve -3*z + 27 = -4*g, -5 = -4*z - g - v*g for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 94418 to the power of 1\/2, to the nearest integer?\nAnswer: 307","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) = 16*s - 189. Calculate the remainder when 11 + (-2)\/(-1) + 1 is divided by t(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**3 - 78*n**2 + 90*n - 75. Calculate the remainder when c(38) is divided by 9.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -4 - 25?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 3*m. Let l(b) be the second derivative of 2*b**3\/3 + 12*b. Calculate j(l(g)).\nAnswer: 12*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 13157 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:01 AM and 9:08 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is -5 less than -21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3058 is divided by 1001?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 181 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1522684?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert -24 (base 11) to base 3.\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Find n such that -2*n**4\/5 - 26*n**3\/5 + 756*n**2\/5 = 0.\nAnswer: -27, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(u) = -u**2 - 9*u - 4. Calculate m(-6).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is v in -2*v**3\/3 + 1174*v**2\/3 + 430304*v\/3 + 31776128\/3 = 0?\nAnswer: -136, 859","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 1\/6 (b) 0.4 (c) -0.5 (d) -1.9 (e) 0.22\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c + k + 1 = 0, 0*c + 5*c = 3*k + 1 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 767235.\nAnswer: 3, 5, 7, 7307","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 599369?\nAnswer: 17, 35257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g(p) = -p**3 - 5*p**2 - 5*p + 2. Let z(q) = 4*q - 10. Let f be z(4). Suppose f*k + 22 = -2. What is g(k)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 + 32247\/(0 + 3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in -4, -4\/7, 3?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is 5413 - 422?\nAnswer: 4551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*h = -3*h + 12. Let j be h\/(-14) + 88\/14. Let o = -5 - -8. Solve o*b - b + y = j, -2*y + 15 = 5*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -g**3 + 6*g**2 + 6*g + 3. Suppose -1 - 13 = -2*i. Let d be b(i). Which is bigger: -5 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*r - 6*u = 24, 259 - 271 = -r + 3*u for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -78*d - 64. Suppose -22*o + 17*o + 13 = 2*v, v - 3*o = -10. Give w(v).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -40575 at most -40531?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -279 + 263 - i**3 - i**3 + 8*i**3 - 16*i. Let z(h) = 0*h + 5 - 2*h**3 + 5*h + 0*h**3. What is 5*r(k) + 16*z(k)?\nAnswer: -2*k**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*r**4\/5 - 3166*r**3\/5 - 1437982*r**2\/5 - 168186914*r\/5 + 11746833504\/5 = 0. Calculate r.\nAnswer: -889, -371, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 3\/10*5*(-27)\/((-358344)\/(-224))\nAnswer: -2\/79","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0.071 (b) -591 (c) -3\/8 (d) -2 (e) -4\/7 (f) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -m**3 - 5*m**2 - 4*m + 4. Let w be q(-4). Suppose n + w = 6. Solve -3*f = -5*s - 17, -3*f + 4*s = -n*f - 15 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t = l + 4, -2*l - 3*t - 13 = -5. Which is the fourth smallest value? (a) l (b) 1\/5 (c) -1 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(336\/(-96) - 15\/(-2)).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) be the second derivative of b**5\/20 + 5*b**4\/12 + 2*b**3\/3 + 3*b**2\/2 - 3*b. Give w(-5).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1016 + 171 = 5*s. What is the common denominator of (-20)\/(-80) + (-1)\/(-12)*s and 4\/23?\nAnswer: 138","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -17 + 19. Suppose -5*h + 1784 = z, 0 = -2*z - u*z + 4*h + 7208. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -48578396.45999338 + 48578396. Let b = 0.46 + i. Round b to six dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) be the third derivative of w**5\/60 + 2*w**2. Let g(z) = 8925 - 8925 - 18*z. Calculate x(g(f)).\nAnswer: 324*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence fyd when three letters picked without replacement from lyddf?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 4*b**3 + b**2 - b + 1. Let u be (1\/(-3))\/(5\/930). Let z = u + 63. What is a(z)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find q, given that -68*q**3\/5 - 6588*q**2\/5 - 30504*q\/5 + 736 = 0.\nAnswer: -92, -5, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) be the second derivative of j**4\/6 + 7*j**3\/6 + 3*j**2 - 3*j. What is the least common multiple of t(-4) and 4?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (1 - 2 - -51) + (-10 + 62 - 58)\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 175373.22 times 2?\nAnswer: 350746.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 1334 and 638.\nAnswer: 14674","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from tttttt. Give prob of sequence tttt.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(-32*j - 7*j**2 + 32*j) + 3*j**2 - j + j + 3*j**2 - 3*j**2 + 3*j**2.\nAnswer: 20*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 529\/7 + -526\/7. Factor -9\/7*b - 6\/7 - h*b**2.\nAnswer: -3*(b + 1)*(b + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 77981 is divided by 67.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 104239, 208690, 313139, 417586, 522031, 626474?\nAnswer: 730915","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16 = 13*h + 94 for h.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 30.9 + -23.38. Let n = -7.52 + x. Which is the nearest to n? (a) -0.3 (b) -49 (c) 3 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-17)\/612 + (-110)\/(-13464)\nAnswer: -1\/51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 33 = -9*q + 87. Determine j, given that -2*j**2 + 6*j + 30 + q + 12*j - 4*j = 0.\nAnswer: -2, 9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 41 divided by 17367?\nAnswer: 41\/17367","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1701)*-2 - sqrt(1701))\/sqrt(300))**2.\nAnswer: 5103\/100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 111936 = -323805*g + 322056*g for g.\nAnswer: -64","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 3184250803 to the power of 1\/5, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 5*a = 2*x - 5, 11 = 3*x - 4*a. Let j = 7 - x. Is 55 + (j - (4 + 0)) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 136252, 277360, 418468, 559576?\nAnswer: 700684","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -14.3 - -1.3. Let n = -21 - x. Let g = 9 + n. Which is smaller: 3 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**2 - 6*t - 16. Let v be l(10). Let a be v\/11 + -1 + (-45)\/(-55). Suppose 2*g + 13 - 3 = -4*n, 9 = 3*g - a*n. Which is greater: g or -20?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 7\/44?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is (-13 - -6 - -6)*-18035 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -58, -42, 0, 80, 210, 402, 668?\n\"Answer: 2*b**3 + b**2 - b - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*q - 83*j = -80*j - 24, -5*j = -40 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = -6*r**2 + 4*r + 4. Suppose -4 = 3*k + 11. Let b = -1 - k. Let g(l) = -7*l**2 + 5*l + 5. Suppose 10*c - 23*c = 65. Calculate b*g(u) + c*m(u).\nAnswer: 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (84216\/(-72))\/((-2)\/12). Suppose 0 = 3*z + 2*q - 19675, -h - 12661 = -3*z - 4*q. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 - 10*k**2 + 5*k - 15. Let z be t(10). Suppose 4*q + v - z = -4*v, -5*v + 5 = -2*q. Calculate the remainder when 7 is divided by q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*r - 4*r = -68236 + 67719 for r.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -x**3 + 2*x**2 + 2*x + 2. Let a be (-10)\/(-15) - (-6)\/(-9). Suppose 0 = 4*w - z - 13, 5*z + a = -3*w + 4. Let m be b(w). Sort 5, m, 2.\nAnswer: m, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -3*x + 5 + 0*x + 4*x. Suppose -2*p = -3*t + 321, -t + 2*t + 3 = 0. Let j = 162 + p. Let s(w) = w + 6. What is j*s(f) + 4*q(f)?\nAnswer: f + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -131 (base 7) to base 14.\nAnswer: -51","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = a**3 + 13*a**2 - 14*a - 7. Let v be t(-14). Let r = v - -8. Is (36 - (-3 - -5))\/r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*m - 5 = -3*f, 0 = 3*m + 5*f - 3. Suppose c - 17 = 5*h, -4*h + m = -3*c + 19. Solve 4*t = 4*u - 20, 0 = c*u - 3*u - 5*t - 19 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -31012, -31017, -31026, -31039?\nAnswer: -31056","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (((-51)\/2142)\/((-9)\/42))\/((-3)\/(-27)*-59)\nAnswer: -1\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 28 + 62. Let b(n) = n**3 + 7*n**2 - 5*n - 8. Let f = 44 - 48. Let a be b(f). Calculate the highest common factor of j and a.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 87370817 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 487 a multiple of 42?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -55 - -173. 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 60*m**4 + 197*m**3 - 157*m**2 - 17163115*m wrt m.\nAnswer: 720*m**2 + 1182*m - 314","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*t - 12 = 2*x, -789*t + 0 = -788*t - 0 for x.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.1179 - 0.2821. Which is the third biggest value? (a) v (b) 0.29 (c) -0.05\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - r - 5, -3*i - 2*r + 4 = 2*i. Suppose v - 2*s = 36, 0*s + 4*s - 40 = -i*v. What are the prime factors of v?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((f\/f**(3\/10))\/f**(-5\/8))**7)**(-2\/21))**(-2\/5) assuming f is positive.\nAnswer: f**(53\/150)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*l + 18 = 7*l. Let u be (-106)\/(-22) + l - (-4)\/22. Factor 20\/7*w**2 + 16\/7*w**u + 0 + 4\/7*w.\nAnswer: 4*w*(w + 1)*(4*w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -0.5782 + 0.0322. Round h to 2 dps.\nAnswer: -0.55","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) = -d**3 - 6*d**2 - 5*d + 5. Let t be j(-5). Let q(i) = 2*i + 1 + 1 - i. List the prime factors of q(t).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(h) = -h**3 - 54*h**2 + 53*h - 113. Give y(-55).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-1)\/((5\/40)\/(-1)). Let l(s) = -s**3 + 8*s**2 + 5*s + 1. Let m be l(g). Suppose 6*d + m = 125. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uddg when four letters picked without replacement from {z: 2, j: 4, u: 4, d: 3, n: 3, g: 1}.\nAnswer: 1\/2380","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, -5, 6 in increasing order.\nAnswer: -5, -1, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor -6 + 3*h + 13*h**2 - 5*h**2 - 4*h**2 + 11*h**2 + 6*h**3.\nAnswer: 3*(h + 1)*(h + 2)*(2*h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1954 - 176 = -30*g. Suppose -3*v = 68 - g. Put 35, v, -3 in increasing order.\nAnswer: -3, v, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 8*y**2 + 1270*y - 5908. Give k(-163).\nAnswer: -366","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(b) = b + 1. Let a(q) = 13*q + 1. Let r(g) = -13*g - 2. Let j(p) = -6*a(p) - 7*r(p). Calculate -j(d) + 6*k(d).\nAnswer: -7*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = 3*y**2 - 11*y + 3401. What are the prime factors of f(106)?\nAnswer: 3, 11981","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.26 + -0.5. Let g = -0.04 - r. Let h be (-2 - -3) + 8\/(-6). What is the nearest to g in 0.5, 2\/7, h?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(x) be the first derivative of -x**2\/2 - 55. Let i(k) = -337*k**2. Calculate i(n(s)).\nAnswer: -337*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 15\/7, -0.014, -10?\nAnswer: -0.014","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 39247 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 3*t + 7 = -3*n, -5*n + 2*t - 30 = 0. Let l(c) = -c**3 - 8*c**2. Let q be l(n). Sort q, -4, 3 in increasing order.\nAnswer: -4, q, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 165 and 5.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1040 a factor of 41502240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 43\/2 of a litre?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 287692833.\nAnswer: 3, 43, 2230177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k(y) = 5*y**3 - 28*y**2 + 28*y**2. Let s be k(2). Suppose -3*d + s = 4*a - 16, -5*a + 3*d = -70. Is a a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 6\/7? (a) 1.3 (b) -2 (c) -130\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -56937, -56938, -56939, -56940, -56941, -56942?\n\"Answer: -b - 56936","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-46)\/(-3 + (-176)\/(-48)) + 0\/3.\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-162)\/(-90))\/((-3)\/(-5)). Suppose -113 - 73 = -p*s. What is the tens digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21739, 21549, 21347, 21127, 20883?\nAnswer: 20609","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(s) = s**2 - 59*s - 24. Let x(m) = -3*m**2 + 178*m + 69. Give -17*c(g) - 6*x(g).\nAnswer: g**2 - 65*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) be the third derivative of u**8\/10080 + u**7\/5040 + u**6\/360 - u**5\/15 + u**2. Let c(a) be the third derivative of o(a). Give c(-3).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00709547729 to three decimal places.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*r + r = -2*u + 10, 4*r + 22 = 3*u for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 102018411 is divided by 13.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/11, -3\/7, -1, 5, -261 in descending order.\nAnswer: 5, 1\/11, -3\/7, -1, -261","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -6*(0 + 4\/6). Let b be (-5)\/i - 4\/16. Let t(a) = -2*a - b - 2 + 7. Determine t(3).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-1\/9)*v*v**(3\/4)*v**0\/(v\/(v*v**(2\/17))*v*v) assuming v is positive.\nAnswer: v**(463\/612)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/(-14) + (-4 + 4)\/2.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -28 and 4897.\nAnswer: 4869","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 4*f**2 + 2*f + 3. Let b = -143 + 141. Let y(t) = -5*t**2 - 2*t - 3. Give b*y(r) - 3*g(r).\nAnswer: -2*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-6)\/5*(1963500\/180)\/(-187).\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -89126 by 3.\nAnswer: -89126\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1\/(-2 - 158\/(-78))?\nAnswer: 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*v - 699 - 343 = -28*v + 197 for v.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 - -4. Which is the biggest value? (a) -0.5 (b) 0.1 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = 9*a + 18. Let p(q) = 11*q - 1. Let d(v) = -9*v + 1. Let l(g) = -6*d(g) - 5*p(g). Let i(m) = -k(m) - 18*l(m). Let c(w) = -5*w. Give -7*c(j) - 4*i(j).\nAnswer: -j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand -m**5 + 0*m**3 + 0*m**3 - 2*m**5 + m**5 + 0*m**5 - 3*m**5 - 3*m**5 + 5*m**5 + (-m**4 + 0 + 0)*(0*m - 3*m + 4*m) - 5*m**5 - 3*m**5 + 4*m**5.\nAnswer: -8*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -3\/230960 and -67\/837230.\nAnswer: 6697840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -83\/121365 and 163\/2610.\nAnswer: 242730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -5.4? (a) -1.7 (b) -1\/34 (c) -25\/4 (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 46.96347 years in centuries?\nAnswer: 0.4696347","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ks when two letters picked without replacement from {b: 1, k: 2, s: 11}?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1)\/(-1)*(-71)\/142?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1\/2113? (a) -1\/6 (b) 17 (c) -2 (d) -0.2 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 23973558 or 23973561?\nAnswer: 23973561","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 53*s = 52*s + 462. Does 12 divide s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -494, -985, -1476, -1967, -2458, -2949?\nAnswer: -3440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 + 8*g**3 - 8*g**3 - 11 - g**3.\nAnswer: -g**3 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -3*w**3 + 39*w**2 + 133*w - 24. What is the remainder when q(-4) is divided by 59?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(252)*-2 + (sqrt(7) - (sqrt(7) + -1 + 2)).\nAnswer: -12*sqrt(7) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 2\/32 - (-1 + ((-2862)\/(-224) - 10))?\nAnswer: -12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = -3*r - 1020, -321 = 4*r - 2*l + 1041. Let s = -113 - -79. Let y = s - r. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxx when three letters picked without replacement from xxxxxxwwwwx.\nAnswer: 28\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, -0.4, 0.2 in descending order.\nAnswer: 0.2, -0.4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 998277585?\nAnswer: 3, 5, 29, 2294891","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 122.189 rounded to the nearest integer?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -4864543 or -24322722\/5?\nAnswer: -4864543","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 253*k**3 + 401?\nAnswer: 759*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((i\/((i\/i**(2\/7)*i)\/i))**(-48))**45*(i**2\/i)**(2\/11)*(i\/(i*i**(-8)*i))\/i*(i*i*i\/i**(2\/11))\/i*i assuming i is positive.\nAnswer: i**(-4257\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 5531 and 47.\nAnswer: 259957","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4921364?\nAnswer: 2, 7, 17, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3259*u - 4496 = -3540*u for u.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.1949 and -1876?\nAnswer: 365.6324","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = -3*c + 7. Let z be j(-2). Suppose 181 = 7*y + z. Suppose 3*f - 5*p = f + 269, p + 1 = 0. Calculate the highest common factor of f and y.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -0.0965, 24, 0.1, 2\/3, 5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*v + c - 143 = -v, -5*v - 4*c = -718. Suppose 18 = -2*i + v. Is 32 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -16 - -16.000029. Round a to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 26158 - 41021 = 3*y, -111965 = -5*l - 3*y. Is 49 a factor of l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -90 divided by 73?\nAnswer: -90\/73","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = 4*k**2 + 4*k + 7. Let m(s) = s - 11. Let y be m(6). Does 29 divide n(y)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 4*b**3 - 6*b**2 + 7*b + 1. Let i be r(6). Suppose p + 0*q - 2*q = 131, -i = -5*p + q. Is p prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4760 divided by 197\nAnswer: -4760\/197","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 3, 4, -3, 15, -117.\nAnswer: -117, -3, 3, 4, 5, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -18 - -13. Let f(a) = a + 8. Let w be f(j). Suppose 72 = 5*u - w*y, u + y = 3*u - 29. Is u a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**9\/d**(-8)*(d\/(d\/d**(2\/9)))**(2\/13))**(-6) assuming d is positive.\nAnswer: d**(-3986\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -3 divided by -414711\nAnswer: 1\/138237","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -5.3216737 to 1 dp.\nAnswer: -5.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 7*h**4 + 57*h**3 + 210*h - 3 wrt h?\nAnswer: 84*h**2 + 342*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = o**2 + 9*o + 3. Let d be f(-9). Let g = -12 - d. Let v = g + 21. What is the remainder when 22 is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -173812453*c**3 + 119*c**2 + 24*c + 22700?\nAnswer: -1042874718","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63411 is divided by 166?\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -199 - 29 = -4*y + z, 0 = z. Let g be (-1 + 11\/(-2))*4. Let j = g + y. Is j composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 21803 or 22236?\nAnswer: 21803","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 0.9. Let z = -3.73 - -0.33. Let l = z - -2.4. Which is the closest to k? (a) 2\/5 (b) 1 (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*o - 52 = -4*t + 34*o - 32*o, -7*t + 31 = -5*o for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 at most as big as 6810111?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.37 + 0.03. Let r = f - -0.1. Let i = 1.08 + -0.08. What is the second smallest value in r, i, -2\/11?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -9 + 4 + 5 - 21*g. Let h(a) = -2*a**2. Calculate w(h(v)).\nAnswer: 42*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*c - 9*c + 10 = 0 for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -65 - -70. Solve -5*g = -5*m - 9*g + 17, -m - h*g = 5 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, g: 1, v: 5, f: 2, i: 5, z: 2}. Give prob of sequence vn.\nAnswer: 5\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 6787?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-18)\/(-27)*30\/(-4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = n - 18. Let c be r(16). Let q(g) = g + 2. Let a be q(c). Solve 5*w = a, 3*w = -3*i - 0*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 4*m - 20 = -0*q, -q - 5*m = 24. Let k be -5 + (110\/(-66))\/((-5)\/18). Let w = k - q. Calculate the remainder when 39 is divided by w.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1896999 and 206375.\nAnswer: 1651","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10164 or -294720\/29?\nAnswer: -10164","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8 - 4 = -3*k. Let t be 18\/3*(-9)\/(-6). Suppose -t*v + 4*v + 5 = 0. Put k, v, -4 in descending order.\nAnswer: k, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-11 - 0 - -10)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*p - 3*p - p)*(249 + 83 + 101)*(0*p**4 + 4*p**4 - 5*p**4).\nAnswer: 866*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6*0.07438\nAnswer: -0.44628","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-172)\/(-24) + (-17)\/34 - 8?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 + 2*h + 5)*(0*h - 2*h + 0*h) + 3*h**2 - 3*h**2 - 2*h**2 + (h - 2*h - h)*(-1 + 1 - 4*h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*i**3 - 916059*i**2 - 30232944*i - 82454220 = 0 for i.\nAnswer: -30, -3, 305386","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2659781 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {s: 1, q: 3, h: 1, a: 5, g: 4, j: 1}. What is prob of picking 3 a?\nAnswer: 2\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2, 2\/9, -0.046?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = d**2 + 8*d. Let k be u(-8). Solve -5*a + k + 20 = 0 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 8\/7, 1\/3, -4, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.02 (b) -3574 (c) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-7)\/(140\/(-8))*5. Suppose 0 = -2*y + 8 + t. Suppose -u - y*d + 7 = -19, 2*d = -4. List the prime factors of u.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 150960 divided by -18870.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 0 - 2\/9*h**3 + 140\/9*h - 22\/3*h**2 = 0.\nAnswer: -35, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6747743 micrograms to kilograms.\nAnswer: 0.0000000006747743","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -n = -4*l - 52, 5*n + 7*l + 48 = 5*l for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-2261)\/(-35) + 4\/10. Suppose v = 6*j - j. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(d) = -2*d. Let q(h) = 3*h + 4. Let j be q(2). Let n(g) = 2*g + 11*g - j*g. What is 2*n(f) + 4*y(f)?\nAnswer: -2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 4*i + 0*i)*(307*i - 306*i + 1 - 4) to the form q*i**2 + d*i + g and give q.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-3)\/(-6))\/((-2385)\/41340)?\nAnswer: -26\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkfffkikikfkfkff. What is prob of sequence ffi?\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -476, -474, -472, -470, -468?\n\"Answer: 2*v - 478","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = 16*w - 4. Let h(r) = -16*r + 3. Determine 2*f(i) + 3*h(i).\nAnswer: -16*i + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (3\/12 + (-2)\/(-4))*-484. Let x be 2*k\/(-10)*(-60)\/12. Is (4\/(-6))\/(11\/(x\/2)) even?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 23.161 - 23. Let r = 363.161 - d. Let n = 362.9999591 - r. What is n rounded to 5 decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116*m - 1441 + 49 = 0 for m.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.079807 or 18\/7?\nAnswer: 0.079807","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - 5*u = 37, 4*p - 4*u + 60 = 8. Let o(r) = 2*r**2 - 27*r - 43. Let x be o(p). What is x rounded to the nearest 10?\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1 + 15. Let m = -11 + k. Let n = 3 - 2. Sort 0.4, m, n in descending order.\nAnswer: m, n, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-3)\/9)\/((-4)\/(-8))*3.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*y = 3*y + 40. Let b be 15\/y - 3\/(-6). What is the third derivative of 5*i**4 + 2*i**4 - 2*i**b - 3*i**2 + 8*i**2 wrt i?\nAnswer: 168*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*b = 5*b. Suppose b = 3*v - 600 - 21. Calculate the greatest common factor of v and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 861*j - 861*j + 0 + 1 - 2*j**2 + j**3 to k*j**3 + o*j + r + y*j**2 and give y.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*p + n - 18, 20*p - 13*p - 26 = 3*p - 2*n for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 7654 to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Product of -14 and -4.\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = -c**2 - c + 8. Suppose 4*y = 2*y + 10. Suppose y*h = 2*o + 23, 2*h = -3*o + 2*o + 11. What is the remainder when x(0) is divided by h?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -z**2. Suppose 3*m + 5*d = 4*d + 9, m + 4*d - 14 = 0. Let j(h) be the second derivative of 0*h**3 - 4*h**3 - 2*h + m*h**3 + h**3. Calculate s(j(l)).\nAnswer: -36*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 837811 (base 16) in base 7?\nAnswer: 133143253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 l and 1 q when two letters picked without replacement from {l: 2, q: 1, i: 1, p: 1, y: 1, n: 1}?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3867 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fttyqq. Give prob of sequence yf.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -23, 2, -5, -4 in descending order.\nAnswer: 2, -4, -5, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 3439302617 a multiple of 402?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*o + 6 = 5*r + 1, -3 = -2*o - 3*r. Solve 13 = 3*a + 5*d + 4, 4*d = o for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -11*30\/(-66) - -15*20 a multiple of 35?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 334980000 rounded to the nearest one million?\nAnswer: 335000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes after 6:29 AM?\nAnswer: 5:46 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 242*a = 285*a - 1849. What is the remainder when a is divided by 11?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-156)\/(-18) - 5) + 3*-1. Which is smaller: 58 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(h) = -4*h**3 + 19*h**2 + 5*h - 8. What is i(5)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is twenty-one halves of a minute in seconds?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 515 divide 50032550?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (88*p**2 + 70 - 70)*(59*p**2 + 531*p + 2 - 531*p) to the form q*p + t*p**2 + r*p**3 + n*p**4 + x and give n.\nAnswer: 5192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2*f + 4*d + 4 = 0, 0 = -3*d + 3. Solve -4 = -f*v + 3*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v + 3 = -3*q - 16, 5*v - 5 = 2*q. Let k = 2 - v. Let s = -1 - -1. What is the third smallest value in 1, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 5152490 + -4.\nAnswer: 5152486","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56817*v**2 - 73867*v**2 + 130680*v**2 - 3 + 3.\nAnswer: -4*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 1\/494046 and 77\/41824.\nAnswer: 7904736","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22071 = 16*q - 17241. What is the thousands digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -16*m**3 + 161*m**2 - 18*m + 83. Let b be j(10). Factor 0*q**2 - 12\/7*q**b - 4\/7*q**5 + 0*q + 0 + 16\/7*q**4.\nAnswer: -4*q**3*(q - 3)*(q - 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine u so that 3*u**2\/4 + 20053347*u - 80213391\/4 = 0.\nAnswer: -26737797, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -248 + -3?\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -115 or -106?\nAnswer: -106","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 4, -20, -5, -1453, -19, -1 in ascending order.\nAnswer: -1453, -20, -19, -5, -1, 2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25 = -0*r - 5*r. Suppose r*x - 84 = x. Let l = x + -13. Solve 2*u + 2 = -l for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t - 4*o = -o - 1417, -2*t + 1435 = -3*o. Let f = 1035 - t. What is the units digit of f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(-1 + sqrt(13) - sqrt(13))**2 + 1.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 4, p: 4, m: 1, x: 1, c: 3, v: 1}. What is prob of picking 3 p and 1 c?\nAnswer: 12\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -i**3 + i**2 + i. Let q(l) = l**3 - 2*l**2 - 2*l - 5. Let b(d) = -2*c(d) - q(d). Calculate the least common multiple of b(0) and 8.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 70 and 91455.\nAnswer: 182910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -7*a - 74. What is h(-11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -25 - -45130232?\nAnswer: 45130203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 4 (b) 2\/7 (c) -4 (d) -7 (e) -127 (f) 46 (g) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 77a444 + -2?\nAnswer: 77a442","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3232)\/(-2828)*((-6)\/104)\/(4*(-9)\/(-168)).\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (-7 - -9) - (-5 - -1)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1.81 - -0.19. Let i = -7 - -7. Which is the closest to p? (a) -3 (b) 1\/10 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*n + s + 3*s + 50, 30 = n - s. Calculate the greatest common factor of 14 and n.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-146)\/(-584)*(1 - (-250)\/22). Find d, given that -l*d + 12\/11 + 10\/11*d**2 = 0.\nAnswer: 2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2819577.3us to minutes.\nAnswer: 0.046992955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-22)\/77 - (-99)\/(-21). Is (2 + 5 + q)*17218\/4 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*g = -2*z + 6, -5*g + 1 = -8*g + 5*z for g.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*y + 3*c + 9 + 38 = 0, -3*y + 2*c = -36. Find the second derivative of 4153*d**2 + y*d - 4153*d**2 + 5*d**4 wrt d.\nAnswer: 60*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1558 - 3955 = -47*s. Let n be (6\/s)\/(2\/(-6)). What is the nearest to -3 in 1, 5, n, 2\/13?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -1183, -1184, -1185, -1186, -1187?\n\"Answer: -y - 1182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -729 - -25513\/35. Let q = z - -113\/140. Let v = 92\/3 + -31. Which is the nearest to -1\/4? (a) v (b) q (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = -4*i - 5. Let l be (24 - (-3978)\/(-162))*-9. Let y(n) = -4*n - 6. Calculate l*k(u) - 4*y(u).\nAnswer: -4*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 31187465 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in 5, -361, 0.4, -0.2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = p**2 + 13*p - 325. Let c be a(-34). Solve 11*s - c = -466 for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 + -1 + 2 + -7.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 3.9 * 1\nAnswer: 3.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.3 in 2\/5, 2, 21\/2?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is -8850 times 2255?\nAnswer: -19956750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1, 15 in ascending order.\nAnswer: 0, 1, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) be the first derivative of -4*g**2 + 2 + 0*g - 3\/2*g**4 + 0*g**3. Find the second derivative of k(q) wrt q.\nAnswer: -36*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or -7\/3892496?\nAnswer: -7\/3892496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 677 minutes before 1:37 AM?\nAnswer: 2:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3 + 1?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -95, -393, -895, -1607, -2535?\n\"Answer: -i**3 - 96*i**2 - 3*i + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 88945069 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 1 + 9 + -9?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (112\/32)\/((-5)\/(-640)). Suppose k*z - 1274 = 435*z. Find c such that -32\/7*c - 144*c**3 - 320\/7*c**2 + 0 + z*c**5 - 112*c**4 = 0.\nAnswer: -2\/7, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 570\/(-33) - (2 + 225\/(-99)).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 103311 or 103313?\nAnswer: 103311","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k, 1 i, and 1 t when four letters picked without replacement from {t: 4, i: 1, k: 8}.\nAnswer: 112\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**5 - 5808*f**4 + 136276*f**3 + 836352*f**2 - 19540800*f = 0. Calculate f.\nAnswer: -1475, -12, 0, 12, 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n\/(n\/((n*(n\/n**(-21)*n*n)\/n)\/n)))**21*(n\/(n**39\/n*n))**(8\/3))**(4\/25) assuming n is positive.\nAnswer: n**(916\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3642, 3588, 3448, 3180, 2742, 2092?\n\"Answer: -7*v**3 - v**2 - 2*v + 3652","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2214 = -301*i - 3204. What is the biggest value in i, -0.5, -4?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 834348824?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*p + 3576 = -0*p. Suppose 20 = -4*a, -j + p = a + 4*a. Is j a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 287595 and 405090?\nAnswer: 315","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 + 41*q**2 + 112*q - 93. Let o be z(-38). What is the closest to 2\/9 in 0.8, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 66294790?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 58*i**2 + 34*i**2 - 20*i**2 + 63*i**2 - 39*i**2 + 108*i**2.\nAnswer: 204*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3.4 - -0.4. Let w = d - 4. Let z = w + 7. Which is the nearest to z? (a) -1 (b) -4\/7 (c) -1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 19 - 16*k + 38*k + 6*k**2 + 71*k + 24 - 2.\nAnswer: 6*k**2 + 93*k + 41","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.257969234 to 2 dps.\nAnswer: 0.26","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -111053 and 35.\nAnswer: -3886855","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:41 PM and 6:54 AM?\nAnswer: 493","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wxrp when four letters picked without replacement from {w: 2, x: 1, p: 2, t: 1, r: 2, e: 1}.\nAnswer: 1\/378","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 113 + -115. Let k = -2.3 + 2. Which is the second biggest value? (a) k (b) 0.2 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 26459?\nAnswer: 26459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zzzzllzlzllzl. Give prob of sequence llz.\nAnswer: 35\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 8065962 a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-2)\/18 + (-46)\/(-9) + 0. What is the third derivative of -u + 157*u**5 + 40*u**s - 61*u**2 - 50*u**2 wrt u?\nAnswer: 11820*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 4*v - 21. Let k be l(7). Let n = -271688\/79 - -3439. Let w = -229\/3476 - n. Is w not equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -5*w**5 - 10*w**4 - 18*w**3 - 12*w**2 - 9*w + 2. Let z(b) = b**5 + b**4 + b**3 - b**2 - 1. Let n(y) = -u(y) - 4*z(y). Factor n(l).\nAnswer: (l + 1)**4*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0000685714 to four decimal places.\nAnswer: -0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 3\/5*(-10)\/210*-14\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n(o) = 5*o**2 - 80*o + 460. Does 8 divide n(10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 0*t + 18910 = g, -11353 = -3*t - 2*g. Is t a multiple of 20?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13 - -11*78\/1144*(-40)\/6?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 55 = -2*s, 3*s - 34 = -5*m + 16. Let z = 9 - 9. Suppose z = -0*y + 5*y - s. Solve y = -4*a + 1 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is three eighths of a litre in millilitres?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k**2\/3 - 18539*k\/3 - 67936 = 0 for k.\nAnswer: -18528, -11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, 0, -1, -4, 6487, 8 in descending order.\nAnswer: 6487, 8, 2, 0, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q(b) = 915318*b - 6407232. Give q(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) = -137*s**3 - 11*s**2 - 42*s + 16. List the prime factors of l(-5).\nAnswer: 2, 3, 1423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 3\/(-2) + 1\/(-2). Does 16 divide (8\/(-6))\/(v\/24)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -4893405 minus 4?\nAnswer: -4893409","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 0 - -1200?\nAnswer: 1200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let w(t) = 6*t**2 + 95*t + 275. Suppose 2*y - 32 - 4 = -2*m, -4*m - 3*y = -69. What is the remainder when w(-3) is divided by m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101001100000000111111000111 + 1?\nAnswer: -101001100000000111111000110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 19905965.\nAnswer: 5, 3981193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express -21 + 42*m - 12*m + 21 in the form z + w*m and give w.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 102 minutes before 10:50 AM?\nAnswer: 9:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6207 is divided by 2990?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4 - 1) + (27 - 11) + -14?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*i + 5*i - 66 = 0. Is i a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -23970000 rounded to the nearest 1000000?\nAnswer: -24000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5306, -10580, -15854, -21128, -26402, -31676?\nAnswer: -36950","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -5, 4, -17, 9, -3, -621 in decreasing order.\nAnswer: 9, 4, -3, -4, -5, -17, -621","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = 4*t. Let a(l) = 2*l + 5. Let i(d) = 3*d + 6. Let p(o) = -6*a(o) + 5*i(o). Determine n(p(y)).\nAnswer: 12*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-68)\/(-18) - (-3 + (-100)\/(-36))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k**(2\/9)*k*k)\/k)**(-8))**17 assuming k is positive.\nAnswer: k**(-1496\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*z**2\/15 - 692*z\/15 - 672.\nAnswer: 2*(z - 360)*(z + 14)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 208 = -4*n, 4*n + 13 = -3*v + 241. What is the remainder when n is divided by 37?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.1208835 centuries to years.\nAnswer: 12.08835","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z*z\/(z**(-2\/7)*z)*z)\/z**(5\/4))**(7\/6) assuming z is positive.\nAnswer: z**(19\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(1\/3))**31*(p**(-1)\/p)**(-21)*(p**3*p**(2\/5))\/(p**5*p**(-1\/5)) assuming p is positive.\nAnswer: p**(919\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11 + 3 = g. Let f(d) = -d - 11. Determine f(g).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -1265*w - 363*w + 210*w - 69482 for w.\nAnswer: -49","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 4 and 76?\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yppypypyyyypyy. What is prob of sequence yyp?\nAnswer: 15\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.0997 + -5.4303. Let q = x + 6.53. Which is the biggest value? (a) q (b) 4\/5 (c) -4 (d) -62\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 1973658?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tuus. What is prob of sequence ts?\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -8 - 8*80\/(-128).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1866024434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 9403603 and 788326.\nAnswer: 131650442","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -43\/105 and -113\/25434?\nAnswer: 890190","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*((sqrt(112)\/sqrt(288) + sqrt(14) - sqrt(14)) + sqrt(14) - sqrt(84)\/(sqrt(30)\/sqrt(5)))\/(sqrt(18)*1*-2))**2*2.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 0.02550851?\nAnswer: -0.007652553","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2 - 2 = -2*w + 3*w + 6*k, 62*w + 4*k = -54*w + 117*w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22303014 (base 5) to base 14.\nAnswer: 51c5d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -1856 (b) -77\/16 (c) -52\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = 2*i**3 - 120*i**2 + i + 52. Let c be y(60). Solve 18*m - c = -38*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = -3*g - 20. Let c be f(-12). Calculate the greatest common factor of 80 and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -12, 297, 0.1, -0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4\/6*(-32175)\/(-10010).\nAnswer: 15\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.4, -1\/3, -2, -5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (16\/(-20))\/(7 - 264\/40)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) = 72483908*f. Let b(o) = -o**2. Give b(p(d)).\nAnswer: -5253916918952464*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -85 - -157. Let p = i + -41. List the prime factors of p.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 - (5 + 2) - (-27 + (-76 - (-48 + 26)))?\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 63549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-1)\/(-3))\/(5\/15) + 5. Let w be (64 + -50)*n\/7. Let d(z) = z - 19. Calculate d(w).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 1.74 + -3.1. Let b = l - -1.3314. Round b to two dps.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16)\/1*508\/(-2286)*1\/4?\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 665 minutes before 4:20 PM?\nAnswer: 5:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -m**3 + 27*m**2 - 14*m + 7. Let d = 180 + -166. Is l(d) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -731, -1453, -3377, -7097, -13207, -22301?\n\"Answer: -99*p**3 - 7*p**2 - 8*p - 617","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 404840?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-18)\/(-44)*((-32)\/(-24) - 0).\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -127\/12 and 31\/606.\nAnswer: 1212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6, 3, 8, 4, -3 in decreasing order.\nAnswer: 8, 4, 3, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*d + 5*w = 0, 860*d = 855*d + w - 4 for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r + 9. Let l be b(7). Suppose -36 = -l*c + 6. Let f = c - 12. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -2094138, -4188302, -6282494, -8376714, -10470962, -12565238, -14659542?\n\"Answer: -14*f**2 - 2094122*f - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 1, 110, 395, 946, 1853, 3206?\n\"Answer: 15*w**3 - 2*w**2 + 10*w - 22","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ooffffogfggffofoo. Give prob of sequence goo.\nAnswer: 3\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = 6*l - 64. Let a be g(-16). Let t = a + 163. Solve -21 = -t*j - 12 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_test"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4008212803?\nAnswer: 7, 6599, 86771","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*o + 0*o - 4*o)*(o + 2*o - 6*o)*(-2 - 3 + 6)*(-3 + 3 + 4*o) + (-3 - 6 + 2)*(-7*o**3 + 2*o**3 + 9*o**3).\nAnswer: -4*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = -293422*i. Let a(b) = 115*b**2. Calculate v(a(n)).\nAnswer: -33743530*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 851*q**2*z**4 - q**2*z**2 + 2*q**2 + 2*q*z**2 - 10*q + 596*z**5 + 4*z wrt z.\nAnswer: 20424*q**2*z + 35760*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 111 + -109. Suppose 3*d = -p*z + 4, 5*z - 25 + 26 = -2*d. Let o = 238 + -2140\/9. Which is the nearest to 7? (a) o (b) z (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3477217 to the power of 1\/3, to the nearest integer?\nAnswer: 151","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -345\/41212 or -1?\nAnswer: -345\/41212","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 18 and 414?\nAnswer: 414","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 255\/21 - (-1)\/(-7). Suppose 4*m = -x*l + 7*l + 45, 5*m - 30 = -l. Solve -20 = 3*f - r, 0*f = 5*f + 4*r + l for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 221112 (base 3) in base 9?\nAnswer: 845","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -1.05 and -2525.4?\nAnswer: 2524.35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(-2\/9)*o*o\/(o\/(o*o**(3\/20)))*o**(1\/61)*o\/((o*o**(-4\/9))\/o) assuming o is positive.\nAnswer: o**(37207\/10980)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 8, 2, -4, -10, -16?\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = s**2 - 104*s + 309. Let d be i(3). Is d less than or equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -40712811 and -1800.\nAnswer: -40714611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(y) = 14*y + 2*y**2 + 4651 - 4614 - 3*y**2. Let p be d(16). Suppose 6*s - 7*s + 14 = u, p*s - 3*u - 30 = 0. What is the remainder when 14 is divided by s?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 v when two letters picked without replacement from cgcccgccwcwwwvcc?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + -7. Suppose k*n - 16 = 4. Find the third derivative of t**6 - 2*t**2 + t**6 - n*t**6 wrt t.\nAnswer: -360*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) be the second derivative of -c**4\/6 + 3*c**3\/2 - 7*c**2\/2 + 48*c + 4. Suppose 2*u + 0*u = -24. Let x = -6 - u. Determine w(x).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 563, -73, 1268?\nAnswer: 1268","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 0 + -3.257\nAnswer: -3.257","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 26*h - 1298 + 1256 = 5*h. Solve 4*y - 2*y = m + 8, -h*m - 12 = -2*y for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1360 (base 12) to base 4\nAnswer: -202320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(5*sqrt(2299)*-2 + -1)**2*1.\nAnswer: 1320*sqrt(19) + 1379406","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -6 - 11 - 4*v + 4*v**2 + 0*v. Does 17 divide g(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -658253 + 0.1482?\nAnswer: -658252.8518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -1112500 to the nearest 100000.\nAnswer: -1100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2928226 minutes in milliseconds?\nAnswer: 17569.356","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 0, -18, -48, -90, -144?\n\"Answer: -6*s**2 + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 80 is divided by 21.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 228 and 2100.\nAnswer: 39900","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.17589964258 take away -3?\nAnswer: 2.82410035742","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is -8 + 15 + (2 + -32 + 8 - -4) - 2?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 0 + 3f0d?\nAnswer: 3f0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**3)**(-4\/5))**(-6\/7) assuming x is positive.\nAnswer: x**(72\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 4 + -5 - (-13 - -6) - -11.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:39 AM and 1:43 PM?\nAnswer: 424","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(d) = 18*d**2 - 62*d + 334. Calculate r(6).\nAnswer: 610","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 32265 and 3645?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 348 is divided by 22.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = -i**3 + 9*i**2 - 8*i - 5. What is b(8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 66 - -2076844?\nAnswer: 2076910","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -262.7 and 1.\nAnswer: -262.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -22 - 8 = -2*h. Suppose h = 3*v - 0. Let a(b) = -b**3 - 22*b**2 + 2*b + 63. What is the remainder when a(-22) is divided by v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -a - 5*y = -4, -a + 1 = 6*y - 4*y for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 8568?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-30)*(-315)\/(-28).\nAnswer: -9\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine c so that -3*c**4 - 30*c**3 + 36*c**2 + 408*c + 480 = 0.\nAnswer: -10, -2, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (-3)\/(90\/(-12)) - 36\/(-10). Suppose 0 = -u + 2*u - 4. Suppose 9 = u*n - 15. Sort q, -2, n.\nAnswer: -2, q, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*u + n = 14, u + 4*n - 18*n = -n - 50 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -14*r**2 - 32*r. Let f(y) = 5*y**2 + 11*y. Let g(n) = -8*f(n) - 3*t(n). What is the second derivative of g(d) wrt d?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -280 = -86*y + 84*y. Let a be ((-4)\/(-14) + 18160\/y)*1. Calculate the highest common factor of 5 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4770*g - 105*g - 96236 - 180296 = 45218 for g.\nAnswer: -66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 105416 (base 11) in base 4?\nAnswer: 221010033","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u = 9 + 13. Suppose u - 12 = w. Suppose -w*y - 130 = -15*y. Calculate the remainder when 101 is divided by y.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (u**3 + u**3 - 4*u**3)*(0 - 7 + 1) + 3*u**3 + 0*u**3 - u**3 + (1 - 2*u**2 - 1)*(u - 2*u + 0*u) - 5*u**3 + 4*u**3 + 3*u**3.\nAnswer: 18*u**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -88, -186, -334, -520, -732?\nAnswer: -958","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*d**3 - 11732265*d**2 + 6882272770755*d + 34411657161025 = 0.\nAnswer: -5, 1173229","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 143733 + 132774 = 77*b. What is the units digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -64\/721 + 122327\/21630. Calculate the common denominator of a and 13\/16.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 4*r - 6)*(10 - 14 - 14)*(1 - 6 + 3).\nAnswer: -144*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-173 - -182) + 3 + -4 + 1 - -33?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 97 divide 1486525?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.03876 plus 8061965734?\nAnswer: 8061965733.96124","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 462 minutes after 1:33 AM?\nAnswer: 9:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 12350 and 14326?\nAnswer: 494","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 3 + -6. Let a(f) = -f**3 - 2*f**2 - 3. Let j be a(k). Solve -2*s - j = -0*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(l) = -l**3. Let p(q) = q - 4. Let m be p(2). Let w be k(m). Suppose -w + 2 = -3*v. Calculate the smallest common multiple of v and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1799a0 + -4?\nAnswer: -1799a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 1\/4, 15, -11924, 9?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p + 3 = -x, 2*x - 3*p + 12 = -2*x. Let d(m) = 25*m + 7 + 17*m - 79*m + 10*m. Let z be d(x). What is the highest common factor of z and 11?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor k**3\/11 - 48*k**2\/11 + 47*k\/11.\nAnswer: k*(k - 47)*(k - 1)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*x + 3*x. Suppose k + x*k - 16 = 0. Solve 0 = 5*n - v - k, -8 = -5*n - 4*v + 3 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 8.99 + 0.01. Let r = 7 + -6. Suppose -4*y - 2*i - 1 - 11 = 0, -5*y - 2*i = 17. Which is the closest to r? (a) q (b) y (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -8283 + 1214?\nAnswer: -706c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.5, -19, 14, 2\/7, -3, -48?\nAnswer: -48","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k + 0*k - 7984 = 0. Suppose -15962 = 2*h - 6*h - u, -h - u = -k. Suppose h - 35 = 5*s. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*r + 3*p + 6 = 0, -r = r - 5*p + 21 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*w + 23*w**2 + 48*w**2 + 11*w**2 - 2 + 6*w.\nAnswer: 82*w**2 - 3*w - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -68, -7298 in ascending order.\nAnswer: -7298, -68, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 0.18 (b) -3\/7 (c) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(336)\/(sqrt(24)\/(sqrt(4)*2)))\/((sqrt(288) - (sqrt(288) - -3*sqrt(288)))*-4).\nAnswer: sqrt(7)\/36","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -1322, -5268, -11844, -21050, -32886, -47352?\n\"Answer: -1315*w**2 - w - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = -4*u**2 + 512529*u - 1537589. Calculate d(3).\nAnswer: -38","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) be the third derivative of -h**5\/20 - h**4\/12 - h**3 + 29*h**2 + 2*h. Let o(z) = -4*z**2 - 2*z - 7. Give 5*m(i) - 4*o(i).\nAnswer: i**2 - 2*i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (0 + 1 - 5\/(-2))*336*523\/1757280.\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 639 minutes after 4:12 PM?\nAnswer: 2:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 9467359, 18934717, 28402075, 37869433, 47336791, 56804149?\n\"Answer: 9467358*g + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0\/(-4) + (-35)\/(-30)?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - v - 50 = 0, -3*v + 42 = 2*l - 6. Let i = l + -13. Solve -i*c + 0*c = -5*j - 20, -3*c + 18 = 3*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -f + 14. Let n be b(9). Suppose 2*y + 5 = -9. Let g = y + n. Let z(o) = 4*o + 1. Let h(m) = 2*m. What is g*z(w) + 5*h(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 47\/158180 and 23\/21570?\nAnswer: 474540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = q**2 + 10*q + 27. Let d = -2563 - -2557. Calculate h(d).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2f4db (base 16) to base 12.\nAnswer: 94163","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let m = -3.2 + -0.8. Let u = 5.3 + -5.7. Let p = 0.023 + 2.977. Which is the second biggest value? (a) -2\/3 (b) u (c) p (d) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 294.5232 months to decades.\nAnswer: 2.45436","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -10 + 0 + (-6 - 7 - -19)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 90*p**2 - 27*p + 27. Let o(g) = 14*g**2 + 2 - 20*g**2 - 2*g + 13*g**2. Give 2*l(n) - 27*o(n).\nAnswer: -9*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1\/2 or 49\/6?\nAnswer: 49\/6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*(sqrt(2) + sqrt(2) + 1 + sqrt(2))**2 + (sqrt(98) + 0 + sqrt(98))**2 + sqrt(2).\nAnswer: 31*sqrt(2) + 487","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 2*u + 615151 = 0, 41 = -4*u + 33. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2 - -8) + -6 - -1\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -12 + (-11543)\/(-952) - (674\/16 - (-1 + 0)).\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*z - 8*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(135)*-1)\/(sqrt(72)\/sqrt(6)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = -6*u**2. Let w(v) = 3*v + 2. Let x(z) = -12*z - 9. Suppose 0 = -3*m - 2*i - 8, -3*i + i = -m. Let o(p) = m*x(p) - 9*w(p). Calculate o(r(k)).\nAnswer: 18*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 3619 + -14405\/4. Calculate the common denominator of i and (-1)\/(-21)*3 - (-3980)\/168.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 453\/7*y - 33*y**2 + 3\/7*y**3 - 225\/7.\nAnswer: 3*(y - 75)*(y - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z - 60 = -z. Suppose 3*r = 5*t - 2, 4*r - 4 = 2*t - 2. Let p be 1 + t - (-3 - 25). What is the greatest common factor of p and z?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:16 AM and 11:59 AM?\nAnswer: 463","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*x + 160 = 59*x, -7*x = -87*d + 41*d + 45*d + 228 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f + 2*f - 132 = -4*m, 2*m = f - 39. Let s = 37 - f. Let i(c) = 0*c**2 - 7*c + 4 - 2*c**s + 5*c**3 - 6*c**3 - 6*c**2. Calculate i(-7).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-3 - (-8)\/2)\/((-2)\/(-22)). Suppose 3*q = j - 8. Which is bigger: 3\/16 or q?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 383 + -283. Does 3 divide y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 823401188.\nAnswer: 2, 17, 151, 80191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000417434 rounded to 6 dps?\nAnswer: -0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 40257 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*k = -19*k - 511 for k.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -k**3 + 3*k**2 + 3*k - 5. Let z be a(3). Suppose 0*s - 2212 = -z*s. Is s a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*g - 5*j + 20 = 0, -603 = -5*g + 3*j - 607 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let o(p) = -4*p**3 + 3*p**2 + 7*p - 4. Let m(c) = -6*c**3 + 5*c**2 + 11*c - 6. Give 5*m(q) - 8*o(q).\nAnswer: 2*q**3 + q**2 - q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 6090757?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) = 4*g**2 - 3*g - 7. Let d be (-4)\/((-5)\/((-35)\/2)). Let s(a) = a**2 - a + 7. Let y(p) = 9. Let m(c) = -s(c) + y(c). What is d*m(r) - 4*o(r)?\nAnswer: -2*r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 295 is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-22 + 21)\/(2 - 14\/6). Suppose 0 = -m*t - 3*t + 684. Let z = 199 - t. Does 17 divide z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 31815 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be ((-4)\/12 + 12\/(-18))*2. Let n(s) = s**3 + 4*s**2 + 3*s + 1. What is n(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 21, 0, 93, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -107 - -198. Calculate the remainder when j is divided by 23.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -568 divided by -142?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -8209.\nAnswer: 4\/8209","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -116 + 56 = 12*a for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 5 divide 16042?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1\/4, 5\/3, 1, 290, -0.1, 4, -11?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 5*p = 4*f - 72, -f + 22 = 3*p. Let g(x) = -x**3 + 16*x**2 + 2*x - 33. Let c be g(f). Let d be (-2)\/(-4)*0\/1. Sort c, d, -2 in ascending order.\nAnswer: -2, c, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -161, -321, -481, -641, -801?\nAnswer: -961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.003 - 0.497. Let t = -3.4 - -3. Let p = 3.3 - 3. What is the third smallest value in t, p, j?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 38654399?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 164 - 2 = 3*z + p, -2*p = -3*z + 162. Calculate the least common multiple of 10 and z.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-8)\/(-18))\/(18\/(-81)) + 4. Solve -i*g = 264 - 254 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1875 + -1870. Suppose 5*q = 1 + 44. Let y(g) = 4*g + 4. Let p be y(q). What is the greatest common factor of m and p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -212*r = 295 + 342 - 1 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -808, -2, 4, 5 in descending order.\nAnswer: 5, 4, -2, -5, -808","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 22, 28, 36, 46?\n\"Answer: z**2 + 3*z + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the second derivative of j**3\/6 + j. Let s(m) = -m. Let f(h) = -h. Let p(l) = 4*f(l) - 5*s(l). Determine p(v(k)).\nAnswer: k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 201459?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(2*j**2 + j**2 - 5*j**2) - 2*j**2 + 2*j - 2*j + 319*j**2 + 109*j**2 + 131*j**2.\nAnswer: 555*j**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8357?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n - 16 = -5*q, 8*n + q = 3*n + 8. Let t be (n*-2)\/((-5)\/10). Solve 8 + 4 = -t*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (135\/(-3))\/3*(-13)\/(1625\/(-25))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -746282.027 - 3?\nAnswer: -746285.027","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 o when two letters picked without replacement from {o: 6}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (3*(-4)\/96)\/(-95 - -94). Put 68\/5, 6\/11, g in increasing order.\nAnswer: g, 6\/11, 68\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-2*i**2 + 3*i**2 - 2*i**2)*((-9*i - 6*i + 7*i)*(1 - 2 + 3) - 9 - 4 + 12 - 128*i) to n*i**3 + z*i**2 + j*i + x and give n.\nAnswer: 144","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Does 1144 divide 1993069936?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2042\/23101 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put -38, -755, 51, -2, -1 in decreasing order.\nAnswer: 51, -1, -2, -38, -755","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Sort 8, -0.9, -0.109.\nAnswer: -0.9, -0.109, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86753572?\nAnswer: 2, 21688393","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 59, 2\/5, -2\/3, 0, 1 in ascending order.\nAnswer: -2\/3, 0, 2\/5, 1, 59","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 + 15*m - 8. Let l be x(-11). Let u = l + 73. Suppose u*h - 17*h = 300. What is the tens digit of h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4609 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 2434530.437 rounded to the nearest ten thousand?\nAnswer: 2430000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0000394028924 rounded to 6 decimal places?\nAnswer: 0.000039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 0, -557, 5, -5, 12 in descending order.\nAnswer: 12, 5, 0, -1, -5, -557","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*q**4 + 156*q**3 + 2241*q**2 + 7188*q + 6612.\nAnswer: 3*(q + 2)**2*(q + 19)*(q + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -2*j. Let b(w) = 16*w + 3277. Determine b(t(z)).\nAnswer: -32*z + 3277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = -1 - 7 + 3 - 14 - 3*j. Suppose -3*w = -3*g - 9, -2*g - w + 35 = -7*g. Let l be b(g). Sort l, 0, -12.\nAnswer: -12, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27403 + 27403 - 11*r + 9*r.\nAnswer: -2*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = l**3 + 5*l**2 + 2*l - 4. Let r be m(-4). Suppose 11 = 11*b - 44. Suppose -5*s - b*s = 0. Solve s = c - r*u - 11, 0*c - 8 = 4*c - 3*u for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3413 + -3413.000666. What is w rounded to five dps?\nAnswer: -0.00067","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -3253, -2, 4 in descending order.\nAnswer: 5, 4, -2, -3253","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -30, -3, 2, -0.119 in decreasing order.\nAnswer: 2, -0.119, -3, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve v + 5 = -3*r, 10*r - 4*v + 14 = 5*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 114271?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 - 1 - 6)*(-18*i - 19*i - 17*i)*(-i**4 - 1 + 1).\nAnswer: -594*i**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -3\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -75 + 79 - (2 - 1) - (8 + -1).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.4 + -2.4. Let d = -1\/2 + 1\/4. What is the third smallest value in 4, z, d?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 0, -5, 0.17, 5, 4?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 283 - 281. Let q(z) = 1081*z**3 - 3*z**2 + 5. Is q(l) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-274*i**2 - 133*i**2 + 162*i**2)*(3 - 3 - i).\nAnswer: 245*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1354544 (base 6) in base 8?\nAnswer: 227340","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:41 AM and 7:38 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 16543*o**3 - 4043*o**3 - 4151*o**3 - 4166*o**3 - 4140*o**3.\nAnswer: 43*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Do 365637 and 365637 have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 25*p**2 - 122*p - 1. Determine j(4).\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2329c0 + 14c?\nAnswer: -232871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -4*x + 4*u, 0 = x + 3*u - 0*u + 4. Let c = 17 + x. Is c a multiple of 4?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/27, -286, 0, 2 in descending order.\nAnswer: 2, 0, -4\/27, -286","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-22)\/(-30) - 1\/3. Let l be (-46)\/(-210) + (-2)\/7. Let g = l + w. Which is smaller: g or -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*n + 2766 - 1698 = 1608 for n.\nAnswer: 27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 3, 80, 23844, 0 in descending order.\nAnswer: 23844, 80, 3, 0, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**3 + 11*i**2 - 4*i + 2. Let u be (2\/(-9))\/1 + (-2626)\/(-234). Suppose -34*t = -33*t + u. Does 8 divide g(t)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 8 (b) 81 (c) -2\/195\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (720\/117 - 5) + (-1 - 0). Let y = -19.7 - -20. Let n = -0.3 + y. What is the second smallest value in -3\/4, 0.1, z, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 51 and 7652618?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 24816615*u + 2628 = 24816688*u for u.\nAnswer: 36","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3208440?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 169 divided by -32\nAnswer: -169\/32","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.8002968cm in nanometers?\nAnswer: 8002968","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 141, 140, 137, 132, 125?\n\"Answer: -v**2 + 2*v + 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3154 and 3818?\nAnswer: 72542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 491 + -489 + (9 - 7). Factor 83521\/4 + 4913*d + 17*d**3 + 867\/2*d**2 + 1\/4*d**m.\nAnswer: (d + 17)**4\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 77 + 469. Suppose -11*u + y - 128 = 0. Is u a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39279 - 31890 = -21*w. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -167 at most -105?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -51 - -58. Suppose m*x - 15 = 27. Calculate the greatest common divisor of x and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 55100 + 25*j - 55100.\nAnswer: 25*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -13*x - 142. Let p(v) = 40*v + 425. Let q(b) = 6*p(b) + 17*r(b). Let f be q(-7). Suppose 0 = d - 1 - 2. Solve i - d = -0*i + 4*s, 3 = -f*s for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p + 4*p + 3 = 0. Let a be (-10)\/3*(-6)\/5. Let f = 41.385 - 41.585. What is the smallest value in 3\/5, f, a, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0017783 rounded to 4 decimal places?\nAnswer: 0.0018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1778 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -376181*n + 376186*n + 2*y - 313, -n = y - 62 for n.\nAnswer: 63","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -879\/25 - -2687\/75. Which is the second smallest value? (a) -1\/192 (b) -5 (c) k (d) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -256, -1086, -2474, -4420, -6924, -9986?\n\"Answer: -279*k**2 + 7*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 2 - 5)*(-1 + 2 + 2)*(88 - 34*y - 70*y + 13*y + 43).\nAnswer: 546*y - 786","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/((-759)\/(-381) + -2) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*f**4\/7 + 10266*f**3\/7 - 66586*f**2\/7 + 66540*f\/7 + 51200\/7 = 0. Calculate f.\nAnswer: -1\/2, 2, 5, 2560","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/2 in 5, -72\/5, 1\/4, -68?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 22.89 - 23. Round t to two decimal places.\nAnswer: -0.11","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -57865 = -5*z - 4*b - 7026, 20350 = 2*z - 2*b. Let n = z + -5624. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -2*x + 18. Calculate the remainder when 2\/14 - 480\/(-21) is divided by x.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 122 + -119. Let c(l) = 5*l - 17*l - l**b - 7*l**2 - 10 + 2*l + 7*l. Calculate c(-7).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1007*w + 1082*w - 135375 = 0. Calculate the remainder when w is divided by 6.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose v = u + 5, -3*u = v + v - 15. Let m(w) = 8*w - 52. Let r be m(7). Suppose 20 = -r*k + 32. What is the least common multiple of v and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 3, 4\/9, 0.3, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(sqrt(117) + 4*sqrt(117)*-5 + sqrt(117)))\/((sqrt(72)\/sqrt(4))\/sqrt(2) + -1*(sqrt(9) - sqrt(81))).\nAnswer: -12*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 6*h - h - 3*h + (2 + 4 - 5 + (6 - 6 - 4)*(3 - 4 - 1))*(-6*h + 2*h + h) + (3 + 1 - 3)*(13*h + 21 - 41*h + 29*h).\nAnswer: -24*h + 21","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 403 a factor of 539214?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = -o**3 - 14*o**2 - 11*o - 25. Calculate d(-12).\nAnswer: -181","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 4, m: 2, k: 3, h: 3, o: 1, b: 3}. What is prob of sequence oh?\nAnswer: 1\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -2*i + 10. Let s be r(-5). Suppose -2*x + 5*a + s = x, -a = 3*x + 4. Is 0 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 14 (b) -42 (c) 2 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 6*k = -10. Suppose -j - 4*d = 22, -4*j - 3*d - 35 = 40. Let a = 20 + j. Solve k = -3*z + a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(192)\/(sqrt(24)\/sqrt(2)) + -1*sqrt(64))\/(sqrt(20)\/(sqrt(10) + sqrt(90)) - sqrt(50)*-4))**2.\nAnswer: 128\/6561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1.24 + -1.23882. What is s rounded to four dps?\nAnswer: 0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 49483 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = i - 2*b + 7769290, -5*i - b - 9711616 = 0. Let d = 2957677 - i. What is d rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-5 - -11)\/(3\/(-16)). Let w = g + 23. Let o = w + 28. Is 10 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 450.5033316 + -450.5. Let q = f + -6.0025516. Let i = 6 + q. Round i to four dps.\nAnswer: 0.0008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6844\/(-137344) + ((-1)\/(-32))\/(-1)?\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 37001 (base 11) in base 15?\nAnswer: 10b96","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Add 2925.48 and -1001351014.\nAnswer: -1001348088.52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 17 - 10. Suppose 3*p = -5 + 8. What is the derivative of -a*v**3 - p - 1 + 4 wrt v?\nAnswer: -21*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2349.\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 72 + 5?\nAnswer: 77","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - ((-7 - 29) + 10 - -15).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 129 - 80. Suppose 3*b = -0*t - 3*t + 66, -5*t + 2*b + 75 = 0. What is the remainder when f is divided by t?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 7 + 9 = 0. Find the second derivative of c - 4*c**a + 25*c**3 + 8*c - 25*c**3 wrt c.\nAnswer: -48*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 2*p**2 + 15*p + 74. Is r(-10) a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 54330396 a multiple of 146?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 59 + -57. Let u be (2\/10)\/(o*(-58)\/10). Is 1 greater than or equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qqg when three letters picked without replacement from {q: 3, g: 7}?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(6\/7)\/p**(-11))**9 assuming p is positive.\nAnswer: p**(747\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the second derivative of -1096*d**4\/3 - d**3\/6 + 7743*d. Let k(s) = -2*s. Determine x(k(a)).\nAnswer: -17536*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(24)\/sqrt(2)*3)**2 + (sqrt(36)\/(sqrt(12)*2 + sqrt(12)) - ((sqrt(108) - (sqrt(108) + 0 + sqrt(108))) + sqrt(108)))**2.\nAnswer: 325\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.3 + -0.6. Let g = -1 + 1. What is the third biggest value in -4, c, g?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 559117189 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6511 - 6511 + 2*q**3.\nAnswer: 2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 47254908 times 5?\nAnswer: 236274540","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 80 and 20.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g + 7 = 4*n - n, n - 17 = -4*g. What is the least common multiple of 18 and (g + -1 - -15)\/1?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -53 - -106. What are the prime factors of z?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*v - 0*v + 20. Find n, given that 3*n**2 + 2*n - v*n**2 - 5*n**2 = 0.\nAnswer: 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 6*w = 2*w + 231, -2*a - 4*w = -150. List the prime factors of a*(-2 - (-28)\/12).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 37 a factor of 1893760?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (-60 + 27 - (-37 - 82)) + 13\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -353351 - 7343872. Let z = v - -3897223. Round z to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) be the second derivative of -1097*l**3\/6 - 2992*l. Let i(r) = r**2. Give j(i(u)).\nAnswer: -1097*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -310 + 3198*u**4 + 2*u - 12*u**2 - 24*u**2 + 37*u**2 + 200*u**4 wrt u.\nAnswer: 40776*u**2 + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6399 - -3249. Round k to the nearest one hundred.\nAnswer: -3200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -177*a**3*f**2 + 3*a**3*f - 439*a*f**2 - 2*f wrt a.\nAnswer: -1062*a*f**2 + 18*a*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -23338.\nAnswer: -2\/11669","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**0)**(-1\/8))**(-19)\/((j\/(j\/((j\/(j\/(j**(2\/7)\/j*j))*j*j)\/j)))**(4\/13)\/(j**(-1\/4))**(1\/42)) assuming j is positive.\nAnswer: j**(-877\/2184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -4187 - -1?\nAnswer: -4186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 2, e: 6}. What is prob of sequence eaa?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-9)\/(-15)*(-4)\/6.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1960553603?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from toottttttbtba. What is prob of sequence bbto?\nAnswer: 4\/2145","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 336018154.\nAnswer: 2, 19, 233, 37951","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (1 + 0 - 3)*(3*q - 4*q - q) - 36*q - 7*q - 22*q + (-7 + 1 - 18)*(-2*q + 3*q - 2*q) to x + d*q and give d.\nAnswer: -37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2bc99a - 3?\nAnswer: 2bc997","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) be the first derivative of 2627*g**3\/3 + 3*g**2\/2 + 38*g + 366. What is the second derivative of f(i) wrt i?\nAnswer: 5254","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -2 + 191939?\nAnswer: 191937","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand -21*t**5 - 7*t**5 - 9*t**5 + (-4 + 2 + 3)*(-2*t + 2*t - t**5) + t**5 - t**5 + 2*t**5.\nAnswer: -36*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w - 6*w + 2*w)*(w - w - 3*w) + 2*w**2 + w**2 - w**2 + (-w**2 + 2 - 2)*(-2 + 0 + 1).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -3*g**3 + 26*g**2 + 8*g + 8. Give k(9).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1232.589 millilitres in litres?\nAnswer: 1.232589","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-65)\/(-7) - 12\/42. Which is smaller: o or 10?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -57 + 6*u - 170*u - 370*u + 57 as a*u + h and give a.\nAnswer: -534","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h - 4 = -4*m + 29, 3*m - 18 = -3*h. Let i(j) = 8*j + 4. Is 8 a factor of i(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -648*w + 7692. Determine i(12).\nAnswer: -84","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1.758 + 1.76. Let z = 2.998 + n. Let l = 4.7 - 5. Which is the second biggest value? (a) 0.4 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1241.\nAnswer: 17, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Express -19 + 21 - 327*k + 774*k + 832*k as r + o*k and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -22313\/11? (a) -1\/3 (b) -0.3 (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(153)*4 - sqrt(153))*-1*6)\/((4*sqrt(441)\/sqrt(7))\/sqrt(7)))**2.\nAnswer: 1377\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i = 5*b - 0*b + 21, 7 = i + 4*b. Let m(f) = f - 5. Let k be m(i). What is the common denominator of 73\/4 and -1 + (-21)\/66*k?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -31 - -30.7. Let r = -17.25 + 16.95. Let g = 14 - 9. Which is the nearest to i? (a) 0.11 (b) g (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in 5\/4 of a tonne?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, c: 1, r: 1}. Give prob of picking 1 c and 1 r.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 2*g**3 + 5*g**2 + 10*g - 10. Let b be k(7). Let i = b + -575. Is 33 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -2 + 3. Let t(b) = 3*b**3 - q - 2*b**3 - 2*b**3. What is the units digit of t(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20 a factor of 14949?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-104)\/18 - (40\/(-18))\/(-10). Let m be (3 + 16\/w)\/(4\/(-6)). Sort 4\/7, 2, m in decreasing order.\nAnswer: 2, 4\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 12132172?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*f - 25, f + 734 - 2659 = 5*m. Let v = -162 - m. Suppose -13*i + 17*i - v = 0. Does 14 divide i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 6\/638872399 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(34)\/((sqrt(10) + sqrt(40))\/sqrt(5)).\nAnswer: sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -84200 divided by 100.\nAnswer: -842","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many hours are there in 260239.86 minutes?\nAnswer: 4337.331","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v - 3. Let i be t(4). Suppose -4*c + 5*g = -31, -337 = -23*c - 20*g + 17*g. Calculate the least common multiple of c and (i - -3)\/((-2)\/(-11)).\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 1.1, 2\/9, 1, -3\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = 34*y**3 + y**2 - 16*y + 32. Determine c(2).\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 501 minutes before 3:15 PM?\nAnswer: 6:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 227316306 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 7 (base 12) in base 16?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -2*h - 2. Let m be u(-2). Suppose 40 = m*v + 2*v. Calculate the remainder when 29 is divided by v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 136115599 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -16820564549 minus -73.1?\nAnswer: -16820564475.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -16663331*c*u**3 - 2*c*u**2 - 1913*c*u - 3*c - 2*u**2 - 29*u wrt u.\nAnswer: -99979986*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1700 + -1400 - (-1)\/(1\/(-10)). Solve -x + o - 298 = 0 for x.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -473*d**5 - d + 88.\nAnswer: -9460*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (5 - 3 - 7) + 6. Let w be 4\/(-5) + 2\/2. Which is smaller: w or z?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.5 + 7.5. Let k = 5 - r. Which is the nearest to 2\/3? (a) -2 (b) 0 (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.102341079 and -0.121?\nAnswer: 0.223341079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify m**17*(m*m**18)\/m assuming m is positive.\nAnswer: m**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: (6\/1)\/(4\/2)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*v + 5*o = 9, v + o - 217 = -215 for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -6382, -6380, -6250, -5932, -5366, -4492, -3250?\n\"Answer: 10*o**3 + 4*o**2 - 80*o - 6316","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**1*j**(-10)\/j*j\/j**(-1\/4)*j*j**6*j assuming j is positive.\nAnswer: j**(-3\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -11 - -14. Let b(k) = 5*k + 3. Let g(r) = 10*r + 6. Let z(h) = p*g(h) - 5*b(h). Differentiate z(v) with respect to v.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -306, 2, -0.2, -2 in increasing order.\nAnswer: -306, -2, -0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 3\/25 of a gram?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/17, -2, 3\/4, -3\/4, -3\/7 in descending order.\nAnswer: 3\/4, -2\/17, -3\/7, -3\/4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a = -5*q - 0*q + 83, 2*a - 5*q = -39. Let r(p) = -3*p**3 - 39*p**2 + 2*p + 22. Let s be r(-13). Put s, a, 1 in decreasing order.\nAnswer: 1, s, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(b) = -39*b + 17. Let v be t(-12). Suppose -l - 4*i + 174 = -65, i - v = -2*l. Calculate the highest common factor of 27 and l.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.19176 plus -700?\nAnswer: -700.19176","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(-40))\/((-84)\/980).\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1620456543 to the nearest integer?\nAnswer: 1175","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q = 3*b + 2*b - 45, 2*q + 2*b - 36 = 0. Suppose 4*h - 2*y - 26 = 0, 3*h + y = 2 + q. What is the lowest common multiple of 16 and h?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(d) = -133*d**2 + 4926*d + 4858. Calculate i(38).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:39 AM and 10:25 AM?\nAnswer: 406","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 33701 and 201?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -556 + 560. What is the second biggest value in 63, i, 3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16 or 17?\nAnswer: 16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*sqrt(147)*2 + -1 + sqrt(147) + 0 - (-1 + -2 + sqrt(147) + sqrt(147) - -5*(-2 + sqrt(147))))**2*1.\nAnswer: 1008*sqrt(3) + 5436","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x = -0*x + 3. Let l = 37 - 33. Put 1, x, l in ascending order.\nAnswer: 1, x, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1249681.\nAnswer: 1249681","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.1 (b) 0 (c) -5 (d) 46\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**2\/3 + 90*g + 560\/3.\nAnswer: -5*(g - 56)*(g + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 99 times -3800?\nAnswer: -376200","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = -42 - 1326. Let u(x) = t*x - 1 - 457*x - 7. Let b be -3 - 9\/12*4. Calculate u(b).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 246.9 - 251. Is i equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 46 and 88412?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (2\/(-4))\/(42\/36). Let i = -0.737 + 1.037. Let a = -281\/910 - -3\/130. What is the closest to a in z, i, -1?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 45712.26 seconds?\nAnswer: 45712260","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -2367 + 2376 - (-76 + -4 + 9)?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*w = -5*m - 6*w + 10, 25 = 2*m + 5*w. Suppose 37 = m*j + 4*o, -3*j - 5*o = -0*o - 30. Solve 5*v = -j*v + 50 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -8*t**2 - 3. Let v(a) be the second derivative of -95*a**4\/12 - 35*a**2\/2 + 18*a. Let b(y) = 35*u(y) - 3*v(y). Let q(d) = -3*d. Calculate b(q(z)).\nAnswer: 45*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-99)\/(-22)*(-4)\/(-9). Suppose -2\/9*q - 2\/9*q**t + 0 = 0. What is q?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 1\/1 + (-26 - -37). Let t be (-4)\/w - (-35)\/15. Solve t*h = h + 1 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes after 8:06 AM?\nAnswer: 11:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 18707977 to the nearest integer?\nAnswer: 4325","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012374577 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*z + 115 + 101 = 0. Suppose k + 9*y - 1924 = 10*y, -4*y = z. Is k a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((1 + sqrt(612))*3)**2.\nAnswer: 108*sqrt(17) + 5517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -2*v**2 + 3*v - 3. Let k be c(2). Let o(w) = w**2 + 4*w + 6. Let h be o(k). Suppose -h = 2*z - 63. List the prime factors of z.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -5*g - 24, -2*g - q + 5 = 8. Let u(i) = i + 4. Let h be u(-3). Let k be (g\/(-2))\/(h\/20). What is the highest common divisor of 10 and k?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (3\/22)\/(283\/566).\nAnswer: 3\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 55*h + 14*h**2 - 77 + 55*h - 2*h**3 + 2*h**4 - 108*h - 14*h**2 + 7*h**2 to the form m + d*h**3 + c*h**2 + w*h**4 + i*h and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is (68\/11152)\/((20\/32)\/5)?\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be -7 - 19\/(133\/(-42)) - -5. Which is the closest to 0.6? (a) 1\/15 (b) 1\/4 (c) -3 (d) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -111001 (base 2) to base 6\nAnswer: -133","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, -2\/13, -1\/2, -30, 2\/9 in decreasing order.\nAnswer: 2\/9, -2\/13, -2\/9, -1\/2, -30","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 10 - 8*s)*(-1 - 5 - 13)*(-1 + 1 + 11*s**2).\nAnswer: 1672*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = 43*a - 60. Let g be t(11). Let b = g + -388. Calculate the remainder when 97 is divided by b.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 - (-7 + (9 - -3)) - 12\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1911)*2 - sqrt(39) - sqrt(429)\/(sqrt(22)\/sqrt(2)))*-3)\/((2*sqrt(27) - sqrt(300)*2)*2) + 1.\nAnswer: 1 + 9*sqrt(13)\/7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -831150.98 + 831059.6578175. Let t = -90.0222 - d. Let y = t - 1.3. Round y to 6 dps.\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 341 minutes before 8:57 PM?\nAnswer: 3:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(1\/5)*i)\/((i\/(i*i**4*i))\/i)*(i*i**(-1\/4))**(-1\/65)*(i**(-1\/3))**(-36)*(i*i**(-3\/2))\/i*i*i**(-2) assuming i is positive.\nAnswer: i**(4339\/260)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13285 + -13281. Solve -12 = 3*b, 3*b = -4*i + v - 8 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 20684896.4 to the nearest ten thousand.\nAnswer: 20680000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 213, 158, 101, 42?\n\"Answer: -g**2 - 52*g + 266","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(q) = -q**3. Let s(k) = 2*k**3 + 3*k**2 - k - 1. Let n(b) = -3*g(b) - s(b). Let x be n(3). Factor 2*a**x - 4*a**4 + a**3 + a**3.\nAnswer: -2*a**3*(a - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide (-787650)\/(-51) - (-134)\/(-1139)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l - 2*l - 10 = 5*m, -2*m - 10 = 5*l. Let g = -3 - l. Let z = -0.1 + -0.1. Is g >= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1386678 divided by 462226.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = 39*y**2. Let r(x) = 3*x. What is r(h(d))?\nAnswer: 117*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*c + 36 = -c. Let j(i) = -i**3 + 5*i**2 + 7*i + 8. What is the tens digit of j(c)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12b0 + -5?\nAnswer: 12a7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 w and 1 g when two letters picked without replacement from ggggggggwggggggwggg?\nAnswer: 34\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let -3*n**5 - 9*n**4 + 18*n**3 + 24*n**2 = 0. What is n?\nAnswer: -4, -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2633, 7918, 13225, 18566, 23953, 29398?\nAnswer: 34913","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) -485 (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-40)\/6 + -14*(-4)\/16*2.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5 + (3 - 6) - -1352?\nAnswer: 2, 677","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4815049 is divided by 1605016.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -8610 + -2?\nAnswer: -8612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 14*(-5)\/12*2*(-54)\/252*-2\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*v + 4*k + 335 = 1411, -4*v - 4*k = 1108. Let o = 498 + v. Does 9 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118001 by 235.\nAnswer: 118001\/235","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence epp when three letters picked without replacement from {e: 9, p: 11}?\nAnswer: 11\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -78126, -624991, -2109342, -4999923, -9765478, -16874751, -26796486?\nAnswer: -39999427","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 32775 (base 9) to base 13\nAnswer: 9bb1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 5 and 4251110?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4 - 16*w**2 - 4 + 19*w**2.\nAnswer: 3*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-3 - 0) + 0 + 4 + 3. Let d be 7\/(-21)*9*-1. Solve x = -m*k - d*x - 32, 2*k + 11 = -x for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 10925 to the nearest integer?\nAnswer: 105","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/133 in 13.86, -4, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.8 + -0.5. Let r = 7.9 - 28.9. Let x = r - -20. What is the nearest to -1 in v, x, 1?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*x**2\/15 + 103234*x\/15 - 206444\/5 = 0. Calculate x.\nAnswer: 6, 51611","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -75*k**2 + 0 - 2 + 74*k**2 + 2.\nAnswer: -k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (0*i - 5*i + 4*i)*(2*i - i - 3*i) - 15*i**2 + 189*i - 189*i to u*i + m + c*i**2 and give c.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 91 + 315. Let y be (12\/16)\/(7 + 110\/k). Solve -c = -7*c - y for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -1100 + -403424?\nAnswer: -410024","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 22. Suppose 0*u - 4*u + 22 = 2*l, p*l - 33 = -2*u. Suppose -32*v = -27*v - 5. Calculate the smallest common multiple of l and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*b*h**5 + 639115*b*h**4 - 49*b*h - 1607*h**2 wrt h.\nAnswer: 120*b*h**2 + 15338760*b*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 3\/10 (b) -6\/25 (c) -5 (d) 0.2 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of 3*v**2 + 0*v**3 - 1\/20*v**5 + 0*v**4 + 0*v + 0. Let h(k) = -2*k**2. Calculate i(h(b)).\nAnswer: -12*b**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify k\/(k*k**7\/k)*k**(-7\/2)*k*((((k\/k**(1\/6))\/k)\/k)\/k)**12 assuming k is positive.\nAnswer: k**(-69\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -376 divided by -94.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, d: 3, c: 1, p: 2, w: 4}. Give prob of picking 1 p and 2 w.\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the first derivative of -s**3\/3 + 6*s**2 - 26*s + 297. Determine f(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*l - 588 = -48. Let b be (5\/6)\/((-15)\/l). Solve b*o = o - 8 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-4)\/18*(2046\/(-806))\/(-11).\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7368916016 and -0.3.\nAnswer: -7368916016.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -1 - 2 + 6 + 4 + q. Let h be y(-5). Suppose -h*v + 29 + 50 = i, 0 = -3*i - 2*v + 229. What is the remainder when i is divided by 26?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000000136398 to seven dps.\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -92903 (base 10) in base 14?\nAnswer: -25bdd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 5305200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Add together -3825 and 293.\nAnswer: -3532","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*h + 33 + 47. Let p be (-2)\/h - 28\/35. Let l = -59 + 59.1. Which is the fourth biggest value? (a) 0.2 (b) p (c) -0.1 (d) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 270019?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 237.3 and -354778.\nAnswer: -84188819.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 1764, 3530, 5296, 7062, 8828, 10594?\n\"Answer: 1766*h - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1420 is divided by 931?\nAnswer: 489","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*n + 59 = -2*w + 4*w - 140, -5*n + 5*w = 235 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-300)\/(-375))\/(-2*1\/(-1))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2 + 31*q**5 - 27*q**5 + 4 + (3*q**3 - 3*q**3 + 3*q**3)*(4*q + 2*q**2 - 4*q).\nAnswer: 10*q**5 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = 255*i**3 + i**2 - 7*i + 23. What is the units digit of m(2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 27 and 27?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f - 5 = 20. Let h(i) = 2*i - 14. Let u be h(5). Put u, 0, 14, f in decreasing order.\nAnswer: 14, 0, u, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*y = 7*g - 119972, -45*y + 42*y - 4*g + 119984 = 0. What is the tens digit of y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -21 + 9. Let z(d) = d + 1. Let y(t) = 14*t + 10. What is n*z(w) + y(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 63 and 63?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d and 1 g when three letters picked without replacement from bggggdlbdlb.\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (126\/280)\/(15\/(-25))*(-4876)\/69.\nAnswer: 53","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -333, -320, -307?\n\"Answer: 13*g - 346","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*z - 2*g = 7, -z - 2*g + 14 = 3*z for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 2\/(-4) - 58\/(-4). Let i = 3 + 2. Let h be (m\/i - 2)*-5. Let q(k) = k**3 + 4*k**2. Determine q(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b - 2*b + 9. Suppose -v = -b*t + 68, -6*v + 4 = -2*v. Let k = -17 + t. Let s(n) = -n**3 + 7*n**2 - 7*n - 2. What is s(k)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 170135362*t**3 - 197924786*t**2?\nAnswer: 1020812172","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**4\/4 - 8*x**3\/3 - 13*x**2\/2 + 15*x - 2. Is m(10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 47 = 5*r + y, 3*y - 3 + 6 = r. Let a = 20 + -21. Let l be (3 - a - 3) + -1 + r. Solve 0 = 4*u + l + 3 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of ((-3283)\/(-2548) + (-3)\/(-4))\/(-5) and 33\/56.\nAnswer: 3640","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1*-0.0790801\nAnswer: 0.0790801","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Divide 1052 by 2.\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*j + 10 = 7*j. Suppose 3*b - 2*b - 5 = 0. Suppose -j*o = -b*o + 9. What is the remainder when o is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 10514618087 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*u**4 - 20*u**3 - 16*u**2 - 4*u = 0. Calculate u.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -109*t - 2418 - 718 = -333*t for t.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -15.4172 + 4.4172. What is the biggest value in 31, o, -1\/4?\nAnswer: 31","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(sqrt(275) - (2 + sqrt(275) + sqrt(275)))**2*-6.\nAnswer: -10044 - 720*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 165408 is divided by 244.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5083951679 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10 + -5. Let j(m) be the second derivative of -m**4\/12 + 5*m**3\/6 + m**2\/2 - m. Give j(g).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*n = -114*n - 1809 for n.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 294*r - 263*r + 62 = 0 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 24 in 10, -2, 28?\nAnswer: 28","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = r - 4*b + 8, r = -0*b + 2*b - 2. Let s be (18\/21)\/(r\/140). Calculate the greatest common factor of s and 30.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 11 and 2629.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 10011111 + 10001100111110010011?\nAnswer: 10001101000000110010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(n) = -2*n**3 - 112*n**2 + 72. Let q be u(-56). What is q rounded to the nearest 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -5, -1\/380, -4\/9?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.0194003632 rounded to 1 decimal place?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -97.6137 or -34?\nAnswer: -34","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:09 AM and 12:52 PM?\nAnswer: 223","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -12, -14, -16?\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -9442, -5220, -998, 3224, 7446, 11668?\n\"Answer: 4222*k - 13664","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3 + -7 + 5 + -5.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = -l**3 - 16*l**2 + 15*l - 31. Let k be t(-17). Suppose 5*r + 2 = -p, -k*r + 2*r + p = 4. Which is the nearest to r? (a) 4 (b) 3 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + ((-5 + 1 + sqrt(931))*-1)**2.\nAnswer: -56*sqrt(19) + 945","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 7622239 and 119?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from dsddsdddddddsdd. Give prob of picking 3 d and 1 s.\nAnswer: 44\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.6, -4, 555 in decreasing order.\nAnswer: 555, 0.6, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) = -242*i**2 - 11*i + 899. Let v(x) = -121*x**2 - 5*x + 449. Let w(y) = 6*j(y) - 13*v(y). What is the derivative of w(p) wrt p?\nAnswer: 242*p - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 0, -1, 54, -4 in descending order.\nAnswer: 54, 1, 0, -1, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from ejddjgejdggejded. What is prob of sequence dgjd?\nAnswer: 1\/182","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = 145*f**2 - 221 + 433 - 157*f - 221. Let i(r) = 73*r**2 - 79*r - 4. Let l(m) = -9*i(m) + 4*y(m). What is the second derivative of l(w) wrt w?\nAnswer: -154","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -1.3, 1, 0.5?\nAnswer: -1.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**2\/4 + 40892980*j - 1672235813280400.\nAnswer: -(j - 81785960)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand -12*o**3 - 2 + 2*o**5 - 40*o + 40*o + (2*o**2 - 2*o**2 + 2*o**4)*(-o + 2*o - 2*o) + 92 + 89*o**5 - 92.\nAnswer: 89*o**5 - 12*o**3 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 64 is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 23*0.1\nAnswer: 2.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 2570, 2558, 2548, 2540, 2534?\n\"Answer: n**2 - 15*n + 2584","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) = 27293*g - 573161. What is p(21)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -41 - -11?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 28098540?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*h + 2*b = 22*h + 212, -2*b = 5*h + 509. Is -103 at most h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3 - (3\/(-15) + (-2)\/(-10)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (8\/((-2)\/1))\/(8878\/106536)?\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = -802*y**2. Let a(t) = -35*t**2. What is a(m(d))?\nAnswer: -22512140*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = l**2 + 73*l - 609. What is v(-77)?\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = 1477*p**2 + 5*p + 5. Let r(k) = -5169*k**2 - 18*k - 18. Calculate -18*b(v) - 5*r(v).\nAnswer: -741*v**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1733*p - 1197*p - 22244 = 32964 for p.\nAnswer: 103","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let r(y) = -y**2 - 9*y + 2. Let t(q) = q**2 + 15*q - 4. Let m(b) = 2*r(b) + 3*t(b). Determine m(-28).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n - 13 = 2*n - 4*y + y - 48, -4*n - 3*y - 50 = 0 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.047693 - 0.452307. Let z = 3 - 3.1. Put -4, z, -2, f in decreasing order.\nAnswer: z, f, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 54 + -38a?\nAnswer: -336","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -1789*n**2 + 3*n - 3. Let a(i) = 3563*i**2 - 7*i + 7. What is -3*a(r) - 7*d(r)?\nAnswer: 1834*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Round -282.58604 to 1 decimal place.\nAnswer: -282.6","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -2*c**2 + 16*c + 12. Suppose 5*i - 49 = -4. Let w be a(i). What is the least common multiple of w\/(-8)*12 - 1 and 3?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2 + (32 - 2) - (296 - 287)) + 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3\/(-2) + 11\/22. Is 3 a factor of -8*(q\/(-2))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6 - 6 + 10*j.\nAnswer: 10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 27 (b) 3 (c) 4 (d) -2 (e) -3.3 (f) 5 (g) -1.4\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.13, 1064, -2\/15?\nAnswer: 0.13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) be the second derivative of 5*a**4\/12 - 2*a**3\/3 - a**2\/2 + 10*a. What are the prime factors of r(2)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -22*r + 4. Let j(s) = -12*s + 2. Calculate -5*j(c) + 2*v(c).\nAnswer: 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4576380 (base 10) to base 5.\nAnswer: 2132421010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w = 4*z - 54, 0 = -z - 13537*w + 13538*w - 21. Factor -8\/5*i + 26\/15 - 2\/15*i**z.\nAnswer: -2*(i - 1)*(i + 13)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 n and 3 o when four letters picked without replacement from {d: 1, n: 4, c: 7, o: 3, k: 2}.\nAnswer: 1\/595","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 2*h + 68. Let l = h + 18. Is l prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tyyttty. Give prob of picking 2 t.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -16 + 8 + 9 - -17?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 + -5 + (1 - -8)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3898 is divided by 969.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of ((-180)\/(-24) - 7) + (-11355)\/(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1232913478?\nAnswer: 2, 571, 1079609","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 1095 and 765?\nAnswer: 55845","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2\/3? (a) -1\/5 (b) -63\/16 (c) -3 (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*c**2 - 10*c**2 + 55*c**2.\nAnswer: 16*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 24130.\nAnswer: 2, 5, 19, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -2 and -2310614?\nAnswer: 2310612","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2782 is divided by 345?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = -7 - 2*x**2 + 4*x**2 + 3 + 11 - 16*x. What is q(7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 117*k**3*p + 1259*k**3 - 941*k**2*p**2 + 6*k**2 with respect to p.\nAnswer: 117*k**3 - 1882*k**2*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Round 491.793 to the nearest integer.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {v: 2, t: 5, e: 2, s: 3, p: 6}. What is prob of picking 2 t and 2 e?\nAnswer: 1\/306","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -12741 - -12709. What is the third smallest value in -1\/4, 7\/10, l, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/6)\/(((-30)\/(-9))\/(-5))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 210 is divided by 66.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 116739 and 306.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/16 and 106\/10*10\/(-20).\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 greater than -2\/13296859?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes before 7:38 PM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = -2*m**3 + 7*m**2 - 5. What is z(3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2.2 - -2. Let l = o + 0.5. Let h = -5\/14 - -4\/21. Put -0.2, h, l in increasing order.\nAnswer: -0.2, h, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 153891?\nAnswer: 3, 17099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -65 = -8*s + 63. Let o be 4\/14 - (-372)\/21. Is s equal to o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = 3*d**2 + d + 1. Let x be b(-1). Suppose -8*s + 140 = -x*s. Is 9 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 5096, 10194, 15292, 20390, 25488?\n\"Answer: 5098*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 4, 0.4, 496\/9?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = -16*n**2 + 7*n. Suppose -333 = 48*h - 2157. Suppose 4*m = 2*x - 28, -5*x + 24*m = 22*m - h. Let p(l) = 5*l**2 - 2*l. What is x*s(g) + 21*p(g)?\nAnswer: 9*g**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -27 - 372*z + 130 - 28 - 27 - 38 + 373*z. Let x(w) = -w**3 + 4*w**2 + 4*w - 1. Let h be x(5). Give j(h).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -80*q - 50 + 210 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2755, 2745, 2735, 2725, 2715, 2705?\nAnswer: 2695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -1054807 - -5294019\/5. Let s = f - 4020. Which is smaller: -23 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(3\/8)\/p*(p**(2\/5)*p)\/p)**12)**(-6) assuming p is positive.\nAnswer: p**(81\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(k) = -k**3 - k**2 - 2*k. Suppose -6 = -0*q + 3*q. Let s be f(q). Let t = s - 6. Put 4, 0, t in increasing order.\nAnswer: 0, t, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -p - 9. Let x = 20 - 28. Determine v(x).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 102200 + -1?\nAnswer: 102133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 670 is divided by 45?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.382217 millennia to centuries.\nAnswer: 3.82217","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 0.25795 + 3\nAnswer: 3.25795","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1.9 - 2. Let k = 21 - 20.6. Let d = k + 0.1. What is the third smallest value in u, -1\/6, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 756, 760, 764, 768, 772?\nAnswer: 776","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve l = 0, 5*l + 15 - 10 = m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -3\/73 + -55\/438. Which is the closest to 2? (a) 0 (b) q (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1\/2 in -13, -0.3, 0.35, -2?\nAnswer: 0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*sqrt(10)\/sqrt(2)*-2.\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the first derivative of i**3 - i**2 - 14*i + 86. Let c(g) = -g**2 + g + 5. Calculate -8*c(h) - 3*d(h).\nAnswer: -h**2 - 2*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = 16*w**3 - 11*w**2 - 6*w + 81. Let c(p) = -3*p**3 + 2*p**2 + p - 16. Give 11*c(i) + 2*d(i).\nAnswer: -i**3 - i - 14","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 43274?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/338, -134, 9 in descending order.\nAnswer: 9, -5\/338, -134","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 2*f**3 - 4*f**2 + 2*f - 7. Let k be o(2). Let x = -29 - -50. Let p = x - 10. Which is the second smallest value? (a) k (b) -4 (c) -0.3 (d) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2. Let w(m) be the third derivative of -7*m**4\/6 - 63*m**2. Determine w(q(i)).\nAnswer: -28*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 62087.3 + -2822.6.\nAnswer: 59264.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6876041?\nAnswer: 17, 601, 673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.05 - 1.05. Let d = 430 - 435. Which is the closest to -1\/4? (a) d (b) -2 (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {a: 1, b: 2, s: 1, z: 1}. Give prob of sequence bsa.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -6*k**2 - 9*k. Let z(h) = -h**2 - h. Let c(d) = -u(d) + 9*z(d). Let j(a) = 2*a**2. Calculate j(c(m)).\nAnswer: 18*m**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 52164774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*i - 54 = -181*i + 365*i, -b + 3*i = 10 + 44 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - -2) + -9 + (14 - 15 - -4 - 26).\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = 2*w + 208. Determine p(39).\nAnswer: 286","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 70 is divided by 76*(20\/8 - 2) - 0.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 399 to the nearest 100.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) = 14981*c + 29717. Calculate x(-2).\nAnswer: -245","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20*a**4 - 29*a**4 - 12*a**4)*(0*a + 2*a + 6*a) + (2*a**2 - a**2 + 0*a**2)*(-2*a**3 + 0*a**3 + 4*a**3).\nAnswer: -166*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/((-28)\/(-231))*((-2)\/(-3))\/1?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 2 - 1)*(-1 - 3 + 3) + 42 - 16 + 26 - 3 + 1 + 1)*(703*b + 43*b + 83*b) in the form h + c*b and give c.\nAnswer: 43937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 5319958703 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(r) = 5*r**2 + 23*r + 61. Let a be d(-5). Calculate the greatest common divisor of a and 1420.\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -c**2 + 18*c + 23. Give r(19).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -35 + 38. Suppose j = 3*r + 105. Let c = r + 39. Let u(b) = -13*b + 5. Let t(y) = -6*y + 2. What is c*t(g) - 2*u(g)?\nAnswer: -4*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -57 in 2, 0.1586, 0.5, 3?\nAnswer: 0.1586","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*m + b - 5, 6*b - 8*b + 10 = -3*m for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:32 PM?\nAnswer: 136","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*j + 11 - 6. Let t = -0.05 + 1.05. Are t and j unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 185128481, 370256965, 555385447, 740513927, 925642405?\nAnswer: 1110770881","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -q + 9. Let k be x(7). Let p = k - 1. Which is the closest to -1? (a) p (b) 3\/2 (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*h + 193 - 109 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 180922 to the nearest integer?\nAnswer: 425","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4 - 4*k**4 + k**3 + k - 4 - 1 + 3 to the form g*k**3 + y*k + t*k**4 + f + m*k**2 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 3*q + 46 = 0, 34 = 2*d - 6*q + 4*q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 392226?\nAnswer: 2, 3, 65371","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 80*v + 2172. What is y(-27)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 9 in 4, 15074, 0.5, -4\/13?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q(c) = 2*c**2 - c + 2. Let l be q(1). Suppose 12 = 5*i - l*i. Calculate the lowest common multiple of i and 10.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (9\/(-540))\/((-58)\/1305). Does f = -1369?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(99) + 1)**2 + sqrt(99) + (sqrt(99)*-1 + sqrt(99))*2.\nAnswer: 15*sqrt(11) + 397","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96.1 - 101. Let l = 58.9 + r. Let p = 57 - l. Which is the third smallest value? (a) -0.4 (b) p (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -164*v**3 - 160*v**3 + 340*v**3.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 82394 is divided by 17.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 333154204.\nAnswer: 2, 29, 2872019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2894441844?\nAnswer: 2, 3, 7, 193, 178537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -13744, -13787, -13840, -13903, -13976, -14059?\n\"Answer: -5*r**2 - 28*r - 13711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 22253489?\nAnswer: 23, 43, 22501","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of -585, 1734, 4067, 6420, 8799?\n\"Answer: g**3 + g**2 + 2309*g - 2896","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -71 - -71. Solve 3*d + 4*q + 3 + 2 = l, -15 = -2*d + q for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -41 + 38. Let m = o + 2.7. Which is the third smallest value? (a) -4 (b) -2 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (56 - (71 - 4)) + (-1 - -16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 51, -857468, -2\/7, -3\/2 in descending order.\nAnswer: 51, -2\/7, -3\/2, -857468","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00780104 to 4 dps.\nAnswer: -0.0078","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 8*o + 8. Suppose -733 = -5*u + 1892. Let h(c) = -528 - 2*c + u - c. Determine 11*h(b) + 4*k(b).\nAnswer: -b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = -s**3 + 8*s**2 - 8*s + 19. Let k be i(7). Let y = k - 22. Calculate the remainder when y\/(-8)*(5 + -10 - -53) is divided by 16.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 12*w - 75. Let u be v(18). Suppose -21 + u = 4*x. Find the third derivative of -g**4 + 177*g**3 + 20*g**2 - 173*g**3 + x*g**2 wrt g.\nAnswer: -24*g + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8 - 404*q**3 - 122*q**2 + 4 + 124*q**2 + (-2*q**3 - 1 + 1)*(6 - 2 - 3).\nAnswer: -406*q**3 + 2*q**2 - 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (7 + -8)*2\/6*-3.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*d - 2991444 = -107*d + 267526. What is the tens digit of d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 20 - 11. Calculate the remainder when f is divided by 5.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 33.3 + -4.3. Let k = -29.5 + q. What is the second smallest value in -3, 3, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55584?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = 6*z**2 + 51*z + 18. Let m be j(-12). Solve -5*r - 245 = -m for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) be the second derivative of -33*c**5\/5 + 105*c**3\/2 + 184*c - 1. What is the second derivative of l(m) wrt m?\nAnswer: -792*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u - z + 170 = 0, z = 3*u - 5*u + 113. Let b be ((4*-10)\/4)\/((-6)\/u). Find the first derivative of -41 - b*f - 75*f + 200*f wrt f.\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = -2*m**3 + 16*m**2 - 13*m - 3. Let t be j(7). Solve -11*x + t*x = 28 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 34*b**2 - 5*b**2 - 132*b**2 + 73*b**2 + 29*b**2.\nAnswer: -b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3832*r**3 - 3*r**2 + 0*r**2 - 3838*r**3 + 3*r**2.\nAnswer: -6*r**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1110.2, 1\/826, -5?\nAnswer: 1\/826","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 1975 = 680. Suppose -r = 4*d - 11*d. Suppose 12*c**2 - 14*c**4 - 11*c**3 - 12*c**4 + d*c**3 + 34*c**4 - 6*c**5 = 0. Calculate c.\nAnswer: -1, -2\/3, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/599940 and -157\/553630.\nAnswer: 3019498020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is (-70)\/126*(36\/39)\/(2366\/2197)?\nAnswer: -10\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 5277753?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 2 - (-2)\/(-2 + 1). Let k be (l + 1 - -1)*-2. Let m(q) = q**2 + 1062*q + 2122. Let c be m(-2). Which is bigger: c or k?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -2*i + 2*k + 6, -3*i - 73 + 66 = 5*k for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Does 2 divide 129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by -1262972.\nAnswer: -1\/315743","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6547, -26187, -58907, -104695, -163539, -235427?\nAnswer: -320347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3866, -3, -2, 296 in descending order.\nAnswer: 296, -2, -3, -3866","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -1*(sqrt(1088) - -5*sqrt(1088)*-3)**2*3.\nAnswer: -639744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -875*w + 1748*w - 873*w - 591*w**3.\nAnswer: -591*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3022645541?\nAnswer: 3022645541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -710 + 711. Let y = 0 - -0.1. Which is the closest to y? (a) 0.4 (b) 2\/9 (c) g\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 21182563163 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277038549 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -2989 - -2997. Let i(b) be the first derivative of -14\/3*b**3 - 8*b + 0*b**2 + n. Differentiate i(j) with respect to j.\nAnswer: -28*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -10*u**3 - 4*u. Let m(l) = -19*l**3 + 2*l**2 - 10*l. Let x(n) = 5*b(n) - 2*m(n). Factor x(s).\nAnswer: -4*s**2*(3*s + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 l when two letters picked without replacement from pplacjla.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3 - 1. Let w be (-4)\/8 + 15\/y. Calculate the greatest common factor of w and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -9\/61201 and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 28503178.\nAnswer: 2, 11, 571, 2269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 115\/2926 and -25\/3864.\nAnswer: 807576","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*v**3 + v**3 + 3*v**3)*(2*v**2 - 5*v**2 + v**2 + (0*v - 3*v + v)*(-1 + 1 + 2*v) + 4*v**2 + 0*v**2 - 2*v**2).\nAnswer: 4*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 5866 or 5868?\nAnswer: 5868","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) be the first derivative of -q**2\/2 + q + 289. Let j be (1\/(-2))\/(2\/(-16)). Let s be i(j). Let l(f) = f - 2. Calculate l(s).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8211 + 8211 + 73*k**3 - 2*k**3 + 9*k**3 - 3*k**3 + (0*k + 0*k + 2*k**2)*(3 - k - 3).\nAnswer: 75*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(h) = -h**2 + 20745*h - 745516. Calculate l(36).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 2*g = -0*v - 14, -3*v + 10 = 2*g. Determine m so that 7*m + 594 + 30*m**4 - 290 - 5*m**3 - 2*m - 40*m**v - 294 = 0.\nAnswer: -1, -1\/2, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-60)\/(-100))\/(2\/(-5))\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 15.22 - 0.8.\nAnswer: 14.42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (b*b**(2\/5)*b*b)**27*(b**(-1)\/b*b)\/b**(-3) assuming b is positive.\nAnswer: b**(469\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -2*r**3 - r**2 - 6*r + 5. Let i be u(4). Suppose s - a + 187 + 51 = 0, -s = 2*a + 244. Let g = i - s. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) 2 (c) 7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Round 97870 to the nearest ten thousand.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**4 - 4*x**3 - 14*x**2 - 8*x.\nAnswer: 2*x*(x - 4)*(x + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(21)\/sqrt(3)*2 + 2 - ((sqrt(84) - -1*sqrt(84))\/sqrt(12) + (sqrt(35)\/(1*sqrt(5)))**2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i(o) be the second derivative of 5*o**7\/21 - 8*o**3\/3 - 17*o. Find the second derivative of i(z) wrt z.\nAnswer: 200*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) be the first derivative of k**2\/2 - 16*k - 2. Let b be m(8). Let n be (-4)\/b - (-22)\/(-4). Let z(r) = -r**2 - 5*r + 5. What is z(n)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -1 or 169570?\nAnswer: 169570","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {v: 4, g: 4, d: 5, n: 2, j: 1}. Give prob of sequence vj.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4398986?\nAnswer: 2, 43, 51151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) be the third derivative of -1\/210*o**7 + 0 - o + 0*o**4 - 1\/336*o**8 + 1\/120*o**6 - 66*o**2 + 1\/60*o**5 + 0*o**3. Factor s(p).\nAnswer: -p**2*(p - 1)*(p + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - 11121010001220?\nAnswer: -11121010001210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (((-1)\/(-3))\/(57\/513))\/6?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2943494 a multiple of 122?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1337201?\nAnswer: 19, 70379","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 15*y - 27*y + 11*y - 8. Let g be w(-6). Which is the nearest to g? (a) 4\/5 (b) -3 (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-8)\/(-12)*(-18)\/(-20)?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m - 1 = -4. Put 2, m, 5 in decreasing order.\nAnswer: 5, m, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5307 divided by 29.\nAnswer: -183","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let w(j) = 73*j - 18. Let b be (-4)\/(0 + 2 + -3) - -3. Let n(o) = -37*o + 9. Let v(r) = b*n(r) + 4*w(r). Is v(22) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 9\/70 and 127\/12784674.\nAnswer: 63923370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17010\/420*8\/18.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + 0 + 6 + 1 + -4?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w + 11. Let o be g(-8). Suppose 4*a = o*j - 0*a - 320, 2*j = -3*a + 202. Is 13 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -12 + 15. Let b be 2\/((-2)\/(-12)*j). What is the third derivative of z**3 + b*z**2 + 8*z**3 - 3*z**3 wrt z?\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -5, -1\/10, -1, -16246, 3 in decreasing order.\nAnswer: 3, -1\/10, -1, -5, -16246","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.366906602 to 3 decimal places.\nAnswer: -0.367","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h(g) = -5*g**2 + g - 183. Let w(f) = 9*f**2 - 2*f + 366. Let r(l) = -7*h(l) - 4*w(l). Let x be r(0). Round x to the nearest 10.\nAnswer: -180","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = 3*n. Let k(m) = 1976*m. What is k(y(r))?\nAnswer: 5928*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k**5 - 2*k**4 - k**3 + k**2 + k + 1. Let b(y) = -y**4 + y + 1. Let c be 5*(2 + 1 + -2). Suppose -c + 4 = -g. Let i(t) = g*j(t) - b(t). Factor i(w).\nAnswer: w**2*(w - 1)**2*(w + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-6)\/(-18)*-1*1\/3\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 40 and 1000.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 0 - 6\/(-3)*1. Let t be 1*2 - (-1 - -1). Find the third derivative of -o**2 - 3*o**t + d*o**3 + 2*o**2 wrt o.\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 226 divided by -4\nAnswer: -113\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -14508 by 21.\nAnswer: -4836\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*d + 8*v = 2727472 - 2727376, 0 = -3*d + 5*v - 60 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 1 - 7 + 2*f**3 + 49 to j*f**2 + m*f + c*f**3 + a and give c.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 9:52 PM?\nAnswer: 9:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 126055399 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*q + 28 = 38. Suppose c - 5 = -3. Suppose 2*o = -3*l + 2, -c*l + q = -4*o + 5. Solve 0 = -l*r + 4*r + 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -3.461 to 0 decimal places.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(q) = 3*q + 11. Let j(f) = -7*f**2. Determine j(i(v)).\nAnswer: -63*v**2 - 462*v - 847","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2618385, 2618384, 2618383, 2618382?\nAnswer: 2618381","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 4*z = -0*z - 12, z = -4*t - 17. What is the units digit of (0 - 6)*t\/4?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 c when four letters picked without replacement from ccqqcc.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 65 and 1278680.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.3, -1\/8, -5, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -110451\/94 - -1175. Calculate the common denominator of g and 81\/8.\nAnswer: 376","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5 = -3*j - 4. Let q be 1*j*(-1 - 0). Suppose -2*v + 230 = q*v. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: 385630 divided by -49\nAnswer: -7870","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25 + 13*h**2 + 11*h**2 + 25.\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-140))\/(3\/(-9))*188\/282?\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 36\/54*1\/(-7).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 201*u**5 + 65*u**5 + 22*u - 2 - 20*u wrt u.\nAnswer: 5320*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1396988.\nAnswer: 2, 29, 12043","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -157\/126810 and 49\/24.\nAnswer: 507240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -1. Let b = 3.72 - 4.1. Let y = -0.48 - b. Is i greater than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -10*v + 4*j + 60, 5*v - 16*j - 30 = -17*j for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i**5 - 149*i**4 + 1303*i**3 + 11953*i**2 + 19396*i + 8896 = 0 for i.\nAnswer: -4, -1, 16, 139","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 9\/6*(-3)\/((-9)\/(-134)). Let o = -27 - p. Calculate the highest common factor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -232, -450, -668, -886?\n\"Answer: -218*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4385, 5759, 8057, 11285, 15449?\nAnswer: 20555","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of (-7)\/(-2)*160820\/301?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 303853 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 11381 smaller than 489404\/43?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b\/(b**(2\/29)\/b))\/b)\/b*b\/(b**(-2\/53)\/b*b)*b*(b*b**(1\/15))**17 assuming b is positive.\nAnswer: b**(486509\/23055)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*p + 80 = 56*p. Let w = -117 + 118. Which is the nearest to w? (a) p (b) 0.5 (c) -2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -25 - -60. What is the remainder when o is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 5107, 5094, 5079, 5062, 5043, 5022?\nAnswer: 4999","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-12)\/28 + (-202)\/(-406). Let s = 3 + -2. Which is greater: h or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) be the first derivative of -3*c**2\/2 - c + 1291. Suppose -3*l - 18 = -3. Let u(i) = 3*i + 1. Give l*u(n) - 6*o(n).\nAnswer: 3*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Total of 16816.8186182 and -0.102.\nAnswer: 16816.7166182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 636 minutes before 6:20 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = 3*l**2 - 2. Let o(i) = 3*i**2 - 3. Let h(w) = -2*o(w) + 3*s(w). Let m(k) = -38*k + 75*k - 38*k. Give m(h(p)).\nAnswer: -3*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -394*z - 407*z = -781*z + 220 for z.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (v - v - 2*v)*(0*v + 3*v - v) - v + 2*v**2 - 5*v + v.\nAnswer: -2*v**2 - 5*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -1\/108369?\nAnswer: -1\/108369","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -4*r + p, 4*p = 3*r - 28 + 2. Find the third derivative of 13*j - j**6 - 58*j**2 + 57*j**r + 3*j**6 wrt j.\nAnswer: 240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -92 - (-52 - -8) - -28\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) = 21*w**2 - 5. Let t(g) = g**2 - 1. Let v(u) = s(u) - 5*t(u). Let l(k) = -5*k**2. Give l(v(c)).\nAnswer: -1280*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Round 2629940000 to the nearest 1000000.\nAnswer: 2630000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -69*i**3 + 17*i**2 - 9*i - 9. Let j(v) = 17*v**3 - 4*v**2 + 2*v + 2. Let d(b) = -2*c(b) - 9*j(b). Find the third derivative of d(t) wrt t.\nAnswer: -90","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 15289624 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert -64885 (base 10) to base 16.\nAnswer: -fd75","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d + d + 51 = 0. Let h = -56 - d. Let g = h - -95. What is the remainder when g is divided by 19?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes after 10:21 PM?\nAnswer: 2:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u - 2 = 3. Suppose b - 3*n = 2*b + 15, -23 = b + u*n. Let k = -2.6 + 3. Sort b, 1, k in decreasing order.\nAnswer: 1, k, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 3*u = 5 + 1, 3*k = -5*u + 14 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 486*c - 1 + 0 - 485*c + 1.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(20)\/sqrt(5) - sqrt(4))\/sqrt(2) - sqrt(22)\/(-3*sqrt(275) - sqrt(275)).\nAnswer: sqrt(2)\/20","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 g when four letters picked without replacement from {a: 1, g: 9, h: 3, v: 6}?\nAnswer: 21\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) be the second derivative of f**4\/6 + f**3\/6 - f**2 + f. Let i = 49 - 51. Let m be o(i). Solve 4 = m*v - 0*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4\/(-6) - ((-768)\/(-36) - 16)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 3 - 407259953408909\nAnswer: -407259953408906","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -2\/293695001?\nAnswer: -2\/293695001","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -321, -569, -817?\n\"Answer: -248*l - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2155.\nAnswer: 5, 431","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out 207.39 - 0.\nAnswer: 207.39","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 11 = -0*u + 2*u, -15 = -2*u - x. Let n(w) = w**2 + 9*w + 5. Let i be n(u). Is i\/((-2 - -4) + -1) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 6071122*p**2*y**3 - 2*p**2*y**2 - 3*p*y**3 - 475*p - 2*y**3 - 58*y**2 - 21 wrt p.\nAnswer: 12142244*y**3 - 4*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.8 - -3.8. Let b = o - -2. What is the third smallest value in b, -3, -2?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -108*d**3 + 2*d**2 - 192*d - 4. Let a(s) = -107*s**3 + 3*s**2 - 191*s - 6. Let t(v) = -2*a(v) + 3*c(v). Find the second derivative of t(p) wrt p.\nAnswer: -660*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -4*v - 1. Let t be k(-1). What is the derivative of 5 - 1 + a**t - 7 wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.927 and -7.6?\nAnswer: -7.0452","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 895543.58 - -48310764.42. Let p = 49206308.40000019 - t. Let h = 0.4 - p. What is h rounded to 7 dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4\/7, 0, 4566, -0.3, 267, 1.\nAnswer: -4\/7, -0.3, 0, 1, 267, 4566","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/4)\/((-4)\/8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 100.99834 - 101. Round a to 4 decimal places.\nAnswer: -0.0017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -31 - -18. Let x be (-1)\/(-4) - (-198)\/8. Let n = g + x. Solve h = 2*l + 3*h - n, -6 = -2*h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 35 = 8*r - 3*r. Let z(b) = 9*b + 9. What is the units digit of z(r)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4311 = q - 2*z, -4*q - 16*z + 17*z = -17230. What are the prime factors of q?\nAnswer: 59, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -185, 2, 774 in descending order.\nAnswer: 774, 2, -185","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 27869 and 29.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 7*x + 2. Let m be f(-7). Let b be -4 + m + -1 + 8. Suppose b*p = 8*p - 150. What is the units digit of p?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 626, 1368, 2110, 2852, 3594, 4336?\nAnswer: 5078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1377 and 102.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(a) = a**3 - a**2. Let s(r) = r**3 - 3*r**2 - r - 1. Let c(p) = s(p) - 2*v(p). Let d(q) = 2*q**3 - 2*q**2 - 3*q - 4. What is 2*c(i) - d(i)?\nAnswer: -4*i**3 + i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 300037 is divided by 33333?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 AM and 12:25 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sdsguovuvggvvvvugu. What is prob of sequence og?\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 25 = -7*a + 2*a, -a - 5*x - 7 = 0. Suppose 5*r + a = 2*k, 5*k = 5*r + 27 + 18. Suppose 0 = n - k - 9. List the prime factors of n.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 22395385 to the nearest integer?\nAnswer: 282","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 115843738007 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6709 = -19*b - 5569 for b.\nAnswer: 60","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) = v**2 - 2*v - 15. Let w(m) = -4 - 115*m + 236*m - 119*m. Let z be w(8). Is 35 a factor of l(z)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add 500 and -447449712.\nAnswer: -447449212","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = -3*z**2 + 9*z + 26. Let n(v) = 2*v**2. Determine i(n(x)).\nAnswer: -12*x**4 + 18*x**2 + 26","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 786.8637 months in years?\nAnswer: 65.571975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -385*i - 1555. Determine m(-4).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 1, 3, 4, 8358 in ascending order.\nAnswer: -2, 1, 3, 4, 8358","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 463 minutes before 8:15 PM?\nAnswer: 12:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Work out -47.045 - 0.4.\nAnswer: -47.445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) be the third derivative of -13\/15*j**5 - 1\/2*j**3 - 65*j**2 + 0 + 0*j**4 + 0*j. Let v(k) = -k. Give y(v(m)).\nAnswer: -52*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 7687867?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -60979.69101 + -228827.52009. Let z = a + 289651.2. Let n = 156 + z. What is n rounded to 3 decimal places?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43500822.\nAnswer: 2, 3, 67, 108211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4156\/3*y + 2 + 2159042\/9*y**2 = 0. What is y?\nAnswer: 3\/1039","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 3\/(-3)*-1*(-5 - -6). Suppose r + o = 24. Suppose r*v - 255 = 18*v. Is v a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5553, 22220, 50001, 88896, 138905, 200028, 272265?\nAnswer: 355616","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide 10230 by -3410.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) be the first derivative of -k**3 - 10. Let b(r) = r**2. Determine n(b(p)).\nAnswer: -3*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 3*b + 164 + 13 = 0, 3*d + 4*b - 178 = 0. What are the prime factors of d?\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 14\/108445075 and -99\/1048?\nAnswer: 867560600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = -19*v - 19. Let a = -126 + 112. What is the tens digit of g(a)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7594 is divided by 5700?\nAnswer: 1894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 444 minutes after 6:35 PM?\nAnswer: 1:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32770 and 111954?\nAnswer: 1834366290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1139998 is divided by 1190.\nAnswer: 1168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -38\/23979033 and -10\/25701?\nAnswer: 23979033","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -a**3 + 2*a - a**2 + 0*a**2 - 1 + 3. Let x be t(-2). Let k(c) = -c**3 - 11*c**2 - 43*c - 62. Let f be k(-5). Solve x*s - 3 = f for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 274698 and -0.2?\nAnswer: -54939.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 2.41 and -0.0577.\nAnswer: 2.3523","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85 = -300*r + 317*r for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*w + 23*w = s - 707, 0 = -2*s - w + 1429. Let t = 789 - s. Calculate the greatest common factor of 4 and t.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3.62? (a) -2.277 (b) 3 (c) 2\/5 (d) -97\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -15*i + 9. Let o(y) = -7*y + 75. Let r be o(12). Let m(z) = 7*z - 4. Let t(v) = r*m(v) - 4*x(v). Let g(w) = -28*w. Determine g(t(k)).\nAnswer: 84*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (34 + 12*o - 34)*(33 + 358*o**2 - 108*o**2 - 32 + 376*o**2).\nAnswer: 7512*o**3 + 12*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 214759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24\/9*4\/(-16).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:13 PM and 6:52 PM?\nAnswer: 159","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-188*q + 188*q - 97*q**3)*(q + 0 + 0).\nAnswer: -97*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 2 + -27. Suppose -y - 3*n + 46 = 0, 0 + 2 = n. Let w = y + z. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -33448, -33619, -33904, -34303, -34816?\nAnswer: -35443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -5.77 + 0.27. Let n = u - -3.5. Let v = 1127\/9 - 125. Which is the closest to -3? (a) n (b) 2\/3 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -24*w**3 + 4704529*w**2 - 4704529*w**2.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 91559910.\nAnswer: 2, 3, 5, 13, 234769","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 3657586018?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 21329 and 378.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 21\/2 of a microgram?\nAnswer: 10500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2069, 4272, 6479, 8690, 10905, 13124?\nAnswer: 15347","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -4 in 4, -4, -6, 2\/255, 9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -46 divided by -46.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/6? (a) -82 (b) -2\/3 (c) -5 (d) -10 (e) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (6 - -3)*-18 - 0. List the prime factors of -2 - (o\/3)\/((-4)\/(-8)).\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -125 + 132 - (0\/(-3) - 10). Solve i*h - 96 = 40 for h.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8 = -2*x, -2*p - 36*x - 18 = -35*x - 0 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 1.735 to one decimal place.\nAnswer: 1.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (-13 - -4)) + (4 - -4).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 1320 (base 4) in base 5?\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 847602 a multiple of 651?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = l + 11. Suppose 8 = p - 2*p. Let d be w(p). Solve 2*r + 4 = 4*j - 0, d*r + j + 13 = 0 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2650324 (base 7) to base 6\nAnswer: -11244314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -89 - -88.895. Let l = c + 0.104. What is l rounded to three decimal places?\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -316 divided by 158?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 272.7 - 273. Put -4, 0.3, -7, a in decreasing order.\nAnswer: 0.3, a, -4, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -59*u**2 + 38*u**2 + u**3 + 0*u + 0*u + 39. Calculate the lowest common multiple of 21 and z(21).\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 12 = w, 21*x = 17*x + 3*w + 21. Let p(t) = -10 + 182*t**2 + 0*t**3 - 189*t**2 - t**3 + x*t - 7*t. Calculate p(-7).\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 5 (b) 2\/5 (c) -0.8 (d) -49602\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4*v - 6*v + 17*v - 4*v.\nAnswer: 3*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 0.5 and 6?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 11385 divided by 4?\nAnswer: 11385\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 1, w: 3, k: 1}. What is prob of sequence wk?\nAnswer: 3\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 16\/2815 and -35\/3928.\nAnswer: 11057320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 2*s = 432. Let y = 196 + s. Suppose 5*g - y = 62. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -146 + -2?\nAnswer: -148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -192 or 3735?\nAnswer: -192","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 1828 - 1814. Let f(s) = -3*s + 59. Let w be f(17). What is the highest common factor of w and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 123085 and 7.\nAnswer: 861595","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -67*r + 1847636 = 1195305 - 3476410. What is the units digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (q**3 + 5*q**2 - 5*q**2)*(693*q - 69*q - 274*q + 1).\nAnswer: 350*q**4 + q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.467714 rounded to 3 dps?\nAnswer: 1.468","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 254544929 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9*a - 2181174 + 71*a**4 + 2181174 - 2*a**4 + a**4 + 2*a**4 + (a + a + 0*a)*(0 + 0 + a**3) to v*a**2 + c + r*a**3 + u*a + l*a**4 and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*r - 73*r + 21595*r**3 - 21593*r**3 - 24*r.\nAnswer: 2*r**3 - 117*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = -2*u**2. Let b(c) be the third derivative of 0*c**3 - 1 - 2*c**2 - 29\/24*c**4 + 1\/30*c**5 + 0*c. Determine b(a(z)).\nAnswer: 8*z**4 + 58*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -56 + 16*d - 270 + 362 - 36.\nAnswer: 16*d","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 u when two letters picked without replacement from yxxyxyuxu?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from pepeeeexiieeeepiiee. What is prob of picking 1 e and 1 p?\nAnswer: 11\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -i**3 - 8*i**2 + 6*i - 22. Let g be x(-9). Suppose 0 = -3*p + g*a + 592, -2*a + 557 = 3*p - 0*a. List the prime factors of p.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (30\/9*75)\/2. Suppose 24*f - 19*f = w. What are the prime factors of ((-140)\/25)\/((-1)\/f)?\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -112*y - 2. Let a be 129\/(-27) + 2\/(-9). Let n be f(a). Suppose -o = -3*t + n, 3*t - 940 = -2*t + 5*o. Is t a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7460.\nAnswer: 2, 5, 373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2 - 330*m - 230*m + 2 - 54*m to d*m + p and give d.\nAnswer: -614","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = s**3 - s + 3. Suppose 2*i = -5*d - 5, -4*d - 2 = i - 2*d. Let o be x(i). Suppose 5*m = o*n - 14 - 41, 4*m - 7 = -n. Does 9 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-73)\/((-40296)\/7636)*6.\nAnswer: 83","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4\/3 + 189052*a**3\/3 - 4467393082*a**2\/3 - 8954259328*a\/3 + 147436455936 = 0.\nAnswer: -11, 9, 47264","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 2b2853 - -2?\nAnswer: 2b2855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = x - 5*n, -n + 6 = 3*x - 5*n. Suppose -2*o + 15 = 3*o. Suppose 5*s - 14 = b, o*s - b + x = -3*b. Solve 0*a = -s*a - 6 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -2.44 + 2.34. Sort -0.4, -0.09, c in decreasing order.\nAnswer: -0.09, c, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-4)\/20)\/((-1)\/5). Which is smaller: 5\/8 or k?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 148152900 a multiple of 4373?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 20\/171 and 40\/93.\nAnswer: 5301","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 + 28 - (16 - 0).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 minutes after 11:28 AM?\nAnswer: 11:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -44\/89?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (6\/9*-3)\/(-2). Let i be (21\/6)\/(t\/2). Calculate the highest common divisor of i and 77.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((r*r**9*r*r)**(3\/8))**(-2\/25))**(27\/7) assuming r is positive.\nAnswer: r**(-243\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 85*x = 63*x + 418 for x.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -3074, -6136, -9198?\n\"Answer: -3062*y - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 43*b**3*o**4 + 5*b**3 + 4*b**2*o - 3*b*o - 9*b + 670645*o**3 - 108 wrt o?\nAnswer: 516*b**3*o**2 + 4023870*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -111000101010110010 + -101?\nAnswer: -111000101010110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1? (a) -4 (b) -0.1 (c) -0.5 (d) 5\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 115248 and 294.\nAnswer: 115248","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -718 (base 11) to base 12\nAnswer: -602","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 4*h**2 - 4*h**2 + 3 + 10*h**2 - 6*h + 2 - 18*h**3 + 9*h**3. Let u(r) = -2*r**3 + r**2 + 1. Let d(o) = n(o) - 5*u(o). Factor d(s).\nAnswer: s*(s - 1)*(s + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k + 42 = 4*o, -3*o - 12 = 3*k - 48. What is the remainder when 38 is divided by o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1298120?\nAnswer: 2, 5, 17, 23, 83","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*x - 2*l - 17 = 13*x, -5*x + 4*l + 85 = 0. What is the remainder when 303 is divided by x?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 8 - 11. Let f = -11969 + 11973. Let v = 1 + -1. What is the closest to v in i, 1, f?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -248 - -0.818.\nAnswer: -247.182","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -62*f - 3 = 5*d - 61*f, -3*f = -4*d - 10. Let z = -0.6 + 0.1. Suppose -4 = v + 3*v. Which is the closest to d? (a) z (b) v (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((4 - 4 + 2*l)*(1 - 2 - 1) + l - 4*l + 4*l + 0 + 2*l + 0 - 5*l - 3*l + 3*l)*(1 - 4 + 0)*(l - 5 + 5).\nAnswer: 18*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 5*x - 6 = 0, 119*h - 5*x - 16 = 122*h for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*b + 16803 + 418. Let u = 2429 - b. Does 78 divide u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 49 by 8.\nAnswer: 49\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a**2 - 2*a - 1. Let z be b(-1). Suppose 0 = z*x - 32 - 146. Let t = x + -59. What are the prime factors of t?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(11) - (sqrt(55)\/sqrt(5) + -2 - sqrt(11)) - -1*sqrt(176) - (sqrt(4400) - 2*sqrt(4400))\/(sqrt(32)\/sqrt(2))) + -1)**2.\nAnswer: 20*sqrt(11) + 1101","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = 6, 8 = -2*n - 0*n - 4*p. Let o = n - -16. What is the greatest common divisor of 8 and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:12 AM and 9:46 PM?\nAnswer: 634","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) = 4 + 3096*h - 3100*h - 5 - 3. Suppose -65 = -3*d + 2*w, 2*d + w - 62 = -d. Suppose 0 = 5*c + 6 - d. Determine r(c).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 54 divide 372232?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g be -3 + (3\/3 - -3). Let s be 230\/(-20)*(g + -3). Suppose -4*h + 2*w = -s + 7, 5*h - 31 = -3*w. Solve 0 = h*z + 3*i + 11, 0 = -4*z + 6*i - 3*i + 2 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -66 - -176. What is the tens digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -63 + 36 + 14 - (3 - (-1 + -31)).\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 1748779 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 495, -5, 12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = -o. Let i(a) = -3*a + 1. Let n be 20\/(-6)*-2*(-12)\/(-16). Give n*c(t) - i(t).\nAnswer: -2*t - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j when two letters picked without replacement from gjj?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -1 + 5. Suppose 0 = 5*k + p*b - 25, 5*k = 3*b + b + 25. Suppose -n - k*x - 5 = 0, -x + 0*x = 5*n - 71. Is n a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 take away 7553101248231?\nAnswer: -7553101248233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v - 33 = -3*z, 2*v - 2*v - 2*v + 5*z = 13 for v.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -17\/394033 and 21\/2101.\nAnswer: 4334363","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 - 10. Let d(g) = 44 - g**i - 7*g - 44. Let r be d(-7). Solve 2*j - 5 + 13 = r for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 64*p = 13*p + 561 for p.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 34056 and 226008?\nAnswer: 2486088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-6)\/(-42) - ((-4)\/(-14))\/2. Suppose -z - 1423 + 8502 = i. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 39110103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 4*u = 1, -9*i - 5*u = -4*i + 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2783 and 23.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -14 and 202 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-32)\/3 + 2\/3. Let h = p + 15. Let t be ((-1960)\/(-56))\/(21\/6) - (3 - -10). Sort h, t, 1 in descending order.\nAnswer: h, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 118352641*p**4 - 12071925866*p**3 - 305709310331*p**2 - 112402236*p - 10332 = 0. Calculate p.\nAnswer: -21, -2\/10879, 123","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = p**2 - 1206*p - 119416. Determine b(-92).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add 478225503027410 and 5.\nAnswer: 478225503027415","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddz when three letters picked without replacement from dzdvvbybbvbyzv.\nAnswer: 1\/546","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y**2 + y - 8. Let f be x(13). Suppose 2*j - 52 + f = 0. Let h = j - -57. Let i(t) = -t**2 - 3*t + 5. Determine i(h).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -853 = -5*x - y, -x = x - y - 344. Let a be 3\/5 - x\/(-15). Solve 3*d + d - a = 0 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -5*(-2)\/10*3. Suppose 0*p + 2*p - 6 = 0. Suppose 2*l - 4 = -2*g, -g + 5*l + 0*l = -8. Solve -5*w + o*a = -g*w - 3, 4*w - p = 5*a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -4595824*a**2*n*r**3 + a**2*n*r - 4510*a**2*r - 15*a**2 - 2*a*r**3 - 2*a wrt n?\nAnswer: -4595824*a**2*r**3 + a**2*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -9*m - 6. Let o(q) = -q + 1. Let l(a) = -n(a) - 6*o(a). Let s(u) = 3 - u - 2 - 1. What is 2*l(d) + 33*s(d)?\nAnswer: -3*d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 187241 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1848*u**5 + 2*u**4 + 2323*u**2 - 1162*u + 7985 wrt u?\nAnswer: 36960*u**3 + 24*u**2 + 4646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: (-25182)\/11192*(-16)\/(-6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(z) = 2*z**2 - 21*z - 114. Let b be m(17). What is the greatest common factor of 1 and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(m) = 9164492*m - 5*m**2 - 9164492*m. Let y(q) = 711*q. What is j(y(c))?\nAnswer: -2527605*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) be the second derivative of a**6\/50 - 177*a**5\/100 + 621*a**4\/10 - 5346*a**3\/5 + 8748*a**2 + 67*a + 3. Factor x(f).\nAnswer: 3*(f - 18)**3*(f - 5)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -549*f**3 + 6*f**2 - 6*f + 2820. Let l(g) = -541*g**3 + 7*g**2 - 7*g + 2821. Let d(y) = 7*b(y) - 6*l(y). Find the first derivative of d(c) wrt c.\nAnswer: -1791*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -4*f + 11*t, -4*t = 40*f - 38*f + 2 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 8077*q - 8077*q - 2*q**2.\nAnswer: -2*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - o = 7*b - 9, -o = -4*b + 9. Let t(m) = 2 - b - 8*m + 10*m. Let u(z) = -3*z**2. Give t(u(y)).\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 0.1105 + 250662\nAnswer: 250662.1105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let q(g) = -59*g - 82. Let l(z) = 30*z + 40. Let j = -169 + 166. Let n(x) = j*q(x) - 7*l(x). What is the first derivative of n(y) wrt y?\nAnswer: -33","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -9252, -18504, -27756, -37008, -46260, -55512?\n\"Answer: -9252*r","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -16*s = -3*j - 11*s + 20, 5*j - 20 = 5*s for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-38)\/21*(121\/(-726))\/((-9)\/252)\nAnswer: -76\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.42603301 rounded to 2 dps?\nAnswer: -0.43","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -414 - 48. Let x = -535.6 - p. Let y = x - -80. Round y to zero dps.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 279 minutes after 10:26 PM?\nAnswer: 3:05 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -20*a + 6403 = 2043. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -145\/54 and -93\/9232?\nAnswer: 249264","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 171497 to the power of 1\/3, to the nearest integer?\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 524344?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 35640 and 420.\nAnswer: 249480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6 = 16*u + 54 for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82099*q - 14625 - 625 = -81939*q + 2830 for q.\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -o + 2, -19 = -3*r - 2*o. Let k = 27 - r. List the prime factors of k.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-4)\/14)\/((-138)\/((-144900)\/150))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(c) be the first derivative of c**2\/2 - c - 10. Let l(g) = g**2 + 2*g - 2 + 0*g + 0. Calculate l(q) - 2*x(q).\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s\/s**(2\/13)*s**3)**(-26))**(-22) assuming s is positive.\nAnswer: s**2200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 51109, 54359, 57609?\nAnswer: 60859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(p) = 23*p + 3. What is k(-1)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3631 = -1143?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -5065 + 5067. Let l = -3.87 - 0.13. Which is the closest to 3? (a) -0.4 (b) l (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 218 - 237 - -16 - (2 - -6 - 1)*-17\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1)\/(-4) - 78\/(-8). Suppose -150 + i = -4*p. Suppose -20*g = -8*g - 2100. Calculate the highest common factor of p and g.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -g = -3*z + 2229, -4*z + 2521 = -4*g - 459. What is the greatest common factor of 70 and z?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*s - 61 = 160. Calculate the remainder when 32 is divided by s.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -8 + (-10 - -4) + 5.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:18 AM and 1:36 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the second derivative of k**3\/6 + 9*k**2\/2 - 8*k. Let t be p(-8). Calculate the highest common divisor of 11 and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/35)\/(90\/(-35) + 3)?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 9995, 9992, 9989, 9986?\n\"Answer: -3*n + 9998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/9 + -1)*(-88)\/((-1672)\/(-399)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 5*l - 3940 = 0, 4*d - 3*l + 4*l = 3162. Let k = -462 + d. Is k a multiple of 41?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4426?\nAnswer: 2, 2213","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -9 - -7. Let o = n - 2. Let r be (-2)\/7 - 5\/7. Which is the nearest to r? (a) 1 (b) 0.3 (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 2572220 and 95.\nAnswer: 2572220","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -3? (a) -4 (b) 2\/7 (c) 6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*x + 3*y + 65, -3*x + 4*y + 62 + 36 = 0. Let v be 1*(-1 - -1 - 0). Suppose v*m + 2*m = 24. Calculate the remainder when x is divided by m.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5754 - 5749. Sort 5\/9, 0.6, 0.4, t.\nAnswer: 0.4, 5\/9, 0.6, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*v**3 - 570003*v**2 + 3419937*v - 5129865 = 0. What is v?\nAnswer: 3, 189995","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 40371 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 1 - 10\/7 - 1950\/(-875). Find k such that -h*k - 3\/5*k**2 - 6\/5 = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -1, 1, 6, -5, -411180, 0.3.\nAnswer: -411180, -5, -3, -1, 0.3, 1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 505666 to the power of 1\/2, to the nearest integer?\nAnswer: 711","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.068141*60.\nAnswer: -4.08846","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 3\/(-5 - (-4 + -2)). Which is the second smallest value? (a) l (b) -181 (c) 4 (d) 2\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 119980 = -4862*v + 27602 for v.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put together 2378851 and 13.\nAnswer: 2378864","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 - (4 - -1 - (-14 - -18)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = g**3 + 5*g**2 + 3*g + 15. Let i be c(-5). What is the nearest to i in 1, 1\/3, -0.5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 903 - -3957. What is the tens digit of k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.4 * 3.95079.\nAnswer: -1.580316","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*g - q + 132, 3*g + q + q - 82 = 0. Let m(o) = o**2 - 21*o + 56. List the prime factors of m(g).\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1034 - 1040. Let d(k) = 19*k + 8. Let x(n) = 10*n + 4. Let b(l) = -3*d(l) + 5*x(l). Let c(o) = -13*o - 7. Determine y*c(p) + 11*b(p).\nAnswer: p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4781457 and -0.09.\nAnswer: 430331.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 325389997 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59*3\/585 - ((-24)\/204 - 88\/408)?\nAnswer: 2\/65","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -2, 158, 5 in descending order.\nAnswer: 158, 5, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 20*f - 20*f - f**3 + 2*f**4 - 5 to b*f**2 + u*f + k*f**3 + n*f**4 + i and give i.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -55390 + 86901. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -m**2 - m**3 - 2*m - m**3 + 3*m as o + x*m + i*m**3 + k*m**2 and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2272008?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -55*o = -74*o + 114 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -81 + 24 - 37 + 26*l**3 - 105 wrt l?\nAnswer: 78*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 1793563, 1793554, 1793545, 1793536?\n\"Answer: -9*i + 1793572","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0, 130, -47, 53 in descending order.\nAnswer: 130, 53, 0, -47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 + 3. Let t = o + 6. What is the nearest to -0.1 in t, 5, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.9 and -522004.\nAnswer: -522004.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2 + 1)*(-1 + 2). Let g be k + (-2)\/(0 - -1). Which is smaller: g or -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (-12660)\/4*(-8)\/12. Suppose -202*u - y = -207*u. What is the hundreds digit of u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 270 and 351?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.8421864 weeks to hours.\nAnswer: 141.4873152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor -j**3\/4 + 1447*j**2\/4 - 46970*j + 1601075.\nAnswer: -(j - 1307)*(j - 70)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -191467 + 42888693\/224. What is the common denominator of c and -109\/2688?\nAnswer: 2688","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 752159*m**2 - 544343*m?\nAnswer: 1504318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-10)\/(100\/90)*684\/108?\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 499239 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 v, 1 j, 1 w, and 1 k when four letters picked without replacement from {v: 3, w: 2, j: 3, m: 2, k: 3}.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.8? (a) 18 (b) -3 (c) -0.2 (d) -1\/6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2*4\/(-40))\/((-3)\/(-5))*39.\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -2621721 (base 10) in base 13?\nAnswer: -70a41b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = 2*n**3 - 20*n**2 + 31*n - 16. Calculate m(8).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (-2 - 5)*(22 + -23)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(c) = -29*c**2 + 2*c - 3. Let i(r) = 116*r**2 - 8*r + 13. Let t(s) = -2*i(s) - 9*o(s). Calculate the remainder when 82 is divided by t(1).\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/118? (a) 2 (b) 0.25 (c) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2254540 and 450908?\nAnswer: 2254540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3\/2 (b) 0.2 (c) -3 (d) -39 (e) -22\/223 (f) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**3\/5 - 972*u**2\/5 + 6847*u\/5 - 5874\/5.\nAnswer: -(u - 6)*(u - 1)*(u + 979)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = -10, -5*m + 3*s = -0*m - 1140. What is the greatest common divisor of m and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c*c\/((c\/c**(5\/2))\/c)))\/(c*c*(c\/(c\/(c\/(c**(-10)*c*c))*c*c*c*c))\/c))**(-27) assuming c is positive.\nAnswer: c**(567\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*w + 0 = 6. Suppose w*j - 10 - 11 = 0. Suppose 0 = -11*f + j*f + 36. What is the units digit of f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are -1000431 and -1000356 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) be the third derivative of -u + 0 - 12*u**2 + 1\/90*u**5 - 13\/18*u**4 + 169\/9*u**3. Factor x(f).\nAnswer: 2*(f - 13)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3*z - 45, 5*i + z - 39 = 16. Suppose i*u = -3*u + 2028. Is 7 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10325136 - 25*v + 10325132 + 2*v.\nAnswer: -23*v - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 279379 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: 3 * -139595.7\nAnswer: -418787.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 4609294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(n) = -n**2 - 9*n + 2. Let u be h(-9). Suppose 0 - 12 = 4*y. Let b(k) = -k + 2. Let l be b(y). Sort l, 0, u in increasing order.\nAnswer: 0, u, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*v + 16*v + v = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -16 + 15.7. Let u = d - 2.7. Let h = 2.2 + u. What is the third smallest value in h, -0.5, 1\/4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-36)\/(-8)*60\/225.\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 28872?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.0929 - -0.097. What is n rounded to three decimal places?\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xrsk when four letters picked without replacement from {r: 4, k: 1, x: 2, s: 2}?\nAnswer: 1\/189","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.735317kg to tonnes.\nAnswer: 0.000735317","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.686 + -0.586. What is the biggest value in b, 4, -64\/21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/z**14)\/z**(-43)*z*z**(-4)*((z**14\/z)\/z)\/z assuming z is positive.\nAnswer: z**38","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*g - 424 + 136 = 0 for g.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1497 is divided by 120?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {d: 1, x: 2, t: 3, o: 6, j: 5}. Give prob of sequence tot.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 31*n**3 + 7.\nAnswer: 31*n**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(k) = 3*k**3 - 34*k**2 - 2*k - 49. Is 30 a factor of s(17)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, b: 3}. Give prob of sequence bb.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -2 in descending order.\nAnswer: 4, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 31\/2720 and -105\/11696?\nAnswer: 116960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 376.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 44.7 rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Convert 125ab43 (base 12) to base 10.\nAnswer: 3606243","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 d and 1 a when four letters picked without replacement from {a: 1, d: 11}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -74 - -76. Let n = -10 + 16. Let p = 370 - 360. Solve -n = -z*d - p for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + (-5*(-1 + sqrt(75) - sqrt(75)))**2.\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wwqwqqqqqwwqw. What is prob of picking 3 q and 1 w?\nAnswer: 42\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 3*m = -4*t + 26, 25 = 5*t - 5*m. Suppose 2*b - 2*n - 8 = t, -2*b = 2*n - 22. Is (2 - b*-3) + 2 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, -6\/35, -20\/9, -0.3, -104 in increasing order.\nAnswer: -104, -20\/9, -0.3, -6\/35, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 82922 is divided by 255?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:02 PM and 4:28 PM?\nAnswer: 266","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (-8)\/(-48)*0*-1?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 8, 32, 90, 200, 380, 648?\n\"Answer: 3*y**3 - y**2 + 6*y","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1080)\/96*(-72)\/(-15) - -12.\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*r**2 + 9*r**2 - 2*r - 17*r**3 + 26 + 0.\nAnswer: -17*r**3 + 15*r**2 - 2*r + 26","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5 and 2579202?\nAnswer: 12896010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 42 = -4*w - 68, 21 = -3*u - 6*w for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 11 - 3. Does 6 divide 270\/12*1*b\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 - 4. Let m be 27\/(-4)*224\/(-84). Suppose -5*n + 20 = 0, -4*q + 2*q + 4*n - m = 0. Sort -3, q, v in decreasing order.\nAnswer: q, -3, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 70985758?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (620\/(-68) - -3).\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 581.47435 to 1 decimal place.\nAnswer: 581.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 41 - 41. Let h be (d - -1) + 37 + -3. Suppose h = f - 5*u - 20, 5*u - 145 = -3*f. What is the remainder when f is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -15*i**3 - 2912*i**2 - 2*i - 28258?\nAnswer: -90*i - 5824","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*1*sqrt(63) - (sqrt(567) + 5))*5.\nAnswer: -25 + 30*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y be -10*((-5)\/2 + 2). Suppose y*s = s + 96. Let l = 66 - s. What is the remainder when l is divided by 11?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + -5 + -3*sqrt(288))**2 - (sqrt(16)\/sqrt(8) + -1 - (sqrt(96)\/sqrt(6))\/sqrt(8)).\nAnswer: 2593","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 55174?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h(q) = -q - 4. What is h(4)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (5 - (-96)\/(-40)) + -3. Let n = -17 + 20. Which is the third smallest value? (a) n (b) -1\/6 (c) y (d) 0.13\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -508070, -1016136, -1524178, -2032184, -2540142, -3048040?\n\"Answer: 2*o**3 - 508080*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/17, 0, 3, -1, -12, -15, -3 in ascending order.\nAnswer: -15, -12, -3, -1, -2\/17, 0, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 4\/(-14) - 52\/14. Let z(d) = -d**2 + 32*d - 96. Let c be z(9). Suppose -2*f - 101 = -c. What is the second smallest value in 0.8, b, f?\nAnswer: 0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -149 + -7?\nAnswer: -150","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l + v + v - 225 = 0, -2*v - 225 = -5*l. Calculate the greatest common factor of l and 81.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 4 + 6. Suppose k = y - 12. What is the highest common divisor of 153 and y?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 52661153.622 - 52661219.621999938. Let u = 66 + o. Round u to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -170, -8, 3 in increasing order.\nAnswer: -170, -8, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 1\/37 - -109\/74. Let t = -155\/2 + 80. Let c = 0.05 - 4.05. What is the second biggest value in c, s, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -102590 divided by -5?\nAnswer: 20518","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = k**3 - 14*k**2 - 34*k + 254. Give z(15).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 880 - 19?\nAnswer: 861","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1008) + -1 + 3)**2.\nAnswer: 48*sqrt(7) + 1012","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 168691 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let f(g) = 10*g**2 - 6*g - 12. Let i(j) = j + 1. Determine f(l) + 12*i(l).\nAnswer: 10*l**2 + 6*l","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3\/17, 1\/5, 5, -31 in ascending order.\nAnswer: -31, 3\/17, 1\/5, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 12*d - 8*d. Suppose -3*h + 46 = h + d*b, 3*h = -b + 40. What is the least common multiple of 20 and h?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-122)\/(-18) - (72\/(-81))\/4. What is the greatest common factor of c and 427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 6*j**2 - 2*j - 8. Let l = -3 - 6. Let x = 3 + l. Let z be f(x). Solve -3*h + 8 = -z for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 698 - 634. Let t be (m\/12)\/((-2)\/(-3)) + 0. Solve -5*d = t - 28 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -4.6 - -3. Let w = v - -1.5982. What is w rounded to three decimal places?\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*q - 10*q = 2*g - 1782, 3564 = 4*g - 2*q. What is the highest common divisor of 33 and g?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 405, 389, 351, 279, 161, -15?\n\"Answer: -2*x**3 + x**2 - 5*x + 411","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6094 + -6098. Let a be (2\/31)\/((1 - 7) + 3). Put -1\/5, a, n in descending order.\nAnswer: a, -1\/5, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u - 25*b = -13*b - 8*b - 53, 0*u - 4*u - 3*b = -41 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 630 and 21207900?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 277 + -277. What is the closest to a in 5, 4, 3, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -16ccf (base 16) in base 3?\nAnswer: -11202002221","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 20.502 - 15.54. What is d rounded to 1 dp?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10078?\nAnswer: 2, 5039","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*o + 110*l = 114*l + 59, -5*o = -6*o + 5*l + 58 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = o**2 + 6*o + 5. Let d be x(-6). Let i(z) = z**3 - z**2 + 2*z - 3. Let r be i(1). Put r, -30, d in descending order.\nAnswer: d, r, -30","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 690, 681, 672?\nAnswer: 663","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 31535625 and 84375.\nAnswer: 1419103125","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1\/8, -110, 9076?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -25.7 + 26. Let p(x) = 2*x**2 - 4*x - 1. Let i be p(3). Let v be 68\/(-20) - (-2)\/i. Which is the smallest value? (a) y (b) -1 (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*j = 4*j - 8. Let m be j\/5*(-30)\/(-12). Suppose -3*b - 2*w = 3 + 8, 1 = 3*b - w. What is the nearest to 1\/2 in m, b, -5?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -7960057*p**2 + 22702461 wrt p?\nAnswer: -15920114*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9069 + -8943. What is the highest common divisor of r and 2828?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 7, -8266 in decreasing order.\nAnswer: 7, -1, -8266","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 48?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + 10\/(-16) + (6\/(-32))\/(72\/37392)?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 + 5*z**3\/6 + z**2\/2 - 2*z. Determine i(5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -q**3 + 2*q**2 + 2*q. Let v be y(-2). Let p be 16\/v*(2 + 1*4). Let i = 9 - 1. What is the greatest common factor of p and i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth biggest value? (a) 807 (b) 10.23 (c) -0.2 (d) -6 (e) 0.5 (f) -0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 50, 52, 54, 56, 58, 60?\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 28 - 23. Suppose a + 9 = -x*h, 2*h - h = -2*a. Suppose -4 = -4*t + 4. Sort a, -5, t in increasing order.\nAnswer: -5, a, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 8 - 2. Let d be a - (3 + -4) - 3. Calculate the highest common factor of 2 and d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1930? (a) 109 (b) -3\/8 (c) -4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 4218 and 114.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 32 and 40.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cuocu. What is prob of picking 2 u and 1 c?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-1)\/(-2*(-2)\/4). Let q(f) be the first derivative of -f**5\/15 + f**3\/6 + 62*f**2 + 63. Let k(t) be the second derivative of q(t). Give k(v).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 62750 and 514550.\nAnswer: 2572750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(t) be the first derivative of t**2 - 12*t + 7. Let h be r(7). Find the common denominator of 36\/5 and -1 + 195\/(-12) + h.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -3, -772, 14 in descending order.\nAnswer: 14, -0.1, -3, -772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 572294?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 3175 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 9195 - 2080. Let t = -2019 + 1725. Let f = s - t. Is f a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1078\/53 greater than or equal to 21?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b + 1 = u - 0, 0 = 2*u - 2*b - 26. Suppose -21 = -15*a + u. Solve -p + 2*f + a - 1 = 0, 0 = 4*p + 2*f - 14 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine w so that -w**2 - 1664*w + 11697 = 0.\nAnswer: -1671, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, w: 13, u: 3}. What is prob of picking 2 u?\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -3696 or -3936?\nAnswer: -3936","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of 11*y**8\/336 - y**5\/20 + 1349*y**4\/24 - y**3\/3 - 3456*y**2. What is the second derivative of a(u) wrt u?\nAnswer: 220*u**3 - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) be the second derivative of h**4\/12 - 2*h**3\/3 - h**2 + 2*h. Let m be v(5). Solve -2*w = -5*b + w - 40, -5*w = -m*b - 40 for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 472 and 6903.\nAnswer: 55224","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -671*j - 773*j - 3782*j - 1512*j + 7905 with respect to j.\nAnswer: -6738","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(r) = 2*r - 1. Let w be y(2). Solve w*i - 6*i - 6 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 - 10 = m. Let y = -10 + 14. Sort m, y, 3 in increasing order.\nAnswer: m, 3, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 303 a factor of 3296169?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*y**2 + 2*y**2 - y**2)*(1914 + 7480*y - 3721 + 1806).\nAnswer: -22440*y**3 + 3*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 6. Let k be 239002 + (0\/h - 2). Round k to the nearest 10000.\nAnswer: 240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 4\/33 or 7789?\nAnswer: 7789","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 868 and 341?\nAnswer: 9548","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*d + 4537 + 2487 - 104 = 0. List the prime factors of d.\nAnswer: 2, 5, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 minutes before 12:56 PM?\nAnswer: 10:27 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 29*t + 18*t - 18*t in the form v*t + i and give v.\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -6*n**2 - 45*n - 189. Let z be b(-4). Let w be (-196)\/(-343)*z\/(-2). Solve -5*s - w = 2*v - 0*v, -3*v + 1 = -4*s for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from faaaaffffaffff. Give prob of sequence aa.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 328 minutes after 4:30 AM?\nAnswer: 9:58 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -241 - -439. Let b = p + -197.9999294. What is b rounded to 6 dps?\nAnswer: 0.000071","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h + 273 = 13*s - 18*s, h = 4*s + 221. Let v be ((-47)\/15 + (-6)\/(-45))*s. Calculate the highest common divisor of v and 99.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes before 8:31 PM?\nAnswer: 6:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 297809740?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -7 in -445, -2, -3, 0.5, 0.04, -0.1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2 + 82\/2 + 1. Let u(l) = -l**3 + 4*l**2 + 4*l - 12. Let q = 250 - 246. Let a be u(q). What is the greatest common factor of a and y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -14541842, -29083678, -43625514, -58167350?\n\"Answer: -14541836*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d\/(d\/d**(-3)))**(-2\/61)*(d**4\/d)\/d**5 assuming d is positive.\nAnswer: d**(-118\/61)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10001100010110 + 10?\nAnswer: -10001100010100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = q + 2. Let c(w) be the second derivative of w**3\/2 + 5*w**2\/2 + 2*w. Let z(t) = -2*c(t) + 5*f(t). Let x(p) = p**2 + p**2 + 0*p**2. What is z(x(u))?\nAnswer: -2*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, 6, -5, -3, -14, -37 in increasing order.\nAnswer: -37, -14, -5, -3, -1, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Do 203100 and 406201\/2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 3*b**3 - 16*b**2 - 18*b + 31. Suppose -426*k + 222 = -389*k. Give m(k).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9 + -4 + -5 + -1 + -1?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 775 and 325.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2304 (base 5) to base 2.\nAnswer: -101001001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/6 of a day in minutes?\nAnswer: 1200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4942 + 2906 = 398*p - 27*p + 57 for p.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -29 + 364.5?\nAnswer: 335.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c - 2*c = -5*r - 83, 0 = -4*c + 5*r + 114. Suppose 0 = 26*a - c*a + 2345. What is a rounded to the nearest ten?\nAnswer: 470","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*p**3 + p**3 + 47*p**2 + 42*p**2 + 4*p**2 + 13*p**2 - 57*p**2.\nAnswer: -2*p**3 + 49*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xnpxy. Give prob of sequence ny.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = t**3 - 10*t**2 - 11*t + 14. Let k be s(11). Solve -w + 18 = k for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((21\/(-7))\/(-15))\/(2\/10).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = -23*g - 2. Let s(y) = -301*y**2. What is s(d(p))?\nAnswer: -159229*p**2 - 27692*p - 1204","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 731 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g - 8207 + 2*g + 55 + 2*g.\nAnswer: 3*g - 8152","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -61*j - 61*j - 44*j + 167*j.\nAnswer: j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-128*m + 3 + 117*m - 1)*(-4 + 0 + 1)*(-3*m + 2*m - m) in the form h + q*m**2 + t*m and give t.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 340010427?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by 202\nAnswer: 3\/202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((6 - 0 - -3) + -6 - -2) + 0\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 5, b: 2, o: 4}. Give prob of picking 2 b.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find w such that -2*w**2\/9 - 148*w\/9 - 32 = 0.\nAnswer: -72, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 8581 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 53871646 to the power of 1\/2, to the nearest integer?\nAnswer: 7340","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Express -269*p**2 + 542*p**2 - 2*p**4 - 31*p**3 + p - 273*p**2 as c*p**2 + s*p + g + z*p**3 + q*p**4 and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 26709695.7179 + 0.1.\nAnswer: 26709695.8179","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 834269*30\nAnswer: 25028070","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-10)\/(-7) + 9\/(-21). Which is the closest to h? (a) 6 (b) -3\/8 (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(y**(-8)\/y)*y*y*y*y\/(y**(-2\/3)\/y*y)*y)\/((y\/(y\/y**(1\/2)))\/y*y**(3\/10)) assuming y is positive.\nAnswer: y**(238\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2190 - 3096 = -294*j + 2946 for j.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.095 minus 1451454978?\nAnswer: -1451454978.095","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"} +{"text":"Question: Sort 4.5, -517, -3.\nAnswer: -517, -3, 4.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -19\/322 and -18\/35.\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -30680 and -110?\nAnswer: 3374800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -62 + 22. Let k(m) = -m**3 - 4*m**2 + 5. Let t be k(-4). What is the units digit of 124*t\/(p\/(-4))?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1564 divided by 23?\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*y + 2 = -11*y, y + 1261 = 4*s. What is the greatest common divisor of s and 42?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -29 - -28.995. Let f = m + 0.00479. Round f to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 546\/70 - (-2)\/10. Suppose -2 = -2*k + c. Suppose -2*b - 3 = -5*p, -2*b + 15 = 2*b - 3*p. Solve 3*x - b = -k*j, x - 6*x = -10 for j.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 315998273 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18161 to the power of 1\/6, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -2*o**3 + 565*o**2 + 4380*o - 8741. Calculate h(290).\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -126008959, -126008954, -126008949?\nAnswer: -126008944","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (15\/(-6))\/((-2)\/4). Suppose 0 = -4*j + 11 + d. Solve 2*i - 2*b = -2, j*i - 2 = -i - 2*b for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 7*c**3 + 5*c**2 - 3*c + 5. Suppose -4 = -f - 0. Let n be -3 + 0 + 4 - f. Let j(b) = -4*b**3 - 3*b**2 + 2*b - 3. Give n*v(k) - 5*j(k).\nAnswer: -k**3 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 323554765 to the power of 1\/6, to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from zezzezeeez. Give prob of picking 3 z.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 4.004 - 0.004. What is the closest to 0 in -5\/4, -0.5, s?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 1\/12, -31, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -759899, 28 in descending order.\nAnswer: 28, -3, -759899","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-1*sqrt(77)*5 + (sqrt(77) + sqrt(77)*2*5 - (sqrt(77) - ((sqrt(77) + -2*sqrt(77))*-4 + sqrt(77)))))\/((sqrt(84)*1)\/(-1*sqrt(3)*6)).\nAnswer: -105*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9454*b + 13759*b + 20480*b.\nAnswer: 43693*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j and 1 f when two letters picked without replacement from {v: 1, f: 1, j: 1}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.37372 rounded to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -i**2 + 9*i + 18. What is o(11)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -9*h**3*l**2*t**3 - 44*h**3*l*t**3 + 47*h**2*l**2*t**2 + 3*h**2*l**2 + h*l*t**3 wrt h?\nAnswer: -54*l**2*t**3 - 264*l*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = 3*r**2 - 2*r - 2. Let n(o) = -o**3 + 12*o**2 + 14*o - 15. Let l be n(13). What is the tens digit of z(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-4)\/12*5\/(-2)?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 22 + -39?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0.6 or 2.4?\nAnswer: 2.4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(j) = 2*j**2 - 4*j. Let m(a) = -2*a**2 + 3*a. Let p = -107 + 104. Give p*g(t) - 4*m(t).\nAnswer: 2*t**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 9\/44 > -2\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Convert 644 (base 10) to base 8.\nAnswer: 1204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 475024233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (24*16\/(-128))\/((-6)\/92)?\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 6968473 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -155414412540 + -1?\nAnswer: -155414412541","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = -13*n**2 + 7*n - 11. Determine i(2).\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-9)\/((-27)\/(-6)))\/((-10)\/(-3)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 16074997 to the nearest integer?\nAnswer: 4009","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = -x**2. Let l(i) = -2524*i**2 + 5030*i**2 - 2518*i**2. What is a(l(v))?\nAnswer: -144*v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -32 - (-75 - (-112 - -142))?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -210 and 23?\nAnswer: -4830","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 5 + (-5 - 8) + -3 - -11 - -45.\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -29, -94, -171, -266, -385, -534?\n\"Answer: -k**3 - 58*k + 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*r + 74*r - 2*b + 40 = 0, 20*r + 4*b - 120 = 0 for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 26\/20 + (-5 - (-42)\/10). Suppose 0*x = -x. Sort x, k, 4 in decreasing order.\nAnswer: 4, k, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 126498163537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -54 - 24464?\nAnswer: -24518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 269401.8 millimeters?\nAnswer: 269.4018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-61 - 5 + 27)*(2 - 2*t - 2 + (-1 + 0 - 1)*(-2*t + 0 + 0)) + 23*t - 100 + 100.\nAnswer: -55*t","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - 2*c**2 - 3*c + 9. Let t be n(7). Let u(y) = -y**2 - 3*y + 2. Let v be u(-5). Is (-1)\/4 + t\/v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 102?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand 20*p**4 - p - 1428*p**3 + 1426*p**3 + 76*p**4 + (p**3 - 3*p**3 + 4*p**3)*(-p + 3 - 3).\nAnswer: 94*p**4 - 2*p**3 - p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -12357 - -12601. Is u <= 244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l\/l**(2\/13))\/(l**(1\/7)*l)*(l*l\/(l*l**(-2\/11))*l)**(5\/13) assuming l is positive.\nAnswer: l**(543\/1001)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or -1106\/321019?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) = b. Let z be o(-1). Let i = 65 + -453\/7. Let p be (1\/(-7))\/((-4)\/4). Sort z, p, i in increasing order.\nAnswer: z, p, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.8476644ms in hours?\nAnswer: 0.000001902129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = 2*g**2 + 3*g - 1. Let w(t) = 6*t + 19. Let x be 4\/5 + 228\/(-60). Let c be w(x). Calculate b(c).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -q**3 - 4*q - 25 + q + 25.\nAnswer: -q**3 - 3*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 662108 is divided by 1176?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = -f**3 + 6*f**2 - f + 5. Let o be m(6). Suppose 2*b = 3*b + 5*u - 18, -2*u = 5*b - 21. Let v(i) = -2*i**2 + 10 - 5*i**b - 9 + 0*i**2. Determine v(o).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = m**3 - 4*m**2 - 5*m + 6. Calculate r(4).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1135*o - 1593*o + 46*o - 40230 = 0 for o.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = 17*q**3 - 7. Let v(o) = -50*o**3 + 20. Suppose -132*m + 18 = x - 128*m, -3*m = 4*x + 6. Determine x*v(j) - 17*u(j).\nAnswer: 11*j**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 46 = 47*j - 24*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (31 + (-31 - -4) - (-58 - 3)) + -2?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2*(1512\/21)\/(-4176)?\nAnswer: 1\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the second derivative of 55715*a**3\/6 - 5*a**2\/2 + 4*a. Let r be o(7). Round r to the nearest 100000.\nAnswer: 400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*l - 3 = 17. Suppose 123 = -l*y - 57. Let b = -31 - y. What is the units digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -1 - 0\/3 - -6. Suppose -150 = -a*x - 25. Suppose 3*p - 20 = x. What are the prime factors of p?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((g*g**(2\/13))\/g)\/(g\/(g\/(g\/(g*g**9\/g)*g))))\/((g*(g**(-4)\/g)\/g)\/g**(-1\/6))*((g**(-2\/19)*g)\/(g**(-15)*g))**(-25\/4) assuming g is positive.\nAnswer: g**(-240395\/2964)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by -3849\nAnswer: 7\/3849","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h(f) = -14*f**2 + 18*f - 12. Let j(w) = 5*w**2 - 6*w + 4. Let b(t) = 5*h(t) + 16*j(t). Suppose -3*o = -12*o + 36. Let q be b(o). Round q to the nearest 100.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 250878189 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = k. Let u(n) = 14635*n. Determine u(j(s)).\nAnswer: 14635*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*f**3\/3 - 279*f**2 + 3778*f - 10472\/3 = 0. What is f?\nAnswer: -44, 1, 238\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express i**3 - i**3 + i**3 + 54*i**3 - 24*i**3 + 40*i**3 + (-i**2 - 3*i**2 + 2*i**2)*(0*i - 4*i + 3*i) as s*i**2 + b + f*i**3 + w*i and give f.\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 3 + 23 + -28\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (16 - (1 + 17))\/((-6)\/(-27)*1)?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 t and 3 l when four letters picked without replacement from {s: 1, l: 8, t: 2, v: 2, z: 1}.\nAnswer: 16\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -i - 5*v + 1, 19 = -2*i + 6*i + 5*v. Calculate the smallest common multiple of 39 and i.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 41*g - 34041 - 2736. What are the prime factors of g?\nAnswer: 3, 13, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:59 PM and 10:05 PM?\nAnswer: 366","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 6559677?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -6 - 114645?\nAnswer: -114652","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*h**3 + 388*h**2 - 388*h**2.\nAnswer: -8*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, -1\/6, 2\/15, 3\/268, -3\/71 in descending order.\nAnswer: 5, 2\/15, 3\/268, -3\/71, -1\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -30345413 (base 6) in base 12?\nAnswer: -35b269","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) = 9*k**3 - 57*k**2 - k - 15. Let f(n) = 4*n**3 - 27*n**2 - n - 5. What is -5*f(g) + 2*v(g)?\nAnswer: -2*g**3 + 21*g**2 + 3*g - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (9\/(-12))\/(-11 - (-7475)\/676).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -8d1e50 + 1?\nAnswer: -8d1e4e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -50898 + 25451 - 35*f**2 + 25448.\nAnswer: -35*f**2 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide 118 by -13775.\nAnswer: -118\/13775","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 439*n**5*s**2 - 1583*n**4*s**2 + n**2*s + 1079*n**2 + 197*n*s**2 wrt n?\nAnswer: 26340*n**2*s**2 - 37992*n*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (183 - 75 + 64)*(p**2 - 5 + 5)*(-p**3 - 3*p**3 + 3*p**3).\nAnswer: -172*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4512.7 - -3789. Let y = 687 + p. What is y rounded to the nearest integer?\nAnswer: -37","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(c) be the third derivative of 4*c**7\/315 - c**6\/18 + c**5\/10 - 7*c**4\/72 + c**3\/18 + 6*c**2. Solve d(f) = 0.\nAnswer: 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 68 - 146. Suppose -9 = -0*a - 2*a - r, -21 = -4*a - 5*r. Calculate the remainder when 36 is divided by a*(q\/(-8))\/3.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -249*i**2 + i + 248*i**2 + i - 6*i**4 + i**3 + 2*i**4 in the form t*i**2 + d + f*i**3 + l*i**4 + a*i and give a.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 38\/1*8 + 4\/2. Let w(p) = -d + 306 + 7*p**2. Let o(j) = -2*j + 2*j - 9*j + 7*j. Give o(w(z)).\nAnswer: -14*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1373927097 to the nearest integer?\nAnswer: 1112","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -117*x**4\/4 - x**3 + 32*x - 49. Find the third derivative of m(q) wrt q.\nAnswer: -702","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 102154601 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 470733 is divided by 144.\nAnswer: 141","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*h**3 + 2*h**4 + 21*h**2 - 2 + 0*h**4 - 13*h**2 + 0 in the form x*h**4 + w*h + n + b*h**3 + k*h**2 and give n.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/z**1*z)**(-1\/22))**33*(z*z*z**(3\/4)*z\/((z\/(z**(-1)*z))\/z*z))\/(z\/(z*(((z*z**0)\/z)\/z*z)\/z))**(-42) assuming z is positive.\nAnswer: z**(173\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30 divided by -8.\nAnswer: -15\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*((sqrt(156) - (sqrt(156) - (-1*sqrt(156) - sqrt(156)))) + sqrt(156))*-3)\/(sqrt(432)*-1 - sqrt(12) - -2*sqrt(12)*2).\nAnswer: 2*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xyydxxxoxrrx. Give prob of sequence dy.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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: Let s(c) = 17*c**2 - 2*c - 10. Calculate the remainder when s(-3) is divided by 335\/(-134) - 107\/(-2).\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2432 and 452656?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__gcd_test"},"subset":"dm_maths"} +{"text":"Question: Let p = -70.13 + 70. Sort -0.3, p, 1, 7, 1\/2.\nAnswer: -0.3, p, 1\/2, 1, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.064876919 minus -14.8?\nAnswer: 14.864876919","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3794 is divided by 273?\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p = o + 7, -4*o - 2*p = 2*p + 4. Suppose 0 = -2*g - 5*n + 19, -g + o*n = -n - 37. 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: Let c(g) = -2*g - 57. Let b(q) = -8*q - 171. Let l(a) = -3*b(a) + 8*c(a). Let j be l(-5). Let h be (-34)\/((-4)\/2 + 0). Is j not equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 21674 is divided by 1078?\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*-4*-2*sqrt(104))\/((sqrt(800) + sqrt(800) + -4*sqrt(800))*-1) + 0.\nAnswer: 6*sqrt(13)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -2\/5 (b) -1\/3 (c) 3\/10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 17184.\nAnswer: 2, 3, 179","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -71042 + 71041.6. Let t = 1 + -2. Let k = t + 1.5. Sort k, i, 1\/7 in increasing order.\nAnswer: i, 1\/7, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-25280)\/(-4) + 16\/(-8). What is h rounded to the nearest one hundred?\nAnswer: 6300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(112) + 4 - sqrt(7)*1*2 - (-4 + sqrt(7)*2 + 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -828*u**3 + 1637*u**3 - 811*u**3.\nAnswer: -2*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 66\/(-14) + 18\/(-63). Are b and -6 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*g**2 - 67 - 59 + 250 + 6*g**2 - 60 - 60.\nAnswer: -2*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express (-253*i**2 + 136*i**2 - 35 + 137*i**2)*(-1 + 2*i**2 + 1) in the form y*i**3 + q + a*i**4 + t*i**2 + x*i and give a.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from iiiiiiiiixiiiii. Give prob of picking 2 x.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-11 + 14 + 4 + 21)*(-31 + 5 - 7)*(0*z - z - 24*z) to f + l*z and give l.\nAnswer: 23100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n - 1798 + 438 = -3*g, -5*g = -n - 2274. Is g a multiple of 27?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r - 5 = -3*j, j + 0 = -4*r - 5. Suppose -2*u = -4*u + 10. Differentiate 4*i**3 - 1 + 4*i**j - u*i**3 with respect to i.\nAnswer: 9*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -41\/199 and 24\/7141.\nAnswer: 1421059","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 636235 to the power of 1\/5, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 18144581 and 102014.\nAnswer: 399180782","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 2*y. Let f be n(6). Let d(t) = -t + 6. Let s(o) = o - 7. Let l(x) = 3*d(x) + 4*s(x). Let g be l(f). Which is smaller: g or 11\/6?\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u**(-5\/7)\/(u\/((u\/u**(-12\/7))\/u)))**21\/((u\/((((u*(u\/(u\/((u*u**(-9))\/u)))\/u)\/u*u)\/u)\/u)*u**8)\/(u**(-3)\/u**(8\/3))) assuming u is positive.\nAnswer: u**(-77\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 take away 0.139?\nAnswer: -4.139","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 44626140 and 14875380.\nAnswer: 44626140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 33095?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 220*r**3 + 413165*r**2 + 193988010*r + 4408605 = 0 for r.\nAnswer: -939, -1\/44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -961 + 1010 + (-1 - 12)?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (7*r**2 - 2*r**2 + 4*r**2 + 0 + 0 - r**2 + (-3 - 2*r + 3)*(-4*r + 2*r + 3*r))*(-52460 + 191*r + 52460) to u + g*r**3 + d*r + w*r**2 and give g.\nAnswer: 1146","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -249 + 552. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 62398, 124781, 187150, 249499, 311822, 374113, 436366, 498575?\nAnswer: 560734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -141619, -283240, -424865, -566494, -708127, -849764?\n\"Answer: -2*w**2 - 141615*w - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -0.3, 35\/3, -3\/2, -12, -13?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-8)\/(-52) - 58\/(-130). Sort 1, -4, v.\nAnswer: -4, v, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*w**2 - 41*w + 41*w + 213*w**2 + (3*w - 3*w - 2*w)*(w + 3*w - 2*w) in the form l*w**2 + y + s*w and give l.\nAnswer: 221","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 91220772 to the nearest integer?\nAnswer: 450","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 123*d**2*g**2 + 2*d*g**2 - 2*d*g - 2*g**2 wrt d.\nAnswer: 246*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -61, -51, -43, -37, -33, -31?\n\"Answer: -o**2 + 13*o - 73","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -79*p = 298*p - 140*p + 3555 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 29762.2 * 1\nAnswer: 29762.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 15801, 15822, 15857, 15906?\nAnswer: 15969","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = -2*b**3 + b**2 + 31*b + 5. Determine l(6).\nAnswer: -205","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = -12*q**2 - 4*q + 5. Let t(y) = y**2 + y - 1. Calculate 5*t(z) + u(z).\nAnswer: -7*z**2 + z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = -b**3 - 32*b**2 - 51*b - 103. Let q be w(-32). Calculate the highest common factor of q and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.4128 and -5.\nAnswer: 2.064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 3, y: 5}?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 240319 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(n) = 3*n + 38. Give i(-12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -20190 divided by 118\nAnswer: -10095\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*((sqrt(175)*1)**2 + sqrt(175) - sqrt(175))*-6.\nAnswer: -3150","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -95848, -191694, -287540, -383386, -479232, -575078?\nAnswer: -670924","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -48\/109 and 17\/545.\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -m**2 - 83*m + 67*m + 16*m.\nAnswer: -m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 203276?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1825240 and 70.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3590*b**4 - 56537 with respect to b.\nAnswer: -14360*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 762661 to the power of 1\/4, to the nearest integer?\nAnswer: 30","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(sqrt(132) - sqrt(132)*1 - sqrt(132) - sqrt(132))\/sqrt(4))\/((sqrt(44) + sqrt(264)\/(sqrt(24)\/sqrt(4)))\/sqrt(4)).\nAnswer: -5*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 - (-14 + 9 - -6)\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = 87*f - 16. Let b(q) = 196*q - 36. Let l(x) = -4*b(x) + 9*g(x). Let m(u) be the third derivative of 3*u**5\/20 - u**4\/12 - u**2. What is m(l(a))?\nAnswer: 9*a**2 + 2*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-11 - (114 + -18)) + (39 - 13)?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 76759, -2\/7, -1\/35, -5?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = g**2 - 3*g - 2. Calculate d(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(y) = -y**3 - 6*y**2 + 26*y + 19. Let i be h(-9). Suppose 0 = 5*j + 20, 27*w + 538 = i*w + 4*j. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in -52\/5, -2306, -0.35?\nAnswer: -0.35","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83804 is divided by 911.\nAnswer: 903","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 0.1 (b) -0.6 (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 675 and 350.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 35336549 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -28 = 10*x - 3*x. Sort x, 5, 4 in descending order.\nAnswer: 5, 4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 59\/170229 and 19\/6.\nAnswer: 340458","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r = 3*r - 45. Is 9 <= r?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 145a (base 11) to base 15\nAnswer: 855","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 100534491539 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4.1 - -2.2. Let d = -1482 - -1487. What is the fourth biggest value in 0, 3, d, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -1132, -2256, -3378, -4498, -5616, -6732?\n\"Answer: o**2 - 1127*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 6, t: 6}. Give prob of picking 2 t and 2 d.\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 403133 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1.37 or 0.12?\nAnswer: 0.12","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -73791*g**3*w + 34695*w - 1 wrt g.\nAnswer: -221373*g**2*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*c + 4*b - 3*b + 687993 = 0, 0 = -c + 3*b + 343994. Is c a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4223 is divided by 226?\nAnswer: 155","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-3*sqrt(459))\/sqrt(3) + -4.\nAnswer: -18*sqrt(17) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-24)\/20)\/(30\/(-100)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of (-66)\/(-560) - ((-160)\/(-28) + -6) and -73\/4.\nAnswer: 280","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1098981?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 5*u + 58 = 0, -6*u = -4*j - 2*u + 64. Suppose 8*i - 19 = -j. Do i and -8\/11 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 h when three letters picked without replacement from ahiihahihih?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 g and 1 v when three letters picked without replacement from {v: 4, q: 1, g: 3, i: 1, m: 2}?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 5 + 9. What are the prime factors of 428\/o + 12\/28?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -11*r**3 - 8*r**2 - 10*r - 3. Let i be a(-1). Let n(v) = 4*v + 3. Let w be n(3). Calculate the highest common divisor of i and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 342 - -102?\nAnswer: 444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147*a**3 + 594*a**2 + 465*a + 18 = 0. Calculate a.\nAnswer: -3, -1, -2\/49","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -136 (base 7) to base 10\nAnswer: -76","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-26)\/(-12)*18\/(-9) - -3. Let x = 0.023 - 4.903. Let z = -0.12 + x. What is the second smallest value in f, 0.4, z?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 43\/474 and -11\/316.\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -10 + (74 - 76) + (17 - -1)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a - 45 = -5*a. Suppose 11*p = 9*p - 18. Let h = a + p. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -17 + 0 + (-14069 - -14016).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -8 + 11. Let f(h) = -2*h - 4 + 0 - h**q - 3*h**2 + 2*h. Let b be (-32)\/(-8)*6\/(-8). Calculate f(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/4? (a) 5 (b) 2\/3 (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 5 = w + 1, -3*w - 13 = 5*f. Solve -5 = w*g - 8*g + 3*z, 7 = g + 5*z for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -61*g = 58 + 186 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(-25)*(-27)\/((-1107)\/(-2255)).\nAnswer: 11\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 13 + -2212231210?\nAnswer: -2212231131","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = -5*s + 2. Suppose s = 3*r - 3. Solve d = l - 6, -5 = -r*l + d + 2 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven halves of a millimeter in micrometers?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9168 is divided by 113?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of -6 + 36*h + 4\/3*h**3 + 12*h**2. Factor r(f).\nAnswer: 4*(f + 3)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 922385, 922347, 922309, 922271, 922233?\nAnswer: 922195","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = -30*p**2 - 27*p - 112. Calculate c(-3).\nAnswer: -301","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-7)\/(112\/(-962)) - (-2)\/(-16). Calculate the highest common divisor of b and 1100.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 44\/2 - (1 - -1). Solve -x = 4*x + q for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 74.87982 millilitres to litres.\nAnswer: 0.07487982","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m**3 - 93*m**2 - 26728*m + 710700 = 0. Calculate m.\nAnswer: -138, 25, 206","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*y - 5*x, 30*y - 4*x = 35*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 2 + (0 + 4 + 2)*(1 - 1 - 1))*(2*c - 24 - c + 26 + 41*c**2).\nAnswer: -205*c**2 - 5*c - 10","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose u**3 - 9*u**2 + 26*u - 24 = 0. What is u?\nAnswer: 2, 3, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 32232 or 6220662\/193?\nAnswer: 6220662\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 12187476.\nAnswer: 2, 3, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q, 1 d, and 1 m when three letters picked without replacement from ddmdqmmdq.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -3*v - 7. Let x be t(-3). Suppose -7*o + 150 = -x*o. Let m = -27 + o. Solve 1 = -4*c - m for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 53.3175 micrometers?\nAnswer: 53317.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 4 less than 2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 611 minutes before 8:24 AM?\nAnswer: 10:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*z - 3*b + 4 = -6, -25 = 5*b. Suppose -5*g - z*t - 4 = -4*t, 1 = 2*g + 3*t. Is g + (56 - 2\/1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 16.3 - 18.8. Let v = j - -3. Which is the fourth biggest value? (a) -3\/5 (b) v (c) -2\/3 (d) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:34 AM and 11:55 AM?\nAnswer: 321","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j**(-1)\/(j\/j**(2\/7)*j*j)*j\/j**3*j**(-3\/5)*j assuming j is positive.\nAnswer: j**(-186\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 3*c + 2. Let t(b) = b**2 + 6*b - 5. Let g be t(-7). Let a be v(g). What is the units digit of 1\/(-4) + 18\/a?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 778 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = 3*t**2 + 9*t + 1. Let x be h(-6). Let s = x - 30. Let i(n) = s*n**2 - n - 8*n**2 + 1 - 18*n**2. Determine i(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -94325, -93147, -91183, -88433, -84897, -80575?\n\"Answer: 393*p**2 - p - 94717","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) be the first derivative of -138*s**5\/5 + 2*s**3\/3 - 23*s**2\/2 + 55. What is the third derivative of j(f) wrt f?\nAnswer: -3312*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-8)\/(-1 - 1) - 7. What is the closest to 0.1 in 2\/17, -0.4, x, 5?\nAnswer: 2\/17","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000010646004611 rounded to seven decimal places?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 134 + -355. Let c = r + 367. Let f = c - 146.000178. Round f to 5 dps.\nAnswer: -0.00018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3 + 8. Put -1, c, 0 in decreasing order.\nAnswer: c, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 37, -1, 6 in increasing order.\nAnswer: -1, 6, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) be the second derivative of f**5\/5 + 17*f**4\/3 + 48*f**3 - 15*f + 9. Solve c(t) = 0 for t.\nAnswer: -9, -8, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 727519816.\nAnswer: 2, 349, 260573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 8:46 AM?\nAnswer: 6:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 203 = 5*f, 7*q = -3*f + 4*q - 105. Let m be 88 + ((-2)\/(-14) - f\/21). What is the highest common divisor of m and 225?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -145722 and -10.19.\nAnswer: 1484907.18","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-78)\/(-4)*20\/30. Let f = g + 2. Calculate the highest common divisor of f and 135.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89 = -2*p + 93 for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (12\/165*123)\/(14\/(-35)). Is -21 <= z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 515307 to the power of 1\/3, to the nearest integer?\nAnswer: 80","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1564681\/60 + 26080. Find the common denominator of n and ((-30)\/(-2))\/((-4)\/(-6)*33).\nAnswer: 660","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 71039 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let s(v) be the first derivative of 5*v**2\/2 + 183*v + 11. Let j be s(-37). Which is the fourth smallest value? (a) 1\/2 (b) j (c) -5 (d) 1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.3 bigger than 170\/209?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -42089 - -42088.58. Suppose z + 5 = 2*z, -2*u = 2*z - 20. Let q = u - 11\/2. Which is smaller: q or l?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*-86.7.\nAnswer: -346.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q - 3*q - 3*g + 8 = 0, -3*q + 4*g - 22 = 0. Let f be q\/10 + (-1345)\/150. Let w = f + 17\/2. Which is the third smallest value? (a) -1\/8 (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f\/((f*f**(-22)\/f)\/f))\/(f*(f*f**(-24))\/f))**27 assuming f is positive.\nAnswer: f**1269","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let u(q) = q**3 - 6*q**2 + 2*q - 7. Let v be u(6). Let c(n) = -n**2 + 4*n - 1. Let d be c(v). Let l be (-1*1)\/(16\/d). What is the smallest value in 5\/2, l, 2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -4971 != -4981?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in fifty-one quarters of a day?\nAnswer: 18360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-66)\/165*(10\/8)\/1.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - -6) + -31 + 15?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l*l*l**16*l*l**(2\/13)\/l)\/(l*l**(-10)*l)**(-8))**(-11\/5) assuming l is positive.\nAnswer: l**(6556\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from rrrrrgrbbrrrbb. What is prob of picking 2 b and 1 r?\nAnswer: 27\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -100*r + 1376 - 677 - 699.\nAnswer: -100*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -49.9 - -54.96. Let x = -0.06 + o. Which is the second biggest value? (a) 1 (b) -1\/7 (c) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 2*m - 4*l + 40, -2*m - l - 16 = 0. Let w = m - -12. Let a = w - -3. Let h(o) = o**2 - 5*o - 1. What is h(a)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -241*g + 1. Let u be b(1). Let r = u - -240. Solve -3*k + 15 = 5*x - 25, r = 2*k + 4*x - 30 for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 7 + -5. Let f(i) = -i**3 + 21*i**2 - 9*i + 26. Let k be f(10). Suppose 0 = 6*z - a*z - k. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 65040 < -3069?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-329)\/(-35) + -9)\/((-8)\/(-5)). What is the third biggest value in 5, u, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 32268557 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(q) be the second derivative of -q**7\/840 - q**6\/72 - q**4\/8 + 7*q**3\/6 + 26*q. Let w(r) be the second derivative of t(r). Calculate w(-5).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-5 + -3*sqrt(1573) + sqrt(1573) - sqrt(1573))*3)**2 - -3*-1*((sqrt(637) + 1)**2 + sqrt(637)).\nAnswer: 2907*sqrt(13) + 125724","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -128 divided by 6?\nAnswer: -64\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: (1*40\/(-250))\/(2\/(-5))\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 1 + sqrt(1539) + 3 + 4 + 5 + (sqrt(57)\/sqrt(3)*2 + -4)**2 + ((sqrt(152) + (sqrt(152) - sqrt(152)*1))*-4)\/sqrt(8).\nAnswer: -11*sqrt(19) + 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - ((1 - 3) + 10 + -45)?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 91 and 208520.\nAnswer: 1459640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) be the first derivative of -2*j**5\/5 + 8*j**3\/3 - 5. Find the third derivative of o(r) wrt r.\nAnswer: -48*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -13, 1697, -0.004?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(k) be the first derivative of 423*k**4\/4 + 3*k**2\/2 + 175*k + 741. Find the second derivative of p(m) wrt m.\nAnswer: 2538*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 272880252*c - 234025908 wrt c?\nAnswer: 272880252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-28)\/(-35)*590\/4?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**3\/19 + 4946*q**2\/19 - 9898*q\/19 + 4950\/19.\nAnswer: 2*(q - 1)**2*(q + 2475)\/19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 115753\/274 or 421?\nAnswer: 115753\/274","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -89 - 11?\nAnswer: -9a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 21649302 to the power of 1\/2, to the nearest integer?\nAnswer: 4653","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 3\/2, -57\/26, 19\/4, 56?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 17077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10455?\nAnswer: 3, 5, 17, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 21355000 a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 3*h - 27 = 0, -4*r + 2*h + 17 = 3*h. Suppose z = 2 - 4, z = -a - r. Is 2\/55 at most a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 12\/(-12) - -62 - 12. Calculate the highest common factor of 217 and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 56*d + 52*d - 405 = 0, -2*z + 5*d = -145. What is the highest common divisor of z and 4131?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 462, 462, 464, 468, 474, 482, 492?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -25170*b - 61697*b - 46284*b.\nAnswer: -133151*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3364085, 6728129, 10092173?\n\"Answer: 3364044*v + 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -89\/315 and 161\/33097410?\nAnswer: 231681870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-1 + 17)) + -2 + 116.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -27*m**2 + 1464*m - 323. Determine f(54).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**(-18)*((a*(a**(5\/16)*a)\/a)\/a)\/a assuming a is positive.\nAnswer: a**(-299\/16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*p**5 + 39807*p**4 + 131750664*p**3 - 1985865012*p**2 - 2117575872*p = 0.\nAnswer: -6642, -1, 0, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*b - 3*b - 4. Suppose 0 = -3*u - b*l + 215, -3*u - 2*u = 2*l - 353. Let n = u + -29. Is 17 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cagwgw. What is prob of picking 2 w and 1 c?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 4, f: 6, d: 2, h: 4, e: 1}. What is prob of picking 2 g?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -275*z - 2746. Let t be u(-10). Let v(r) be the third derivative of -1\/12*r**5 + 0*r + 27*r**2 - 5\/8*r**t + 0 + 0*r**3. Factor v(h).\nAnswer: -5*h*(h + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 15 and 3474195?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: 2\/9 - (26\/(-72))\/13\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4.21229 + -2550795.\nAnswer: -2550799.21229","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 20.2 + -20.19854. What is j rounded to 4 dps?\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -105*l - 24 = -113*l, l + 1 = -b + 3*l for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 58\/(-20) - (-126 + 123). What is the closest to 0.6 in -10, -4, 4, j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(y) = -13*y + 139. Let r be v(11). Suppose 2*g - 90 = -g. Let n = r + g. Is 8 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3\/(-15)*(-3)\/18)\/(68\/(-408))\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*n + 5*w + 1745, n = -0*n - 4*w + 364. Calculate the highest common divisor of 16 and n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.092 + -29.908. Let i = f + 36. What is the second biggest value in i, 4, 0?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -238063\/18 - -13232. Find the common denominator of k and 19\/201.\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and 125?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4 + sqrt(48)\/sqrt(4) + (sqrt(12) - (sqrt(1200) + -1*sqrt(1200))**2).\nAnswer: -4 + 4*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = 35*i + 58. Let g(d) = -31*d - 69. Let s(h) = 4*f(h) + 3*g(h). Let a(r) = -12*r - 6. Give -9*a(y) - 2*s(y).\nAnswer: 14*y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 2, g: 1, s: 12, p: 1, e: 1}. What is prob of sequence ps?\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:11 PM and 7:30 AM?\nAnswer: 559","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (6*-1*sqrt(7) + sqrt(7))**2*-3.\nAnswer: -525","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 3013 - 3000. Solve 144 = -x*a - 11*a for a.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -270267 and 237.\nAnswer: -270030","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 2568, 5135, 7702, 10269, 12836, 15403?\nAnswer: 17970","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -126*n + 9*n + 2*n - 11 + 10.\nAnswer: -115*n - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 58240\/1300*110\/77.\nAnswer: 64","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 5525245.03 to the nearest 10000.\nAnswer: 5530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -251860 divided by 62965?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -1431 + 5?\nAnswer: -1424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 12, 0.3, -64\/3, 1\/6 in ascending order.\nAnswer: -64\/3, -2, 1\/6, 0.3, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = a + 13. Let i be j(-11). Suppose -i*c + 4*k + 2 = 18, 3*c - 4 = -k. Solve 3*h + 19 = 2*m, -4*h - m - 3*m + 8 = c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 240606053 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -b**2\/3 - 12255*b + 147108.\nAnswer: -(b - 12)*(b + 36777)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_test"},"subset":"dm_maths"} +{"text":"Question: What is (-2975)\/(-350)*(-4)\/(-153)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = 9*y**2 - 3*y + 5. Let v(o) be the third derivative of 30*o**2 + 4\/3*o**3 - 1\/6*o**4 + 7\/30*o**5 + 0*o + 0. Determine 8*i(w) - 5*v(w).\nAnswer: 2*w**2 - 4*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -6682 or 2396\/9?\nAnswer: -6682","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -5.975. Let s = 0.475 + v. What is the third smallest value in 1.8, s, -4\/3?\nAnswer: 1.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/(-1)*(-15 - 1474\/(-99)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -762 + 757. Let x(j) = -j**3 - 2*j**2 + 10*j + 4. Calculate x(o).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**2 - 1. Let w(x) = 5*x**2 - 1 - x**2 - x - 4. Let k = 69 - 67. Give k*w(z) - 9*q(z).\nAnswer: -z**2 - 2*z - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -i**3 + 3*i**2 - i + 1. Give m(1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 578 minutes before 2:13 PM?\nAnswer: 4:35 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 1\/10 of a micrometer?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 54159388 and 154692.\nAnswer: 487434492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = -q + 5. Let c = -27 - -27. Let m be p(c). Suppose -25 = z + 3*t - 6*t, -m*t - 65 = 5*z. Which is smaller: z or -18?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 305*q**2 - 15*q**2 + 130*q**2.\nAnswer: 420*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4671 + 14219\/3. Let q = 69 - m. What is the smallest value in 0.5, -0.5, q, -4?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from qevvvvqitviiqqtvqqv. Give prob of sequence ivtq.\nAnswer: 7\/2584","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -71 + (41 - -74) + (1 - 14)?\nAnswer: 31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.259*9.\nAnswer: -2.331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -4.494863521 to 3 dps.\nAnswer: -4.495","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2442*u - 2448*u = -6. Let i be (-85)\/((-3)\/u + 6 - 4). Suppose 2*a = a + 34. Calculate the highest common divisor of a and i.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3 and 9 - -11 - (3 - 1).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -3.61 - -19.91. Let x = -16 + o. Which is the nearest to -1? (a) 0.4 (b) 0 (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 678 minutes after 1:21 AM?\nAnswer: 12:39 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(t) = -406*t. Let s be n(-1). Let f(h) = s - 406 - 63*h. Let k(p) = 2*p. Calculate k(f(x)).\nAnswer: -126*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3.32 + 6.32. Sort 0.1, -6, l.\nAnswer: -6, 0.1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 119034681?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1051.7 - -1046.7. Put 2\/13, -1\/3, 2\/7, k, -1\/11 in decreasing order.\nAnswer: 2\/7, 2\/13, -1\/11, -1\/3, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -8303772*b**2*q + 7*b + 11308772*q wrt b.\nAnswer: -16607544*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in seven quarters of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 48512 to the nearest integer?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1764841.365 nanoseconds to weeks.\nAnswer: 0.0000000029180578125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -362*k - 10 = -364*k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 2287215 and 1605366?\nAnswer: 425421990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 11.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = w**2 - 5*w - 26. Determine g(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.076 + -0.476. Which is the closest to -0.2? (a) -0.02 (b) f (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13\/4 of a litre in millilitres?\nAnswer: 3250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -n - 32 = -5*o, 5*n - 2*n = 4*o - 19. Suppose 0 = 2*d - 138 + 18. Calculate the common denominator of 131\/o*35\/d and 101\/20.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + (15 + -22 - 3) + 22 + 5.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -3*f + 7 + 0 + 2*f + 5*f. Determine q(-3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -18*n**3 + 4*n**2 + 9*n + 5. Let s be m(-1). Solve -3*k + s = -5*l, 2*k + 6 = -3*l - 1 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*s*t**4 + 3*s*t**3 - 3*s*t**2 - 6*s*t - 8*t**4 + 5 wrt t?\nAnswer: -48*s*t + 18*s - 192*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*h - 42 = -30 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve i = -46*k - 20212 + 20116, 0 = -4*i - 3*k - 22 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 37 + -73. Let c = 19246647.000076 - 19246611. Let f = c + v. What is f rounded to 5 dps?\nAnswer: 0.00008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 484343*r. Let i(y) = -5*y**2. Determine i(h(c)).\nAnswer: -1172940708245*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = 16*o**2. Let v(l) = -7*l. Determine g(v(q)).\nAnswer: 784*q**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -259, -255, -249, -241, -231, -219, -205?\nAnswer: -189","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 16, d: 4}. Give prob of sequence bdbb.\nAnswer: 112\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(7) - (sqrt(7)*2)**2) + -3)*6.\nAnswer: -186 + 6*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t + 35 = -45. Let r be 3\/(2\/t*6). Solve -2*u - 2*u + r = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 187 = 28*o + 19. Solve 0*x - o = -2*x for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -741 - 743 = -7*p. What is the units digit of p?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3493448 (base 11) in base 7?\nAnswer: 102544135","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 4*m + 120. Suppose 3*i + 261 = -6*i. Let y be z(i). Solve -k = -v + 3, -v + y*v - 5*k - 15 = 0 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 3*l + 5*l**2 - 3 + 10*l - 10*l + 0*l**2 as x*l**2 + s + o*l and give o.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -663 or -1\/36?\nAnswer: -1\/36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) be the first derivative of -5*q**4\/4 - 40*q**3\/3 + 5*q**2\/2 + 40*q + 70. Factor k(s).\nAnswer: -5*(s - 1)*(s + 1)*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 55681 (base 11) to base 15\nAnswer: 18d85","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -149 + 226. What is the remainder when k is divided by 2\/(-5) + 856\/40?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(96))\/(-3*sqrt(192)).\nAnswer: -sqrt(2)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let i be -2*1\/4*-10. Suppose -97 = -j + 2*v, i*j = -3*v - 5 + 438. Does 24 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-5)\/((-33)\/12 + 3). Let z = s - -23. Solve -4*l + a = -2*l, 5*l - z*a = 2 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 48 - 46. Which is smaller: t or 16\/5?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 18\/5 of a milligram?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 345 minutes after 4:07 PM?\nAnswer: 9:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -1 + -4. Let w(k) = -k**2 - 4*k - 11. Let u(a) = 2*a**2 + 9*a + 21. Let f(z) = g*w(z) - 3*u(z). Calculate f(-6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 189 is divided by 86?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose b**5 + 71*b**4 + 333*b**3 + 193*b**2 - 334*b - 264 = 0. Calculate b.\nAnswer: -66, -4, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 80800.18 years?\nAnswer: 808.0018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 3?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -43.1 - -43. What is the nearest to -1\/3 in 1, 0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(y) = 16*y**2 + 25*y + 115. Is q(14) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 85154, 170351, 255548, 340745, 425942?\n\"Answer: 85197*k - 43","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10102 (base 4) in base 6?\nAnswer: 1134","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.1712144 to 4 decimal places.\nAnswer: 0.1712","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 20871066, 20871068, 20871070, 20871072, 20871074?\n\"Answer: 2*q + 20871064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 83669 a multiple of 255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:14 PM and 2:18 AM?\nAnswer: 304","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 23144795 a multiple of 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*v + v + 0*v)*(-1 + 1 + v) + (11*v + 4*v + 5*v)*(-2*v + 6*v - 2*v) + (3*v - v + v)*(7*v + 11*v - v).\nAnswer: 89*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be ((-237)\/6)\/((-3)\/6). Suppose -3*y + 0*y = 2*h - k, -5*y - 2*h + 129 = 0. Is 8 a factor of y?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 27606792?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1900*2.5.\nAnswer: -4750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.667 - 567.667. Let b = -567.0481 - g. Round b to two decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) 4 (c) -2\/13 (d) 1.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(35)\/(sqrt(20)\/sqrt(4))*5 + 0.\nAnswer: 5*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 698795 is divided by 1644?\nAnswer: 95","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 9160578?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-1340)\/3350)\/(2\/275).\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -143659*p*t*z**2 + 12*p*t*z + 244*p*z - 4*p + 2*z**2 - 8*z - 1 wrt t.\nAnswer: -143659*p*z**2 + 12*p*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -1273 - -27?\nAnswer: -124b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9059 + 9059 - 9*o + 5*o**3.\nAnswer: 5*o**3 - 9*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -11*k**2 + 330339 - 330339.\nAnswer: -11*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (10*(-108)\/3150)\/(-6).\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -222, -695, -1168, -1641, -2114?\nAnswer: -2587","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -219789, -439522, -659255?\nAnswer: -878988","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 106, 121, 148, 187?\nAnswer: 238","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 15\/(-111)*4\/(-10). Is f <= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 44273 to the power of 1\/10, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 6, m: 4, s: 4, p: 3}. Give prob of picking 1 s and 1 p.\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -728*v**3 + 24*v**2 - 13*v.\nAnswer: -4368","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -344.78034 rounded to the nearest 10?\nAnswer: -340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -11103, -22205, -33303, -44397?\nAnswer: -55487","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -j**3 - j**2 - 6*j + 26. Let m be t(0). Let h = 1 + -0.9. What is the second biggest value in m, 0.3, h?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 51222.48cm in micrometers?\nAnswer: 512224800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:42 PM and 9:46 AM?\nAnswer: 664","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 11? (a) 0.4 (b) -5\/3 (c) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12*y - 69*y + 114 = 0 for y.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3241, 2.1, 0.2, 4, 17.\nAnswer: -3241, 0.2, 2.1, 4, 17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-54351)\/(-27945))\/(-11) - (-4)\/30\nAnswer: -1\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -54393 + -1946.\nAnswer: -56339","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/(-15) + 177\/295 - 28\/33. Which is the fifth smallest value? (a) 0.3 (b) 4 (c) 0.02 (d) l (e) 9\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/(16\/(-28)) - 183\/(-27).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 1934 + -1063. Round g to the nearest 10.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 3 - -1. Suppose -10 = f*q + 22. Let y = 20 + q. Sort -1, -5, y in decreasing order.\nAnswer: y, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, 3, -855, -6 in decreasing order.\nAnswer: 3, 2, -3, -4, -6, -855","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21.3 + 21. Let i(v) be the first derivative of -v**3\/3 + 3*v**2\/2 - 2*v - 1. Let f be i(2). Which is the closest to 0? (a) f (b) r (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s - 161 = -f, f + 0*s - 185 = 5*s. Suppose -5*o - 5*i = f, 4*o - 9*o + 2*i - 177 = 0. List the prime factors of (-104)\/(-7) - 5\/o.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/474442864?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (20 + 28 - 34)*(112*y + 350*y - 62*y) + (4*y - 2*y - 4*y)*(-2 - 4 + 4).\nAnswer: 5604*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) be the first derivative of x**8\/168 - x**6\/60 - 21*x**2\/2 + 8. Let w(y) be the second derivative of h(y). Determine d so that w(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -1419*z + 140*z**3 - 3 + 21*z**2 - 20*z**2 + 1418*z - z**4 in the form y*z**2 + k*z + c*z**4 + i*z**3 + d and give k.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*v**3\/15 - 16*v**2\/5 + 1208*v\/15 + 1824\/5 = 0. What is v?\nAnswer: -38, -4, 18","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -1 + 8 + -8 + 11 + -3 + -11\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 12630 greater than or equal to 12650?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7448, 14336, 21224, 28112?\nAnswer: 35000","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 10062.7766 rounded to the nearest integer?\nAnswer: 10063","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (0*q - 7*q + 2*q)*(27*q - q**2 - 3942 + 2*q**2 + 3941) - 2*q**3 + 4*q**2 - 4*q**2 as b*q**3 + z + w*q + k*q**2 and give b.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.03306 to three decimal places.\nAnswer: 0.033","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5666*k**2 - 5768*k**2 + 11565*k**2.\nAnswer: 131*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -185, -549, -963, -1433, -1965, -2565, -3239?\n\"Answer: -f**3 - 19*f**2 - 300*f + 135","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 3 + -8. Let k = p + 22. Is 7 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 115.44288 to the nearest ten.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let v(c) = 6*c**4 - 26*c**3 - 8*c**2 + 26*c. Let w(u) = -u**4 + u**3 + 2*u**2 - u. Let h(y) = -v(y) - 2*w(y). What is r in h(r) = 0?\nAnswer: -1, 0, 1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put together 0.2 and 438.\nAnswer: 438.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/9 in 33, -0.1, 0.3, 1\/6, -147\/8?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-5 - 6) + 6 - 0.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 67397260?\nAnswer: 2, 5, 7, 481409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 48 + -29. Suppose 2*i + 180*n - 4 = 179*n, 3*n + 28 = 4*i. What is the remainder when y is divided by i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 399 minutes after 3:28 PM?\nAnswer: 10:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 6\/8 - (-132)\/(-48). Let a be 2 + g + (24 - 20). Solve 3*q = -2*b - 8, 20 = -a*b - b for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 3, 183, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -3 (b) 4 (c) -7 (d) 8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 19 - -15b489?\nAnswer: 15b4a4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 28*r**2 - 5*r**2 + 34*r + 24*r**2 + 5*r**2 wrt r?\nAnswer: 104","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j + 6 - 5 = 2*r, j = 5*r - 16. Solve 5*w - 8 = -3*c + j, -2*c + 6 = 2*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -222 + 216 - (6\/2 + -1) - -11\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 27692?\nAnswer: 2, 7, 23, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3113444 (base 8) to base 9.\nAnswer: -1486764","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o + 3*o - 8 = 0. Find g such that o*g - 2*g**3 + 51*g**4 - 49*g**4 - 2*g - 2*g**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 52124558.\nAnswer: 2, 983, 26513","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 19\/7? (a) -2 (b) -72 (c) -5 (d) 0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -3\/83120 and -107\/83120?\nAnswer: 83120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 2835 and 60?\nAnswer: 11340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rll when three letters picked without replacement from {l: 19, r: 1}.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 - 3*u + 6. Let j(w) = 2*w**2 + 3*w - 6. Let t(s) = -6*h(s) - 5*j(s). Let x be t(-5). Let c = x - 18. What is the units digit of c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 946 (base 13) in base 16?\nAnswer: 62b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 j and 1 h when three letters picked without replacement from {j: 3, h: 2}?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -2 + 2 + 4 + 0 - 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 54*w - 59*w = -4*u - 145, 0 = 5*u - 945*w + 949*w - 116 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1960951?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z + 2*x - 15 = 0, -x - 111 = -5*z + x. Let v(f) = f - 7*f**2 + 6*f**2 + z*f**2. What is the units digit of v(-1)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = -8*j - 20. What is t(-3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s(o) = -o**3 - 158*o**2 + 1162*o - 30. Give s(7).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 42, 0.4, -30, 2?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vxsvxyoxxysvvvxsxvxs. What is prob of sequence vyss?\nAnswer: 2\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 7921289 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) be the first derivative of 171*n**4\/4 - 3*n**2\/2 + 6*n - 132. Find the second derivative of t(z) wrt z.\nAnswer: 1026*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -147*r = -68*r - 59*r - 170320. Does 121 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -379.89 + 813.89. Which is the smallest value? (a) -5 (b) q (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 209 - 5. Let r = g + -193. What is the highest common divisor of 121 and r?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7030103981 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in fourty-three halves of a millennium?\nAnswer: 2150","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*t = -17*t + 780. Let v be 3\/(9\/t) + 0 + -2. Solve -4*w + i + v = 0, -w + 3*i + 19 = 2 for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jgbj when four letters picked without replacement from {j: 2, g: 2, b: 2}.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -7 + (-6786)\/27 - (-2)\/6. Let g = -166 - s. What is the remainder when g is divided by 39?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -17398*p. Let l(q) = 3040*q**2. Calculate x(l(v)).\nAnswer: -52889920*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 + -1 + (-20 + 21 - 26) + 45?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 475371 and 612.\nAnswer: 153","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.8707 and 8003.\nAnswer: 6968.2121","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y**2 - 40*y + 78. Calculate p(-42).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 30724030 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9636*z = -9751*z - 9430 for z.\nAnswer: -82","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: 7 (base 16) to base 12\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c + 130 = -5*j + 1, 2*c + 66 = -4*j. Let b = c + 99. Is 17 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-21)\/(-35))\/((-28)\/(-20)).\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -15377, -122291, -411917, -975431, -1904009, -3288827?\nAnswer: -5221061","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2558 + -6?\nAnswer: -2561","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m be ((-20)\/150)\/(1\/(-6))*215. Solve -169*k = -m*k for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p = 3*m - 8, 0 = -4*p - 0*m - m + 16 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -123 = -4*r - 151 for r.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 101?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3*s + 15 = 0, 15*s = -4*c - 47 - 1. Solve 0*q - 2*x = q + 10, c*q - 20 = 4*x for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 6*v - 5*v - 4. Let h be 6 - 5 - v\/((-12)\/9). Solve 0 = 2*b - h - 0 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((500\/45)\/5)\/2.\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*t**3\/5 + 126*t**2\/5 - 2646*t\/5 + 18522\/5.\nAnswer: -2*(t - 21)**3\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1320464549?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -11 - -7. Let s = -1\/162 + -641\/1134. Let m = 28783 + -28788. What is the closest to f in s, 1, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -2114221 - 0?\nAnswer: -2114221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express 101*g**2 - 81*g**2 + 76*g**2 + 101*g**2 as a*g**2 + s*g + m and give a.\nAnswer: 197","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 540 - 203. Suppose u = 4*j + 2*w - 3715, -5058 = -5*j + w. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(u) = -1425*u + 6665. What is o(5)?\nAnswer: -460","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.788984 - -0.011033. Let h = r - 0.8. What is h rounded to 5 dps?\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -755 - -129. Let y = 637 + s. Solve -y = -4*a - 3*j, 5*a = 5*j - 22 - 8 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -321443 - -672988. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from xssssfsxgxsnxnnssfn. What is prob of picking 2 x and 1 f?\nAnswer: 4\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is -11110 (base 2) in base 13?\nAnswer: -24","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: 3 times -0.699908\nAnswer: -2.099724","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = 0 - 1 - 2*m + m. Let r be g(0). Let t(q) = -6*q + 61. Let l be t(11). Sort l, r, -3 in ascending order.\nAnswer: l, -3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k - 5*a = 18, 2*k = -a - 65 + 67. Sort -5, k, 63 in ascending order.\nAnswer: -5, k, 63","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence szz when three letters picked without replacement from sssszzszzz.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gwg when three letters picked without replacement from ggwnggnngn.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-18 - 1)*(-1072)\/(-240). Let s = -401\/5 - j. Calculate the common denominator of s and 62\/9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 21021212202 - -1?\nAnswer: 21021212210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2\/15, -80, -0.06, 1\/2, 16 in descending order.\nAnswer: 16, 1\/2, 2\/15, -0.06, -80","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3565*b + 20036 = -30281 - 13528 - 28845 for b.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 603 and (-4)\/(-5 + (-45195)\/(-9045)).\nAnswer: 1206","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 80353?\nAnswer: 7, 13, 883","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 434340919 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 16, 40, 72, 106, 136, 156?\n\"Answer: -a**3 + 10*a**2 + a + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of -v**6\/6 + 4*v**3 + 11. Find the third derivative of b(k) wrt k.\nAnswer: -60*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2633 is divided by 5.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 2782, 2788, 2808, 2848, 2914, 3012, 3148?\nAnswer: 3328","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 0.03, -5, -2\/19, 0.1?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = -2*z. Suppose c + 2*h - 36 = z, -2*c + 2*h = h - 97. Let k = -10 + c. List the prime factors of k.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*t**2 + 5*t**2 + 187*t - 12*t**2 - 385*t + 6*t**2 + 198*t.\nAnswer: t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1062678883 to the nearest integer?\nAnswer: 32599","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*l**3 - 2*l**3 - l**3 + (-l - 1 + 1)*(-2 + l**2 + 2) - 3*l**3 + l**3 + 3*l**3 + (3 - 3 - l)*(-7*l**2 + 2*l**2 - 3*l**2).\nAnswer: 7*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 89\/10860 and 37\/53214?\nAnswer: 532140","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 1\/2 (b) 0.37 (c) 6\/11 (d) 4 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-46)\/138 + 20\/6 + -1. Let p be (-3)\/4*2\/(-3). Let 1\/6 + 1\/2*t**g - 1\/6*t**3 - p*t = 0. What is t?\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4*y**2 + y**2 - y**2.\nAnswer: 4*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 0.1 - -7.9. Let f be (7800\/500)\/39*-2*10\/(-2). What is the nearest to -0.2 in 2\/7, f, a?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*m + 50*m - 154 = 0. Suppose -5*g + 1377 = m. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 622*s - 1208*s + 587*s.\nAnswer: s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = p - 2, -24 = -5*d - 3*p + 6*p. Let f(g) = 3*g**2 + 11*g - 19. Let i(u) = -u**2 - 6*u + 9. Let z(s) = d*f(s) + 15*i(s). Factor z(w).\nAnswer: 3*(w - 7)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -341 + 55 = -2*a. Suppose 4*k = 6*k - 4. Suppose -5*r + 5*t = -85, -4*r - k*t + 32 = 3*t. What is the greatest common factor of r and a?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 197 + -218 + -1 + 24?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12)\/40*(-24)\/9.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -381857 - -2?\nAnswer: -381855","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 2887 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: Let n = 14 - 13.5. Let d = -1003 + 3008\/3. Which is the nearest to d? (a) -2\/3 (b) 2 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6 - -5)*(-20)\/(-35)*(-680)\/544?\nAnswer: -55\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17140134457 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -25 + 27. Suppose 3*u - 17 = -2*n, 0 = 3*u - t*n - 0 - 1. What is the highest common factor of u and 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 58*h. Let p(j) = 103*j**2 - 4*j. Calculate n(p(y)).\nAnswer: 5974*y**2 - 232*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = l + 3. Let k be (-9 + 4\/4)*1. Let y be s(k). What is the third biggest value in y, 0.4, 1\/3?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:26 AM and 8:56 PM?\nAnswer: 630","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n(j) = 5*j**2 + 12*j - 5. Calculate the remainder when n(3) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = 14*r**3 + 6*r**2 - 23*r - 6. Let x(g) = -g**3 - g**2 + 1. What is -m(h) - 6*x(h)?\nAnswer: -8*h**3 + 23*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*x + 2 = x. Let p(t) = t**2 + t + 1. Let s(j) = -j**2 - 3*j - 3. Calculate x*s(d) + 6*p(d).\nAnswer: 4*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-338 - -275) + (2 - 18 - -11) + -1 + 13?\nAnswer: -56","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*s + 11 = 0, 2*v = v - s + 8. Let t(m) = -2*m**2 - 71*m + 84. Let h be t(-35). Let o = -116 + h. Calculate the highest common factor of v and o.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x, given that -5*x**4\/3 + 60*x**3 + 2155*x**2\/3 - 5490*x - 40040\/3 = 0.\nAnswer: -13, -2, 7, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(v) = -v**3 - 13*v**2 + 15*v + 18. Let d be j(-14). Let z(y) = y + 1. Let q be z(0). Let g(i) = i + 1. Let a(s) = -2*s - 2. What is d*g(c) + q*a(c)?\nAnswer: 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0.0497 + -0.0497287. What is t rounded to six dps?\nAnswer: -0.000029","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -958767*u = -958977*u - 11340 for u.\nAnswer: -54","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 49 + -49.116. Let g = k - 47.884. Let u = g + 42. What is the biggest value in -2\/7, u, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*k + 12 - 6 - 7)*(3 + 2 - 6 + 1 - 1 + 1 + (2 + 0 + 0)*(0 - 2 + 1) + 3 - 2 - 2 + 1 - 5 + 3 - 3 + 1 + 0).\nAnswer: -24*k + 6","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 times 1656\nAnswer: -331.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f be -5 - (36\/3)\/(-4). What is the tens digit of 0 + (18 - 2 - 4\/f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -38 at least 7?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Put together -0.0289 and 46273.\nAnswer: 46272.9711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -92507 + 185014 + 2*i - 92507.\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26*q + 9*q - 31*q.\nAnswer: 4*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 - (5 + -3 + 0).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 629*n + 3*m = 625*n + 1, 4*n = -5*m - 1 for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/12*10098\/(-1683)\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide -20208 by -3.\nAnswer: 6736","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1365214 and 17.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -7*m**3 - 23*m**2 - 11*m + 38. Let t(u) = -10*u**3 - 32*u**2 - 15*u + 57. Determine 7*h(x) - 5*t(x).\nAnswer: x**3 - x**2 - 2*x - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 11:58 AM?\nAnswer: 4:08 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert -40 (base 5) to base 10.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-551 + 1097 - 408)*(-2 + 2 - 2)*(-8 + 8 - 3*w) as j + l*w and give j.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 4407307 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) = a**3 - a**2 - 1. Let w(n) = 21*n**3 + 38*n**2 + 2. Let p(x) = 2*o(x) + w(x). What is the third derivative of p(t) wrt t?\nAnswer: 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -4*c**3 - 124*c**2 - 236*c - 106. Let q(t) = 20*t**3 + 620*t**2 + 1180*t + 525. Let g(s) = -11*n(s) - 2*q(s). Factor g(a).\nAnswer: 4*(a + 1)**2*(a + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 1 + -9. Is (-2)\/(-8) - 118\/p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (-18)\/24 - -46*2\/16. Solve -n = -2*w - 11 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -6 - (23 + -1 + -25).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-255)\/(-153)*(-24)\/(-10). Let y be 16\/(-6)*165\/(-2). Suppose -v*j = j - y. Calculate the remainder when j is divided by 15.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 772\/7 in -1587, -5, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 + l**3 + 5*l**3 - 690*l + 695*l as s*l**2 + w*l**3 + r + q*l and give r.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 2 + 4. Solve 11 = s - 4*l + x*l, -3*s = -2*l - 21 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1418 by 2.\nAnswer: -709","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 8613 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-171 - 10*p + 171)*(7 + p - 7).\nAnswer: -10*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 101449 to the power of 1\/2, to the nearest integer?\nAnswer: 319","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g - 98 = -0*g. Let w be 58\/14 + 7\/g. What is the highest common divisor of w and 44?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9719 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 52 and 4498?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -o**5 + 31*o**5 - 3*o**5 - 2*o**5 + 2*o**5 + 2*o**5 + (-9*o - 2*o - o)*(-o**4 - 1 + 1).\nAnswer: 41*o**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 350 a factor of 260400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 2) to base 12\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -51*p - 447 - 125 = 193 for p.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 1698550 to the power of 1\/3, to the nearest integer?\nAnswer: 119","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 5 (b) -6 (c) 36\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Sort -131, 98, -1, 5 in ascending order.\nAnswer: -131, -1, 5, 98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -8220\/29 or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 3 + -2 + 1*(-2063)\/(-1). Suppose 0 = -4*r - 4*r + a. List the prime factors of r.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9176 divided by 74.\nAnswer: 124","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -198 + 252. Let g = -109 + 244. What is the highest common factor of a and g?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*v**2 + 0*v**2 - 3*v**2)*(5*v + 2*v - 2*v) - 38*v**3 - 36*v**3 + 20*v**3.\nAnswer: -59*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 119\/3*h - 26 - 14*h**2 + 1\/3*h**3 = 0. What is h?\nAnswer: 1, 2, 39","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*o + 14*g = 10*g + 160, -o - 3*g - 13 = 0. Suppose k = -r - 57, 0 = 3*r + 2*r + 25. Let h = o - k. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 4\/(-6)*(-13 - 2). Let t(w) = 4*w + 13*w**2 + d*w**2 - 3 - 18*w**2. Let m(x) = x**2 + x - 1. Determine -4*m(z) + t(z).\nAnswer: z**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-1)\/((-33)\/22))\/(2\/(-9))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 669 minutes after 6:07 PM?\nAnswer: 5:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = -2*w - 18. Let c be u(14). Is 231\/14*c\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) be the second derivative of 0 - 2*q + 1\/20*q**5 - 1\/2*q**3 + 0*q**4 + 0*q**2. Find the second derivative of a(m) wrt m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1455334510.\nAnswer: 2, 5, 7, 397, 52369","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 - 19 = -z. What are the prime factors of z?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = 2*n**2 - 4*n. What is v(-4)?\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = z**2 + 12*z + 11. Let f be u(-8). Let g = 53 - f. Does 15 divide g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 19887103 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 381612\/(-15281) - 8\/296.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(n) = -2*n**3 + 25*n**2 - 26*n - 4. Does 20 divide b(9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9879 is divided by 3282.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*b = -5*m - m - 76, -85*b = -84*b - 2*m + m - 13 for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*s - 8*s - 4 = 0. Let f(b) be the first derivative of 0*b - 1\/2*b**s + 3. Let m(w) = -2*w**2. Give m(f(t)).\nAnswer: -2*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 20*b**2 + 4*b + 6. Let a(f) = -47*f**2 - 9*f - 12. Calculate -6*a(g) - 13*v(g).\nAnswer: 22*g**2 + 2*g - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - 2 = -5*g + 14, 5 = 5*k - 5*g. Let x(s) = s**3 - 2*s**2 + 2*s - 1. Let r be x(2). What is the derivative of -2*a**3 + 3*a**k + 3 + 0*a**r wrt a?\nAnswer: 3*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y**(-24)\/y)\/y)\/(((y\/((y**(-11)\/y)\/y)*y)\/y)\/y))\/(y**2\/(y\/(y\/(y\/y**(-21))))))**(-2\/5) assuming y is positive.\nAnswer: y**(38\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 59434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence spss when four letters picked without replacement from fsnnpppfpsfcfpspff.\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -57028.42093242 less than 43?\nAnswer: 57071.42093242","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*v + 10*v - v)*(0*v**3 - v**3 - 6*v**3) - 2*v + 2*v**4 + 2*v.\nAnswer: -61*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*l = -t - 15, -6*l + 10*l + 3*t + 21 = 0 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 greater than 1\/17513503?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 62*i = 2203 - 591. Let y = 207 - -102. Calculate the remainder when y is divided by i.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-63*u - 51*u - 52*u - 7617 + 164*u)*(-3*u + 0 + 0) to p*u**2 + i*u + b and give i.\nAnswer: 22851","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 8*j**2 + 4*j + 39. Let y be z(15). Suppose -1260 = -2*g + 5*m, -y = -3*g + 9*m - 6*m. What is the tens digit of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*c - 63 = 20*c. Suppose -3*u - 1 = 2*h, -h = u + h + 7. Solve -c*l = 4*q - u*l - 32, 3*q = l + 8 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*x - y - 348 = -308, -20*y = -4*x + 3*x - 129 + 424 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find y, given that y**5\/2 - 15*y**3\/2 + 5*y**2 + 12*y = 0.\nAnswer: -4, -1, 0, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.9241505 to one dp.\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 103 and 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -3 + 11 + -5 + 3. Does 15 divide (-113)\/(-4) - d\/24?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 4788032, 9576024, 14363934, 19151720, 23939340, 28726752, 33513914?\n\"Answer: -7*a**3 + a**2 + 4788038*a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*p - 3*u = -3, -15*p + 11*p - 3 = -3*u for p.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 80 = 32. Let u(a) = 4*a**2 - 5*a + 7. List the prime factors of u(r).\nAnswer: 523","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and -38615.\nAnswer: 193075","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -45, 2, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 2\/((3 - 0)\/(-45)). Let j be (-10)\/(-8)*(-36)\/r*42. What is the greatest common divisor of j and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 31087 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -9 + 16. Let r(b) = -a*b - b**2 + 7*b. Let q(u) = -u + u + u + 0. Determine q(r(s)).\nAnswer: -s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -0.5 (b) -31\/5 (c) 45\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (77 - (-11 - -36)) + -35.\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Divide 193403340 by -2.\nAnswer: -96701670","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in twenty-seven fifths of a litre?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 203 - 195. Suppose f = 3*m - 10, h*f - 3*f + 4*m - 26 = 0. Solve 0 = -2*d + 2*r + 2, 7*r - f*r - 15 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21.89585464 rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -29 + (37 - 14 - 9).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-190)\/(-45) + -4 - 1087\/(-9). Let p = k + -90. Calculate the remainder when p is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/(-5))\/(14\/(-15)*(-80 - -79))?\nAnswer: -3\/14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -22 (base 4) in base 11?\nAnswer: -a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -p - g + 9941 = 0, -p = -443*g + 440*g - 9941. List the prime factors of p.\nAnswer: 9941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.59 + -0.08. Let w = i + -0.11. Let m = 21.7 - 20.7. What is the smallest value in -0.2, w, m, -0.13?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 4089530?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Does 8046 = 8047?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 - 3 - -39*(-24)\/(-324).\nAnswer: -10\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from czydmmb. What is prob of sequence ymm?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4 by 60022870.\nAnswer: 2\/30011435","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let m(p) = 6*p - 1. Let b(y) = 1824643*y. Calculate m(b(n)).\nAnswer: 10947858*n - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 PM and 6:11 AM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 37 + -37. Which is the nearest to 1? (a) 5\/3 (b) n (c) 7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 7 + 0 + (-2 + 3)*-3. Calculate the highest common divisor of w and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-8)\/(-14)*(-14)\/(-4). Suppose p*t - 34 = -2*g, 2*g = -2*g - 5*t + 72. Solve 2*i + 9 = 3*o, -o - o = 5*i + g for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-93)\/62 + (-122)\/4. Let i = f + 19. Which is smaller: -15 or i?\nAnswer: -15","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3203101?\nAnswer: 11, 291191","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = a - 398 + 401 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -224 = -5*w - 44. What is the tens digit of w?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-2)\/42)\/(51*70\/37485)*82.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express h**2 - 3*h**4 + 17*h + h**4 + 10*h + 4*h**4 - 2 - h**4 as z*h**2 + j*h**3 + c*h + f*h**4 + w and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: ((65\/(-10))\/13)\/((-2)\/(-12))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 960481903 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 5583025057 to the nearest integer?\nAnswer: 1774","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 53 + 58330\/(-1102) - 251\/(-145). Determine f, given that 3\/5*f**5 - 9\/5*f**2 + x*f**4 - 6\/5*f + 3\/5*f**3 + 0 = 0.\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(4 + -3 + (2 + sqrt(684))*6) + -1)**2.\nAnswer: 23040*sqrt(19) + 619696","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/6 - (-1 - 0).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.244924066 not equal to -1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(d) = 11 + 46*d**2 - 62 - 10 - 8*d + 370*d**2. Is s(-6) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z**2\/7 - 11474002*z\/7 - 4917432 = 0 for z.\nAnswer: -3, 5737004","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 6, -3*q = 2*x + 2*q - 4. Suppose -11 = -3*c - 2. Put 0, x, c in descending order.\nAnswer: c, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) be the first derivative of -2473*b**5\/5 + 77*b**3\/3 + 2*b - 1089. Find the third derivative of j(z) wrt z.\nAnswer: -59352*z","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3 in 605\/2, -7, 1\/5?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1351374058 + -6316322439865\/4674. Let d = i + 12\/779. Calculate the common denominator of d and 43\/5.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: -21 + (4 - -11) - 3\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 189\/54*(-24)\/(-42). Put -17, p, -6 in descending order.\nAnswer: p, -6, -17","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -154*k + 226*k - 204 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*u + 2 = 4*m - 4*u, 5*u = 5*m + 10 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39 - 33 = -24*z. Suppose 4*i - 184 = -z*k - 31, 2*i - 51 = -k. Calculate the remainder when 202 is divided by k.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (2\/(-10))\/(((-30)\/(-25))\/1). Suppose -3*m + 4*m = -2. Which is the biggest value? (a) -3 (b) x (c) m\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2.056 + -0.2.\nAnswer: -2.256","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8092 = 629*j - 2142 + 5372 for j.\nAnswer: -18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1765564 + -5?\nAnswer: -1765569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = d + 10. Let q be t(-7). Let h(a) = -a**3 + 4*a**2 - 2*a + 3. Let m be h(q). Let s(r) = -r**3 + 8*r**2 - 7*r - 7. Is 10 a factor of s(m)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3 + -2 + 2 - -7. Let n = 18 - h. Suppose -2*o + 78 = 5*c, -2*c - c - 75 = -3*o. Calculate the remainder when o is divided by n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*x**2 + 5*x**2 - 2*x**2)*(21 + 26*x**3 - 21) + 5*x**5 - 5*x**5 + x**5.\nAnswer: -25*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -75\/56 and 101\/678064?\nAnswer: 4746448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = 2*y - 25 + 21 + 2*y. Let p be j(3). Suppose -4*g = -0 - p. Solve -4 = -g*m + m for m.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add -0.5 and -3190272239.\nAnswer: -3190272239.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {w: 2, l: 3, g: 2, t: 1, e: 3, z: 3}. What is prob of sequence zw?\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 43642?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 0*v = j - 22, 2*v = 3*j - 73. Let x be (-8)\/5*j\/(-10). Let h(g) = -x + g + 5 - 1. Let b(i) = 4*i. Calculate b(h(c)).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 - 2)*(d**2 - 3*d**2 + d**2) - 6 - d**2 + 6 + d.\nAnswer: d**2 + d","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 751, 3131, 7099, 12655, 19799?\nAnswer: 28531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 138645 and 6399.\nAnswer: 415935","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 28043 is divided by 164.\nAnswer: 163","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of x**3 - 3*x**2 - 3916*x - 665154?\nAnswer: 3*x**2 - 6*x - 3916","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = 3*l. Let v(u) = 3*u - 18546420. Give v(w(k)).\nAnswer: 9*k - 18546420","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 169 a factor of 53813994?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -4.4 - -5. Let o = w + -3.6. Let s = -7.848 + 6.848. Which is the second biggest value? (a) o (b) s (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-20)\/8 + 2\/12*3. Let k be 4 - (2\/2)\/(3 + t). Suppose -285 = -3*b + k*v, 5*b + 3*v - 191 = 252. Is 13 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -164 - 34 = -9*j. Suppose 70*a + j = 81*a. Solve 2*y - 12 = -5*v - y, -4*y + 16 = -a*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 - 11*i**2 + 4*i + 153. Let x be u(8). Let w(v) = v**3 + 7*v**2 - v + 3. Determine w(x).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192 and 496?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -3728 + 3766. Suppose -604 = -3*a - 2*i + 420, 3*i = -3. What is the highest common factor of a and n?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-30 + 2 + 0)\/(1\/590). Let b = v + 825909\/50. Find the common denominator of b and -71\/4.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 45092634?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*v - 3*v + 40 = 0. Suppose -5*q = v*f - 895, -4*q + 525 - 161 = 2*f. What are the prime factors of f?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((o**1*o)**10)**(-46) assuming o is positive.\nAnswer: o**(-920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 11.2 - 11. What is the third biggest value in -1, 1\/3, -7, o?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -19365 - -19366. Put -2\/33, v, 161 in increasing order.\nAnswer: -2\/33, v, 161","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*l + 6 = 4*n, -2526*n = -2524*n + 3*l - 9 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*x + 27 + 27 = 0. What is the smallest common multiple of 12 and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 48*i**3 - 7 - 47*i**3 + i + 0*i + i**4 in the form q*i**3 + u*i**4 + f*i**2 + v + z*i and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 + 5 = g. Suppose 35 = 2*d - g*d. Let l(h) = -12*h + 5. Is l(d) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -0.233 (b) 19\/10 (c) 0.3 (d) 60 (e) 5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 + 68 = -7*k + 5*f, -15*k = 2*f - 62 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 336830551?\nAnswer: 336830551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 60.\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n + 11*x - 17 = 12*x, -2*n = -x - 11. Suppose -2186 - 55 = -n*s. What is the tens digit of s?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyyyyayyyyaayyyaay. Give prob of picking 4 y.\nAnswer: 91\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -145 or -147?\nAnswer: -145","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 60 and 7437036.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 239 - 2887\/12. Find the common denominator of y and -49\/10.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17 = 14*i - 12*i - 5*w, 5*i = 5*w - 5 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 divided by -4162.\nAnswer: -3\/2081","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 13 + 25 + -35 + -30 + 0?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i(u) = -1664*u + 13290. What is i(8)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert -327b8 (base 12) to base 13.\nAnswer: -24545","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w(p) = -p**3 - 27*p**2 - 49*p + 44. Determine w(-25).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -46*f**3 + 40*f**2 - 53. Let n(b) = 23*b**3 - 20*b**2 + 26. Let m(i) = 13*n(i) + 6*t(i). Let k(v) = -8*v**3 + 7*v**2 - 7. Give -17*k(g) - 6*m(g).\nAnswer: -2*g**3 + g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 70 - 75. Let o be m\/(-4)*4\/10. Which is greater: 0.82 or o?\nAnswer: 0.82","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = -138*w**2 + 36*w + 17. Let a(r) = -310*r**2 + 72*r + 36. Let q(u) = -4*a(u) + 9*l(u). Calculate q(15).\nAnswer: 99","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2085 and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*d - 360 + 299 = 13*b - 3*d, -4*b + 4*d = 25 + 22 - 11 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -7.344 + 7.274. Which is the third smallest value? (a) -11 (b) 5 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -4*a**3 + 3*a**2 + 5*a + 9. Suppose 2*x + 20 = 5*r, 5*r = 89*x - 94*x - 85. Is y(x) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 + 4 + -2)*(-1 - 10\/2)?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = 6*w + 85. What is q(-5)?\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s - 231109 = -w, -693325 = 148*s - 151*s - 2*w. Is s a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 511 - 312. Let d = -312 + n. Let p = d + 180. What are the prime factors of p?\nAnswer: 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 4571 and 1183?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*i - 8*i + 50. Let y be (-3)\/(-30)*-4*-5. What is the remainder when (1\/y)\/(3\/108) is divided by i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -103\/38 and (-4958)\/740*1\/38.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 4648 + -4648.05401. Round v to three decimal places.\nAnswer: -0.054","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 10 - -20212122?\nAnswer: 20212202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Does 18 divide 2316\/21 - 2\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 7*w**2 + 0*w**2 + 3*w**2 - 2*w**2.\nAnswer: 8*w**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(p) = -30*p + 21. Let y(k) = 191*k - 124. Let g(x) = 13*d(x) + 2*y(x). Give g(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(b) be the third derivative of -b**6\/360 + b**5\/120 + b**4\/12 + 5*b**3\/6 - 3*b**2. Let d(a) be the first derivative of p(a). Let d(l) = 0. Calculate l.\nAnswer: -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(f) = -13*f**2 + 576*f - 103. Calculate j(44).\nAnswer: 73","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 6*r - 624 = 0. List the prime factors of r.\nAnswer: 2, 3, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 4 and 78748.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -20988, -41914, -62696, -83262, -103540, -123458?\n\"Answer: 12*x**3 - 21010*x + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t + 2*t + 32 = 0. Let k be 2 + t\/(-2) - -3. Solve -5*h - 2*n + 0 = k, 5*h + 9 = 2*n for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0003398607117 rounded to 6 decimal places?\nAnswer: -0.00034","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1.1 - 1. Suppose 5*z + 8 = 2*g, 6*g = 2*z + 9*g - 12. Let m be (-3)\/(135\/6) + (z - 0). Which is the third biggest value? (a) d (b) 5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5906, 23652, 53234, 94652, 147906, 212996?\n\"Answer: 5918*u**2 - 8*u - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Divide -910298 by -2.\nAnswer: 455149","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 28, 47, 54, 43, 8, -57?\nAnswer: -158","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(171) - (((-5*sqrt(171))**2 + sqrt(171))*-1 + sqrt(171))) + -5 + (sqrt(171) - (3 + sqrt(171)))**2 + 1.\nAnswer: 3*sqrt(19) + 4283","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 850?\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand k**4 - k**4 + 2*k**5 + 1 - 2*k**5 - 1 + (-5*k + 0 + 0)*(k**4 + 0 + 0).\nAnswer: -5*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: 65 - 88 - ((-20 + 22 - (-2 - 0)) + 6)\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0105657 rounded to 3 dps?\nAnswer: -0.011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -19.73468744 to four dps.\nAnswer: -19.7347","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -17*i*o**3 - 2*i*o**2 - 823*i - o**3 + o**2 + 11*o wrt o?\nAnswer: -102*i*o - 4*i - 6*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) = -50*g + 66. Let i(d) = -9*d - 1. What is 5*i(k) - z(k)?\nAnswer: 5*k - 71","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7111986 micrometers to millimeters.\nAnswer: 0.0007111986","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 62.22556 litres?\nAnswer: 62225.56","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1012468807 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 less than -0.034?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5 + (sqrt(448)*1 + sqrt(448) + -2)*2 + 3*((sqrt(448) + (sqrt(448) - sqrt(448)*-1))*6 + sqrt(448) - sqrt(448))*-3 + -4)**2.\nAnswer: 7584*sqrt(7) + 11183881","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: (1\/3*2)\/(4\/(-18))\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 50 a factor of 47200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kl when two letters picked without replacement from fpqfllplqlfkplkk.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u(r) = -6*r + 30. Let q be u(5). Suppose q = 8*j + 11 + 5. Which is bigger: -7\/5 or j?\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 201364021 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Round 2134.1 to the nearest one hundred.\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-15)\/30)\/(2\/(0 + 2)). What is the nearest to 1\/2 in w, 1, 33, -1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -2989 - -5885. What is the highest common factor of r and 80?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 58 * -0.04\nAnswer: -2.32","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let 2*s**3 - 55*s**2\/2 - 7*s = 0. What is s?\nAnswer: -1\/4, 0, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 22 (base 4) to base 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35, -201, -477, -869, -1383?\nAnswer: -2025","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -51.74771044 rounded to the nearest ten?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.4 and -50?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*sqrt(1260) - sqrt(1260))\/(-1*sqrt(112) - sqrt(112)).\nAnswer: -3*sqrt(5)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 120*d - 555 - 285 for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4787, -19392, -43785, -77972, -121959?\nAnswer: -175752","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 12*k + 66 - 6 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -4860546 or -4860545?\nAnswer: -4860545","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 6394 = 2*l, 50*l - 46*l = -k + 12722. Is 13 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 87.10276l?\nAnswer: 87102.76","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round 6.80417 to the nearest integer.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 0.9942+-7.8635566\nAnswer: -6.8693566","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 1552055543 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vvq when three letters picked without replacement from {y: 4, v: 3, q: 4, a: 3, x: 2}?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25*a + 27 = 34*a. What is the second derivative of -6*t**a + 4*t - 47*t + 22*t wrt t?\nAnswer: -36*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1988726 to the power of 1\/2, to the nearest integer?\nAnswer: 1410","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -1021 + 9202\/9. Let y = 52\/9 - n. Let o = y + -14\/3. Which is the nearest to 4? (a) 0.3 (b) -4 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3.02 - -0.02. Let w = z + 2. Put -5, w, -1\/3 in descending order.\nAnswer: -1\/3, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -3 (b) 3\/4 (c) -0.5 (d) 2838 (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3 + 3 - 1038*w + 170*w - 1773*w to the form y*w + r and give y.\nAnswer: -2641","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n(f) = 53*f - 156. Let r be n(9). Let y = -303 + r. What is the least common multiple of 12 and y?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 63716967737 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x = x - 54. Let z = -33 - x. Calculate the highest common divisor of 105 and z.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 244.99947 - 245. Round y to 4 decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 107486?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = -x**2 - 3262*x - 1832065. Determine y(-721).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -0*k - 2*k. Suppose k*i + 3*h = 4*i - 27, 8 = -4*i - 4*h. Suppose j = -i*q - 24895, -q - 3*j = 4304 + 3981. What is q rounded to the nearest 1000?\nAnswer: -8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0 - 2 + 4)*(-31*o + 25*o + 24*o).\nAnswer: 36*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 15\/6*11\/(55\/(-6))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 242 + -239. What is the third biggest value in 2\/3, 0, c, 4?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -a92 + -7b?\nAnswer: -b0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = -2*r, -6*r + 3 = -3*q - 10*r for q.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 198 and (-31)\/((-589)\/(-2090))*(93\/(-15) + -1)?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z + 27 = -3*h, 3*h + 9 = -2*z - 2*h. Let w(y) = -y**2 - 13*y - 6. Let s be w(z). Sort 4, -1, s in decreasing order.\nAnswer: s, 4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577887.637 rounded to the nearest 100000?\nAnswer: 2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 4*((-1*sqrt(11))**2 + 0 + (1*sqrt(88))\/sqrt(8) + 1*(sqrt(33)\/sqrt(3) + -1)**2 + -3).\nAnswer: -4*sqrt(11) + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-863104)\/22068*9\/(-8)?\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(190) - sqrt(190)*2*3)\/sqrt(10) - sqrt(228)\/(-5*1*sqrt(12))) + 4.\nAnswer: -24*sqrt(19)\/5 + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-2660)\/(-15) + 6\/9. Suppose -4*p = -5*p + 2*i + k, 2*p - 3*i = 357. What is the greatest common divisor of 72 and p?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3*r - r + r + (3 - 5 + 1)*(2*r - r + r).\nAnswer: r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -40 - 14*j - 7*j + 40.\nAnswer: -21*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3 + ((4 - 0) + -3 - 2). Find the third derivative of -7*y**2 - q*y - 3*y**2 - 12*y**3 + 2*y wrt y.\nAnswer: -72","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -82500000 to the nearest one million.\nAnswer: -83000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = 15*g - 2. Give r(-5).\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -8405.8959 - -8402. Let u = i + -0.1041. Suppose -3*l + 1 = 4*t, 1 = -5*l - 3*t - t. What is the third smallest value in u, l, -2?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -167\/120 and -97\/52.\nAnswer: 1560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 176 = -u + 147, 4*a + 50 = -2*u. Let p(f) = f**2 + 16*f - 1. Give p(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.7 - -0.9. Which is the closest to v? (a) 4 (b) -1\/3 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 34 = 0. Suppose -2*g + 40 = 2*g. Let n = d - g. What is the units digit of n?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-130)\/(-52))\/((-8)\/(-16))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 10071 and -1412691384.\nAnswer: -1412681313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -1865*a**4*o**2 - a*o**2 + 8*o**2 - 12274*o wrt a?\nAnswer: -7460*a**3*o**2 - o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Put 2\/11, -13545, 0.4, 0.41, -1\/2 in increasing order.\nAnswer: -13545, -1\/2, 2\/11, 0.4, 0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-7*l + 0*l + 4*l)*(-4 + 5 - 2 + (1 - 2 + 2)*(-2 - 2 + 3) + 1 - 3 + 0 + 4 - 3 - 2 + 1 + 4 - 4).\nAnswer: 12*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -67 + 83. What is the least common multiple of s and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -513, -1025, -1535, -2043, -2549, -3053, -3555?\n\"Answer: c**2 - 515*c + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -509\/15 + 34. Which is the closest to 0? (a) d (b) 2 (c) 0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17 = 5*x + 3*c, 5*x = x - 4*c + 20 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 9756?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -476, -462, -444, -422, -396, -366, -332?\nAnswer: -294","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 11927457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 16340 (base 14) to base 11.\nAnswer: 38797","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 63 and 54445055.\nAnswer: 490005495","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Divide -25739 by 198.\nAnswer: -25739\/198","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 37, -9, 3.\nAnswer: -9, 3, 5, 37","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*r**2 - 4*r**2 + 2*r**2)*(-2 + 1 + 2) + 5*r**2 + 2*r**2 - 5*r**2 - 6*r**2 - 2*r**2 + 7*r**2 + (3*r - 6*r + r - 2*r**2)*(-2 - 1 + 1).\nAnswer: 6*r**2 + 4*r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*k - 3*k = -s + 26, -25 = 4*k - 5*s for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 46 divided by -1432500?\nAnswer: -23\/716250","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 38\/4 + 3\/(-2). Let d = k + -6. Suppose -d*n + 7 + 1 = 0. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -17*u + 256 - 171. Solve -u*c - j = 11 + 1, 16 = -4*c - 4*j for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {u: 1, v: 4, f: 2}. What is prob of picking 1 u and 1 f?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 243022+-221231\nAnswer: 21791","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Sort 12, -5, 3, 106, 0, -2 in ascending order.\nAnswer: -5, -2, 0, 3, 12, 106","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 divided by -630.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -629 - -658. Suppose -13*b - 7232 = -d*b. Is 87 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*a = 8*a - 15 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*6*((sqrt(364)\/sqrt(7)*2)\/sqrt(4) - ((-2 + sqrt(52)\/sqrt(4))*4)**2).\nAnswer: -1188*sqrt(13) + 4896","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*g - g + 5*g)*(432*g**2 + 28676 - 28676).\nAnswer: 864*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 454*f - 1165*f = 10665 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 83*r - 406 + 5281 = 61 for r.\nAnswer: -58","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 1371358 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*a + 80 - 1335 = 0. Is a composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence yae when three letters picked without replacement from ayekbaaab.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -4\/377 + 10969\/3393. Find the common denominator of r and (8\/6)\/((-6)\/(-153)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 1048 = -1847. Let z be a\/(-96) - -2 - (5 - 9). Which is smaller: 0 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2 - 2 + w**2. Let p(l) be the third derivative of -l**7\/1680 + 2*l**5\/15 + 8*l**2. Let t(h) be the third derivative of p(h). Determine t(k(g)).\nAnswer: -3*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is 624551449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -49, -7, -1, 1, -1\/2?\nAnswer: -49","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 138, 4, -5 in ascending order.\nAnswer: -5, -2, 4, 138","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = -2*r + 1835*r**3 - 2 - 1862*r**3 + 21*r**2 - 20*r**2. Calculate s(-1).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2663271, 2663270, 2663269, 2663268?\nAnswer: 2663267","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 48688 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: -3 - -15 - (10 + 0)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 25\/2 of a minute?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(w) = w**3 + 4*w**2. Suppose -c - 29 = 5*b, 0*b = -5*b - 25. Let a be t(c). Solve -5*l + a*l = -5*z + 20, 2*l + 3 = -3*z for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 0.236?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -3*o. Let g(b) = 1268*b + 9 - 1268*b + b**2. Give h(g(w)).\nAnswer: -3*w**2 - 27","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -1, -238, 2, -0.1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 1599*u + 413. Calculate p(-1).\nAnswer: -1186","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 = -3*z - 2. Let c(u) = u**2 + u - 2. Let p be c(-3). Let y(q) = 1 + p*q + 5*q - 5*q. Calculate y(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2.7 + 0.3. Let l = -11\/78 - -4\/13. Let o = -5 - -3. What is the closest to -2\/7 in l, o, b?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.006914 rounded to 4 dps?\nAnswer: -0.0069","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -2 - 2b258?\nAnswer: -2b25a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2 in -0.01, 55495, 5?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-98*7\/(-245))\/((-1*1)\/(-5)).\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*n - 3051 = -14*h + 11*h, h + 3043 = 5*n. What is the highest common factor of 1131 and n?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 286 at most 290?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.87 + -0.8338. Let i = q - 0.3362. Put i, -1\/6, 0, 5 in ascending order.\nAnswer: i, -1\/6, 0, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2973843?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 104328 to the power of 1\/3, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 130 and 5.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 73 + -55. Calculate the smallest common multiple of 18 and w.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(m) = -m**3 - 10*m**2 - 3*m - 9. Let b be h(-10). Suppose 6*x + b = 9. Is 2\/((x - -1)\/(-26)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.82413ml in litres?\nAnswer: 0.00082413","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 238*c - 545*c + 292*c + 135 = 0 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1\/3 (b) -20 (c) -1.4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -n**2 - 19*n + 14. Let u be a(-13). Suppose -5*f + 203 = -u. Calculate the remainder when 116 is divided by f.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be -3 + 0 + 86\/2. Calculate the greatest common factor of c and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 - -35. Suppose 2*q = -4, 5*u = -f*u - 5*q. Solve u*k - 5 - 1 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1 by 8509.\nAnswer: -1\/8509","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -8 + 11. Calculate the remainder when -6*12\/(-8)*1 is divided by b.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 12 + -5. Let h = 30 - c. What are the prime factors of h?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 50*z = 49*z + 3 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-84)\/(-4))\/(((-2)\/8)\/((-1)\/4)). Solve n*h + 98 = -7 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(y) = 9*y**2 + 54*y - 253. Give z(5).\nAnswer: 242","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1446272.31 hours in weeks?\nAnswer: 8608.76375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 28645 and 3223405.\nAnswer: 1685","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = -2*d + 3. Let a(q) be the third derivative of -5\/6*q**3 - 3*q**2 + 0 + 0*q + 1\/8*q**4. Let x(s) = 3*a(s) + 5*w(s). Calculate x(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Suppose 83*s - 85*s + 1680 = 0. Let d(c) = -c + 3. Let u be d(0). Suppose -4*k - s = 2*x, u*k + 840 = -k + 3*x. Round k to the nearest 100.\nAnswer: -200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4431608 divided by -37556?\nAnswer: -118","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 15470?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + a + 0)*(0 + 0 + 3*a) - 21*a**2 - 19*a**2 + 12*a**2 in the form h + z*a + d*a**2 and give d.\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Determine z so that -64\/13 + 2\/13*z**5 - 40\/13*z + 38\/13*z**3 + 86\/13*z**2 - 22\/13*z**4 = 0.\nAnswer: -1, 1, 4, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -198 + 182.2. Let m = -16 - w. What is the third smallest value in -2, -3, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((s**1)**(-2\/111)\/(s**2)**(-2\/33))\/(((s\/(s\/(s\/(s\/s**(-6)))))\/s)\/((s**6*s)\/s))**(1\/37) assuming s is positive.\nAnswer: s**(5\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -3977 + 9331. Suppose 3*t = v - 1335, 0*v = 4*v + 2*t - d. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -330 + 204?\nAnswer: -121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((20\/(-15))\/1)\/((-20)\/12)?\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 1 + -0.0312\nAnswer: 0.9688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Round -628.622 to 0 dps.\nAnswer: -629","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) be the second derivative of 0 + 1\/12*g**4 + 18*g + g**3 + 3\/2*g**2. Give a(-6).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in w**5 + 1357*w**4 - 15030*w**3 + 24732*w**2 + 147528*w - 295488 = 0?\nAnswer: -1368, -3, 2, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2533 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*y + 4*c = -52, 0 = -70*c + 74*c + 12. Let s(j) = j**2 - 3*j - 4. What is s(y)?\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 24404739251 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12681 is divided by 1445?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -56, -79, -124, -191, -280, -391, -524?\n\"Answer: -11*v**2 + 10*v - 55","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(y) = -y - 7. Determine t(-11).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = -4*n**2 - 43*n - 25. Let l be z(-10). Suppose -113 = -l*g - 28. Solve -16*a - 2 = -g*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 367 divided by 12.\nAnswer: 367\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2910342 by -485057.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = m**2 + 5*m - 4. Let i be l(-6). Suppose -q - 4*q + 35 = 0. Suppose 0 = 4*c + q - 23. What is the highest common factor of i and c?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 386297132 to the power of 1\/3, to the nearest integer?\nAnswer: 728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -25? (a) -2\/9 (b) -4 (c) 1 (d) -1.4 (e) 2\/13\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -214335*b**2*d**4 + 39*b**2*d**3 - b**2*d**2 - 549*b**2 + 5*b*d**2 - 18*d**2 + 4 wrt d.\nAnswer: -5144040*b**2*d + 234*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 163 divide 15452926?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-78)\/8*12\/3. Let k = p + 55. Calculate the smallest common multiple of k and (-1)\/(-2) + 6\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 1 + 52\/(-143)*66\/(-12). Factor -8\/3*i - 32\/3 - 4\/3*i**b + 20\/3*i**2.\nAnswer: -4*(i - 4)*(i - 2)*(i + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Convert -3a86 (base 12) to base 6.\nAnswer: -51050","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -5*f + c, -4*c - 20 = -f + 3 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*y + 5*x - 1 = 0, 11754*x = -2*y + 5874*x + 5875*x + 4 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3*(sqrt(1078) - (sqrt(1078) - -1*sqrt(1078))))\/(sqrt(704) - -4*sqrt(275)).\nAnswer: -3*sqrt(2)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -0.296, 0.5, -5, -1\/11, 1, 2?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/7? (a) 0.8 (b) 2 (c) -3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -108, -159, -326, -669, -1248, -2123, -3354, -5001?\nAnswer: -7124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -10.95 - 0.05. Suppose 0 = -111*i + 113*i - 646. Let h = -321 + i. Which is the closest to z? (a) 5 (b) -0.3 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3592 by 449.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-3))**(1\/14)\/((v*v*v**(-2\/51)*v)\/(v\/(v\/(v**(3\/2)\/v)))) assuming v is positive.\nAnswer: v**(-955\/357)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: -11355524 (base 7) to base 12\nAnswer: -405b38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 3.6 - 4.2. Is y smaller than 2\/7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 divided by -3955.\nAnswer: 1\/791","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in three tenths of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x - 3*x + 5*x + (-5*x + x + 2*x)*(4 - 2 - 1) - 2 + 2 - x)*(4 + 5 - 5).\nAnswer: -16*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 5\/4 or 0.035?\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify b*b*b**(1\/8)*b*b**(1\/3)*(b**1)**(-1\/18) assuming b is positive.\nAnswer: b**(245\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 471 + -466 + (-1 - (2 - -9)) - 2.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -102 - (-28 - -19 - -24 - (42 - 22))?\nAnswer: -97","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 69*m - 115 = -5*t + 74*m, 4*m + 38 = t. Solve -2*f = 5*h - 4*f + 15, 3*f = 3*h + t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = -4*o + 12, 5*v + 0*v = -o - 10. Which is the fourth smallest value? (a) 1\/14 (b) -20 (c) -0.2 (d) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 84 and 5304?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -11*x + 133 + 54. Let a(l) = -20*l**2 + 17*l - x*l. Let v(s) = 2*s. What is a(v(g))?\nAnswer: -80*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -73\/48 and 1\/13788?\nAnswer: 55152","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2604*r + 1903 = -2431*r for r.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 479468, 479473, 479482, 479495, 479512, 479533?\n\"Answer: 2*h**2 - h + 479467","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -65*q + 11. Let d be j(1). Let z be ((-72)\/d)\/(8\/30). Solve -z*l + 11 = -0*w - 4*w, l - 1 = 2*w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*b - 4*b + 5*c = 600, 4*b = 4*c + 512. Suppose 2*s = 4*l + b, -2*s - 2*l = -4*l - 116. What are the prime factors of s?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*g - 3 + 2*g**3 + 2 - 1 + (-4*g - 2*g**2 + 4*g)*(-5 - 2*g + 5) + 318*g**3 + 329*g**3 - 632*g**3.\nAnswer: 21*g**3 - 2*g - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x(l) = -l**2 - l - 6271. Let c(g) = 56*g**2 + 2. Give x(c(o)).\nAnswer: -3136*o**4 - 280*o**2 - 6277","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -2 - 0 - (-6 - 14). Let v = d + -16. Suppose 2*i - 5*b - 13 - 12 = 0, v*b = -3*i + 47. What are the prime factors of i?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 137\/1044 and 31\/402.\nAnswer: 69948","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -2302*x**2 + 34*x + 11. Let j(q) = -1155*q**2 + 16*q + 6. Let n(z) = 11*j(z) - 6*l(z). Find the second derivative of n(h) wrt h.\nAnswer: 2214","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 16\/60*20*(-37)\/296.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 - (3 - (5 - -1))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-3)\/(-2)*25\/(-50).\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l(w) = 0*w**2 - 8*w - w**2 + 0 - 2. What is the tens digit of l(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20 = -213*b + 214*b + 5*s, -3*s = 4*b + 12 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1087*t**4 - 12*t - 29 wrt t.\nAnswer: -13044*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:40 PM and 5:08 AM?\nAnswer: 448","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose n + 112 = -6*n. Let c = n - -18. Factor 0 - 1\/2*z - 1\/2*z**5 + z**3 + 0*z**4 + 0*z**c.\nAnswer: -z*(z - 1)**2*(z + 1)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 19043.93939 rounded to zero dps?\nAnswer: 19044","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*t + 2*t**2 + 3*t)*(-4 + 4 - t) + (-16*t + 4*t - 19*t)*(14*t**2 - t + t).\nAnswer: -436*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.5 + 0.8. Let f = -479 + 124. Let i = -355.1 - f. What is the closest to i in 2\/5, w, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 - 1 = -x, t + 23 = 4*x for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-5162)\/(-435) - 2\/(-15). Suppose 0 = 4*b - j, 6*b - 128800 = -4*s + 2*b. Is s prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -31 - -52. Let m = y + -29. Let v(h) = h**3 + 9*h**2 + 6*h - 4. List the prime factors of v(m).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(z) = -90*z + 0 - z**2 + 103*z + 1. Suppose -23 - 4 = -3*w. Is g(w) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find c such that 96*c**5 + 765*c**4 - 312*c**3 - 2487*c**2 - 1458*c + 48 = 0.\nAnswer: -8, -1, 1\/32, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1205 + -1118. What is the remainder when 203 is divided by o?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*-27681.2118\nAnswer: 8304.36354","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 31961243?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_test"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 3189038 and 3218.\nAnswer: 3189038","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 9\/4, -16, 2573 in decreasing order.\nAnswer: 2573, 9\/4, -2, -16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) be the first derivative of d**2 + 30*d - 11. Let k be n(-14). Let f be 0 - 2\/k*-2. Solve -3*y = f*y for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 n when three letters picked without replacement from {o: 2, n: 6, m: 5}?\nAnswer: 30\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = 56*w - 1. What is the tens digit of x(1)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*b - 5*b + 27 = 0. What is the remainder when b is divided by (15\/(-12))\/((-4)\/16)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -10 (base 4) to base 14.\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 52*s + 3*j = 47*s - 21, -23 = 5*s + 4*j for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand -w**3 + w**3 - 2*w**5 + (-7*w**2 + 374*w**3 - 398*w**3 + 3*w**2)*(3*w**2 + w**2 - 15*w**2).\nAnswer: 262*w**5 + 44*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -16 + 12. Let r be -4 - (4 - 11) - v. Suppose r*f - 2*f - 8 = -q, 0 = -5*f - 5*q + 20. Solve 3*n - 11 = f for n.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 60709381 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-659 - 288 + 226)*(n + 2 + 0 - 2*n) to i*n + h and give i.\nAnswer: 721","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -n - 11*t + 10*t + 860, n - 872 = -5*t. List the prime factors of n + 170\/(-51)*(-3)\/(-2).\nAnswer: 2, 3, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 996 and 2760.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*h**2\/7 + 183*h + 3816\/7.\nAnswer: 3*(h + 3)*(h + 424)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - 3*f + 5, 0 = -f + 5. Suppose 164 = 4*h + s*l, -2*l = -4*h + 3*h + 41. Calculate the remainder when h is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8419?\nAnswer: 8419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) = -i**3 - 40*i**2 - 103*i + 915. Determine z(-36).\nAnswer: -561","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 49 divide 90454?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 1011500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 853 + 69*j**2 - 5*j**3 - 2*j + 862 - 1716 in the form y*j + d*j**2 + q*j**3 + i and give d.\nAnswer: 69","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 254 - 251. Suppose 5*y + o*c - 6 = -18, -5 = -5*c. Sort -1, 4, y, 5.\nAnswer: y, -1, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1996424 is divided by 1996414?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(sqrt(176) + 3 - sqrt(11)) + -3 - (((sqrt(1331) + 1)*4)**2 + sqrt(1331) + ((-1 + sqrt(1331))**2 - sqrt(1331)) + 1).\nAnswer: -22660 - 342*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 less than 3.48?\nAnswer: 3.28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 2305169 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 55872 to the nearest integer?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 67 = o + p, 2*o - 3*p = 136. Suppose 0*f + o = -5*f. Let w = f - -33. Is 10 a factor of w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-2)\/4*(-4 - -4). Let h = -38.26 + 38. Let b = -1.74 + h. What is the third smallest value in m, b, -0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 6*l = 0. Suppose -32 = -r - 19. Suppose r*f - 15*f = l. Solve -5*d - 27 = -q, f = 2*q - 0 - 4 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v\/(v*v\/(v**(6\/11)*v*v))*v*(v*v**(2\/15))\/v*v*(v*v**(2\/3)*v*v)**(-36) assuming v is positive.\nAnswer: v**(-21173\/165)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 381*d = 384*d - 2*p + 10928, 2*p = 4*d + 14574. Round d to the nearest one thousand.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*p - 128 = -2*i, -5*i = p - 2*p - 60. Let j = 68 + p. Is j a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9 - (5\/4 + (-15180)\/(-528)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*((5*sqrt(392)*2)\/sqrt(8))\/(-3*(1*sqrt(35))\/sqrt(5)) + 5)**2.\nAnswer: 100*sqrt(7)\/3 + 925\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -237 + 240. Solve o = p, 8 = v - 2*o + 4*o for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3\/((-66)\/(-4))*(-3410)\/(-3100).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p = 5*n + 443, 2*n - 4*n + 5*p = 168. Let y = -82 - n. Calculate the remainder when 16 is divided by y.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -319734*s**3 + 319958*s**3 - 209*s - 97*s - 988*s wrt s?\nAnswer: 1344*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from cqkstcyttcct. What is prob of sequence ytq?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -1825 or -116875\/64?\nAnswer: -116875\/64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 25591, 25627, 25673, 25729, 25795, 25871?\n\"Answer: 5*y**2 + 21*y + 25565","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k**(1\/8))**(-6)*((k*k**(-5\/4)\/k)\/k)**(-2\/17) assuming k is positive.\nAnswer: k**(-33\/68)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 50*x - 41*x + 2 + 0*x + 3. Let u = -12 + 8. Let d(n) = 3*n + 2. Calculate u*y(h) + 11*d(h).\nAnswer: -3*h + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*a - 12 = -3*a. Let b(y) be the second derivative of y**4\/12 + y**3\/6 + 9*y + 2. What is b(a)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + (-11 + (10 - -10) - 32)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 820 a factor of 3832680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -8 (b) -4 (c) 0.07 (d) 1384\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 135 minutes before 3:08 PM?\nAnswer: 12:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1549, -15368, -52803, -125638, -245657?\nAnswer: -424644","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*z**4\/4 - 6*z**3 + 219*z**2\/4 + 267*z - 693 = 0.\nAnswer: -11, -6, 2, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((v*v**(-1\/17)*v*v*v**0\/v*v*v)\/(((v\/v**5)\/v)\/v**(-2\/7)))**(-8\/19) assuming v is positive.\nAnswer: v**(-8240\/2261)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x, 1 u, and 1 g when four letters picked without replacement from ugxixg?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*t + 104 = -3*m - 3*t, 0 = -2*m - 5*t - 76. Let b = -28 - m. Suppose 11*j - 6*j - 5 = b. Are 1\/6 and j non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 233 - 235 = 2*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:21 PM and 4:31 AM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -194*j = -57220 + 61100 for j.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1\/(2*(-3)\/18). Let y = 0.0242 + -4.0242. Let v = 4 + -5. What is the biggest value in x, y, v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.051 - 16.\nAnswer: -17.051","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (22\/4 - 4)*2. Suppose 5*f = -u + 13. List the prime factors of 0 + 27*f\/2.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.043 times -0.050317?\nAnswer: -0.002163631","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 12 a factor of 120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -110 + 109.898. Let u = -11.298 + b. Let q = 10.81 + u. What is q rounded to 1 decimal place?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -109 - 7*z - 5*z - 5*z.\nAnswer: -17*z - 109","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -76 + 50 + -39 + 106.\nAnswer: 41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-1)\/(2 + (-27)\/12). Let j be k\/(-2) + 1*(-1 - 2). Let b(x) = 6*x - 7 + 2 - 1. Let c(p) = 7*p - 7. Calculate j*c(h) + 6*b(h).\nAnswer: h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 75?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -35\/468 and 43\/820.\nAnswer: 95940","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 298623.4l in millilitres?\nAnswer: 298623400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jb when two letters picked without replacement from {t: 1, b: 2, j: 1, m: 2, l: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/1070, 3, 315 in decreasing order.\nAnswer: 315, 3, -1\/1070","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 905323 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 10.41384 - 10.357. Round m to three decimal places.\nAnswer: 0.057","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-135 - -136)*29\/(-7) - (-3 - 1).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5755 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: Is 1349471 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence scn when three letters picked without replacement from kkwsncwc?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 119 - 831\/7. Let z = 0.02 + -3.02. Let l be 9\/(-84)*1184\/222. What is the third biggest value in z, l, v?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*b + 34579980 = -x, 3*x - 3959385 = -3*b - 107699397. Round x to the nearest one million.\nAnswer: -35000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4448940 divided by 74149\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 27? (a) 1 (b) 20 (c) -1 (d) 2\/11 (e) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(f) = 24*f - 27. What is the smallest common multiple of u(3) and 10?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 104 minutes after 7:41 PM?\nAnswer: 9:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v = 2*d + 1 + 3, -10 = -5*v for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, -7, -4, -2, -3, 6.\nAnswer: -7, -5, -4, -3, -2, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2488*g**2*i**2*v + 19062121*g**2*i**2 + 4*g*i**2*v wrt v?\nAnswer: 2488*g**2*i**2 + 4*g*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 660843?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 4, -0.98, -10037, 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z\/(z\/(z**(4\/13)*z)))\/(z\/((z*z**(-16))\/z)*z) assuming z is positive.\nAnswer: z**(-217\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 34720 is divided by 1186.\nAnswer: 326","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) = -3*n + 5. Let u be ((-108)\/8)\/(3\/(4 - -20)). Let q = u + 114. Give a(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*(4*sqrt(320)*-3 + 3 + -3*sqrt(320)))**2*2.\nAnswer: -23040*sqrt(5) + 2304288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) be the first derivative of 0*w**5 - 1\/3*w**6 + 0*w**4 + 0*w - 3 + 0*w**2 + 5\/3*w**3. What is the third derivative of m(p) wrt p?\nAnswer: -120*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 1045 and 105.\nAnswer: 21945","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 + 6 + -1)*(-1320)\/9. What is n rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 12 minutes before 9:13 PM?\nAnswer: 9:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -n**2 - 11*n + 1. What is m(-11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6855 is divided by 2447?\nAnswer: 1961","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 - 8*l + l + 2*l - 13.\nAnswer: -5*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1113496.7 rounded to the nearest 100?\nAnswer: 1113500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*y = -3*l + 52, 163*l - 159*l = -4*y - 104 for y.\nAnswer: -26","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 10848088 and 26680.\nAnswer: 54240440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 82, 1458, 5198, 12484, 24498, 42422?\nAnswer: 67438","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 2 + 0)*(-1 + 1 + 2*f) + 115 + 9*f - 115.\nAnswer: 11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j + 15 = -0*j. Suppose -j*x + h + 5 = -14, -4*x + 2*h + 14 = 0. Suppose 4 = x*q - 16. What is the units digit of q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) = -348*l + 12. Let r = -244 - -243. Is 15 a factor of g(r)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 80181000 rounded to the nearest 100000?\nAnswer: 80200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1922516919?\nAnswer: 3, 19, 11242789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Determine r so that 3592*r**3\/3 + 2062*r**2\/3 - 510*r = 0.\nAnswer: -1, 0, 765\/1796","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -h - 6. Calculate g(4).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*s = -2*l - 4, 4*l - 7 = -5*s + 2*s for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {e: 11, c: 1}. Give prob of sequence cec.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 15 is divided by 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = i - 18. Let w be a(10). Let k(q) = q**2 + 4*q - 3. What is the units digit of k(w)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 27893914171 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) be the second derivative of 58*k**7\/3 + k**6\/10 + 35*k**3\/3 - 2*k**2 - 1047*k. Find the second derivative of i(w) wrt w.\nAnswer: 16240*w**3 + 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 4*w - 5*w + 3*w + 3*w**3 + 2*w wrt w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vibiwwibvww. Give prob of sequence wi.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (-5)\/(-5)*(-4)\/(-4)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-886650)\/14 + (-3)\/(-21). Let a = l - -12856430\/203. Let h = 13298\/1827 - a. Find the common denominator of 81\/2 and h.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((n**1\/n*n)\/n)**(-26)\/(((n*(n\/(n*n**5\/n*n))\/n)\/n)\/n**(-1\/5)) assuming n is positive.\nAnswer: n**(29\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -33 + 59 = -13*b. Which is bigger: -41 or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -9 + 23 + -19 + 4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) be the second derivative of 37*l**5\/120 + l**3\/6 + 2*l. Let q(i) be the second derivative of m(i). Let r(y) = 2*y**2. Calculate q(r(o)).\nAnswer: 74*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-1)\/(-1)*(-8 + -2). Is 215\/2 + (-15)\/d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = 8 + 2. Solve 9*t - k = 4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence xg when two letters picked without replacement from xwsgscg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 904903.5 meters to centimeters.\nAnswer: 90490350","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:13 PM?\nAnswer: 6:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = -11419*j + 6988428. What is h(612)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 7 and 63.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(v) = -366*v + 14. Suppose 16 = 190*d - 194*d. What is the units digit of r(d)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(-1\/12))**4*(m*m*m\/(m*m\/m**0*m))\/m**(-20) assuming m is positive.\nAnswer: m**(59\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1088*r - 373*r = 428*r + 491*r + 12036 for r.\nAnswer: -59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u = 6 - 0. What are the prime factors of -2 + (u - -15) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 257 divide 3868777680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide 93248 by 4.\nAnswer: 23312","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 41*z + 2 = 43*z for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 - 8*h**2 + 2*h**2 + 1 - 2*h**2 - 2*h**2 + h**2 + (-2*h**2 + 0*h**2 + h**2)*(0 + 1 - 3).\nAnswer: -7*h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (7\/3 + (-513)\/243)\/((-4)\/(-9)). Sort m, -0.106, 4 in increasing order.\nAnswer: -0.106, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -14 - (14 + -13) - -11.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -105, -107, -101, -81, -41?\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 679353 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(11)*1*3 + sqrt(1331) + -2.\nAnswer: -2 + 14*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 12568773 (base 10) to base 4\nAnswer: 233330203011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 275 and 3481841?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = a**3 + 38*a**2 - 2*a - 79. Let j be n(-38). Let b be (7 + 1)*(-10)\/24*j. Which is smaller: 2 or b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: (5 - ((-81)\/(-6) + -6))*40*15\/4875\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17*r + 14064 = 14081 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 2 or 9\/16?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-3)\/2*12\/30. Let y = -3 + 3.2. Which is the closest to -0.1? (a) 1 (b) y (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2237 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) = -8*m + 138. Let f be q(17). Which is the closest to -0.1? (a) -11 (b) -5 (c) f (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 73 and 1870656?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -475*i**2. Let b(z) = -z + 1. Let d(f) = 2*f**2 - 2*f + 2. Let q(k) = -2*b(k) + d(k). Give x(q(o)).\nAnswer: -1900*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 2068 to the power of 1\/3, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 48.08 + -20.08. Suppose 8 = -3*o + 2*h + 2*h, o + h - 9 = 0. What is the second smallest value in o, -0.2, s?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l = b - 167879, 4*b - 423*l + 426*l - 671462 = 0. Is b a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 35\/2*(-4)\/(-5). Let v(w) = 2*w**2 + 12*w + 2. Let b be v(-11). What is the greatest common factor of y and b?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 57\/216820 and -54\/11.\nAnswer: 2385020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 19981000 to the nearest integer?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 2\/3 in 0.2, 1.805, 2\/29, -5, 5?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + 2)*(5 - 3 + 11)*(-3*f + 4*f + 0*f).\nAnswer: 26*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine h, given that 16494*h**2 + 4849240*h\/3 + 392\/3 = 0.\nAnswer: -98, -2\/24741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -7 - -31. What is the second derivative of -n*s + 17*s**2 - 5*s**2 - 3*s**2 wrt s?\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0.2 in -2, -4\/11, 169, -6?\nAnswer: -4\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o(b) be the third derivative of -7*b**5\/12 + 5*b**4\/3 - 5*b**3\/6 + 16*b**2. Determine c so that o(c) = 0.\nAnswer: 1\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 276*q - 1. Let f be r(1). Suppose 0 = -5*k + n + 445, 2*k + n = -k + f. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 152491925 a multiple of 1185?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*p + 4 = -0. Let w be ((-2)\/6)\/(p\/6). What is the units digit of 0 + w - 12\/(-2)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 4108 and 13516438?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 18 - 20. Let f = 4.4 - 0.4. Sort -4, i, f in decreasing order.\nAnswer: f, i, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -32.9 + 11.2. Let n = -22 - a. What is the closest to n in -0.3, 3, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*d - 29*d + 15*d = 0. Solve -5*z + 3*z + 14 = 3*h, d = -5*z + 3*h + 14 for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -6906 = -129*s - 3681 for s.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -157, -17, 544 in descending order.\nAnswer: 544, -17, -157","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 <= -11377?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -2 + -575b?\nAnswer: -5760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 205\/441 - (-83 + (-28538)\/(-342)).\nAnswer: 1\/49","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3525044 divided by -5?\nAnswer: 3525044\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) = 31*y - 1. Let g be n(5). Let u = g + -74. Is u a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-5)\/(30\/(-183))*2 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 827357090 is divided by 183.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(u) = -12*u + 49. Let f be w(4). Let g = f + -1. Solve g = 2*k + 5*j + 21, 2*k - 6 = 3*j + j for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2 - (3 + -1)) + (11 - 3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 397442 to the power of 1\/4, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) -12\/5 (b) -27 (c) 2\/5 (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -34 - (-7 - (39 - -5))\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 7*l**3 - 9*l. Let i(d) = -3*d**3 + 4*d. Give -5*i(o) - 2*m(o).\nAnswer: o**3 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = a**2 + 28*a + 463. Determine m(-37).\nAnswer: 796","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 179 - 138. What is the remainder when t is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 10158.\nAnswer: 2, 3, 1693","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 147 - -114. What is the common denominator of -24\/5 and (12 - 4)\/(d\/(-12))?\nAnswer: 435","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the second derivative of -j**4\/12 + j**3\/6 + 104*j. Let i(q) = 6*q**2 + 5*q. Let y(d) = -d**2 - d. Let z(n) = -i(n) - 5*y(n). Give -2*p(a) + 3*z(a).\nAnswer: -a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11101000100001010 (base 2) to base 9.\nAnswer: -201267","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5*s**3 - 3*s**3 - 132598*s + 132598*s.\nAnswer: 2*s**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -480 = -12*l - 41*l + 13*l for l.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 26602.\nAnswer: 2, 47, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 218\/8*(-14)\/35 and -13\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(m) = -2*m**3 - 2*m**2 + m - 2. Suppose n = 5*g - 0*n - 67, 48 = 4*g + 2*n. Suppose 0 = -6*s - g + 43. Suppose s*l + 8 = l. What is v(l)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 201 is divided by 51.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-556*n - 4*n**2 + 323*n + 198*n - 1)*(3*n - 2*n + 1 + 0) in the form x*n + c + t*n**2 + q*n**3 and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 281 divided by -3?\nAnswer: -281\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 2 (base 15) to base 3\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -63? (a) -5 (b) -4\/7 (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*z = 156 - 656. Let s(f) = -2*f**2 + 39*f + 20. Calculate s(z).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 182\/3 + (-10)\/15. Suppose -g - b = -4*g. What is the remainder when 77 is divided by g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 423 and 47?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*u - 3*d + 1047 = 1051, -2*u - 7*d - 12 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:48 AM and 12:51 PM?\nAnswer: 63","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(i) = 2*i**3 - 4*i**2 + 3*i - 2. Suppose 10 = -0*p + 5*p. Let x be h(p). Calculate the highest common divisor of 8 and x.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3351, 4, 1, -3, -2, 0 in ascending order.\nAnswer: -3, -2, 0, 1, 4, 3351","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 178*q**2 - 75*q**2 + 131*q**2 + 1 + 19*q**2 as m + k*q + r*q**2 and give r.\nAnswer: 253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -350 = -n + 599. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 5279656 and 340?\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 214 = 161. Suppose 6*b - b - k = 0. Suppose 28 = 4*j + 5*p, 0 = 4*j - p - b - 3. Let r(c) = c**3 - 8*c**2 + 6*c + 9. Determine r(j).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 10 - -6. Let g be (-24)\/p - (-30)\/4. Let m(y) = y**2 - 7*y - 3. Determine m(g).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(c) = 6*c - 13. Let d be t(3). Suppose -5*a - 5 = -4*z - 50, d*a - z - 30 = 0. What is the smallest value in -1\/2, -1, 1\/7, a?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -7*r + 4. Let w be (4\/6 - 2)\/((-4)\/6). Determine v(w).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = f**3 + 6*f**2 + 3*f. Suppose -4 = -2*t - 10. Let a be q(t). What is the remainder when (-2)\/(-12) + 735\/a is divided by 12?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2*6\/((-24)\/(-1670)). Is -3 - 3\/(15\/n) a multiple of 23?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {p: 2, n: 1, d: 1, j: 1, i: 1, b: 1}. Give prob of sequence ppij.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {h: 1, w: 2, l: 1, b: 1, j: 2}. Give prob of picking 1 h, 1 b, and 1 l.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w - 15*m = -5*m - 74, -6 = 11*w + 40*m - 38*m for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put together -82980472274.2 and 0.119.\nAnswer: -82980472274.081","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 220250683 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14 - 10*q**2 - 5252*q - 9 - 5244*q + 6*q**2 + 10493*q.\nAnswer: -4*q**2 - 3*q - 23","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = -9230*w**2 + 10*w + 5. Let c(z) = 4613*z**2 - 4*z - 2. What is -5*c(q) - 2*p(q)?\nAnswer: -4605*q**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 - -2 - (2 + 3)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 z and 1 i when four letters picked without replacement from mzimzzim?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 45290989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 252635 is divided by 1477.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -28 - (5 + (5 + -14 - -5) - 1)\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put -12, 5, -2, 0, 79, -476 in increasing order.\nAnswer: -476, -12, -2, 0, 5, 79","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 101\/968 and 57\/110.\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12 + 9 = 3*m - 5*u, 5*m - 4*u = 22. Suppose -m*v = d - 6 - 2, 50 = 5*d + 5*v. Suppose -t + d = 2*t. Solve -t = f, -3*n - f = 2*n + 24 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-72884)\/(-3696) + -19 - 9\/12\nAnswer: -1\/33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*a - 48 = 33*a. Find the third derivative of 3*t**2 - 40 - a*t**2 + 24*t**5 - 38 + 28 wrt t.\nAnswer: 1440*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*l**2\/3 - 72*l - 594 = 0. Calculate l.\nAnswer: -99, -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 k and 1 z when two letters picked without replacement from {k: 5, t: 4, z: 1}.\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 258913?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p(g) be the first derivative of -23*g**5\/5 - 15*g**2\/2 + 23. Find the second derivative of p(x) wrt x.\nAnswer: -276*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 60416.21 millennia to years.\nAnswer: 60416210","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -1.9475 - -2.9475. Let t = -0.01 + -0.49. Which is the smallest value? (a) t (b) 17 (c) m\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 1 + -2 + (-15)\/(-1) and 18?\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 974518 and 9978?\nAnswer: 3326","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-4)\/160*-5)\/((-2)\/(-20)*2)?\nAnswer: 5\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d - 10 = 5*x, 15 = -x - 3*x + 3*d. Let p = 4 + x. Differentiate 2*m**3 - 2 - p + m**3 - 4*m**3 wrt m.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2, -4\/9, -0.07, 12\/313?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 14316520 + 5?\nAnswer: 14316525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -19285028 divided by -11956.\nAnswer: 1613","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-1*(5 + 3*sqrt(2736)))**2 + 4*((sqrt(304) + 0)*-1)**2)*1.\nAnswer: 360*sqrt(19) + 25865","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 7, 18, 41, 82, 147?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = -1286*q + 5158. Let w be z(4). Solve -j - 16*x + 19*x - w = 0, x = 5 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9877 is divided by 122?\nAnswer: 117","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) be the third derivative of 0*i**4 + 2*i**2 + 0*i + 0 - 1\/60*i**5 + 0*i**3. Let x(s) be the second derivative of s**4\/12 + s. What is d(x(o))?\nAnswer: -o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 10\/5 + 530\/(-2). Let s = 53 - a. Suppose 6*t = 2*t + s. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-195)\/4225)\/(((-126)\/35)\/(-3)*1).\nAnswer: -1\/26","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -v**3 - 2*v**3 - 4*v**2 + 8*v - 2*v**3 - 3*v**3 + 4*v**4.\nAnswer: 4*v*(v - 2)*(v - 1)*(v + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -15 + 21. Let d be 8*((-6)\/8)\/1. Let j = d + r. What is the smallest value in j, -0.4, -0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 266*p**2 + 319*p?\nAnswer: 532","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {q: 7, e: 2}. Give prob of sequence qqeq.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 5880?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -211*w**5 + 3*w + 43 wrt w?\nAnswer: -4220*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 766.3352m in nanometers?\nAnswer: 766335200000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -193 + 1033. Let i be 1*(-3)\/(-15) - 203\/q. Is i greater than or equal to 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*s = 3*h - 84, h - 4*h - 4*s = -88. Let u be (h\/570)\/((-4)\/(-10)). Which is the nearest to 1\/2? (a) 4 (b) -1\/5 (c) u\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20477573623 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is -147 at most -7260\/49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 71642585?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:31 AM and 7:20 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 13 + -13. Solve v = 3*d - 0*d - 3 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 25401 and 254010?\nAnswer: 254010","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) be the first derivative of k**4\/4 - 2*k**3 - k**2\/2 - 9*k + 16. Is d(10) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 7 + (3 + -3)*-1. Let a = -4 + b. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 32403674.\nAnswer: 2, 16201837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3021025 to the power of 1\/2, to the nearest integer?\nAnswer: 1738","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let v(l) = -22*l + 14. Let j(h) = -h + 6. What is -6*j(x) + v(x)?\nAnswer: -16*x - 22","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 161107987 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d(v) be the second derivative of 7*v**5\/20 + 26*v**3\/3 + 885*v**2\/2 - 518*v. What is the derivative of d(a) wrt a?\nAnswer: 21*a**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7 - (18 + -24 - 20)) + 7 + 2.\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 73 divide 64240?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 376 + -377. List the prime factors of ((-57)\/114)\/(b\/152).\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = -4*z + 126. What is d(30)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 106*k**2 - 257*k**2 - 72*k**2 + k - 245 wrt k?\nAnswer: -446*k + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 3 + (23 + -13 + -24 - (11 - 94)).\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = 25*a**2 + 2*a - 1. Let t(n) = -n**3 - 8*n**2 - n - 7. Let i be t(-8). What is the remainder when y(i) is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((g*g**(-3\/10))\/(g**6*g))\/((((g**(-2)\/g*g)\/g)\/g)\/((g\/(((g\/g**4)\/g)\/g))\/g)))**(2\/49))**(-2\/15) assuming g is positive.\nAnswer: g**(-18\/1225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*q**2\/5 - 478*q.\nAnswer: -2*q*(q + 1195)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 10 + 1de0?\nAnswer: 1df0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 5*s**3 - s**2 + s. Let p be j(1). Suppose 0 = -2*n - 3*d + 4*d + 16, 3*d - 51 = -5*n. Do p and n have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*y - 3 = -3*c - 92*y, -3*c = y - 9. Solve -2 = c*p - 0, -2*q + p = 3 for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.4 (b) -4028 (c) -0.01 (d) 0.7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 104 + -102. Solve 3*n - 1 = v, -6*v - 4*n = -x*v - 28 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*v**3\/3 + 5124*v**2 - 20512*v + 61552\/3.\nAnswer: 4*(v - 2)**2*(v + 3847)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 8\/5 in 2\/21, 51, -4\/15?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 11678, 11677, 11676, 11675?\nAnswer: 11674","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:34 PM and 11:59 PM?\nAnswer: 685","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in five quarters of a kilogram?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose -67 = -3*c + 2*t, -s*c - t + 71 = 2*c. What is the remainder when 37 is divided by c?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let 15*j**5 + 5012405*j**4 + 312400845*j**3 + 6419818755*j**2 + 41991014520*j - 30940815780 = 0. Calculate j.\nAnswer: -334098, -21, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 15 (base 11) to base 3.\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:48 AM and 5:40 AM?\nAnswer: 292","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -675*a**3 - 3*a**2 - 3*a - 31782.\nAnswer: -2025*a**2 - 6*a - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -26419\/2156 + 2\/539. What is the common denominator of x and (3\/(-15))\/((-24)\/690)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2473336 times 246?\nAnswer: -608440656","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = -64*w - 3. Let j be q(-3). Let h be ((-9)\/5)\/((-6)\/280). Suppose -h = -7*p + j. Is p a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-1\/3))**(4\/11)\/(((r*r**1)\/r)\/r**(2\/9)))**(-24) assuming r is positive.\nAnswer: r**(712\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: 0.0018 - -94210\nAnswer: 94210.0018","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 185111197 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Put 4, -4, -30\/13 in ascending order.\nAnswer: -4, -30\/13, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5963 is divided by 9.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(72) + -3 + sqrt(72))*6)**2 + sqrt(2) + sqrt(8) + 2 + (-1*sqrt(98))**2)*-1.\nAnswer: -10792 + 2589*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 3, u: 3, j: 5}. Give prob of sequence uj.\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 10173\/(-172941)*(-2*1 - 185)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2a (base 15) in base 12?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be -1*2 + 2 - -2. What is the third derivative of -2 + 2 - h*d**2 - 2*d**5 wrt d?\nAnswer: -120*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3 - 2) + (1 - -4) + -2 + -1.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -356, -651, -888, -1067, -1188, -1251, -1256?\n\"Answer: 29*b**2 - 382*b - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((2*z**3 - 4*z**2 + 4*z**2)*(-2 - 1 + 5) - 2*z**3 + 2*z**3 - 2*z**3 - z**3 + 2*z**3 + z**3)*(-11 - 9 - 16).\nAnswer: -144*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the jth term of 2698, 5466, 8316, 11260, 14310, 17478, 20776, 24216?\n\"Answer: 2*j**3 + 29*j**2 + 2667*j","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by 265?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x - 3*o + 70791 = 0, 0*x = 2*x - 3*o - 28329. Suppose 13*b - 33*b = -x. Is 59 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) be the second derivative of w**5\/20 - 7*w**4\/12 - w**3\/3 - 3*w**2 - 16*w. Let p(c) = c**3 - 6*c**2 - 2*c - 5. What is -7*p(r) + 6*v(r)?\nAnswer: -r**3 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*x = -x - 125. Let t = 43 + x. Let c = t - 4. Calculate the highest common divisor of 7 and c.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 5 + 0 + 0 - -1. Suppose 4 = 5*o - t. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 16*p - 5. Let r be 0 - (-4 + (2 - 3)). Let i be j(r). Let o be (i\/27 - 3) + 0. Which is the third biggest value? (a) 0.5 (b) o (c) -1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -6346, -50579, -170570, -404197, -789338, -1363871, -2165674?\n\"Answer: -6313*u**3 - u**2 - 39*u + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -321223313 (base 6) in base 12?\nAnswer: -1a91b39","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-20)\/(-2340)*57 + 2\/(-13). Sort 0.2, -2.5, 2\/9, d in descending order.\nAnswer: d, 2\/9, 0.2, -2.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-7 - 3*h**2 + 2 - h + 4)*(18*h - 8*h + 20*h) to p*h**3 + u*h**2 + i*h + y and give i.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let w(z) = z**2 - z. Let o(h) = 10*h**2 - 10*h - 2. Let t(u) = -o(u) + 12*w(u). Suppose 2*k - 6 = n, -4*k + 2*n - n = -14. Is t(k) a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 3640 and 312?\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23*d - 175 = -60 for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from xcdcjjcdxc?\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*f = -5*h - 6, -2*f + 3*f - 10 = 4*h. Suppose 18 = 5*j + 2*a, -4*j + 4 = 5*a - 24. Suppose 20*z - 21*z = -j. Solve f = z*o - 0 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 3 - 3.5. Let s = 409 + -409.1. What is the closest to 3\/4 in z, s, -2\/3?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*j**2 - 2*j - 5*j**2 + 3*j + (2*j + j - 11*j)*(3 + 2 - 8)*(0 + j + 0) - 6*j + j**2 + 6*j to r + k*j + n*j**2 and give n.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.50819 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 346925897 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 161581?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 617489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 1 z when three letters picked without replacement from {m: 2, a: 1, z: 1}?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = -2*u - 625. Let x be (-1 + 1)*(-2 - -1). Let a be b(x). Let s be a\/(-4 + 3205\/800). What is s rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -47*q - 38. What is the hundreds digit of a(-7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 - -1101?\nAnswer: 1043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 30243840 and 616.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -468 and 22?\nAnswer: -10296","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 287 + -346. Sort h, -4, -2 in descending order.\nAnswer: -2, -4, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1255 = -4*s - 443. Suppose 0 = -7*h + 296 - 9. What is the remainder when s is divided by h?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 115186 to the power of 1\/9, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*y + 14 = t, 20*t - 18*t + 5 = -y for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 4484653 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 = 2*m - 27. Suppose -3*r = -3*u + 15, 0 = 3*u - 3*r + 5*r - m. What is the derivative of -7*g**4 - 18*g**u - 3*g**3 + 9 + 3*g**3 wrt g?\nAnswer: -100*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -6 + -1. Let o(s) = s**3 + 7*s**2 + s + 7. Let w be o(k). Let m be (-9 + 3)*2 + 17. Solve w = -0*f + f - m for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = k**2 - k. Let o(c) be the third derivative of -c + 85*c**2 + 1\/30*c**5 + 0 + 1\/120*c**6 + 0*c**3 - 7\/24*c**4. Calculate 4*b(h) - o(h).\nAnswer: -h**3 + 2*h**2 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -84225 divided by 600?\nAnswer: -1123\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 7125 and 50?\nAnswer: 14250","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.3 times 2091073?\nAnswer: -627321.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (63*h**3 - 121*h**3 - 142*h**3)*(3*h - 2*h + h).\nAnswer: -400*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -993 divided by -434.\nAnswer: 993\/434","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1.70851 and 80?\nAnswer: 136.6808","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(-18))**(-21\/8) assuming c is positive.\nAnswer: c**(189\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 1830029 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5775)\/210*5\/((-50)\/4)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.84 - -0.16. Let d = h - 1. Let p = -0.26 - 4.74. Which is the third smallest value? (a) d (b) p (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -791*q + 4 - 1574*q - 15 + 11 to the form t*q + l and give t.\nAnswer: -2365","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (-126)\/(-14)*5\/9\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 18777, 37556, 56335?\nAnswer: 75114","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 3616 and 13252.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 17 = -2*s - 0*s, -4*y + 3*s = -73. Suppose 4*u + 4*t + 48 = 0, -2*u = -0*t - 3*t + y. Let l = -6 - u. List the prime factors of l.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4241.78 times 2?\nAnswer: 8483.56","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/4 in -6, -23, -93196?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*d + 3*d = -22. Suppose -d = -2*b + 5. Calculate the greatest common factor of b and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -33 + 33. Suppose 5*z = 7 - 32, l = -m - 2*z - 5. Suppose -8*r - m = -53. Put -1\/4, r, 2\/15 in increasing order.\nAnswer: -1\/4, 2\/15, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4310406?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 + 28. Calculate the remainder when 43 is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 73714 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(t) = -11*t - 7 - 9 + 16. Let d(k) be the first derivative of -3*k**2\/2 + 168. Calculate i(d(o)).\nAnswer: 33*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(m) be the first derivative of -m**4\/24 - m**3\/6 + m**2\/2 + 2. Let z(y) be the second derivative of q(y). Let a be z(-3). Solve a*v - 6 = 2 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*l - 354 = 4*s - 380, l + 4*s = 27 for l.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 10 at least as big as 54\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in seven quarters of a microgram?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence tt when two letters picked without replacement from {t: 3, w: 4, s: 1, b: 4, n: 1}.\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(847)*3 + 4)**2 + 1.\nAnswer: 264*sqrt(7) + 7640","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*k + 279 = -3*l + k, 2*l = -5*k - 195. What is l rounded to the nearest 100?\nAnswer: -100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i - i + 8 = 0. Calculate the remainder when i\/8 + 1630\/40 is divided by 21.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1551265050.\nAnswer: 2, 3, 5, 173, 59779","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in -2\/11, -1, 4\/9, -1\/8?\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many millennia are there in 88.54581 centuries?\nAnswer: 8.854581","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 0 + 1. What is the highest common divisor of 7 and t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2 - -1)*(-4)\/3. Let o(r) = -r**2 - 6*r + 4. What are the prime factors of o(w)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*g = -3*w + 5*w - 1074, -2 = g. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -19 + 20. Let d be 2 + 2 + (k - 0). Suppose 0 = -2*r - 2*b + 44, d*r = -4*b + 106 + 7. List the prime factors of r.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -0.1 or -428?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 1141 divide 8038345?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 23 = -5*t - 2 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6 - 11 - 9)*(-3 - 1 - 9*b + 7*b + (1 + 1 - 1)*(-3*b + 6*b - 4*b) + 2*b - b - 3*b).\nAnswer: 70*b + 56","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (140 - 150) + -1 + 3?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) = 3 + 6 - 3 + 16*d. Let a(n) = -n**3 + 10*n**2 + 3. Let y be a(10). Is x(y) a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -80160.716953 + 80103.717. Let c = a + 57. What is c rounded to 5 decimal places?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 914946 to the nearest integer?\nAnswer: 97","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 4843, 9665, 14479, 19285, 24083, 28873?\nAnswer: 33655","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 < 105\/52?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(a) = -322*a - 74375. What is t(-231)?\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes after 5:11 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 3*h**3 - 5151 + 5173 - h**3 to p*h**3 + v + y*h**2 + a*h and give p.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 115 + -66. Let n = 15\/137 + -18311\/822. What is the common denominator of r and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y = 2*y - 35 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*k - 5*b - 11 = 0, -2*b - 87 = 19*k - 47 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(t) = 7*t**2 + 2*t + 5. Is k(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 3092501 to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3215 or 3327?\nAnswer: 3215","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of z**6\/24 + 7*z**5\/10 + 39*z**4\/16 - 7*z**3\/6 - 5*z**2 - 906. Suppose j(w) = 0. Calculate w.\nAnswer: -10, -4, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2 a factor of 21129?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 38456?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 315 and 1071?\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 z when four letters picked without replacement from {z: 7}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.035, 5, 0.37, -15?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -i - 5 = 0, -4*k + i + 2 + 3 = 0. Solve k*g = g for g.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 10205*s**4 - 14*s**3 + 5*s - 83286729?\nAnswer: 40820*s**3 - 42*s**2 + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 1277 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let g(r) be the second derivative of r + 0*r**3 + 5\/12*r**4 + 3\/10*r**5 + 0*r**2 + 0. Find the third derivative of g(j) wrt j.\nAnswer: 36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 11 (base 6) to base 2\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let -4*d**4 - 64*d**3 - 252*d**2 - 368*d - 176 = 0. What is d?\nAnswer: -11, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tystsmtttcssysscttts. What is prob of picking 2 s?\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 33\/16370 and -73\/1090242?\nAnswer: 5451210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 24122 + 3610.1317?\nAnswer: 27732.1317","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many grams are there in 11\/2 of a kilogram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.05 - -0.1536?\nAnswer: 0.2036","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4546825*o**3 - o**2 + 37123*o - 2.\nAnswer: -27280950","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = 10*i + 1. List the prime factors of a(2).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*r + 4*j = 22, j = -3*r - j + 13. Let i be 1*(r - (0 + 0)). Which is the nearest to -1? (a) i (b) -1 (c) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -19 = -5*v + 2*n, 0 = 4*v - 0*n - 2*n - 16. Suppose -x + 1 = -v. Suppose -2*m = -6*m + x. Calculate the least common multiple of 7 and m.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -265.75 rounded to the nearest ten?\nAnswer: -270","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*c + 41 = 52*c - 407 for c.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) be the second derivative of -20*s + 16\/3*s**3 + 0 + 0*s**2 + 1\/120*s**5 + 7\/24*s**4. Let x(z) be the second derivative of k(z). Give x(0).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2124? (a) -2\/5 (b) -7 (c) 4 (d) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -619*m - 5*i = -622*m + 210, 19 = -2*m + 4*i + 102 + 55 for m.\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (8\/(-10))\/((-6)\/15). Suppose 294 = -z + u*z. What is the remainder when z is divided by 75?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = 9*h + 706. Let r be j(-78). What is the highest common factor of r and 824?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(t) be the first derivative of t**4\/30 - 2*t**3\/15 + t**2\/5 - t + 9. Let i(a) be the first derivative of x(a). Let i(u) = 0. Calculate u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -63*p + 186. Let m(h) = 22*h**2. What is m(l(k))?\nAnswer: 87318*k**2 - 515592*k + 761112","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:04 AM and 6:01 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 77 is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out -199869487 * -0.2.\nAnswer: 39973897.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = -y**2 - 30*y - 148. Calculate g(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 2277 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -14 + (10\/15)\/((-2)\/(-3)). Which is the nearest to -0.1? (a) -2\/23 (b) -2\/7 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -9 + 5 - (-346 + 343) - (45 + -1).\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (0 - -1)\/((-8)\/(-48)). Suppose -16 - 26 = -i*y. List the prime factors of y.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 + 1 - 3)*(-47 - 150*r - 110 + 149*r).\nAnswer: -3*r - 471","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.31 - 11.69. Let n be 14400\/900 - (424\/30 - -2). Which is the third biggest value? (a) l (b) 2\/9 (c) n\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.5953 - -0.59527203. What is o rounded to five decimal places?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 132535*o + 28483 wrt o?\nAnswer: 132535","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1349 + -1344. Does r = 4.5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {c: 3, q: 11, k: 3, v: 1, h: 1}. What is prob of picking 1 h, 1 c, and 1 k?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r + 382 = 1258. What is the remainder when r is divided by 64?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -2812, -11167, -25100, -44611?\n\"Answer: -2789*o**2 + 12*o - 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 != 52268000?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Determine c, given that 3*c**2\/2 - 43452732*c + 314689986377304 = 0.\nAnswer: 14484244","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) be the second derivative of -5\/12*u**4 + 0*u**5 + 5*u + 1\/30*u**6 + 0*u**2 + 0*u**3 + 0. Find the third derivative of z(i) wrt i.\nAnswer: 24*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -243359044 + 243358865.000219. Let i = 179 + t. Round i to five decimal places.\nAnswer: 0.00022","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 1026 and 2508.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 5 = -10*s. Sort s, -4, 3 in decreasing order.\nAnswer: 3, s, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 87355 is divided by 633?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -30022 - 4?\nAnswer: -30031","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 95 + -246. What is h rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 3\/6 + (238\/4 - 1). Let l = r + -24. List the prime factors of l.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 1 - -433c?\nAnswer: 4340","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -r + 4*j + 12, 6303*r - 5*j + 6 = 6307*r for r.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -10*n = -14*n + 12 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = -3*c**3 + 4*c**2 - 12*c - 10. Let z be n(9). Let v = 2987 + z. Suppose 3*m - 5*a = m + 507, -v = -4*m + 2*a. Is m a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 89211 is divided by 338.\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 - -16. Suppose 0*q - 2*q = 2*q. What is the third smallest value in n, q, 0.5?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*q - 3*q + 2*q + (-1 - 1 + 3)*(q - 3*q + 0*q) + 13*q + 20*q - 11*q - 3 + 3 + q + 5*q - 3*q + 0*q + (2 - 2 - 2*q)*(-3 + 3 - 2) - 3*q + q + q.\nAnswer: 22*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6951.\nAnswer: 3, 7, 331","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4\/27*2192\/4384.\nAnswer: 2\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -861\/215 - -155\/43. What is the smallest value in 5, w, 235?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 10\/6 - (-3)\/9. Suppose 2*i + 13 = -g, r*i - i - 5*g - 21 = 0. Let f(b) = b**3 + 4*b**2 - 2*b + 5. Is f(i) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -1130*b + 96*b + 2*b**2 + 634*b + 20000.\nAnswer: 2*(b - 100)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 2 - (3*-11 - 3). Let w = u + -32. Let l = w - -4. Which is smaller: l or 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -57576*p - 2*p**4 + 3*p**2 - p**2 + 57573*p + 1 to the form m*p + y*p**4 + d*p**3 + u + n*p**2 and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {j: 1, s: 2, o: 2, n: 1}. Give prob of picking 1 s and 2 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 35679 > 35678?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mmdd when four letters picked without replacement from ddmddmd?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.212216 rounded to three dps?\nAnswer: -0.212","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b(v) be the first derivative of 11*v**6\/6 + v**4 - 8*v**3\/3 + v - 46. Find the third derivative of b(w) wrt w.\nAnswer: 660*w**2 + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65290*b + 65185*b = 1575 for b.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*m**2 + 3*m**2 + 270*m**3 + 119*m**3 + 7*m**2.\nAnswer: 389*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -11 + -25720?\nAnswer: -25731","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3.720204 millimeters?\nAnswer: 0.3720204","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -117\/79904740 and 77\/39952370.\nAnswer: 79904740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 140*-43\nAnswer: -6020","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -818 - -952. Is 80 a factor of m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 2, -9.2, -0.4, 322, -164?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 2399, 6471, 10541, 14609, 18675, 22739, 26801?\n\"Answer: -q**2 + 4075*q - 1675","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrraaaarraaararraaaq. What is prob of sequence raqr?\nAnswer: 77\/14535","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -3.7*0.6.\nAnswer: -2.22","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22 = 4*c - 2*n, -3*c + 4 = 2*n - 9. What is the second derivative of -2*s - 5*s**5 + 9*s**5 + 6*s**c - s wrt s?\nAnswer: 200*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -42\/5*t**2 + 1\/5*t**5 + 0 + 27\/5*t + 2*t**4 + 4\/5*t**3.\nAnswer: t*(t - 1)**2*(t + 3)*(t + 9)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + 5*g - 1. Let n be v(-4). Let f be (-5)\/2*4\/n. Suppose 3*m + f*m - 30 = 0. Calculate the remainder when m is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20915 to the power of 1\/5, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 7*o - 2. Suppose -126*s = -121*s - 25. List the prime factors of d(s).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.089 * -79088.\nAnswer: 7038.832","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -58 - 70 - 93 - 32 - 9*r**3 + 43 - 5*r**2 wrt r?\nAnswer: -27*r**2 - 10*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 2*w**2 - w - 3. Let b be 31 + -2 + 0 + 3. Suppose 3*m + 2*p + b = 0, 0*m - 2*p + 16 = -3*m. Let o(r) = 5*r**2 - 3*r - 8. Calculate m*v(z) + 3*o(z).\nAnswer: -z**2 - z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 122 and 1769.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 426572 is divided by 63.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1 + 35\/(-15) + (-31678)\/(-9)*3?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a - 3*a = 5*x - 5, 4*a - 5*x = -35. Let i(n) = n**3 + 6*n**2 - 5*n - 2. What are the prime factors of i(a)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6584?\nAnswer: 2, 823","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -11303 - -20740. List the prime factors of k.\nAnswer: 9437","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q + 9 = -6. Suppose -5*p = -t + 4 + 7, 2*t - 9 = -q*p. What is the greatest common factor of 18 and t?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*a = l - 30, l + 0*a - 3*a - 12 = 0. What is the remainder when l is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -33781380167 plus -18?\nAnswer: -33781380185","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -3\/5, 2, -0.04, 2\/47?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 52\/(-39)*(1 + (-29)\/2). Suppose 7*h - s = 192. Does 13 divide h?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 752624 is divided by 83535?\nAnswer: 809","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.02 in -2, -5\/6, -6, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**3 - d**2 + 2*d. Let i be u(-2). Let j be (i - 3\/(-12))*4. What is the first derivative of -6*k**4 + 3*k**4 - j + k**4 wrt k?\nAnswer: -8*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1\/2? (a) 5 (b) 1 (c) -22 (d) -237 (e) 3 (f) -1\/32\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 75\/(-9) - 2\/3. Let d be (-2)\/(-3)*u\/(-2). Suppose 7*o - d*o = 104. Is o a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -250? (a) 2\/5 (b) -2\/33 (c) -2\/13 (d) 1\/103 (e) -0.2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 2\/7 + 359\/(-7). Let t = -34 - p. What is the remainder when t is divided by 9?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) 5 (b) 2 (c) 1\/4 (d) -15 (e) 1\/5 (f) 0.032\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -1353 divided by -123?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth smallest value? (a) -4 (b) 2\/7 (c) 14 (d) -0.1 (e) -0.01\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = 45*n**3 + 1091*n**2 - 2280*n + 211. Let y(w) = -44*w**3 - 1062*w**2 + 2280*w - 210. Let u(j) = -4*p(j) - 6*y(j). Suppose u(h) = 0. What is h?\nAnswer: -26, 2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -55\/26 and 19\/54114.\nAnswer: 703482","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Convert -112333 (base 5) to base 16.\nAnswer: -ffd","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -l + 1 = -a, -3*a - 3 = 10*l - 9*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 619474.\nAnswer: 2, 309737","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1181 is divided by 695.\nAnswer: 486","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -3241 + 1631. Find the common denominator of 1\/35*l\/28 and 149\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1701*u + 10 = 1703*u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 496 is divided by 106?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 10 = -d. Suppose d*n - 4*t + 5*t = -10, -4 = -n + t. Is 12 a factor of -2 - (0 - 30 - n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (16\/20)\/((-4)\/(-10)). Solve -10 = 2*d + b*m - 7*m, -2*d - 5*m = -10 for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.3 - 10131256037?\nAnswer: -10131256033.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*b - 1242 = -3*z + 108, 0 = 3*z. Suppose h = 4*h + b. Let l = 278 + h. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 327610\/3 + 724\/3*c + 2\/15*c**2.\nAnswer: 2*(c + 905)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(s) = 528*s**2 - 187. Let b(r) = -17*r**2 + 6. Let v(l) = 0 + 10 - 3*l**3 - 2*l**2 - 21*l**3 + 5 + 53*l - 54*l. Let m be v(2). Calculate m*b(d) - 6*w(d).\nAnswer: 11*d**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-18)\/(-15))\/(4\/10). Let j(w) = -w**3 + 2*w**2 + 5*w - 2. What are the prime factors of j(g)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qqqqqqqmmqmqqqqqqq. Give prob of picking 3 q.\nAnswer: 455\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 1746*a**4 + 2786*a?\nAnswer: 20952*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2886889142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (-21*n**2 - 107*n + 24*n**2 + 95*n + 2)*(0*n - 3*n + n) in the form p*n**2 + l*n**3 + h + m*n and give l.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1636*u + 3266*u - 1629*u.\nAnswer: u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 61 (base 7) in base 4?\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 20*r - 17*r = 24, 22 = p + 5*r for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*t = 24 - 30. Suppose 5*w - 101 + t = 0. Let b be (-9)\/(-2) + 1\/2. Solve -3*y + w = -b*v, -y = -v - v - 7 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 13\/24429276 and -191\/22140.\nAnswer: 122146380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -2 or 135?\nAnswer: 135","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/40 of a meter in micrometers?\nAnswer: 75000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5983884 is divided by 79785?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggg when four letters picked without replacement from {g: 6}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -162 = 2*b - 13*y, 32*y + 39 = -8*b + 7*b + 19*y + 16*y for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(a) = -3*a + 3. Suppose 4*x + 4*c = 0, x - c = -4*x - 18. Give m(x).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 360165338?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes after 10:12 PM?\nAnswer: 9:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -199*w. Let z(f) = 12718*f. Calculate d(z(s)).\nAnswer: -2530882*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4962 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zoczzzzzz. Give prob of sequence zc.\nAnswer: 7\/72","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.5 + -0.08386?\nAnswer: -0.58386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(42) - (sqrt(42) + sqrt(2688)))*-3 + (4*sqrt(1050) - sqrt(1050)))\/((sqrt(36)\/sqrt(6) + sqrt(6))*2 + sqrt(48)\/sqrt(2)).\nAnswer: 13*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -39\/65569 and 129\/100282.\nAnswer: 1704794","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + (5*(sqrt(99) + -2*sqrt(99)) + sqrt(99) + sqrt(99) + 1*(sqrt(99)*-3 - sqrt(99)))\/((sqrt(90)*-2)\/sqrt(10) - sqrt(900)*-3).\nAnswer: -sqrt(11)\/4 + 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3*1 - (-6)\/(48\/20). Sort q, 2\/7, 4\/7, 5 in increasing order.\nAnswer: q, 2\/7, 4\/7, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 270 minutes after 5:08 AM?\nAnswer: 9:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -2 - 1ec1fc?\nAnswer: -1ec1fe","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 4\/14 - 24\/(-14). Let m(r) = -4*r + 4*r - 2*r. Let c be m(-5). Solve c = -f*i - 0 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*g**5\/5 + 634*g**4\/5 - 13482*g**3 + 489510*g**2 - 926100*g.\nAnswer: -2*g*(g - 105)**3*(g - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-9)\/(-6))\/(1\/(-2)))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 41 + -32. Calculate the greatest common factor of 27 and z.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 12 and 464?\nAnswer: 1392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 455239?\nAnswer: 23, 19793","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is one tenth of a millennium in centuries?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 4235, 4234, 4233?\nAnswer: 4232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let c(v) = -8*v + 2. Let a(h) = -h + 1. Let l(b) = 6*a(b) - c(b). What is l(-6)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34596 divided by 1922.\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 54534 a multiple of 59?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine k so that -k**3\/3 - 172*k**2\/3 - 1292*k + 110976 = 0.\nAnswer: -102, 32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -142, -124, -106, -88, -70, -52?\nAnswer: -34","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 27, 35, 43, 51, 59, 67?\nAnswer: 75","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = -56*i**2 - 10. Let y(p) = 11*p**2 + 2. Let n(r) = -2*s(r) - 11*y(r). Find the first derivative of n(d) wrt d.\nAnswer: -18*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 69 is divided by 37.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -3 + sqrt(125) + (5 + sqrt(40)\/sqrt(8) + -1)**2.\nAnswer: 13 + 13*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -5\/11, -14147, 4?\nAnswer: -5\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**4\/5 - 44*q**3\/5 + 16*q**2.\nAnswer: 2*q**2*(q - 20)*(q - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (12\/10)\/((-2)\/(-5)). Suppose 10*u = 31*u - 147. Suppose u = 3*k + 2*c - 11, 0 = 4*c. Solve s*g = k*g + 15 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = 2*p**2 + 69*p + 241. Let x be j(-32). Solve 65*b = 74*b + x for b.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-1 - 2 + 4)*(0*a + 0*a - 3*a) + (-6 - 4*a + 6)*(4 + 1 - 4))*(0*a - 2*a + a) to the form c*a**2 + h + j*a and give c.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) be the second derivative of q**6\/360 + 4*q**3\/3 - 5*q. Let m(k) be the second derivative of d(k). Let n(a) = 8*a. Determine m(n(u)).\nAnswer: 64*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 20212231132303 + 1?\nAnswer: 20212231132310","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.01 - -4.01. Suppose 6*m + 42 + 12 = 0. Let i be (-3)\/m - (-4 + 4). Which is the closest to -0.1? (a) -3 (b) i (c) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1\/2? (a) -2\/21 (b) -9 (c) 3\/2 (d) 4 (e) -244\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 635067831*x - 635067831*x + 6*x**3.\nAnswer: 6*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 47 + 132. What is the tens digit of g?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 12798864 to the nearest integer?\nAnswer: 234","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -26*r + 5. Let k = -2 - 2. Is x(k) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8*p**2 + 3*p**2 + 10*p**2 - 94 + 94.\nAnswer: 5*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 391431 is divided by 3075.\nAnswer: 906","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 311677 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:32 AM and 3:29 PM?\nAnswer: 597","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1429 is divided by 695.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 126 - 113. Is o bigger than -4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 421 is divided by 25.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**1)**(-42))**(-35) assuming a is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 4, -3, 24, -1 in decreasing order.\nAnswer: 24, 4, -1, -2, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Does 141 divide 73743?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*y**5\/7 - 2844*y**4\/7 + 72232*y**3\/7 + 71980*y**2 - 258150*y - 10819000\/7 = 0.\nAnswer: -5, 5, 31, 1396","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -2603 or 985\/2?\nAnswer: 985\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 10020 - 6742. Let k = -19583\/6 + g. Calculate the common denominator of k and 49\/3.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -14.916 and -628.\nAnswer: 9367.248","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) -4 (c) 0 (d) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*l = -2*j - 26 + 22, 5*j = -10 for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20 = 40*m - 42*m. Suppose -4*v = v - 170. Let j = v + m. What is j rounded to the nearest 10?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = 2*b + g, 3*b - 8*g - 15 = -3*g. Let w(v) = -v**2 - v - 6. Determine w(b).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(k) = 26 - 22*k - k**3 - 2 - 29*k**2 - 32*k. Calculate the remainder when 41 is divided by o(-27).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/2)\/(((-5742)\/242 + 24)\/8).\nAnswer: 44","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 170741519 to the nearest integer?\nAnswer: 13067","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10 - -13. Let p(w) = w + 5. What is the remainder when p(s) is divided by 5?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 11:05 PM?\nAnswer: 582","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(b) be the second derivative of b**3\/6 + b**2\/2 - 4*b. Let c be s(2). Solve -2*d - c*d = -4*h + 13, -4*h = 4*d - 4 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -4, 45\/7, -4\/9?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 11838986\/203 - 58320. What is the common denominator of v and -53\/87?\nAnswer: 609","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-11)\/3)\/((-261)\/1566))\/(-2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 117 and 234.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2 + 0. Let x be 1 + (-3)\/3 - y. Suppose -12 = -x*t - w + 5*w, 0 = 5*w - 15. List the prime factors of t.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.2, 27, -1, 3, 4, 1\/6, 24 in decreasing order.\nAnswer: 27, 24, 4, 3, 0.2, 1\/6, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 4 and 587?\nAnswer: 2348","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((3\/(-12))\/(2\/4))\/(-2)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 5}. What is prob of picking 3 u?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (16\/42*30 - 3) + 513\/(34 - 91).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -34623*f**3*h**3*l - 377*f**3*h**2*l + 1213*f**2*h**2 + 111*f*h**3 + 4*f*h*l - 4*f*h wrt f?\nAnswer: -207738*h**3*l - 2262*h**2*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1222\/(-16))\/((-10)\/80). Calculate the greatest common factor of 208 and m.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is ac6 + 41bdb?\nAnswer: 427b2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804017647 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-6 - (-78)\/12)\/((-3)\/(-72)). Let w be 2\/6 + (-102)\/9. Let x = c + w. Put x, -5, -1 in descending order.\nAnswer: x, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k = -4*i - 4, 4*i + 12 = 3*k - 2*k. What are the prime factors of (216\/20)\/(i\/(400\/(-12)))?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u - 36 = -3*n, 4*n + 151*u = 152*u + 48. Solve -3*f - f + n = a, 5*f = -5*a for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 583488\/162 + (-4)\/(-18) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -291492 divided by 72873?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44323 - 22159 + 105*f**2 - 22164 - 25*f**2.\nAnswer: 80*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -5*s - 6. Let g(l) = 6*l + 6. Let y(v) = 6*g(v) + 7*z(v). What is the remainder when 5 is divided by y(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 6909719.\nAnswer: 6909719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s**4 + 4*s**4 - 3*s**4 + (3 - 3 - 2*s**3)*(4*s - 2*s + 0*s) + 2*s**4 + 3*s**3 - 3*s**3.\nAnswer: -3*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = 3*t**2 - 8*t - 21. Let f be j(-2). Suppose -25 = 5*k, 6*g + 2 = f*g + 4*k. Solve -g = 2*u - 4*z, 5*u - z + 25 = 3*z for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from vvvv. What is prob of sequence vv?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -0.43 - -0.24. Let r = 0.11 + u. Let q = r + -0.02. Put q, 3, 1\/2 in decreasing order.\nAnswer: 3, 1\/2, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = 4*j**3 - 122*j**2 - 26*j + 97. What is the remainder when z(31) is divided by 64?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 1340?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 11377 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) be the third derivative of u**5\/90 - 25*u**4\/18 + 625*u**3\/9 + 62*u**2. Factor n(q).\nAnswer: 2*(q - 25)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:43 AM and 1:30 PM?\nAnswer: 467","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rrjojbrdbmrmr. Give prob of picking 1 r, 2 j, and 1 o.\nAnswer: 1\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*0.578.\nAnswer: 0.0578","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -23 - -3. Let u = r + 23. Find the first derivative of 5*z - 5 + 4 - 3 + u wrt z.\nAnswer: 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -376e (base 15) in base 5?\nAnswer: -334204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 - (4 - (4 + -2)). Let u be (-1 - 1)*4\/(-8). Suppose -m = -0 - u. Sort g, 4, m in ascending order.\nAnswer: g, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 37135630 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Divide 783 by 87.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 6, o: 6, u: 2, v: 1, q: 2, e: 3}. Give prob of picking 1 o and 1 u.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of k*p**6 - 388*k*p**3 - 198*k + 3*p**2 wrt p?\nAnswer: 120*k*p**3 - 2328*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 + -170 - (-15 - 24)) + (1 - 3) + 0.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 435 and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence smts when four letters picked without replacement from {g: 6, s: 1, a: 4, t: 1, m: 1}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(g) = -2*g. Let p(o) = -2105*o**2 + 45*o. What is p(j(i))?\nAnswer: -8420*i**2 - 90*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Add together -0.3 and -300.9.\nAnswer: -301.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-29)\/((-87)\/10467) - (3 - 1)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 5*u**3 + 7*u**2 + 3*u. Let n(t) = t**3 + 1. Let f(o) = g(o) - 4*n(o). Is f(-3) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 - -7. Suppose 0 = m*p + 12, -2*t + 16 = -0*p - 5*p. Suppose -s - 3*q - 2 = 10, 2*q - 6 = 4*s. Put s, 1, t in descending order.\nAnswer: 1, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(y) = y**3 + 13*y**2 + 13*y + 15. Let g be j(-12). Suppose -5*p = -2*s + 62, -2*p = -0*p + g*s + 40. Let f be ((-19)\/(-2) + 1)*164\/(-123). Is f at least p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -b**2 + 1. Let z be j(2). Let w(n) = n**3 - 8*n**2 - 22*n + 19. Let c be w(10). Sort c, z, 12.\nAnswer: z, c, 12","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**3 + 19*p**2 - 59*p - 3. What is a(9)?\nAnswer: 276","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(-1\/4)\/y)**(-11)*y**10\/y**3 assuming y is positive.\nAnswer: y**(83\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is d - 1552?\nAnswer: -1543","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (255\/170)\/(0 - (-6)\/64).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be ((-1)\/3)\/(5\/(-5)). Let d = -0.52 + 0.02. Which is the nearest to 2? (a) d (b) u (c) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 179170?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 3, w: 3, k: 1, a: 1, b: 9, i: 1}. Give prob of sequence ibaf.\nAnswer: 1\/2720","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 2 + 1 + (-1 + 3 - 1)*(1 - 3 + 1) + 4 + 2 - 3)*(-3 + 1 + 1)*(2 + 0 + 6)*(b + 2*b - b).\nAnswer: -16*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 12\/8 - 370\/4. Let c = -89 - n. Suppose 3*l = c*o + 7*l - 3962, 3*o - 4*l - 5903 = 0. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-9)\/27)\/((-1)\/9)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*w - 876 = -156. Calculate the greatest common divisor of 12 and w.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 a when two letters picked without replacement from {q: 10, a: 2}?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42268887?\nAnswer: 3, 509, 9227","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 63021174?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Convert 64 (base 11) to base 12.\nAnswer: 5a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 1286 divide 7721144?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*j - 2 = -2*r, 5*r = -j + 4 - 5. Is (-3*(-1 + 18))\/j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 1751*x**5 + 9571*x**2.\nAnswer: 105060*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9179624 is divided by 834508?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v = 25 - 9 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(y) = y - 4. Let z be x(10). Let s be 3*2\/z*2. Let o(v) be the third derivative of -v**6\/120 + v**5\/12 - v**4\/6 + v**3\/3 + v**2. Give o(s).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(x) = -12*x - 4. Give h(-2).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2857 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 2829010?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -122422 (base 5) to base 16\nAnswer: -1281","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x - 5*f + 15 = 4*x, 0 = x + 2*f - 4. Let m = 5 + x. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3712*c - 1640*c - 76664 = 0 for c.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 - 7*a**3 + 5*a**2 + a**2 to the form u*a**3 + w*a**2 + b + i*a and give u.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:40 PM and 5:19 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000026863 to 5 decimal places.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 5*k**3 + 260*k**2 - 2*k - 127. Determine a(-52).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 122 is divided by ((-3)\/(-9))\/((-740)\/744 - -1)?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*h - 2*h - 2*h)*(-3 - 3 + 4)*(1 - 3 + 1)*(3*h + 8*h + 0*h) in the form a + s*h**2 + z*h and give s.\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 1.9331 rounded to two decimal places?\nAnswer: 1.93","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -81? (a) 0.4 (b) -2\/7 (c) -11\/3 (d) 8 (e) 6\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 298 divided by 8698\nAnswer: 149\/4349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 divided by -7543395?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 614873 is divided by 12548.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 737493?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = z**2 + 6*z + 9. Let o be r(-5). Suppose -5*k - o*g + 708 = 0, -5*k - 254 = -3*g - 948. What is the highest common factor of 28 and k?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 1, z: 1, h: 2, a: 1}. What is prob of sequence ha?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 74681101 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/(2\/(-8)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = -2*i**2 - i - 1. Let j be x(-1). Let z be (j - -14) + 2 + 0. Let m be z\/4 + 4\/(-8). Solve -m = -2*q + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -2 - -7. Let q = 0.11 - -0.59. Let o = 3347.5 - 3348. Which is the smallest value? (a) -2\/5 (b) o (c) l (d) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 48\/162 - 2\/(-9). Let w = u - 152\/189. Let i = 0 + 0.2. Which is the nearest to 0? (a) i (b) -2\/3 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 6322?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 56, -284, -1042, -2416, -4604, -7804, -12214?\nAnswer: -18032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 81305, 0, -4 in decreasing order.\nAnswer: 81305, 0, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6\/(-18) + ((-6)\/18)\/((-1)\/3817) is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 11363470 is divided by 24.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 291153?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 197019\/6281 - 106\/571. Suppose -3*q = -5*s + 161, s + 4*q = -q + 21. Let i = h - s. Which is the biggest value? (a) 4\/7 (b) i (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 179\/2478 and -86\/5439.\nAnswer: 641802","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 167258589229 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 57487 is divided by 5520?\nAnswer: 2287","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 117\/3065890 and 28.\nAnswer: 3065890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -1153, 9744, 27903, 53324, 86007, 125952?\n\"Answer: 3631*c**2 + 4*c - 4788","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 217989 and 48124?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 31 + -46 + (5 - 1).\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -20 + 12. Let n be (-1)\/(36\/m - -4). Solve -r + n*r = -4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 times -4712980?\nAnswer: 9425960","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w**2\/5 + 12*w - 216\/5 = 0. What is w?\nAnswer: -18, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 95\/108 and 82\/351.\nAnswer: 1404","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - i = 18, 5*q - 9 - 12 = 2*i. Let u = -1 + q. Solve 0 = -u*c + 3*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2315 + 4319 = 214*h for h.\nAnswer: 31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = -d**3 - 2*d**2 + d - 2. Let r be 4 + -2*(-3)\/6. Suppose 0 = -b - 2*s - s - 3, -s = -r*b - 15. What is the units digit of z(b)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (496\/(-372))\/(1 + (2 - (0 + 1))). Is 1\/792 smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of (245 + -3)*(103 - 99) and 605?\nAnswer: 4840","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.76 + -0.24. Let n = -8 + 15\/2. Is i at most n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -18, -38, -56, -72?\nAnswer: -86","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = 3*x**2. Let q = -86 + 90. Let t(d) = -2*d + 0*d - q*d. What is g(t(o))?\nAnswer: 108*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 17966 is divided by 1123?\nAnswer: 1121","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -5258 (base 10) to base 3\nAnswer: -21012202","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 1? (a) -2 (b) -0.09 (c) 2 (d) -74\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -61.69 - -62. Let o = 0.09 + w. Suppose 5*p + 14 = 4*t, -4*t - 2 = -4*p - 14. What is the nearest to t in o, 0.3, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((6\/(-4))\/(-3))\/(3030\/(-115140))?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**5 + d**5 - 3*d**5 + (0 + 0 - d)*(d**4 + 3*d**4 - 3*d**4) - 167*d**3 + 777*d**3 - 11*d**5 - 228*d**3 - 117*d**3.\nAnswer: -13*d**5 + 265*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"} +{"text":"Question: What is 0.3 minus 244?\nAnswer: -243.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from qevvggqgygeeeqgg.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 51?\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 126, 254, 430, 678, 1022, 1486?\nAnswer: 2094","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 35838343511 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*v**3 - 7*v - 2*v**2 + 3*v**3 + 4*v**2 + 5*v to d + b*v + z*v**3 + t*v**2 and give t.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -382 + 540. Suppose 2*h - h = -5, b - n = 2*h. What is the remainder when b is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2.12 at least as big as -2403?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kby when three letters picked without replacement from bkkykyyykb?\nAnswer: 2\/45","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 0 (b) 19\/3 (c) 1\/4 (d) -0.2 (e) -35 (f) 0.5\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from npqqnpqppnqnzpn. Give prob of sequence zpq.\nAnswer: 2\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_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 3*v - 2*v - 1867 = b, -5*b = 15. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = 3*j - 94. Let z be (-1155)\/(-28) + -9 - 1\/4. Let p be v(z). Solve 10 = p*c + 2 for c.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 2485 and 28.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 319165130*z**2 - 266*z - 217577 wrt z?\nAnswer: 638330260","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -155*r**2 + 96778135*r - 6243750.\nAnswer: -5*(r - 624375)*(31*r - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 3*s - 55 = 83, v - 2*s = 41. Is 22 a factor of v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 356*b**4 - 303*b**3 + 37979*b**2 + 2*b?\nAnswer: 8544*b - 1818","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 12536621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*j**3\/7 - 116*j**2\/7 - 32*j.\nAnswer: -2*j*(j + 2)*(j + 56)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) -4\/7 (b) -0.4 (c) -11592 (d) 2\/5 (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 32 and 352?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 432223 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be (1 - -4) + (-7 - -2). Suppose 2*f = 5*u + 20, 2*u - f = -3*u - 20. Let t be (3\/1)\/((-6)\/u). Solve y = -t*j - 2*j + 16 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*s - s. Suppose -5*a + 0*a - 20 = s. Let i = 20 - a. Is 19 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 213466*i**3*k**3 - 392*i**3*k**2 - 3*i*k**2 - 9*i*k - 3*k**2 wrt k?\nAnswer: 1280796*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = m**2 - 59*m - 941. Calculate x(77).\nAnswer: 445","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*z - z + w - 158, 2*z - w - 97 = 0. What is the remainder when 221 is divided by z?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*i + i + 0*i)*(2*i - 4*i + 0*i)*(-2*i - i**2 + 3*i + 3*i).\nAnswer: 2*i**4 - 8*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -11100001110001101000110 (base 2) in base 11?\nAnswer: -41a342a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -82.9 + 92.84. Round i to 1 decimal place.\nAnswer: 9.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth root of 2492 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 5756 rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is -593750.4 rounded to the nearest one hundred thousand?\nAnswer: -600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Divide 27007344 by -189.\nAnswer: -142896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 16971?\nAnswer: 3, 5657","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from gvgbigbbvpbibpipipv. What is prob of sequence ibb?\nAnswer: 40\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*s = -y + 5, 3*s = s + 3*y + 18. Suppose 0 = -3*m + 3*l, -s*l - 12 = -5*m - 8. Let a(c) = c + 12. What is the lowest common multiple of a(-6) and m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:40 PM and 3:49 AM?\nAnswer: 609","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 + 115\/(5 - 0). Which is bigger: 27 or l?\nAnswer: 27","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 270000000 = -13*j - 2*j. What is j rounded to the nearest one million?\nAnswer: -18000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (28\/(-8) + 2)*266\/57?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1\/(5\/(-1) - -4)*0. Suppose -4*d - j + 20 + 1 = g, 5*j - 10 = -d. Suppose -4*l - 407 = -r, 1009 = d*r + 5*l - 1101. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 126 + -10. Suppose -13*f = -53 - z. Solve 2*h + 9 = 5*m - 10*m, -5*m = 4*h + f for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -3 + 3 + i**4 + (-i**4 + 4*i - 4*i)*(0 - 5 + 3) - 368*i**3 + 204*i**4 + 368*i**3 as z*i**2 + p + m*i**3 + j*i + k*i**4 and give p.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 669818?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(k) = -4*k + 3*k**2 + 3*k - 2*k**2. Suppose -3 = -2*i - 5. Let d be (-2 + (1 - 2))*i. Give m(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 204*s - 101*s - p = 105*s - 12, 5*s - 17 = 4*p for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"} +{"text":"Question: What is 443 to the power of 1\/3, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 4 + -4. Let c be (-42)\/(-5) - (-2)\/(-5). Suppose f = 4*r + 8 + c, 0 = -4*o - 4*r - 4. What are the prime factors of o?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 1596265?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = w**3 - 5*w**2 - 7*w - 2. Let h(c) = c**2 + c + 1. Let x(v) = 4*h(v) + j(v). Give x(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 244 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w(a) = -8*a + 5. What is w(2)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*s**3 - 12*s**2 + 84*s - 96.\nAnswer: -3*(s - 2)**2*(s + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from xxxyyyy. What is prob of sequence xy?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (1*((-3 - 10) + 13))\/((-6)\/(12\/14)). Factor 204\/5*m - 294\/5*m**2 + t + 84\/5*m**3 + 6\/5*m**4.\nAnswer: 6*m*(m - 2)*(m - 1)*(m + 17)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -5682 - 2412 + 8094 + 877*u**2 - 873*u**2.\nAnswer: 4*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) = -105*q + 523. Let p be o(5). Let x(f) = f - 2. Determine x(p).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000517 to 5 dps.\nAnswer: -0.00052","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kkkkkkkkkk. What is prob of sequence kkk?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 612216 and 1584?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1868 = 6*g - 10910. What are the prime factors of g?\nAnswer: 11, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -13 (b) -3\/4 (c) -1\/2 (d) -1 (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (19*f - 1 - 18*f + 12*f)*(3 - 7 + 3).\nAnswer: -13*f + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 9\/4 - (-12)\/16. Let q be (-60)\/40*(-4)\/b. Suppose q*r = 4*i - 268, 0*r - 5*r = 3*i - 175. What is the units digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(14) - sqrt(98)\/(sqrt(28) + sqrt(7)))\/(sqrt(252)\/sqrt(9)).\nAnswer: sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 4173 - 4173. Solve -11*c + 8*c = m for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 8*s**2 - 155. Let z be j(11). Suppose 3*m + 735 = z. Is m a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1\/6*(-11)\/((-176)\/(-32))\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 + 1499*x + 182173. Determine f(-113).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u be 3\/(-12) - 35\/4. Let n(z) = 2 + 0 + 23*z**2 - 14*z**2 + z**3. Let x be n(u). Solve 0 = -2*d + 3*v - 4*v + 3, 0 = -x*d + v + 13 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 12703 divided by -1925\nAnswer: -12703\/1925","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*h + 12*h**2 + 11*h + 12*h - 5*h**2 - 43*h.\nAnswer: 7*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*i = -2*l - 720 + 722, 0 = 2*i + 4 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*c = -4*d + 4, -d = 5*c - 23 + 22 for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jj when two letters picked without replacement from jsssssssjsss.\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*f**3 + 12*f**2 + 8*f = 0. What is f?\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*o - 4 + 4)*(-1 - 1 + 1)*(-1 + 0 + 3)*((-o - 2 + 2)*(-o - 2*o + 2*o) + (28*o - 75*o - 3*o)*(-o - o + o)).\nAnswer: 306*o**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Determine m, given that 6*m**4 + 2515*m**3 - 185885*m**2 + 1156490*m - 364936 = 0.\nAnswer: -484, 1\/3, 13\/2, 58","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1 = 3*h - 76. Let s be 6\/(-18) - (-4 - (-5)\/3). Suppose 0 = s*n - 3*b + 7, 2*b - h = -3*b. What is the remainder when 15 is divided by n?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 38 divided by 90\nAnswer: 19\/45","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 274115348 at most as big as 274115347?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express 18*a + 7*a - 16*a in the form o*a + u and give o.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -2.42 and -39.\nAnswer: 94.38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1 (base 16) to base 7.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-3 + 1)*168\/(-12). Suppose h = 3*p + p. Suppose 8*a = p*a + 19. What is the tens digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ibbpppppiiqippqiqpi. What is prob of picking 1 i and 2 q?\nAnswer: 6\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 13337.013 rounded to the nearest 10?\nAnswer: 13340","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - (-4 + 6 - 2 - 5)?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 295921 and 141989?\nAnswer: 1327","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 424 minutes before 2:37 AM?\nAnswer: 7:33 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7260 + 7277. Solve -20 = -5*k - z, -5*z = -4*k + 4 - l for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 less than 2\/200501255?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: 1517 (base 11) to base 13\nAnswer: b74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.0070023*16.\nAnswer: 0.1120368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3*z - 26466 + 26466 + 293961*z**2 + 3*z - 293948*z**2.\nAnswer: 13*z**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 81 divide 20270088?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -8879*u**2 + 3886*u**2 - 76*u + 4994*u**2.\nAnswer: u**2 - 76*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Divide -9264 by 3088.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -496 + 497. Sort -61, -3, z in increasing order.\nAnswer: -61, -3, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n = 10, -2*z = 3*z + 4*n - 20. Suppose 3*x = -2*l + 3, -3 = 2*x - l - 12. Factor -2\/9*h**2 + z*h**x + 0 + 0*h + 2\/9*h**4.\nAnswer: 2*h**2*(h - 1)*(h + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 456 minutes after 9:54 PM?\nAnswer: 5:30 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -3, -0.0777, -6, -4?\nAnswer: -0.0777","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -w**4\/3 + 30*w**3 - 941*w**2\/3 + 108*w + 1716 = 0.\nAnswer: -2, 3, 11, 78","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1146*r - 3695 + 4165 - 7719*r + 6422 wrt r.\nAnswer: -6573","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 5027 by 1155.\nAnswer: 457\/105","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Put -132, -5, 3, -27 in ascending order.\nAnswer: -132, -27, -5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: ((-145)\/3915)\/(1\/3)\nAnswer: -1\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (6\/(-5))\/(4\/(-50)). Suppose -5*k = u*k - 200. Calculate the remainder when 128 is divided by k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(g) = -g**3 + 3*g**2 + 25. Let v(p) = p**3 - 3*p**2 - 8*p - 10. Let s be v(5). Let c be t(s). Solve 3*m - c = -16 for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(x) = 2*x**2 - 6*x. Let p be q(3). Let g be ((-3)\/27 - p)\/(6\/(-60)). Solve 16\/9*v**3 + 0 - 2\/9*v**2 - g*v**4 - 4\/9*v = 0.\nAnswer: -2\/5, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (8\/1670)\/((-340)\/(-850))*1?\nAnswer: 2\/167","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 236556912 a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z - 65 = -m, -12 = -z - 3*m + 33. Calculate the highest common divisor of z and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18 and 5962902.\nAnswer: 17888706","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 22 - 48. Let d be (-12)\/78 + (-108)\/a. What is the third derivative of -5*c**6 + 6*c**6 + d*c**2 + c**2 - 4*c**6 wrt c?\nAnswer: -360*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1)\/(-10) - (-3112)\/80. What is the second derivative of -120*n + 62*n - o*n**3 + 10*n**3 + 1 + 57*n wrt n?\nAnswer: -174*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -q**3 + 5*q**2 + 7*q + 2. Let d be b(6). Let i(a) = a**2 - 85452*a + 13 - 2 + 85442*a. What is i(d)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Do 412816\/7 and 58973 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -2\/7 (b) -427 (c) 4\/39 (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*m + 20 = -2*b, -2*m - 5 = -2*b - 1 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -812.81 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 - 4*g - 5. Let m be a(5). Suppose 0*u = u - 4. Suppose 4*t + 4 = 2*i + 2, -3*t + 6 = -u*i. Sort t, 4, m.\nAnswer: t, m, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 f when four letters picked without replacement from {z: 2, f: 5}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -12 divided by 2834\nAnswer: -6\/1417","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 11497\/12 + -961. Suppose -k = -67 - 334. Calculate the common denominator of u and 2\/(-5) + k\/(-110).\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -553*x + 238*x + 32*x - 75*x.\nAnswer: -358*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*p = -3*k + 87, k = 2*p + 2 + 24. What is the remainder when 194 is divided by k?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 3 + -2 + (-6 + -1 - -4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in -2\/9, 1\/3, -4\/5?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 1\/2 - 10\/(-4). Suppose -n = -4*x + 60, 0 = n + 4*n - 4*x + 236. Let t be (4\/(-4))\/(2\/n). Solve -t = -y*p - 7 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 493 minutes after 4:07 PM?\nAnswer: 12:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*r**2 + 2*r**2 + 2*r**2.\nAnswer: -5*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is -19200 at least -2437?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) = 14*g**2 + 160*g - 2097. List the prime factors of c(19).\nAnswer: 3, 1999","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = i + 12. Let o be b(-9). Suppose -2*h - 22 = o*u - 4, u - 4*h = 8. Let s be (6\/u)\/((-9)\/(-24)). Is s >= -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (60\/(-70) - (-250)\/(-35)) + 8.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3444723 - -4267.9?\nAnswer: -3440455.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -168, -337, -510, -687, -868, -1053, -1242?\n\"Answer: -2*o**2 - 163*o - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 1327 divide 7971641?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178490 = -377*q + 387*q. What is the ten thousands digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -b + u - 1, -6*u + u = 4*b - 41. Let d(p) = 2*p**2 - 4*p - 7. Let h be d(b). Let w = 23 - h. What is the smallest common multiple of w and 8?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = 5*w**2. Let v(q) = 290*q**2 + 150*q. Let l(n) = -17*n**2 - 9*n. Let m(y) = 100*l(y) + 6*v(y). What is m(b(p))?\nAnswer: 1000*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 PM and 7:46 PM?\nAnswer: 302","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 325?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 51062102 to the nearest integer?\nAnswer: 371","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 248271.\nAnswer: 3, 82757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -73 (base 9) in base 12?\nAnswer: -56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1158 is divided by 19.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sddro. What is prob of sequence os?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*g**2 - 56*g + 9408 = 0. Calculate g.\nAnswer: -84, 56","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(v) = 2*v + 1. Let y(a) = -a**2 - 20*a - 4. Give 5*w(c) + y(c).\nAnswer: -c**2 - 10*c + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-2)\/8*(113 + -114).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 26050 and 35410.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence gugu when four letters picked without replacement from uuuuuguguug.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -14 - (0 + (-16 - -9)) - (20 + -47).\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g**(-1\/3)*g)**6)**(-14)*((g**(2\/5))**(-1\/13))**(1\/6) assuming g is positive.\nAnswer: g**(-10921\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 184 minutes before 7:19 PM?\nAnswer: 4:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-630)\/28*4\/(-6)*13.\nAnswer: 3, 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d*d*d*d**8\/d*d**(1\/14)*d)**(2\/3))**(-49) assuming d is positive.\nAnswer: d**(-1085\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*a + 1 = b - 1, 4*b - 5*a - 11 = 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1300)*-1 + sqrt(13) + sqrt(39)\/sqrt(3)*-6)**2 + ((-1*sqrt(91) + sqrt(91))*-2)\/sqrt(7) + -4 + -1.\nAnswer: 2920","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -58 in 0.2, 21, 0.4, 1\/25, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -37845, -37818, -37745, -37602, -37365, -37010?\nAnswer: -36513","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the second derivative of s**3\/6 - 13*s**2\/2 - 9*s. Let t be r(18). Suppose -3*k = k + t*p - 179, -4*k = p - 167. What is the tens digit of k?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (2*d**2 + d**2 - d**2)*(5*d - 4*d + d) + 7 - 22*d**3 - 7 + (d**2 + 2*d**2 - d**2)*(0 + d + 0) as x*d**2 + k + n*d + v*d**3 and give v.\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = -z**3 + 4*z**2 + 6*z. Let c be k(5). Let j(x) = c*x**2 - 1 - 2*x + 7*x**3 - 4*x**3 - 4*x**3 - 2*x. Let v = 7 + -4. Give j(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -19829 + 35795. Calculate the greatest common divisor of 18 and f.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 24\/(-9)*9\/222. Let l = -39 + 38. Which is smaller: j or l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n = -5*c + 180, -n + 0*n = -4. Let f = c + -37. What is the remainder when 10 is divided by f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0 + 0. What is the units digit of (-6 - -4) + v + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -169, -4, 1 in increasing order.\nAnswer: -169, -4, -3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -14*d**3 + 135*d**2 - 9*d + 107.\nAnswer: -84*d + 270","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: 43446 (base 7) to base 13\nAnswer: 4c38","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y + 2246 - 182 = 0. Suppose 7*l = -y - 778. Let m = l - -634. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -43*i - 46 + 3 = 129. Sort i, -3\/2, 0.2, 1\/42, 1\/3 in descending order.\nAnswer: 1\/3, 0.2, 1\/42, -3\/2, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of -8742, -9711, -10680?\n\"Answer: -969*i - 7773","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 170*r**2 + 7*r - 31. Let v(f) = -2*f**3 + 2*f**2 + f + 3. Let w be v(0). Does 34 divide l(w)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -10521 + 10468. Which is the second biggest value? (a) q (b) 9 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 243, 1355, 4099, 9291, 17747, 30283, 47715?\nAnswer: 70859","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 193700 is divided by 3877.\nAnswer: 3727","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express 59*a - 5134*a**2 + a**4 + 5*a**3 - 9*a**3 + 5127*a**2 - 2 in the form b*a + q*a**4 + g*a**3 + f*a**2 + n and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 4265350471 to the nearest integer?\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1467*v = -1490*v + 4738. Calculate the remainder when v is divided by 42.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 71*t**2 + t. Let i(b) = -84809 - 2*b - 84823 + 169625. What is i(f(l))?\nAnswer: -142*l**2 - 2*l - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 158, 1132, 3726, 8744, 16990, 29268?\nAnswer: 46382","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0 + 3. Suppose 9 = n*g - 3. Suppose g = -0*a + 2*a. List the prime factors of a.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = g**2 + 6*g - 3. Calculate u(-8).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -2.6, -0.1, 1\/6?\nAnswer: -2.6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.2 + -0.1. Let p = 384 + -496. Let h = p - -94. Is v bigger than h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/(-28) + 1 + 254\/889?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of 501746, 501745, 501744?\n\"Answer: -w + 501747","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -47*t + 782412 = -207225 - 1361162. Is t a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (i**2 - 2*i**2 - 2*i**2)*(313 - 109 - 103 - 4814*i**2 - 39113*i**2 - 101) as s*i**4 + x*i**3 + a*i**2 + l*i + d and give s.\nAnswer: 131781","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 21 + (12 - 5) + -6 + -7 + 0.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -6642 (base 15) to base 14\nAnswer: -7c74","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*w - w = -264. Let n = w + -43. Calculate the remainder when n is divided by 8.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0? (a) 11 (b) 2 (c) 0.4 (d) -0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1065992*u**4 - 76089*u + 4 wrt u.\nAnswer: -12791904*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 2562 smaller than 2573?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -2*z + 7. Suppose -5*x + 8 = -2*n + 3, 0 = x - 5. Let m be n\/3 - 2 - 16\/12. Determine y(m).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00015635245 to 7 dps.\nAnswer: 0.0001564","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -83*f + 118*f - 18*f - 18*f. Let o(l) = 7*l**2 - 31*l - 10. What is c(o(k))?\nAnswer: -7*k**2 + 31*k + 10","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*s + 4*x + 2 = -6, -2*s + 300*x - 2 = 151*x + 151*x for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -54982, -219948, -494892, -879814, -1374714?\n\"Answer: -54989*p**2 + p + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 12513807 is divided by 251?\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 4*z + 1. Let c(d) = d. Let u = 32 - 26. Suppose -17 + 11 = 3*s. Give s*h(a) + u*c(a).\nAnswer: -2*a - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5940 is divided by 1977.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 1022 + 2812 = 845*r - 2081 for r.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = o**3 + 7*o**2 + o + 9. Suppose 0*l = -5*l - 35. Let t be h(l). Let p be ((-6)\/(-16))\/((-1)\/t). Is -2 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.0196 - 267.9804. Let g = -273 - q. What is the second smallest value in 2, 5, -0.2, g?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -27271513 by 14123.\nAnswer: -1931","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Does 269 divide 19522165?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5*94.4.\nAnswer: 472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -106 - -103. Let d be (u - 10\/(-3))\/((-1)\/(-6)). Solve -d*s - 27 = -19 for s.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 802 is divided by 192?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = -7*u. Let a(y) = -2698*y. Give j(a(x)).\nAnswer: 18886*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((g\/((g\/g**4)\/g)*g)\/g)**40*(g**(-3))**45 assuming g is positive.\nAnswer: g**65","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*a + 3*j + 156, 3*j - 260 = 21*a - 26*a. Suppose 1800 = -7*n + a*n. What is the remainder when n is divided by 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 337747683?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16 = -21*z + 5. 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: -28817.4441+-33786\nAnswer: -62603.4441","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c\/c**(-6)*c*c)**(-1\/8)*c**(12\/5)\/(c\/c**10) assuming c is positive.\nAnswer: c**(411\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*g**4\/2 - 21*g**3 - 39*g**2\/2.\nAnswer: -3*g**2*(g + 1)*(g + 13)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 573 (b) -3 (c) -0.3 (d) 4 (e) -6 (f) -1\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = 4*v. Let d(c) be the third derivative of -c**5\/20 - c**4\/24 - 6*c**2 - c. Give y(d(t)).\nAnswer: -12*t**2 - 4*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.07*637.4292\nAnswer: -44.620044","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {v: 4, h: 2}. Give prob of picking 1 h and 2 v.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = 2*z + 12. Let m be u(-5). Suppose 2*c + 2 = 0, m*n - 2*c - 7 = 3. Suppose s - 79 = -5*l, l - n*s - 59 = -4*l. Is 6 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = c**2. Let k be l(-1). Let g be (0 - -4*k) + 1. Suppose 3*m + o = 47, -g = 2*m - o - 38. Does 16 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-1)\/(-30*(-3)\/18)*4\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6\/21)\/((-33)\/3 - -13).\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 31*k = 3*k - 56 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = 84*s**2 + 41*s + 26. What is the thousands digit of d(-5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1883597 - 6?\nAnswer: -1883603","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Are -15576 and -15576 nonequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/(-72) + 1235\/200 + -6?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 756+-61.6\nAnswer: 694.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**(2\/7)*d*d**(5\/2))**(-6\/5) assuming d is positive.\nAnswer: d**(-159\/35)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 0*u + 9 = 0. Suppose 4*l + 153 - 586 = -u*b, 0 = 4*l + b - 443. Suppose -4*j = -3*z + l, -4*z - 2 = -5*j - 151. What is the units digit of z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) be the third derivative of i**6\/120 + i**5\/20 + i**3\/3 - i**2. Suppose o + 4 = -o. Let x be t(o). Solve -x = -4*p + 2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of -631, -238, 729, 2270?\n\"Answer: 287*t**2 - 468*t - 450","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (13 - 0) + (-156)\/(-4914)*-108 + (-104)\/(-14).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 85243217.69000009 + -85243217. Let r = b - 0.69. Round r to seven decimal places.\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2*b**5 + 7655746*b**2 - 12072553*b?\nAnswer: 40*b**3 + 15311492","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -2? (a) -0.01 (b) 0.3 (c) 9 (d) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Express (74 + 6*i - i - 73)*(-98827*i**2 + 98827*i**2 - 766*i**3) in the form a*i + g*i**4 + c*i**3 + u*i**2 + s and give c.\nAnswer: -766","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3655340 divided by -5.\nAnswer: -731068","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 87 + -43 - (34 + -12).\nAnswer: 22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xhxxhxh. What is prob of picking 1 h and 3 x?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2 - 26*i + 15*i - 9*i.\nAnswer: -20*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 470566, 941140, 1411732, 1882348, 2352994, 2823676?\n\"Answer: x**3 + 3*x**2 + 470558*x + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(77)\/(-2*(2*sqrt(11) + sqrt(11))) - (-1*sqrt(7) + sqrt(7) + -5 + 1)**2.\nAnswer: -16 - sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 601484083?\nAnswer: 19, 1061, 29837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 8627660441 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 2*u**2 + 138*u - 52*u + 119*u + 1 - 3 + 10*u to n*u**2 + m*u + g and give m.\nAnswer: 215","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = -715*y - 12123. Let a be b(-17). Solve -208*o = -210*o + 4*x + a, 5*x = o - 31 for o.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 48271 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 17 (base 15) in base 10?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 6*k**2\/13 + 15838*k\/13 - 1110280\/13.\nAnswer: 2*(k + 2708)*(3*k - 205)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2231*p + 2210*p - 4441*p - 95*p**2 - 33*p**2.\nAnswer: -128*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 98811107 is divided by 5309?\nAnswer: 5308","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 26*s - 80 = 21*s for s.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 2*p**2 + 3*p + 6. Let j = 17 + -22. Let a(h) = h**2 + 3*h + 4. What is the remainder when s(j) is divided by a(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.015291 to 4 dps.\nAnswer: 0.0153","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 6136634?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-200328)\/(-83470))\/((4\/42)\/(5\/(-6))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 252 + -252. Let i(s) = s**3 + 2*s**2 + s + 25. What is the remainder when i(r) is divided by 18?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -18.2 + 14.2. Which is the nearest to 0.1? (a) l (b) -38 (c) 2 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = x**2 + 6*x + 86. Calculate i(-10).\nAnswer: 126","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 70 + 7*t**2 - 70 + (0*t**2 + 5*t**2 - 4*t**2)*(-2 + 0 + 0) - 4 + 3*t**2 + 4.\nAnswer: 8*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*o - 14 = -5*f, -4*o + f + 2 = -2*f. Let v(a) = a**2 + 13*a + 8. Let y be v(-12). Calculate the least common multiple of o and y + 18 + 2 + -2.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-45) - (-37)\/(-45).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) be the second derivative of n**4\/12 + 4637*n. Let h(b) = 499*b**2. Determine g(h(c)).\nAnswer: 249001*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -167 divided by -36854.\nAnswer: 167\/36854","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m**(1\/3)*m*(m*m*m**(1\/3))\/m)**(-6) assuming m is positive.\nAnswer: m**(-16)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.9 - -4.1. Let w = o - 4.8. Put -3, w, -1\/2 in decreasing order.\nAnswer: w, -1\/2, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2585 - 2585. Let t(r) be the third derivative of -2\/3*r**3 + i - 40*r**2 + 0*r - 1\/4*r**4 - 1\/30*r**5. Factor t(k).\nAnswer: -2*(k + 1)*(k + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = u + 4*h, -2 + 0 = -u - h. Suppose 15 = 3*d - 3*j, -5*d - j + 5 = -u*j. Suppose g + 0*g = d. Solve 3*i + i + 20 = g, 4*n + i - 3 = 0 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = 2*f. Let l(r) = 457*r**2 + 4*r. Determine -2*a(j) + l(j).\nAnswer: 457*j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -g = 3*u + 5, g + g + 5*u = -8 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -24*g - 5*g**2 - 4*g - 13*g**2 - g**2 wrt g?\nAnswer: -38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert acb9 (base 14) to base 7.\nAnswer: 153222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -14*z + 27. What is the tens digit of u(-4)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 210122020202 (base 3) to base 8.\nAnswer: 1477676","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -168.63744 to the nearest 10.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 138822 - 8745514\/63. Let g = o - 31\/7. Are g and -2 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -bb6976 (base 14) in base 11?\nAnswer: -36520a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(y) = -y**2 - 11*y - 5. Let l be (5 - 6)*(3 + -1). Let i(r) = r**2 + 1. Let v(z) = l*i(z) - c(z). List the prime factors of v(6).\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 711*u + 155509. Calculate r(-219).\nAnswer: -200","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -61, -0.4, -17646 in increasing order.\nAnswer: -17646, -61, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -699, -7573, -26769, -64449, -126775, -219909, -350013?\n\"Answer: -1027*c**3 + c**2 + 312*c + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: 49a0b9 (base 12) to base 13\nAnswer: 32cbb6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.02 - 0.852. Let h = r - -0.8. Let i = h - -0.0279. What is i rounded to 3 dps?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -62\/273 - -8\/21. What is the fourth biggest value in -0.3, 5, n, 5\/2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 864 and 21686508.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*j + 68 = -2*j. Let c = 25 - j. Let d be -15*c\/((-108)\/(-56)). What is the highest common factor of 14 and d?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 89\/12 and -25.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*i - i - 16. Suppose 3*m - 21 = -5*u, -6*m + i*m = -3*u + 5. Let w be 3 + (1 - -1 - m). Solve -w*l = -3 + 12 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-108 - 81 + 54 + g)*(0*g**2 + 2*g**2 + 3*g**2) as m + n*g**3 + u*g + s*g**2 and give s.\nAnswer: -675","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -38, -41, -46, -53, -62?\nAnswer: -73","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = j**2 + 3*j**3 - 4*j**3 + 0*j**3 + 0*j**3 + 10. Let y be k(0). Suppose -35 = -5*v + y*v. Is v at most as big as -8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0 + 0 - 1)*(-3 + 1 - 2) - 5 + 3 + 1)*(14576*k**3 - 14576*k**3 + 879*k**5).\nAnswer: 2637*k**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -1178131+-6251\nAnswer: -1184382","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = 5*c**2 + 204*c + 145. Let v(b) = 45*b**2 + 1845*b + 1305. Let h(j) = 55*u(j) - 6*v(j). Factor h(l).\nAnswer: 5*(l + 1)*(l + 29)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 24 divide 141624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a factor of 297350?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is -95 at most -121?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-6)\/(-9)*-1)\/((-20)\/15)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from uoveoxet. Give prob of picking 1 t and 1 e.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33407 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 457*i**2 + 5 - 292*i**2 + 574*i**2 - 12*i.\nAnswer: 739*i**2 - 12*i + 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -104 - -104. Solve 0 = -v - a*v + 4 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(j) = -j. Let h be u(-2). Let a be (-3)\/(20\/12 - h). Does 10 = a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 594*f**2*r - 39*f*r**2 - 48*r**2 + 4128*r - 2 wrt f.\nAnswer: 1188*f*r - 39*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 190 and 13365345.\nAnswer: 507883110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Work out -451 + -0.006.\nAnswer: -451.006","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 3460 and 54224255?\nAnswer: 865","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -0.03 (b) 0.312 (c) 5 (d) -0.8\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in nine tenths of a litre?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 175 and 24640.\nAnswer: 123200","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -0.21329 + 3.6\nAnswer: 3.38671","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.8 + -1. Let j = 162 - 157. Which is the closest to g? (a) 0.5 (b) -4 (c) j\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1001010010011010111 (base 2) to base 12.\nAnswer: -12815b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -d**3 - 5. Let r(k) = -1. Suppose 2*h - 6*h - 3*a = -603, -3*a = 3*h - 453. Suppose 0 = 12*y - 2*y + h. Give y*r(i) + 3*c(i).\nAnswer: -3*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*o - 47 + 180 = 0. Let a = o - -21. Calculate the smallest common multiple of a and 65.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 0.022 - 0.022. What is the third biggest value in c, -3, -1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(v) = 0*v + v - 1 + 0*v. Let z be f(3). Determine y so that 4*y**2 - 4*y**3 + y**4 + 3*y**3 - z*y**4 + y**5 - 3*y**2 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 25\/2 of a millennium?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 take away -18269?\nAnswer: 18271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Factor -15138*h**3 - 197490*h**2 - 9056*h - 104.\nAnswer: -2*(h + 13)*(87*h + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 62 - -14. Suppose -5*x = 4*y - 46 - 154, 2*x - 5*y - 113 = 0. Let u = 63 - x. What is the greatest common divisor of u and s?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4188382, -4188388, -4188394, -4188400, -4188406, -4188412?\nAnswer: -4188418","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sum -16.922226464097 and 0.4.\nAnswer: -16.522226464097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2 + sqrt(180))*-6 - (-6*(3 + sqrt(125)))**2.\nAnswer: -4812 - 1116*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3491001988.\nAnswer: 2, 523, 1668739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = 11*z. Let t(m) = 29154*m**2. Give t(i(c)).\nAnswer: 3527634*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 26915, 46273, 65631?\nAnswer: 84989","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = 2*k**2 - 11096*k + 66481. Give a(6).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(y) = y + 9. Let m be l(-4). What is the second derivative of -34*g + 17*g - 7*g**m + 3*g wrt g?\nAnswer: -140*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o + r + 1 = 26, -4*r = -4*o + 92. Let a = -109 + 69. Let b be a\/2*(-12)\/20. What is the highest common factor of o and b?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(y) = -8*y**2 + 76*y + 76. Calculate i(-1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b**3 - 324*b + 215 - 188*b**2 + 4*b**4 + 289 + 4*b**3 = 0.\nAnswer: -6, -3, 1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-6 + 4 + 3)*(-1 + 3 + 0) - 2 - 1 + 0)*(-243 + 142 - 488)*(g**2 + g**2 - 3*g**2)*(g - g - g**2).\nAnswer: 589*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-6)\/(-5)*(3132\/192 - 16).\nAnswer: 3\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) be the first derivative of -16*i + 18370 - i**2 + 5*i - 18333. Find the first derivative of p(g) wrt g.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express v**3 + 3 - 18*v**2 + 4*v**3 + 20*v**2 - 2*v - 3*v**3 as l + m*v + n*v**3 + i*v**2 and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -r**2 + 8*r - 10. Let y be c(6). Suppose 3*f - y*n = -3*n + 69, 3*f - 4*n - 54 = 0. Let o = 14 - f. Is o equal to -8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -12*((-288)\/(-336))\/((-20)\/35).\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-1 + -2)*(133 - -8). Let d = -7193\/17 - i. Which is the closest to -1? (a) d (b) 1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (-3 + (2 + sqrt(637) - sqrt(637)) + sqrt(637))*-2*1 + 4)**2 + 3.\nAnswer: -252*sqrt(13) + 2632","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = -g**2 + 5*g - 4. Let m be y(3). Let t be -3 + m - (-2 - 1). Suppose -t*z + 4*z - 19 = -3*r, 0 = 2*r + 4*z - 10. List the prime factors of r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) = -87*q**2 - 1. Let a(j) be the second derivative of j**3\/6 + 4837*j. Calculate b(a(h)).\nAnswer: -87*h**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -49341575 divided by -9868315.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0219 to 2 dps.\nAnswer: -0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 10\/22*4848\/20. Let u = -16715\/154 + o. Calculate the common denominator of 87\/10 and u.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (-91)\/(-52)*(-944)\/(-56)*610.\nAnswer: 5, 59, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/8 of a kilometer in centimeters?\nAnswer: 37500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + sqrt(300) + -5 - sqrt(300)*-1*-6)**2.\nAnswer: 400*sqrt(3) + 7516","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -28*z**2 - 489210*z - 489211*z + 978424*z.\nAnswer: -28*z**2 + 3*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -664 + 643. Let h = 27.43 + 0.57. Let b = h + z. Is -6 smaller than b?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*q - 3 - 5 = 0. Suppose 9 = q*i + 3*v - 30, -4 = -4*v. 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 c(j) = -533*j + 25. Let z(a) = 2136*a - 92. Calculate 22*c(w) + 6*z(w).\nAnswer: 1090*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let t(n) = n**3 + 70*n**2 - 6*n - 633. What is the remainder when t(-69) is divided by 15?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 558 - 329. Let f = o - 234. Suppose w - 5*k + 2 = 0, -3*w - 8 = w - 4*k. Sort f, 6\/5, w in descending order.\nAnswer: 6\/5, w, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5397*y**2 + 96*y**2 - 1164*y**2 to the form o*y + q + u*y**2 and give o.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -1 + -34?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(a) = -6*a - 15. Let z(b) = 14*b + 28. Give 5*y(t) + 2*z(t).\nAnswer: -2*t - 19","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find r such that -14*r**3\/3 + 20*r**2 - 58*r\/3 + 4 = 0.\nAnswer: 2\/7, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -15873 - -15885. Solve -4*o - s = -l, -4*o - 4*s + 20 = -2*o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -20 - -22. Suppose h*r - 40 = -18. Does 10 divide r?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2\/7 in 1\/220, 25\/3, -2?\nAnswer: 1\/220","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -34*w + 5 + 42*w - 2 + (2 + w - 2)*(8 - 4 - 3).\nAnswer: 9*w + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Round -3180000 to the nearest 100000.\nAnswer: -3200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 557686564 to the nearest integer?\nAnswer: 823","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -2 - -2. Let k = -379\/33 + 35\/3. Let g = 323.86 - 324. What is the smallest value in k, t, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 301 divide 15470800?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -14100 (base 12) to base 7.\nAnswer: -144012","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 149 is divided by 102?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*r = 28*r - 5*s - 33, 4*s = -r - 12. Let f = 0 - -8. Calculate the least common multiple of r and f.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of -4.2067 and -0.384.\nAnswer: 1.6153728","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 67.88 in -4, 41, -0.12?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 21816 - 21812. Let l = -5.06 - -5. Let u = -29\/3 + 11. Which is the third smallest value? (a) 3\/2 (b) o (c) u (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 137 a factor of 19747660?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence jdv when three letters picked without replacement from auuvvtdjvadduvvtuaaa.\nAnswer: 1\/456","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3)\/9*(0 + 1). What is the third biggest value in w, 4, -3, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 329173?\nAnswer: 13, 25321","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l(v) be the third derivative of -67*v**5\/60 - v**4\/4 - 5*v**2 - 3. Find the second derivative of l(m) wrt m.\nAnswer: -134","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2083428303.\nAnswer: 3, 11, 43, 101, 14537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 349 * 352418\nAnswer: 122993882","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 18741031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -62 - -146. Let y be (5\/5)\/(-2 - 4765\/(-2385)). Let c = -453 - y. Calculate the highest common divisor of r and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 128*j**3 - 823*j**2 - 5*j + 14524 wrt j.\nAnswer: 768*j - 1646","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 87 + 0?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -112 - -116. Suppose 5*f - 8*h = -5*h + 29, m*f - 5*h = 18. Suppose f*b - 1198 = -477. What are the prime factors of b?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes after 4:08 PM?\nAnswer: 3:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of o*q**2*v**2*z - 11*o*q**2*z + 1063*o*q*v**2 + 6*o*q*v + 3*o*v + 2*q**2*v**2 - 81*q**2*v*z wrt v?\nAnswer: 2*o*q**2*z + 2126*o*q + 4*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 171682536 to the power of 1\/3, to the nearest integer?\nAnswer: 556","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 182498 is divided by 1201?\nAnswer: 1147","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (63\/(-54))\/((-21)\/9)*-6 + 11\/5.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 94 - 93.875. Let h = s + -0.005. What is the third biggest value in -0.5, -1, 3, h?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*u - 2 = 8. Differentiate 4*g**4 - 12*g**4 + 4 + u wrt g.\nAnswer: -32*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = i**2 + 13*i + 5. Let c be m(-9). Let z = -15 - c. What are the prime factors of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 2\/11 (b) -1\/3 (c) 0.3 (d) -0.4 (e) -2 (f) -116\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Work out 18 * -1318105.\nAnswer: -23725890","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + (4 + (2*sqrt(1008) - sqrt(1008)) + sqrt(1008))**2 + 4 + 5)*6.\nAnswer: 1152*sqrt(7) + 24360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.6996116m to micrometers.\nAnswer: 699611.6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) = 6762*j - 6761*j - 1 + 1. Let f(z) = -15*z**2. Let m(o) = o**2. Let w(l) = f(l) + 10*m(l). What is w(k(g))?\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Is -3 - (4 + (3 - 317)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 342\/(-99)*176\/(-32).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (23 - 14 + 56)*(2*d - 2*d + 3*d**2)*(-3 - 2 + 0) + (-2*d**2 + 2 - 2)*(3 - 1 - 3) to y*d + s + v*d**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2\/((12\/75)\/(6\/(-15))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 6, 265, -3, 0 in decreasing order.\nAnswer: 265, 6, 0, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5074?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c = -3*c + r + 161, 0 = 4*c + 5*r - 131. Is c a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d**2 - 744*d - 46128 = 0. Calculate d.\nAnswer: -124","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*sqrt(132)*-3)\/sqrt(3).\nAnswer: -12*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 3\/15*5\/(-4). Let g(k) = -1 + 2 - k + 2 + 10. Let i be g(9). What is the third biggest value in i, 0.5, s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(d) = 13*d**2 + 3824*d - 2572. Determine w(-295).\nAnswer: 673","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 577029913 to the nearest integer?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x(a) = 10*a + 1. Let k(h) be the second derivative of -h**3\/6 + 7*h**2\/2 + 16*h. Let b be k(4). Suppose b*z - 5 = 8*z. Calculate x(z).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 2609 (b) -0.36 (c) 1\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1 - -5. Suppose 3*z = t*d + 263, 4*z + 2*d - d = 376. Does 16 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3, 0.5, -33, -2\/381, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = 7*p. Let q(o) = -441 - 90*o + 41*o**2 - 438 + 879 + 91*o. What is q(u(g))?\nAnswer: 2009*g**2 + 7*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let i(f) be the first derivative of -3*f**2\/2 - 5*f - 397. Let b(c) = 18 - 4*c + 6 - 28. What is -2*b(j) + 3*i(j)?\nAnswer: -j - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5726\/95 - -817214\/1995. Let y = 470 - w. Let q = -52.9 + 53. Which is the third biggest value? (a) y (b) 0.2 (c) -5 (d) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in 0.1, 0.04, -3331?\nAnswer: -3331","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -4*b + 1. What is the remainder when 6 is divided by h(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00152508127 to four decimal places.\nAnswer: 0.0015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = 6*i - 13. Is c(11) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = 6*m**3 + 1753*m**2 - 4*m + 75. Let x(i) = -19*i**3 - 5259*i**2 + 13*i - 240. What is 16*d(t) + 5*x(t)?\nAnswer: t**3 + 1753*t**2 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q**2 + 30951140*q + 47898653364980 = 0. What is q?\nAnswer: -3095114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 5:04 PM?\nAnswer: 501","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-3)\/(-4) + (-1 - (-5)\/4). Let v = a - -4. Let t(o) = 6*o - 4. Does 13 divide t(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:01 PM and 1:10 AM?\nAnswer: 309","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 3 (b) -1 (c) 1.1 (d) 22.085 (e) -2 (f) -1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -232\/9 - -238\/9. Sort b, -0.9, -6 in ascending order.\nAnswer: -6, -0.9, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -16, 5, -5, 3 in ascending order.\nAnswer: -16, -5, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2. Let u(b) = -20*b + 3. Let c(j) = 20*j - 2. Let f(a) = -5*c(a) - 4*u(a). Determine f(l(k)).\nAnswer: 60*k**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -38.7 - 820.3. Let l = y + 858.2576. What is l rounded to 1 dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3956 + 3924 - 10*-1.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0085636 rounded to 3 decimal places?\nAnswer: -0.009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1729300254, 1729300253, 1729300252, 1729300251?\nAnswer: 1729300250","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Put 7, 0.7, -0.5 in decreasing order.\nAnswer: 7, 0.7, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put 2.6, -0.06, -0.4, 3, 0.04, -2 in increasing order.\nAnswer: -2, -0.4, -0.06, 0.04, 2.6, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rk when two letters picked without replacement from kaiiffrc?\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 579*c**2 + 4*c**2 - 37*c**2 - 19*c**2 + 215*c**2.\nAnswer: 742*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -27*h + 14*h - 29*h.\nAnswer: -42*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find h such that 3*h**2 - 32786*h + 21856 = 0.\nAnswer: 2\/3, 10928","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -12*v - 0*v - 39 + 75 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q - 149 = 4*a + 491, 294 = -2*a + 5*q. Let j = a - -335. What is the units digit of j?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 85226656 divided by 41312\nAnswer: 2063","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-154)\/20*(-142)\/994*(-2)\/2.\nAnswer: -11\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = v - 2*v. Suppose -v*l + 76 = -137. Does 25 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in -0.2, -11, 48, 2, 4?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is r in 3*r**2 - 1692*r - 5103 = 0?\nAnswer: -3, 567","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:06 PM and 12:56 PM?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of -34, -91, -164, -259, -382?\n\"Answer: -a**3 - 2*a**2 - 44*a + 13","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -4684, -4680, -4676, -4672?\nAnswer: -4668","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 425840 and 3087340.\nAnswer: 12349360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*x + 20 = 3*q - q, -5*x + 20 = 4*q. Suppose -3*w + 2*w + 3 = q, -r = 3*w - 48. What is the units digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 9\/10, -2\/5, 0.4, 1\/3, -39 in increasing order.\nAnswer: -39, -2\/5, 1\/3, 0.4, 9\/10, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 940605380?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve n - 4*o = -1, -3*o - 11 + 28 = -4*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide 6443731356 by -6.\nAnswer: -1073955226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -ca485 - 1c?\nAnswer: -ca4a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 61191\/1043 or 60?\nAnswer: 61191\/1043","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6\/29? (a) -0.3 (b) 1\/9 (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -48406300 to the nearest 100000.\nAnswer: -48400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(i) = -1. Let o(m) be the third derivative of -4*m**2 + 1\/24*m**4 + 0 + 0*m + 1\/2*m**3. Determine -2*o(t) - 7*r(t).\nAnswer: -2*t + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 120*o + 845. Is d(45) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*p = -12, -3*m - 22 = 5*p - 7. Suppose 7*f + m*f - 112 = 0. What is the least common multiple of f and 144?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 111 a factor of 38694?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g + 72 = -3*g. Let r be 0 + 2\/(-4)*g. Solve 0 = -3*s - r - 6 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (99*p - 2606*p + 806*p)*(2*p + 3*p - 4*p) - 1 - 1 + 2*p - 2*p**2 + 1 to d + o*p + r*p**2 and give d.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b - 42 = 6*v, v = 3*b + 94 - 111 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -2.121 less than -5028018.1?\nAnswer: -5028015.979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) be the first derivative of -5*c**2\/2 + 7. Let g(l) = -47175 + 43*l**2 + 47175. Determine f(g(j)).\nAnswer: -215*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide 988106 by 326.\nAnswer: 3031","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*x + 5*j - 30, 5*j = -0*j - 10. Let l = -5 - -10. Let w(c) = 2*c - 5. Let g be w(l). Solve g*s = 4*y + 20, 0 = s + 4*y + x + 10 for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26 - (-21219)\/(-825))\/(3\/(-5)).\nAnswer: -7\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/6 - -1 - (-2)\/(-12).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2267298, -9069281, -20405924, -36277227, -56683190, -81623813?\n\"Answer: -2267330*r**2 + 7*r + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -2*a + 24. Suppose 0 = -11*h + a*h + 30. What is the units digit of h?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(i) = -6*i - 219. Let t(k) = -16*k - 667. What is 17*c(q) - 6*t(q)?\nAnswer: -6*q + 279","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v(k) be the first derivative of 0*k**2 - 14 + 0*k - 2\/3*k**3. Let s(u) = -5*u - 2*u + 7*u - 2*u**2. What is v(s(z))?\nAnswer: -8*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = -19*u. Suppose 0 = -6*k + 3 + 81. Let i(s) = 33*s - 17*s - k*s. Give q(i(a)).\nAnswer: -38*a","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 43\/2 of a litre in millilitres?\nAnswer: 21500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*a - 5*m = -19, -2*a = -10*m + 12*m - 4. Let w(t) = 5 + 5*t + 16*t**2 + 2 - 2. What is the lowest common multiple of w(a) and 34?\nAnswer: 272","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 95 divide 15275?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1 + 25442*r - 1 + 2 - 72368*r.\nAnswer: -46926*r + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(b) = -b + 39 - 3*b + 15*b - 28 + 2*b**2. Let y(g) = g**2 + 6*g + 6. What is -11*y(n) + 6*z(n)?\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 2054, 4096, 6138, 8180, 10222, 12264?\nAnswer: 14306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanograms are there in 11\/2 of a microgram?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in three eighths of a millimeter?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8855 to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 2 + -4c9d8?\nAnswer: -4c9d6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert a39 (base 14) to base 5.\nAnswer: 31021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 34128 and 2212?\nAnswer: 316","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.003369 rounded to three dps?\nAnswer: 0.003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 269981120 to the nearest integer?\nAnswer: 128","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = m - 4. Let y(q) = -1. Let t(g) = 3. Let v(j) = -4*t(j) - 11*y(j). Let h(o) = 3*d(o) - 15*v(o). Differentiate h(s) with respect to s.\nAnswer: 3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(i) = -10*i**2 + 4*i - 9. Let z be t(7). Let p = -306 - z. List the prime factors of p.\nAnswer: 3, 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/4)\/((-1770)\/337480)?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -1.8 - -4.8. Let f = -0.01 - 1.99. What is the closest to 1 in f, x, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1391426?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 75 - 75.00043. What is l rounded to 4 dps?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(25) + sqrt(25) + ((sqrt(125)*3 - sqrt(125)) + sqrt(125))\/sqrt(5))\/((3*sqrt(5) + sqrt(5) - sqrt(5))*6).\nAnswer: 5*sqrt(5)\/18","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2? (a) 0.3 (b) -11\/5 (c) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let a(x) = x**2. Let p = -24 - -32. Let j(o) be the first derivative of 390*o - 390*o - 8*o**2 + p. What is a(j(f))?\nAnswer: 256*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: 23 + (55 - 11) + -28 + 4\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -5 + 2. Is i less than or equal to 0.1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 2\/10775 or -20.32?\nAnswer: -20.32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + -76. Let p be (-15)\/24 + 1 + (-123)\/8. What are the prime factors of ((-48)\/p + -4)*d?\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 99212682535 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express 79*b + 11*b - 4*b in the form k*b + t and give k.\nAnswer: 86","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 0 + 100 + -67 + 132 + -79.\nAnswer: 86","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 55*f - 51*f + 12 = 5*x, 0 = x + 4*f - 5*f - 3 for x.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 22 divided by -654\nAnswer: -11\/327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.3032166 + -132.3189166. Let x = -181 - -49. Let l = x - o. Round l to three dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find k, given that 4*k**2 + 1148600*k + 82455122500 = 0.\nAnswer: -143575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*d - 17665 = 3*d + 5*j, 0 = d - 4*j - 3530. Suppose 582 = 7*k - d. Does 43 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -53*m**2 + 22*m**2 - 75*m**3 + 33*m**2 - 242*m**3 - 1858*m**3 as v + q*m**3 + u*m + x*m**2 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Convert 5079.75 decades to millennia.\nAnswer: 50.7975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((y*y\/y**3)**(-2\/7))**(-7\/3)\/((y**(2\/13)*y**(2\/13)*y*y)\/(y**(1\/4)*y**(-8)\/y)) assuming y is positive.\nAnswer: y**(-1829\/156)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 582 minutes before 8:44 AM?\nAnswer: 11:02 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -151*k = -156*k - 4*g + 15290, -3*k - g + 9174 = 0. List the prime factors of k.\nAnswer: 2, 11, 139","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 114, 137, 176, 231, 302, 389, 492?\nAnswer: 611","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n = 5*k - 25, 2*n - 12*k = -8*k - 14 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -1\/104, -18\/7, 5, -3?\nAnswer: -1\/104","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -577\/322 + -3\/46. Suppose 5*m - 4*z - 5 = 6, -m + 11 = -3*z. Which is greater: m or w?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -169, -653, -1463, -2605, -4085, -5909?\nAnswer: -8083","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 64980 divided by -2?\nAnswer: -32490","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 18080058219 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h**3 - 15*h**2 + 177*h + 512. Let w be u(-22). Solve w*x + j - 8 = x, -4*x + 3*j = 5 for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 266791.\nAnswer: 7, 38113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*a**4 - 16344*a**3*d*v - 101*a**2*d + 16*a*v + 2*d*v wrt a?\nAnswer: -120*a - 98064*d*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 140 divide 340060?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 63338 is divided by 4221?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2598 is divided by 1293?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*z = -5*a + 10, -6*z + z = 11*a - 22. Sort -3, -0.2, 432, -0.5, z.\nAnswer: -3, -0.5, -0.2, z, 432","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(sqrt(891) + -1)*-5.\nAnswer: -15 + 135*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 5066322476 to the nearest integer?\nAnswer: 71178","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 436499 is divided by 20.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 20571245 to the power of 1\/3, to the nearest integer?\nAnswer: 274","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 6 - 27. Let s = x - -23. What is the greatest common factor of 16 and s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 353, -211.\nAnswer: -211, -5, 353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*m - 2*m + 0*m)*(3*m**2 - 5*m**2 + 4*m**2) + (-2*m**2 + m**2 + 2*m**2)*(2 - 2 - m) - 2 + 2*m**3 + 2 + 6*m**3 - 2*m**3 + m**3.\nAnswer: 8*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m - f + 5 = 0, 3*f - 2 = -m - 22. Let y(d) be the third derivative of d**4\/12 - d**3\/6 + d**2. Let o(w) = 3*w - 1. Determine m*y(u) + 3*o(u).\nAnswer: -u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 174*i**3 - 2293*i + 370*i**4 - 446*i - 371*i**4 wrt i.\nAnswer: -12*i**2 + 1044*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1527 (base 13) in base 6?\nAnswer: 22123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 257 = 17. What is the units digit of a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 2*m = -0*f - 37, -5*m + 112 = 3*f. List the prime factors of 18\/((1\/(-5))\/((-52)\/f)).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 0 by -144.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 437548 (base 9) to base 6.\nAnswer: 5334155","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 6*d - 2*q = -33, -13 = -2*d - q. Suppose 8*s - 3 = d*s. Suppose 0*a - s*a = -27. List the prime factors of a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1882 + 1882. Put -0.3, z, -10 in descending order.\nAnswer: z, -0.3, -10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -r**2 - 6*r - 10. Let j be f(-7). What is the tens digit of (-33*1)\/(j - -16)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does -79\/18 = -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 236*d + 472. Let n be c(-2). Suppose 4*t = t + 3. Let q be (3 - (-1 + t)) + -2. Solve n = -y - q for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 times 303581.5\nAnswer: -607163","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*b = 7*z - 3*b + 99, -772376*z = -772377*z + 4*b - 93 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -8 - -10. Let a(b) = -b + 3 + 1 - 2*b**2 - b**3 - 1 - 5*b**j. Is 5 a factor of a(-7)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 + -14 + -25 + 100 + 15 + -17\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1440 - -1696. Calculate the highest common factor of u and 96.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -77, -141723 in decreasing order.\nAnswer: -3, -77, -141723","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(95) + 2*sqrt(95))*3 - ((-1*sqrt(95) + sqrt(95))*-2 + sqrt(95)))\/(-5*sqrt(35)\/(sqrt(42)\/sqrt(54))).\nAnswer: -8*sqrt(19)\/15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 34482050?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 28863?\nAnswer: 3, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of b**6 + 422*b**5*t - b**3*t + 2*b**2*t + 3*b**2 + 1029*b*t wrt b.\nAnswer: 120*b**3 + 25320*b**2*t - 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = 31*r. Let w(f) be the second derivative of -f**5\/40 - 11*f**3\/6 + 34*f. Let b(n) be the second derivative of w(n). Give i(b(z)).\nAnswer: -93*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) 9 (b) 0.4 (c) 4\/7 (d) -42\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 36 minutes before 10:52 AM?\nAnswer: 10:16 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -89 - 57939*g + 19995*g + 93 + 2*g**2.\nAnswer: 2*g**2 - 37944*g + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 573.6725 kilograms?\nAnswer: 573672500000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 2*(-87)\/12*-2*(-77)\/77?\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*b = 4*m - 18 + 4, -3*b - 9 = 0 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -6.437 - 0.063. Let z = l + 4.8. Let n = z + -1.3. What is the biggest value in 1, 3, n?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -11 - -7. Let z be (-9)\/6*3\/9. Which is the closest to -1? (a) z (b) l (c) -3\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 21012 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -491 in 4, 3\/4, 0.1, 2?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 4 - -23245420?\nAnswer: 23245424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 1 + (3\/(-18) - 1). What is the nearest to -0.1 in o, 4, -0.04?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -0.4, -2\/2237, -0.1, -2\/7.\nAnswer: -0.4, -2\/7, -0.1, -2\/2237, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((t*t**(-3\/4)*t)\/((t**(-2\/7)*t)\/t))**(-2\/11) assuming t is positive.\nAnswer: t**(-43\/154)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 15*g**2 + 4*g - 20. What is the tens digit of k(-8)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nf when two letters picked without replacement from {b: 2, n: 7, f: 2}.\nAnswer: 7\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -34979303281*y**2 - 17*y**3 + 34979303281*y**2.\nAnswer: -17*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = -3*g - 5*a + 52, 3*g - 36 = 3*a. Sort -5, g, -9 in ascending order.\nAnswer: -9, -5, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = w**3 + 4*w**2 - 2*w - 4. Let q be c(-4). Suppose q*d = -8 + 24. Calculate the greatest common divisor of d and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p\/p**(1\/2))**(-42)*(p*p*p**0\/p)**47)\/((p**(-2\/3))**1)**(2\/39) assuming p is positive.\nAnswer: p**(3046\/117)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:23 PM and 1:40 AM?\nAnswer: 617","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d = -7 + 4. Let w be ((-4)\/(-10))\/(4\/20). Let m(c) = c + 2*c - w*c - 2. Calculate m(d).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*g + 1240 + 4790 = 0. Suppose 82 - g = -f. Is f prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 575573*p**5 - 14*p**3 - 154273111*p?\nAnswer: 11511460*p**3 - 84*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -62, -280, -644, -1154?\nAnswer: -1810","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -55, -68, -55, -4, 97, 260, 497?\n\"Answer: 2*o**3 + o**2 - 30*o - 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(q) = -6*q + 10. Let g = 51 - 27. Calculate the remainder when y(-22) is divided by g.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -3*s**2 + 158*s + 13. What is u(53)?\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a millennium in decades?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 682, 5226, 17350, 40774, 79218, 136402, 216046?\n\"Answer: 620*g**3 + 70*g**2 - 6*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**3 + a**2 - 5*a - 1. Let p(t) = t**3 - t**2 + 4*t + 1. Let f(u) = -5*k(u) - 6*p(u). Determine z so that f(z) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1690?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 - 5 - 1 + 330*c - 74*c + 1.\nAnswer: 256*c - 5","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n be (1 - (-24)\/(-18))*-9 + -1. Solve -f + 4*c - 7 = 0, 16*c = 2*f + 12*c + n for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*i**2 - 12594685*i - 18892023.\nAnswer: -(i + 6297341)*(2*i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: 10*-4*1\/20*36000\/(-750)\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 488*r + 2*g - 6 = 489*r, -4*r + 16 = 2*g. Solve -5*u + 16 = -3*i + r, 2*u = i + 5 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*a + 39 = 2*f, 5*a = -3*f + 29 + 39. Suppose -15 = -o - 4*o, -3*r - f = -4*o. Let m(w) = -4*w - 1. Determine m(r).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = 3*l**3 + 2*l**2 - 2*l + 10. Is m(3) a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -10 - -645. What is the units digit of 4 + 1 + 1*(r - 8)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0 + -0.5. Let u = -8 + 8.2. Which is the third biggest value? (a) u (b) q (c) -1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11011111010 (base 2) to base 4.\nAnswer: -123322","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let i be ((-36)\/(-12))\/(3\/2). Suppose -8 = -2*v - i*v. Solve -v*f = y - 5 - 7, 0 = -f + 5*y - 5 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 60, 156, 388, 828, 1548, 2620, 4116?\n\"Answer: 12*z**3 - 4*z**2 + 24*z + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 29 = -5*h + 4, 0 = 3*h + 3*i + 27 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*d - 288 = d. Let f be 22*(-2)\/(-55)*2\/4*5. Let g(t) = -d + 67 + 0*t**f - t**2. Let c(x) = -1. Determine -5*c(j) + g(j).\nAnswer: -j**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 87*k**2 + 64*k**2 + 30*k**2 - 123*k**2 + 105*k**2.\nAnswer: 163*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 5773 divided by 111?\nAnswer: 5773\/111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s - 5. Suppose 2*w = 5*w - 18. Let g(a) = 6*a + 4. Give w*g(v) + 5*u(v).\nAnswer: v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k + 23 = 4*y + 2*k, -2*y + 4*k = -14. Let v be (-24861)\/30 + (y - 7). Let x = 829 + v. What is the common denominator of x and -127\/12?\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5474 and 238?\nAnswer: 5474","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 33 - 15. Let z = 18 - o. Factor 12 - 2*n**2 + 4*n + z*n - 7*n + n.\nAnswer: -2*(n - 2)*(n + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 10*k**4 + 7*k**4 + 6*k**4 + (-k**2 + 209*k**3 - 216*k**3 + 0*k**2 + (-k**2 + k**3 + k**2)*(-5 + 3 + 3))*(-k - 2*k + k) - 5*k**3 + 5*k**3 + k**4.\nAnswer: 36*k**4 + 2*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 88 is divided by 31?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o - 3*i + 10, 5*o + 5*i = -50 - 25. Let n(v) = -v**3 - 11*v**2 + 3. Let c be n(o). Solve -8 = -7*p + c*p for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -36878039, -73756079, -110634119, -147512159?\n\"Answer: -36878040*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*w = -4*t - 104 + 33, t + 9*w = -59 for t.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in 5, -15, 0.3, -740, 2\/13?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 39885 divided by -58.\nAnswer: -39885\/58","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.19 in -0.23, 0.48, 1, 566, -3, -1\/3?\nAnswer: -0.23","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -y, 25*y = v + 28*y - 15. Let l(q) be the first derivative of -4*q**2 - q - 3. Give l(v).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-57)\/(-108) - 10\/(-45). Find o, given that 3\/4*o**2 + 1\/4 + 1\/4*o**3 + h*o = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -1193, -4, -5, -3, -118.\nAnswer: -1193, -118, -5, -4, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f = k - 0*k - 87, 3*k - 3*f = 333. Let h(g) = 2*g + 3. What is the remainder when k is divided by h(12)?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 34 divide 1503543?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 129755.3839 rounded to the nearest integer?\nAnswer: 129755","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 4*p + 2*l = -1291, 4*p - 1752 = -5*l. Suppose 0 = -5*g + 9*g + 508. Let b = p + g. Is 18 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -3731091, -3731295, -3731497, -3731697, -3731895, -3732091, -3732285?\n\"Answer: o**2 - 207*o - 3730885","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -9596*f + 3454*f - 9242*f + 6195*f - 11266*f to p + x*f and give x.\nAnswer: -20455","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-6)\/15 - (-4754)\/10. Let n be 10\/(-6) + (-274)\/(-6). Find the common denominator of (-8)\/n + k\/132 and 81\/22.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 2\/5? (a) 100728 (b) -0.2 (c) 1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 18 and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 at most as big as -30\/2251?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 31931494?\nAnswer: 2, 7, 29, 78649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -21*g + 422. Let q be w(20). Let l = 8\/3 + -7\/6. Sort 2\/203, l, q in ascending order.\nAnswer: 2\/203, l, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*l**3 + 16*l**3 - 10*l**3 - 1 + 6*l as v*l**3 + k*l + o*l**2 + p and give v.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 d when two letters picked without replacement from dgdgggg.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth root of 2693 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from vqvvqvqqqqvqq. What is prob of sequence vvqq?\nAnswer: 28\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let -f**2\/4 + 67*f\/4 + 17 = 0. Calculate f.\nAnswer: -1, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve -17*r = -14506 + 14098 for r.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -100 by -77.\nAnswer: 100\/77","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1 - 5) + 7 + (-2 - -2)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine g so that 6*g**5\/5 + 141868*g**4\/5 + 945538*g**3\/5 + 425444*g**2\/5 - 945544*g\/5 - 567312\/5 = 0.\nAnswer: -23638, -6, -1, -2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Express d**2 - 8 - 6 - 1 + d + 5 in the form i*d + s*d**2 + t and give t.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 41*o + 5*t + 10 = 36*o, 4*t + 4 = 0. Sort 82, o, 5 in descending order.\nAnswer: 82, 5, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 8*v**2 + 0*v - v + 14*v**2 - 3*v**2 + v**3 as k + q*v + s*v**2 + t*v**3 and give t.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 r, 1 c, and 1 n when three letters picked without replacement from {n: 7, r: 3, c: 1, l: 2, m: 1, d: 3}?\nAnswer: 21\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -959 - -1730. Suppose -a + 1 + 4 = 0, -4*f + a = -y. Is f composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1796 a multiple of 112?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(m) = 2*m - 1. Let n(z) = -7 - 4 - 3*z + 7 + 6. Let k(f) = 2*a(f) + n(f). Let s(c) = 8*c. Determine k(s(y)).\nAnswer: 8*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rt when two letters picked without replacement from {q: 5, t: 6, k: 1, b: 2, r: 5}.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 120 a multiple of 15?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -49830000 = -2*k + 13*k. What is k rounded to the nearest 100000?\nAnswer: -4500000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -2*z - 2. Let k be j(-1). Let i = -47 + 66. Let n be 15\/((-315)\/14) - i\/(-15). Which is bigger: k or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -40.04 + 42. Let j = g + 0.04. Let k = -2298.2 + 2298. What is the closest to 1\/2 in 4, j, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -107 not equal to -208?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Does 26 divide 20936?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 2301649648?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -137, -279, -423, -569, -717?\nAnswer: -867","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = v**3 + 5*v**2 - 33*v - 86. What is the remainder when y(-3) is divided by 30?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6589871 is divided by 941409.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) be the third derivative of 3*s**2 + 0*s**3 + 0*s**4 + 0*s**6 - 51\/10*s**5 + 56 + 0*s + 41\/70*s**7. What is the third derivative of h(m) wrt m?\nAnswer: 2952*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(162)*-1*5 - (sqrt(8)\/sqrt(4)*-3 + 1))**2.\nAnswer: 84*sqrt(2) + 3529","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = c**3 - c**2 + 6*c - 10. Determine n(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -t + 30 = 3*f + 2*f, -4*t - 3*f + 35 = 0. Suppose t*m - 10 - 40 = 4*c, -5*c = -4*m + 49. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 u and 1 q when two letters picked without replacement from {q: 1, g: 2, u: 1}.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 24 and 53048?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*f - 161 + 359 = -5*k + 172, 2*f + 5*k + 42 = 0 for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let v(z) = 26006*z. Let u(m) = -400*m. Calculate u(v(r)).\nAnswer: -10402400*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(g) be the first derivative of 8*g**5\/5 - g**4\/2 + 13*g**3\/3 + 14*g + 212. Find the third derivative of z(b) wrt b.\nAnswer: 192*b - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1410 - 328536085.\nAnswer: -328537495","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -53*f**2. Let m(l) = 779*l - 779*l + l**2. Determine k(m(w)).\nAnswer: -53*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*j - 3*j + 2*j)*(-1 + 1 - 2*j**2) - 2*j**3 + j**3 + 0*j**3 + j**3 - j**3 - j**3 + (0*j**2 - 2*j**2 + 3*j**2)*(5*j - 4*j + 2*j).\nAnswer: 7*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 44 (base 10) to base 4.\nAnswer: 230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3) + 1 + sqrt(3) + sqrt(3) + sqrt(3))**2 + -5 + (3*1*sqrt(3))**2.\nAnswer: 8*sqrt(3) + 71","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1710 divided by 6.\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(2*sqrt(68)*2 - sqrt(68) - (sqrt(68) + 1*-1*sqrt(68)))\/(((sqrt(12) - -2*sqrt(12))*-5 - sqrt(12))\/sqrt(3)).\nAnswer: -9*sqrt(17)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -23d (base 15) in base 5?\nAnswer: -4013","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = -6*z**3 - 4*z**2 - 3*z - 3. Suppose 9*p + 23 + 4 = 0. Is l(p) a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (28 - 28 - 29*p)*(-12*p + 41*p**2 - 38*p**2 + p) in the form l + h*p**3 + z*p**2 + i*p and give z.\nAnswer: 319","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13*j - 3. Determine h(5).\nAnswer: 62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence re when two letters picked without replacement from {l: 4, r: 10, u: 4, e: 2}?\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*d**2 - 3*d**2 + 5*d**2)*(8*d - d - 3*d) + (8 + 3 + 10)*(-6*d**3 + 3*d**3 + 5*d**3).\nAnswer: 34*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -173*o + 173*o - 13*o**3 + 10*o**3.\nAnswer: -3*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 17096057?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 39 + -48.8. Let w = 8.83 + v. Let s = -0.03 + w. Put s, 0.4, 2 in decreasing order.\nAnswer: 2, 0.4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -54231, -108472, -162545, -216366, -269851, -322916, -375477, -427450?\nAnswer: -478751","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -27573 - -41956. What are the prime factors of t?\nAnswer: 19, 757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 8599\/702 - -1\/1404. Let k(j) = -j**2 - 2. Let y be k(-4). Calculate the common denominator of 56\/12*y\/64 and f.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 17386805 is divided by 109.\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8949240?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 2:37 AM?\nAnswer: 2:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-4)\/(1 - (-14 + 1)). Which is the second biggest value? (a) -3 (b) 3\/2 (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15054.\nAnswer: 2, 3, 13, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is (1\/(3\/2))\/(-13 + 2006\/177)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -131071 by -2.\nAnswer: 131071\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 1 + 1. Let i(n) = -3*n**2 - 5*n**b + 3*n**2. Let p(f) = f. What is i(p(w))?\nAnswer: -5*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 2*k + 14 = 0, -4*k = 5*m - 49 - 49. What is the highest common divisor of m and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((((y*y**3)\/y)\/y)\/y**5)\/(y**(-4\/9)*y**16) assuming y is positive.\nAnswer: y**(-167\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Does 6448 divide 1848612925?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 14364771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -7075 + 7072. What is the nearest to -4 in f, -0.3, 10?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -531*g**4 + 40*g**3 + 42217*g**2 wrt g.\nAnswer: -12744*g + 240","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let x(z) = -2*z**2 + 42*z + 5. What is the units digit of x(19)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*s**3 - s**3 - 3*s**3 + (24 - 5*s**2 - 24)*(-1 + 6 - 3)*(0*s - 2*s - s))*(17*s - 7*s + 17*s).\nAnswer: 783*s**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v**4 - 3681*v**3 - 737112*v**2 + 1488924*v = 0. Calculate v.\nAnswer: -177, 0, 2, 1402","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*q - 20*g + 15*g, 20 = 3*q + 4*g. Suppose 205 = -5*d + 3*j, 4*d - j - j = -164. What is the closest to d in q, -4, -1?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*(2*(5 + sqrt(108)) - ((-3*sqrt(105))\/sqrt(7))\/sqrt(5)).\nAnswer: -45*sqrt(3) - 30","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Divide 4259 by 5.\nAnswer: 4259\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 2265124*v**3 - 791*v - 3153?\nAnswer: 13590744*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (9\/(-15))\/((-2)\/(-20)). List the prime factors of 129\/12*-2*i.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((-3 - n**2 + 3)*(3 - 4 - 1) + 2*n - 2*n + 2*n**2 + 5950*n**2 - 2525*n**2 - 2393*n**2)*(-1 - n**2 + 1).\nAnswer: -1036*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15 + 8 + 2 + 1 + -5 - 22.\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20786.\nAnswer: 2, 19, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*s**3\/5 - 59074*s**2\/5 + 118142*s\/5 - 11814 = 0.\nAnswer: 1, 29535","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 16225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 12447*d**3 - 6227*d**3 + 6*d - 13*d**2 - 6219*d**3. What is n(13)?\nAnswer: 78","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 12 = -15*b + 3*b for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 73853 and 152?\nAnswer: 590824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from sss. What is prob of picking 3 s?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {l: 2, m: 4, v: 4}. Give prob of picking 2 l.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 1285 and 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f*f*f*f**(4\/11)\/f)\/f**3*(f**(-1)\/f)**4 assuming f is positive.\nAnswer: f**(-95\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let k(d) = -d**3 + 37*d - 6. Let o be -2 + 8 - (1 + -1). Let g be k(o). Solve -5*y - a = -g*y - 30, -2*y - 3*a + 25 = 0 for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 7*f - 11*f. Suppose 2*d - 5*d - m + 36 = 0, f = -5*d + m + 60. What is the smallest common multiple of d and 27?\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -q - 6*j + j + 6 = 0, 0 = -5*j + 15. Let k(i) = -i**3 - 6*i**2 + 15*i + 16. Is k(q) a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 331057162924 and -0.1?\nAnswer: 331057162924.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 4861 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*k - 251 = 197 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let w be ((-4)\/(-6))\/((-4)\/(-30)). Let a(o) = 3*o**2 + 19*o + 42. What is the lowest common multiple of ((-4)\/5)\/((-1)\/w) and a(-3)?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(w) = 5*w**2 + 28*w + 15. Let s be m(-5). Solve -2*j - x + 2 = -s*x, 0 = -j + 5*x - 21 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (l**(-3\/4)*l*l)**3*(l*l**(2\/17))**(-8\/5) assuming l is positive.\nAnswer: l**(667\/340)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 6 a factor of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2100)\/(-1120)*(-32)\/(-6)?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*f + k + 45, -f - 29*k = -33*k - 12 for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Divide -6772822 by -14.\nAnswer: 483773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 23283?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 35801315 and 715?\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 9533100 rounded to the nearest 10000?\nAnswer: 9530000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2333?\nAnswer: 2333","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 8309053?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 28.2195 + -28.3. Let x = -0.07453 - s. What is x rounded to four dps?\nAnswer: 0.006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1 + 3 - 2 + 6*a**3.\nAnswer: 6*a**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -959*f**2 + 11*f - 7. Let z(l) = -3*l. Give t(z(k)).\nAnswer: -8631*k**2 - 33*k - 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence od when two letters picked without replacement from {o: 3, x: 2, d: 8, y: 6}?\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 101011110101000101110110 (base 2) to base 9\nAnswer: 23551752","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 488 minutes after 1:34 PM?\nAnswer: 9:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is (59 + 4)\/7*2\/(-33)?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round 72896436.5 to the nearest one thousand.\nAnswer: 72896000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Does 143 divide 20735?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-16)\/(-5) + -3)\/((243\/45)\/(-9))?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-2)\/(4\/(-78)) - 4. Let p = -26 + r. Suppose p - 244 = -5*s. What are the prime factors of s?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:24 PM and 8:26 PM?\nAnswer: 482","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put -684, 4\/11, 5 in decreasing order.\nAnswer: 5, 4\/11, -684","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2558 + 3492 = 10*r. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u\/u**7*u*u**1)\/(u**8*u\/(u\/(u*u\/(u\/(u**4\/u)*u)*u)))*(u**0\/u*u)**(-14)*u**2*u**4 assuming u is positive.\nAnswer: u**(-9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 292 and 219.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.1 and -6.3.\nAnswer: -0.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -p - 4*b + 20, -5*b + 24 = -3*p - 1. Let u(a) = -a**2 - 11*a - 24. Let n = -2 - 5. Let i be u(n). Solve p = -2*z + m - i*m, -z + m = 5 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*s - g + 4*g - 1 = 0, s - 3*g - 2 = 0. Let r(y) = -2*y - 2*y + 15*y**2 + 3*y. What is the tens digit of r(s)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 614570 divided by -199\nAnswer: -614570\/199","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37*h - 430924 = -39*h. Suppose 13*q + 13*q = h. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let j(p) = -2*p. Let m(a) be the second derivative of 17*a**3\/6 - 11*a**2\/2 - 3*a. Let h(b) = 6*b - 4. Let q(x) = 11*h(x) - 4*m(x). Give j(q(f)).\nAnswer: 4*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.5 and -1303?\nAnswer: 651.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r = 3*r - 44. Let t = -9 + r. Suppose t*v - 10 = v. Calculate the remainder when v is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: 2551673 divided by -2\nAnswer: -2551673\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = 24*i**2 + i**3 - 144 + 17*i + 131 - 5*i**2. Let g be p(-18). Solve -10 = -g*z - 0 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -78686115 + 78686212.73631036. Let o = u + -73.7363103. Let f = -24 + o. What is f rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q - 4 = -4*z, 4*z - 2*q + 340 = 342 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 578271?\nAnswer: 3, 192757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {z: 2, k: 1, g: 3, r: 1, i: 1, d: 10}. What is prob of sequence kgz?\nAnswer: 1\/816","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 169, 165, 159, 151, 141?\nAnswer: 129","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30*j = 47*j - 52*j + 550 for j.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t + f = 18, 0 = t - 0*f - 3*f - 11. Suppose -t + 0 = -p. Suppose -2*h + 2*x + p + 9 = 0, -2*x - 2 = 4*h. What is the remainder when 4 is divided by h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (7516\/(-5637))\/((-52)\/(-9))?\nAnswer: -3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = 2*m**2 - 132*m - 4. Does 11 divide p(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = -5*m + 1. Suppose 5*a = 2*l - 9, 4*l + 4*a = 3*l - 2. Let o(z) = 2 + 1 + 4*z + 1 - 5. What is l*s(r) + 3*o(r)?\nAnswer: 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is (15\/(-6))\/5*-4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (72\/(-20))\/(13\/5070*-36).\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (x**42*x**(-47)\/x*x)**(-1\/20) assuming x is positive.\nAnswer: x**(1\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -6, -155, -2 in decreasing order.\nAnswer: 0, -2, -3, -6, -155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.98 + 0.02. Sort 1\/5, q, -4 in increasing order.\nAnswer: -4, 1\/5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -37*x**4 + 6527*x**2 - 7*x + 684881?\nAnswer: -148*x**3 + 13054*x - 7","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1098299 to the power of 1\/2, to the nearest integer?\nAnswer: 1048","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = h**2 - 79*h + 184. Calculate the remainder when 306 is divided by w(0).\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there in nineteen quarters of a day?\nAnswer: 6840","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-10)\/15)\/(20\/24*(-53)\/((-7420)\/(-56)))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3\/5981 - -35343\/1082561. Suppose -2*y + 7*p + 17 = 2*p, -9 = 3*y + 4*p. Which is smaller: y or n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -15 + 47. Let o = m - 17. Let z = -8 + o. Solve 1 = -2*d - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is -36 - 48765b?\nAnswer: -487695","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z\/(z\/(z\/z**(-6\/11))))\/(z**6*z)*((((z*z**(-1))\/z)\/z)\/z)**(19\/2))**(-9) assuming z is positive.\nAnswer: z**(6525\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13 - -3344?\nAnswer: 3412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 31630, 126400, 284300, 505330, 789490?\nAnswer: 1136780","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 5095 is divided by 392.\nAnswer: 391","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: (-31)\/4 - (19\/(-2) + (-5969)\/(-508))*-4\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 774283 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 31745 - 22632. What are the prime factors of h?\nAnswer: 13, 701","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 228169 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-2)\/(-5) - (-1632)\/120. Let v be (12\/(-9))\/((-4)\/42). What is the highest common divisor of t and v?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 * -0.09\nAnswer: -0.09","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -34765, -139049, -312855, -556183, -869033?\n\"Answer: -34761*n**2 - n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many nanometers are there in 6286.89 centimeters?\nAnswer: 62868900000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*z = 3*y + 3*z - 18, 5*z = 5. Suppose 16 = y*p + 1. Put p, -6, 0.3 in increasing order.\nAnswer: -6, 0.3, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1 - 2)\/(6\/4). Let a(p) = p**2 + 5*p - 12. Let d be a(-7). Sort h, -4, d in ascending order.\nAnswer: -4, h, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 470 minutes before 9:12 AM?\nAnswer: 1:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26 - -1. Suppose -32 + 5 = -9*h. Suppose j - 4*g - 60 = -8*g, 95 = j - h*g. What is the remainder when j is divided by m?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(y) be the third derivative of -y**7\/140 - 49*y**6\/240 + 421*y**5\/120 - 293*y**4\/16 + 69*y**3\/2 - 5*y**2 + 7. What is f in n(f) = 0?\nAnswer: -23, 2\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -o**3 - 4*o**2 - 4*o - 4. Let x = 1 + -3. Let a = 2 + x. Let m be (-1 + 2)*(-3 + a). What is h(m)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) be the first derivative of j**4\/12 + j**3\/2 - 2*j**2 + 1. Let h(n) be the second derivative of x(n). Calculate h(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (60\/(-36))\/(2\/(-12)). Suppose -y = y + k. Is -4 smaller than y?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q = -3*v - 6, 7*q = -4*v + 2*q - 15. Suppose 2*r - 5 + 7 = v. Put -7, r, 0 in decreasing order.\nAnswer: 0, r, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 4 and -41.\nAnswer: -164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Convert 300 (base 4) to base 14.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*w**3 - 129*w**2 + 861*w - 735.\nAnswer: 3*(w - 35)*(w - 7)*(w - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6 + -2. Let i be 4060002\/7 + v\/(-14). Round i to the nearest 100000.\nAnswer: 600000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -153 = 127*k - 1804 for k.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (67 - 67 - 52*b + 2*b**2)*(0 + 0 - 2) + (3 + 2 - 3)*(b**2 + 2 - 2).\nAnswer: -2*b**2 + 104*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*p - 1120 = -19*p. Let d = 70 + -165. Let j = d - p. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(w) = 9*w**2 - 87. Let k be u(10). Let d be -2 - (0\/(-1) + -5). Suppose d*p - 2*p - k = 0. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7 and 414603?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 122159159 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/5 in -2\/11, 10917, -588, -0.5, -0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 14 divide 992796?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.281136l in millilitres?\nAnswer: 6281.136","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 269 - 1 = -4*u, -2*c = 4*u - 122. Let t(m) = 3*m**3 - 3*m**2 + m - 1. Let x be t(2). What is the greatest common factor of x and c?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 286 by -143.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 10279 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let i(w) = -19*w**3 - 26*w**2 + 12*w - 7. Let a be i(-7). Suppose -3*d - a = -4*r, -2*d - 3865 = r - 4*r. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 321 divided by 7?\nAnswer: 321\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6 (base 8) to base 6.\nAnswer: -10","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) be the second derivative of -1283*p**6\/30 - 182*p**3\/3 - 1019*p. What is the second derivative of l(y) wrt y?\nAnswer: -15396*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -86*x - 20*x - 86*x**2 + 125*x**2 + 3 - 54*x - 5 wrt x.\nAnswer: 78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(a) = 117*a**2 + 77*a + 221. Is d(-15) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 18\/(8 - 17)*((-3724)\/(-114) + -24)?\nAnswer: -52\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Express -6*z**2 + 0 - 2*z**3 + 2 + 8*z**2 as w*z**2 + x*z + c*z**3 + j and give j.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -14.67 - -15.67. What is the closest to p in 0, 1\/9, -6?\nAnswer: 1\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 0.4, 0.1, 0.5?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -162 - 108 = -3*c. Let x = c - 32. What is the units digit of x?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -10\/190401 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 538 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -0.73 + 0.8. Let o = -0.37 + m. Which is the smallest value? (a) o (b) -1\/5 (c) -1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 59, 118, 177, 236?\nAnswer: 295","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (30\/(-4))\/((-325)\/65)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-496)\/(-10) - (-12)\/150*5. Let c = 116 + z. What is the remainder when c is divided by (7 - 5 - -19)*1?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 25195?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -v**3 + v + 237. Let s be q(0). Let k = -189 + s. Calculate the highest common divisor of 64 and k.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -53 + 16 + 9 + 14 - z**3 + 14.\nAnswer: -z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g + 2343 = 4*j, -13*g = -17*g - 12. Suppose -19*x + j = -16*x. Is x a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5367.\nAnswer: 3, 1789","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*a + 23 = 8. Suppose 171 = -2*v + a*v - 5*m, -2*m = v - 199. Find z such that 6*z**4 - 3*z**5 + 3*z + 191*z**3 - 6*z**2 - v*z**3 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = -10*c - 45. Suppose 3*l = -15, z + 8 = 2*z - 3*l. Let u be r(z). Solve -u = 9*b - 14*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, 9, -5, -14 in descending order.\nAnswer: 9, 2, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -419 - 30?\nAnswer: -449","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 2744*u + 49400. Determine x(-18).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5 - 5 + 223*w**2 - 5 + 7 + w + w to the form a + c*w**2 + r*w and give a.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 769000 rounded to the nearest 100000?\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/2 of a meter in centimeters?\nAnswer: 550","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-2)\/10)\/(42\/(-5565))*4. Calculate the remainder when (y + 12)*3\/3 is divided by 20.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 2*g = 72, 0*r = 4*r + 5*g + 51. Let i = r - -268\/19. Which is the third biggest value? (a) 3 (b) 0.1 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(s) = s**3 - 7*s**2 + 32*s + 662. Give d(-6).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 71667?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*h - 713 + 721 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s = 41 - 47. Solve -2*b + 12 = -s*k, k + 5 = -3*k - b for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) be the third derivative of s**8\/1008 + 4*s**7\/105 + 1006*s**2. Factor r(x).\nAnswer: x**4*(x + 24)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -100002200 (base 3) to base 2.\nAnswer: -1100111101001","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 55 = 3*h + g, -5*h + 7 = -5*g - 58. Suppose 2*u = -u + 234. Let t = -27 + u. What is the greatest common factor of t and h?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((-2 - -1) + 191 + -181) - -15.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 287166 divided by 26106\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 31 a factor of 1126?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43851?\nAnswer: 3, 47, 311","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u\/((u*u**(-2\/3)*u)\/u))**(-5)*(u**(2\/3))**(7\/3) assuming u is positive.\nAnswer: u**(-16\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 19591223363 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 89627 is divided by 1331?\nAnswer: 450","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-682)\/(-3) + (-1057)\/453. Calculate the highest common factor of 720 and z.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be -1*1\/2*-14. Let w = -3 + d. Solve 0 = 3*t - 4*i + 11, t + 3*i = -w + 9 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 38, -2\/5, 0.3, -1\/54, -2\/13, 5, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-45 - 7*p + 45)*(-2*p**3 + 2*p**3 + p**3 + (0 + 0 - 1)*(-p**3 + 4 - 4)).\nAnswer: -14*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 2, -3\/8, -1, -0.52?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from eeeneneneee. Give prob of sequence enn.\nAnswer: 8\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 1052 = -q, 4*w - q - q - 1056 = 0. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 2*u - 6. Let x be z(4). Let r(g) = g**3 + 5*g**2 + 4*g + 8. Let k be r(-5). Let p be 64\/k*(-1)\/12. What is the closest to x in 5, 0, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -651 + -2503?\nAnswer: -3454","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 32344 - 4051. What is the units digit of j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(q) = -2*q**3 - 2*q**2 + 2*q. Let x be c(-2). Suppose x = -o - 10. Let f = -4 - o. Solve -f = m - 3*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-5\/3)*v*v)\/(v*v*v*v**(-12)\/v*v)*v**(-9)*v**(-2\/5) assuming v is positive.\nAnswer: v**(-1\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = -3*d**2 + 2*d. Let p(f) = 498*f**2 + 1. Determine o(p(m)).\nAnswer: -744012*m**4 - 1992*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1442 = -6*d + 8*d. Suppose 145 = -6*k + d. Calculate the highest common factor of 12 and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 10 - (6 + 1)*(-10)\/(-14).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 8 + 17a?\nAnswer: 186","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -0.5 and -3966338.\nAnswer: 1983169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5473 is divided by 776?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 19*g = 11*g + 896. Is 7 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = -64479*h + 34. Give g(0).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -c + 94. Let o(x) = x + 93. Let t(d) = 6*o(d) - 7*y(d). Is t(26) a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 46\/5 + -967\/105. Let r be ((-164)\/126)\/((-20)\/6). Let x = r - n. What is the nearest to -1\/4 in 0, x, 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a\/a**(1\/25))**(-7\/5)\/(a**23)**(3\/31) assuming a is positive.\nAnswer: a**(-13833\/3875)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 240966679 to the power of 1\/5, to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is t in 2*t**4\/3 - 20842*t**3\/3 - 14122808*t**2 - 19879266664*t\/3 - 78840506272\/3 = 0?\nAnswer: -898, -4, 12221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -652 divided by 4\nAnswer: -163","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1139.\nAnswer: 17, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -0.0260734 and -0.4?\nAnswer: 0.01042936","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -759 = -54*c + 751 + 2. Solve -88 = -c*b - 4 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1476 + -2086. Let a = -3039\/5 - o. Calculate the common denominator of (-9)\/30*1*-2 and a.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -22 + -44. Let g = 66 + p. Sort g, 3\/5, -5\/9 in descending order.\nAnswer: 3\/5, g, -5\/9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 319.2356g in nanograms?\nAnswer: 319235600000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6357946939?\nAnswer: 53, 79, 1518497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-r**3 + 2*r**3 - 2*r**3)*(21 - 29*r + 27*r - 1).\nAnswer: 2*r**4 - 20*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -58 + 57.65. Let n = w - -1.35. Let i = -4 + 3. Which is the smallest value? (a) n (b) -7 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13576753 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = -51*i + 1. Suppose 2*a + 2*c = c + 1, -2*c + 10 = 0. Let q be y(a). Suppose 0 = 2*f - f - q. What is the tens digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 0*(-1)\/4 - -3. Suppose -2*q = f*q - 10. What is the units digit of q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + 2 = -2*u, -l = 4*u + 9 - 11. Let m be (-60)\/(-14) - 6\/21. Let r = -0.1 - -1.1. What is the nearest to r in u, m, 0.4?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i**2 + 16*i - 384 = 0. Calculate i.\nAnswer: -12, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = 18*a**2 - 389*a - 37. Suppose 80 = 3*o + 2*l, 37 = 3*o - 5*l - 15. Calculate the remainder when b(22) is divided by o.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 309 and 15?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 121.8 + -118.8. Which is the smallest value? (a) h (b) 233 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 655*v + 5015 = -2190 for v.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-276)\/276*5\/(375\/6)?\nAnswer: -2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.73888ng in tonnes?\nAnswer: 0.00000000000000073888","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3379851 is divided by 140827?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put -4320, 0, -215, -0.5, 0.02 in descending order.\nAnswer: 0.02, 0, -0.5, -215, -4320","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-5)\/2)\/(10\/(-504)). What is the highest common factor of z and 594?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 8715, 35544, 80261, 142866, 223359?\nAnswer: 321740","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from giialkkqkakkkgkkq. Give prob of picking 1 l, 1 g, and 1 q.\nAnswer: 1\/170","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 3\/13, -0.1, -3034, -3, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15951?\nAnswer: 3, 13, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 97516\/165 - 591. Let b(n) be the third derivative of -1\/660*n**6 + 5*n**2 + 0*n**3 - 1\/1155*n**7 + 0 + 0*n + y*n**5 + 0*n**4. Let b(q) = 0. What is q?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15.1 + 14.435. What is a rounded to one dp?\nAnswer: -0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -63 in 0, 11\/2, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 17 + -12. Let f be m*(222\/5)\/3. Suppose -2*u + 546 = -f. What is u rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8\/18144*28*-3?\nAnswer: -1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -37363732*z + 12454590*z + 12454582*z + 12454571*z.\nAnswer: 11*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = -i**3 - 7*i**2 + 3*i + 8. Give d(-4).\nAnswer: -52","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1\/3, 11, 2\/5, 2.2, -0.5.\nAnswer: -0.5, -1\/3, 2\/5, 2.2, 11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((2 - 2 - 1)*(-1 + 1 - 31) + (-3 + 3 - 1)*(1 + 2 - 2))*(4*d - 2 + 2) to r + k*d and give k.\nAnswer: 120","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 5*z**3 + 5*z**2 + 5*z. Suppose -4*l - 4*g + 19 = 47, 0 = -3*g - 6. Let k(s) = 5*s**3 + 4*s**2 + 4*s. Give l*k(n) + 4*r(n).\nAnswer: -5*n**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 6827944254?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -59 + 47 + (21 + -3 + -3 - 9)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the third derivative of k**4\/8 + k**2. Let d(w) = -6575 + 6575 + 2*w. Give j(d(r)).\nAnswer: 6*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 28295*w**4 + w**3 + 916*w**2 + 43.\nAnswer: 679080*w + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -35 (b) 1\/17 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 91 minutes before 5:45 PM?\nAnswer: 4:14 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-3 + 23)*(-24)\/(-20). Suppose -4*r + 8*r = v. Suppose -5*c - 29 = -r*c. What is the units digit of c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 1406828, 2813679, 4220530, 5627381?\nAnswer: 7034232","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 215 and 363307?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 111013649 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = b**2 - 23. Let j(i) = -94*i**2 - 57. What is j(o) - 2*v(o)?\nAnswer: -96*o**2 - 11","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(d) = -6*d**2 + 265*d + 1148. Calculate b(-4).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 597 minutes after 9:11 AM?\nAnswer: 7:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express 12*d**3 + 5*d**4 - 16*d**4 + d**4 - 4*d**2 + 2*d + 5*d**4 + 4*d**4 as q + y*d**3 + c*d**4 + m*d + j*d**2 and give y.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the sixth smallest value? (a) -27 (b) -2 (c) 1\/9 (d) -6\/7 (e) 4\/9 (f) -34.7 (g) 38\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-5)\/(-1)*11798\/85. Let a = x + 176. What is a rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -868*d*x**3 - 1553*d*x**2 - 2*d*x - 4*x**3 wrt x?\nAnswer: -5208*d - 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -70ca7 (base 13) in base 5?\nAnswer: -22431332","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 6 and 114.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {l: 5, c: 4, y: 3, f: 1}. What is prob of sequence lyy?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10730464 or -75113240\/7?\nAnswer: -10730464","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b be 23 + -1 - (-11 - -8)\/1. Suppose 4*c - 25 = -b. Let i = 495\/1127 - 13\/49. Which is bigger: c or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -41107996 * -2.\nAnswer: 82215992","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = 26*m**2 - 174*m - 173. What is n(-1)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 101321419 to the nearest integer?\nAnswer: 466","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*w + 24 = 14*w. Suppose -9*v = 15*v - 120. Solve -w = v*a + 9 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1a16 (base 16) to base 7.\nAnswer: -25320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) = -u**2 - u - 3. Let a(m) = -40*m**2 + 31*m + 18. Suppose 19*t + 24 = 15*t. Let z(k) = t*v(k) - a(k). Find the second derivative of z(j) wrt j.\nAnswer: 92","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes before 11:13 PM?\nAnswer: 10:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 1\/(-7) + (-34)\/56 + 1. Suppose 4*w + 5*t = -16, 2*w - 5*t = -1 - 7. Which is the nearest to 13? (a) -2 (b) k (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = 271*w**2 + 2. Let l(d) = -271*d**2 - 3. What is 3*c(k) + 2*l(k)?\nAnswer: 271*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b(q) be the second derivative of -q**5\/20 + q**4\/4 - q**3\/3 + 3*q**2 - 8*q + 18. Determine b(4).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*c - 4*m = -3*c + 98, 8 = -4*m. Let i be (-2 - -4)*(-26)\/4. Let f = c + i. Does 2 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 785 = 4*w - 323. Suppose -2*k + 113 = -w. Does 39 divide k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*r - 57 = r. Suppose -r*n + 16*n + 24 = 0. List the prime factors of n.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-5)\/(105\/(-1266)) + 2\/(-7). Let q be (-15)\/t + 21\/4. Solve 0 = q*k + 6 - 26 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(f) = 7*f**2 + 40*f + 39. Let u be m(-1). Solve -a + 13 = -4*v, 3*v = 3*a - u + 3 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Are 0 and 48\/76055 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -527 - -1035\/2. Let l = -2059\/2 - -1002. Calculate the common denominator of o and l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -14 + 50?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) = -n**3 + 7*n**2 - 8*n + 15. Let w be q(6). Is (-39)\/26*(1052\/w)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -39*i + 16*i + 19*i + 216*i to the form d*i + s and give d.\nAnswer: 212","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p + 7*h - 2*h + 770 = 0, 459 = 3*p - 4*h. Round p to the nearest ten.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) = 3*s + 8. What is the units digit of a(6)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(s) = -7*s - 355. Suppose -3*n = -5*d - 257, -4*n + 1 = 5. Is 2 a factor of u(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -10, -6, -8, -22, -54, -110, -196, -318?\nAnswer: -482","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = v**2 + 6*v - 7. Let l be t(-8). Suppose 2*c - l = -51. Let y = -13 - c. What is the highest common divisor of 88 and y?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 5, -0.3, 2, 24, 9?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 83752 is divided by 1994.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 72 and 1896?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -4, -11, -30, -67, -128, -219?\nAnswer: -346","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -15692*-12.\nAnswer: 188304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4220, -4, -184, 40.\nAnswer: -184, -4, 40, 4220","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is cd3 + -91?\nAnswer: c42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 16*j = 18*j - 3342. Suppose -3450 + 941 = -3*m + 2*a, -3*a - j = -2*m. List the prime factors of m.\nAnswer: 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -383305*g - 306. Is i(-1) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence pttp when four letters picked without replacement from {p: 5, t: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*q + 8*q - q + (-2 + 0 + 1)*(6*q - 5*q - 3*q) + 202*q - 61*q + 316*q as x*q + h and give x.\nAnswer: 466","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify f**0\/f*f**2\/f*f*f\/(f\/f**(-1\/7))*f*f\/f**(-2\/9) assuming f is positive.\nAnswer: f**(194\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1235 + -33?\nAnswer: 1202","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -1320350 (base 6) in base 15?\nAnswer: -16829","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 472 minutes before 2:08 AM?\nAnswer: 6:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 2155182967 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*r + 5*h + 24, -2*h - 36 = -3*r - 3*h. Let g = 111 + -103. What is the lowest common multiple of r and g?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 90123 = w + w, -2*l = -w - 180258. Suppose -n + l = -56869. What is n rounded to the nearest ten thousand?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 2*b**2*d**2 + 2*b*d**3 - 58*b*d**2 - 61*d**3 wrt b.\nAnswer: 4*b*d**2 + 2*d**3 - 58*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) -0.3 (b) -4 (c) 11\/17 (d) 5 (e) -6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5 + (-13)\/((-130)\/40). Suppose -n*p + 605 + 2878 = 0. Calculate the highest common factor of 18 and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-42 - -23) + 24)*2\/50 + 232\/40.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 9.8 * -152646.\nAnswer: -1495930.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 16115 less than 16109?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -101011001100 - 101?\nAnswer: -101011010001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many kilometers are there in 0.7128684mm?\nAnswer: 0.0000007128684","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x + 16. Let f be l(32). Let t be ((-20)\/14)\/((f\/(-56))\/5). Solve t*i - 16 = -4*z, -3*i + 8*i + 5*z - 20 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = 13*n. Let f(j) = j**3 + 21*j**2 - 20*j + 45. Let g(d) = 2*d - 44. Let q be g(11). Let u be f(q). Give s(u).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -7 + (-12 - -8 - -7). Let z(a) = 1260*a**2 - 10*a - 39. Is z(r) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 28000433?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -797 - -1387. What is f rounded to the nearest one hundred?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 444825 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 47? (a) 19 (b) 2\/5 (c) -7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Does 37 divide 97408198?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -4.5 + -0.5. What is the third smallest value in 3, y, -9\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the second derivative of 3\/2*h**2 - 2\/3*h**3 + 0 - 2*h. What is r(4)?\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, -8, -4, 9, 4, -178, 5 in increasing order.\nAnswer: -178, -8, -4, 3, 4, 5, 9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 468 minutes before 2:35 AM?\nAnswer: 6:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2849810?\nAnswer: 2, 5, 19, 53, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7737 is divided by 146?\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 641502 to the nearest integer?\nAnswer: 801","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-112)\/40*45\/90)\/((-4)\/260)?\nAnswer: 91","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 less than 274191.298?\nAnswer: 274195.298","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -2*v**3 + 6*v**2 + v. Let z(m) = -m**3 - m**2 + m + 1. Let t(f) = p(f) - z(f). Let b be t(7). Which is greater: b or -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p be -1*2*((-155)\/10 + 2). Suppose 13*v + p = 118. Solve 1 = 2*d + 3, -4*w - 3*d - v = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*a + 2*x - 1 = 11, -4*x - 24 = 4*a. Let j be a\/(-10) + 12\/(-30). Solve j = 3*t - 8 - 1 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -10*s + 3. Let u(o) = o - 4. Let i be u(0). Let w be 0 - -3 - (-20)\/i. What is the tens digit of y(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0 - 0. Let y be (-3)\/(-90)*1*4. Which is the closest to g? (a) -0.5 (b) y (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(n) = 2*n**2 + 8*n - 1. Let l(y) = 2*y**2 + 7*y - 1. Determine -5*c(r) + 6*l(r).\nAnswer: 2*r**2 + 2*r - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 114054?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*n = -n - 2*n + 88 - 16, -l + 142 = -4*n for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 0 - -2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 82.92138 days in seconds?\nAnswer: 7164407.232","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*y**3\/9 - 518*y**2 + 13972*y\/9 - 3104\/3.\nAnswer: 2*(y - 2328)*(y - 2)*(y - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 3*(3 - 24\/9). Let s be (-2)\/(-2)*(2 + q). Suppose 0 = f + 4*y + 19, 3*f + 2 = -2*y - 5. Calculate the greatest common divisor of s and f.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-29 + 16 + -6 + 21)\/1.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-7)\/(-2) + -3)*4. Let d(q) = -3*q + 2*q - 3 + g*q. What is the least common multiple of 11 and d(11)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5589390277 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 10, 12, 16, 22?\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 88\/(-24)*24\/(-88)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 520 divided by -4\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort 3, 5, 7008 in descending order.\nAnswer: 7008, 5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 71 and 1846?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 12\/(-5)*(-95)\/171?\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {i: 7, a: 2, m: 4}. What is prob of picking 4 i?\nAnswer: 7\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -12\/11, 4 in ascending order.\nAnswer: -4, -12\/11, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1429, 2855, 4279, 5701, 7121?\nAnswer: 8539","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(l) = l**3 + 4*l**2 - 6*l + 2. Determine t(-5).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 39 + 3. Suppose -b + l = -0*b. What is the tens digit of ((-10)\/6 + 2)*b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 920\/2277 - 2\/54*6.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 48765, 48767, 48769?\nAnswer: 48771","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 times -58785?\nAnswer: -58785","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -16339 divided by 6\nAnswer: -16339\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8998\/1227*(4 - 3).\nAnswer: 22\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2019*a = 127*a - 154512 for a.\nAnswer: 72","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -6.8507 + 0.8507. Put 0.5, 0.4, 0, x, 0.2 in ascending order.\nAnswer: x, 0, 0.2, 0.4, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 9058498769 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-4)\/(-5)*(0 - -25). Let o = 36 - m. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 25173120?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 822 is divided by 33?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from miimimimmmimi. What is prob of picking 3 i?\nAnswer: 10\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z - 2 = 1. Solve 3 = z*n, 3*n - 4 = 2*o + 7 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3)\/(-6)*(-24)\/3.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -237\/4? (a) 23 (b) -1 (c) 4\/5 (d) 3 (e) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -10 - -33. Suppose -264 = 5*r - 44. Let h = -21 - r. Calculate the greatest common factor of h and g.\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -56394 bigger than -56614?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"} +{"text":"Question: Let f(o) = 5*o + 1. Let z = -2 + 3. Let i be f(z). What is the highest common divisor of 18 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 265 + 1?\nAnswer: 266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is -631400 rounded to the nearest ten thousand?\nAnswer: -630000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 217 - 861\/4. Let p = f - 23\/12. Let j = 2 - 0. Sort j, p, -0.4 in increasing order.\nAnswer: -0.4, p, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 39506292 and 118518876.\nAnswer: 118518876","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(g) be the second derivative of -19*g**8\/56 - 76*g**7\/21 - 761*g**4 - 11625*g. Find the third derivative of o(l) wrt l.\nAnswer: -2280*l**3 - 9120*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is w in -3*w**5 - 834*w**4 - 50334*w**3 - 532380*w**2 + 4887081*w - 4303530 = 0?\nAnswer: -198, -63, -23, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: -3 + -11 - -35 - 28\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -81*i**5 - 4*i**4 + i**3 - 5048*i**2.\nAnswer: -4860*i**2 - 96*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -1\/168050140 and 137\/30.\nAnswer: 504150420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(756) + (sqrt(756) - -3*sqrt(756)))\/sqrt(12))\/(6*sqrt(9)*1).\nAnswer: 5*sqrt(7)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*d + 2*d - 8 = 0. Let c be ((-2)\/d)\/(1\/18). Let w be c\/(-1 + 0\/(-1)). What is the greatest common factor of w and 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mwmw when four letters picked without replacement from {w: 4, b: 2, e: 1, m: 3}?\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-16)\/48)\/(92\/(-10764))?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 30532488 divided by 294.\nAnswer: 103852","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 819909467?\nAnswer: 13, 63069959","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -3398320.1*0.3\nAnswer: -1019496.03","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 35 = n, -o + 5*n + 142 = 149. Solve 19*t + o = -3*a + 15*t, -t = a + 2 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 653 - 657. Let d(v) = 7*v**3 + 5*v**2 - 5*v + 5. Let p = 0 - -3. Let k(o) = 4*o - 6*o**p - 4 - 6*o**2 + 3*o**2 - o**2. Calculate s*d(c) - 5*k(c).\nAnswer: 2*c**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -86 = -y + 2*p, 0 = 4*y + 4*p + 58 - 462. Is y a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2 - 2 + 3)*(-9 + 9 - 4*p)*(-5 - 4 + 8) in the form l + o*p and give o.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 18.1773 rounded to the nearest ten?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 - -5. Suppose -d*q - 7 = q + 3*r, 3*r = -3*q - 9. Let n(x) = x**2 - 4*x**2 + 4*x**q. Let g(f) = -f**2. What is n(g(v))?\nAnswer: v**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*v + 31*v + 28 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-10)\/(-4) + (-2118)\/36. Let u = 1361\/24 + c. What is the biggest value in -3, u, 0.07, -5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 52.842 + -4.842. What is the biggest value in -11, q, 3?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is 13.1 times -6?\nAnswer: -78.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -4*j**2. Let x(g) = 690*g. Calculate a(x(p)).\nAnswer: -1904400*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 1 = 0, d + 4 = -3*s + 4*s. Suppose 0 = s*p - 4 - 5. Let l be ((-4)\/3)\/((-32)\/48). Solve -p*a = l*a + 5 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 21\/8 of a gram?\nAnswer: 2625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*o + 15 = -41. Let w = 11 - -3. Calculate the greatest common factor of w and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 826800706 to the nearest integer?\nAnswer: 939","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.5 and -829.\nAnswer: -414.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l - 32 = -l. Let a = -9 + l. List the prime factors of a.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (21\/(-168))\/((-1)\/8*2).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = -8*j + 8. Let i(v) = -7*v + 7. Let w(q) = 6*i(q) - 5*r(q). Let k be w(-2). Solve d = -d - k for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 divided by -9.\nAnswer: -19\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -5 and 339.\nAnswer: -1695","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 1746 and 6094122?\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = -11887*h - 986612. What is m(-83)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -15 divided by 62\nAnswer: -15\/62","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67771.46m to centimeters.\nAnswer: 6777146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37756, 150941, 339556, 603595, 943052?\nAnswer: 1357921","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort 661, 4, -8, 6, -10 in decreasing order.\nAnswer: 661, 6, 4, -8, -10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(i) = -15437*i. Let p(x) = 73*x. Determine p(o(r)).\nAnswer: -1126901*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -21 + -2*((-968)\/176 - 2\/(-2)).\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 16111 (base 7) to base 15\nAnswer: 1511","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 448624011?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = -g**2 - 19*g + 2. Let d be (-1)\/(6\/87)*2. Let v = d + 16. Let x be w(v). What is the highest common divisor of x and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 119.11 + -134.11105. Let q = j - -15. What is q rounded to four dps?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10*r - 96858 = 116342. What are the prime factors of r?\nAnswer: 2, 5, 13, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6 divided by 54126?\nAnswer: 1\/9021","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is -2210100220 (base 3) in base 11?\nAnswer: -38308","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -41 divided by -1248\nAnswer: 41\/1248","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - r - 52 = 0, 4*r = 5*r + 1. Calculate the greatest common factor of v and 119.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 37922, 75847, 113772, 151697, 189622, 227547?\nAnswer: 265472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l(a) = a**3 - a**2 + 2*a - 6. What are the prime factors of l(5)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4.634585l to millilitres.\nAnswer: 4634.585","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -25170, -23776, -21808, -19272, -16174?\nAnswer: -12520","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.0126, -2\/7, 0, -0.06, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"} +{"text":"Question: Rearrange 972*g - 4 - 133*g - 239*g + 292*g to the form z*g + l and give z.\nAnswer: 892","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + sqrt(2057) + -1 + sqrt(2057) - (sqrt(2057) - (sqrt(2057) + 0 - sqrt(2057)))*1)**2.\nAnswer: -44*sqrt(17) + 2061","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43 a factor of ((-35)\/(-15) + 7444\/(-3))\/(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1202911495*0.5\nAnswer: -601455747.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 49\/30 and (-1)\/(-2) + (10 - (-58)\/(-9)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0*k**3 + 6*k**3 + 3*k**3 - 26*k**3 - 2*k**3.\nAnswer: -19*k**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 542150 - -6?\nAnswer: 542156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 51 minutes after 10:52 PM?\nAnswer: 11:43 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 3418 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7004131 is divided by 188?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*q**5 - 436*q**4 - 632*q**3 + 84*q**2 + 270*q = 0. Calculate q.\nAnswer: -1, 0, 3\/5, 45","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -0.05 - -3.55. Let m = j - -0.5. Sort 2\/7, 0, m in ascending order.\nAnswer: 0, 2\/7, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence ae when two letters picked without replacement from aaennnaaaetaaan?\nAnswer: 8\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-28)\/(-8)*10\/350)\/(9\/(-5))?\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 9 + -5. Let q(m) = -5*m**2 + 5 + 4*m + 6*m**3 - r*m. Let l(j) = -j**3 + j**2 - 1. Suppose -12 = -6*g - 0*g. Determine g*q(y) + 10*l(y).\nAnswer: 2*y**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 13649 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 10041?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 291\/485*(50\/24)\/5. Put -0.5, -8, d, 2, 2\/9 in decreasing order.\nAnswer: 2, d, 2\/9, -0.5, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((b*b**1)\/b)**(1\/42) assuming b is positive.\nAnswer: b**(1\/42)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c**4 - 313*c**3 + 24472*c**2 = 0. Calculate c.\nAnswer: 0, 152, 161","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Product of 26975 and 248.\nAnswer: 6689800","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 58576 (base 10) in base 7?\nAnswer: 332530","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((p**(-2)\/(p*p**(-2)))\/(p**1)**(6\/13))**(-1\/26) assuming p is positive.\nAnswer: p**(19\/338)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -51948 = 5*k - 9*k + 8512. Round k to the nearest one thousand.\nAnswer: 15000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1346 is divided by 381.\nAnswer: 203","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Convert 7a06 (base 12) to base 8.\nAnswer: 32346","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 24*m**3 + 2*m**2 - 68*m + 203. Is 19 a factor of z(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 28373 - 28301. Let f(k) = 8*k**2 - 2*k - 1. What is the smallest common multiple of f(2) and m?\nAnswer: 216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1907.\nAnswer: 1907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v*v*v**4)**(-20\/7)*(v**(3\/13)\/v)\/v**(-2\/15) assuming v is positive.\nAnswer: v**(-24268\/1365)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 42216?\nAnswer: 2, 3, 1759","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:40 PM and 9:14 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let u(z) = -25409277*z. Let c(l) = -l. Determine c(u(x)).\nAnswer: 25409277*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 127\/2592 and -93\/8.\nAnswer: 2592","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 800203371 and 121?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 13060 > 13060?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 16\/6*18\/8. Let w = -2 + 6. Suppose -x*o + w*o = -44. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 6387470?\nAnswer: 2, 5, 271, 2357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*q**2\/13 - 1306*q\/13 + 300.\nAnswer: 2*(q - 650)*(q - 3)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) be the second derivative of -x**5\/70 + x**4\/42 + 16*x**3\/21 + 20*x**2\/7 + 2235*x. Factor f(i).\nAnswer: -2*(i - 5)*(i + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-12)\/7*51\/34*-7. What is the highest common factor of 78 and i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -4 + 5. Let g be m\/(-3*(-1)\/9). Is g at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 8\/(-3*(-3)\/18). Suppose 0 = 2*j - 6, -i*w + 3*j - 10 = -15*w. Let m = 4 + -8. Sort w, -3, m, 3.\nAnswer: m, -3, w, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) be the first derivative of 4\/3*c**3 - 2 + 0*c - c**2 + 1\/4*c**4. List the prime factors of m(-4).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 - 1162836*s - 146469708 = 0.\nAnswer: -387486, -126","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 67927 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -31 (b) 6\/7 (c) -0.27 (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 286 is divided by 212?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = 7*i - 6. Let c(b) = -6*b + 5. Let y(h) = 6*c(h) + 5*g(h). Let j(m) = -2*m. Let d(q) = -4*j(q) + 7*y(q). Let l(u) = 13*u. Give d(l(w)).\nAnswer: 13*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*p + 4*h + 324, 0 = 6*p - 3*p - 4*h - 244. Calculate the lowest common multiple of 32 and p.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(l) = -l + 34. Let j be 49\/2 - 4\/(-8). Suppose 13 = 2*n - j. Let p be z(n). Calculate the greatest common divisor of p and 120.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: -46*10\/(-1725) - (124\/24 + -5)\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*-6*(1 + sqrt(245)*1)*5)**2.\nAnswer: 201600*sqrt(5) + 3542400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 1, d: 11, m: 2}. Give prob of sequence mdmj.\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (5 - 6) + 16 - 4. Suppose -13*t + w*t + 18 = 0. Suppose 0 = q - 12 - 15. What is the highest common divisor of t and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -509 or -514?\nAnswer: -509","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 10\/8 + (-900581)\/(-1364). Let -63\/2*n - s*n**2 - 3\/8 = 0. Calculate n.\nAnswer: -1\/42","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(57)\/sqrt(3) + -1)*1*-6.\nAnswer: -6*sqrt(19) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 227, 16, -4 in descending order.\nAnswer: 227, 16, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o**4\/4 + 10431*o**3\/4 + 73135*o**2\/4 - 720339*o\/4 + 610623\/2 = 0.\nAnswer: -13, 3, 10438","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2781?\nAnswer: 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n(a) = -a**2 - 12*a - 21. Let f(s) = -15*s - 19. Calculate the remainder when f(-3) is divided by n(-6).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (-75)\/10*8\/6. Let m = -22 - z. What is the units digit of m*(-2 + (-6)\/(-4))?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 73\/130 and -149\/30.\nAnswer: 390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from grrgrggqjjggpjpqq. What is prob of picking 2 g?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert -1280 (base 12) to base 6.\nAnswer: -13440","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: (0 - -3)\/((-6)\/8)\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 = 5*y + 24. Let n = -4 - y. Let w be (-1 - n)\/(0 - -2). Solve -5*a - 14 + 4 = w for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 20 - 22. Let u be (-4 + 5)*1 + m\/(-1). Find the common denominator of (u + -1)*(0 - 5\/100) and 41\/2.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*q - 12*q - 11*q = -26*q for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Find f, given that -4*f**2 - 30296*f - 57365476 = 0.\nAnswer: -3787","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.006231345663 to 4 decimal places.\nAnswer: 0.0062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 3*i - 2*c - 9, 3*c + 0*c + 5 = -4*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 a factor of 2633666?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let b(g) = -20*g + 252. Calculate b(7).\nAnswer: 112","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = 3990859*u. Let o(s) = 19*s**2. Determine l(o(b)).\nAnswer: 75826321*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1157904 by -4386.\nAnswer: 264","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1497.89 - -1498. Which is the closest to h? (a) 1\/3 (b) 0.1 (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 512529.\nAnswer: 3, 170843","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 2, l: 4, p: 2}. Give prob of picking 1 b, 2 l, and 1 p.\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 = 4*f + 19. What is the common denominator of ((-3)\/(-18)*4)\/((-52)\/1677) and (358\/f - 1)\/(-6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 21 - (-7 + 22 - -2)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4735*m**3 + 1143*m**3 + 4 - 3 - 4.\nAnswer: -3592*m**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -1322\/11 + 120. Let u(x) = -x**2 + 11*x - 9. Let k be u(8). Suppose -k*m + 16*m + 4 = 0. What is the smallest value in t, m, 0.5?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 20*k**2 - 26*k**2 - 49*k**2.\nAnswer: -55*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (1 + -1)*(-3)\/3. Suppose m = 4*g - 84 + 444. Let d = g + 133. What is the remainder when d is divided by 22?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = 73*k**2 + 800*k + 4846. What is the tens digit of u(-6)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 116 + -319. Let x = q - -411. What is x rounded to the nearest ten?\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.1 + 0. Let o = -113\/273 - -5\/39. Which is bigger: o or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1495 is divided by 44?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273514?\nAnswer: 2, 163, 839","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from fdozz. What is prob of sequence zf?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 2\/(-9) - ((-33)\/27 + 1). Let r be (1 - 0) + z + 7. Suppose 57 = r*q - 79. List the prime factors of q.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-2*o**2 + 2*o**2 - o**3)*(-4 - 1 + 3)*(9 - 13 + 3) as t*o + x + p*o**3 + w*o**2 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.11 - 12.89. Let p = -0.12 + 14.12. Let k = y + p. What is the closest to k in 4, -1\/2, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wwww when four letters picked without replacement from {w: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -604 times 2.41708\nAnswer: -1459.91632","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is (35\/(-1575)*9)\/(1\/(-70))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange ((-2 + 2 + 1)*(-3*c - c + 3*c) + 2*c - 2*c - 5*c)*(5 - 26 + 3) to the form j*c + w and give j.\nAnswer: 108","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = 13541*j - 95141. Give h(7).\nAnswer: -354","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = -b**3 + 6*b**2 + 24*b - 12. What is d(9)?\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + 5 + 1 + (-179 - -186)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 41*q - 336*q + 178*q + 58*q + 57*q + 326.\nAnswer: -2*q + 326","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) = -g + 6. Let l be r(4). Suppose 7*b - w + 24 = 3*b, l*b + 2*w + 2 = 0. Which is smaller: b or -6?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:02 AM and 12:18 PM?\nAnswer: 676","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 127 divide 59385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u(t) = -2*t + 28. Let y be u(10). Suppose y*v - 5*v - 9 = 0. Is 4 + -6 + (v - -88) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 51*i**2 + 9*i**2 - 22*i**2 in the form m + z*i**2 + y*i and give z.\nAnswer: 38","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 220 + -1978\/9. Which is the closest to m? (a) -0.3 (b) -0.1 (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -37\/2 or -1?\nAnswer: -37\/2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 302?\nAnswer: 2, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {k: 2, z: 1, b: 4, q: 4, a: 1, v: 2}. What is prob of picking 1 v and 1 q?\nAnswer: 8\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: (-10)\/(((-6)\/3)\/((-20)\/(-10)))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1609*l - 509*l**2 + 511*l**2 - 805*l - 804*l.\nAnswer: 2*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -7*r**3 - 4*r**2 - 2*r - 2. Let d(s) = 8*s**3 + 4*s**2 + 3*s + 3. What is -3*c(a) - 2*d(a)?\nAnswer: 5*a**3 + 4*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve 9137*v - 9163*v - 104 = 0 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 > -205\/23036?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 1 + -2 + 14\/18. Let r(o) be the first derivative of -61*o**2\/2 - 247*o - 199. Let h be r(-4). Which is the smallest value? (a) -1\/3 (b) x (c) h\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 16 + -10. Let v(h) = -1 + 318*h + 320*h + 299*h - 938*h. Let t(z) = -9*z - 5. Give c*v(y) - t(y).\nAnswer: 3*y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5.3 - 5. Let g = -4.94 - 0.06. Which is the nearest to -0.3? (a) g (b) -0.4 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -5275*u**2 - 4*u - 1163 wrt u?\nAnswer: -10550","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Expand (15 + 2*z**3 - 17 + 29)*(-3*z**2 + 5*z**2 - 3*z**2) + 1133*z**2 - 16*z**5 - 226*z**5 - 1133*z**2.\nAnswer: -244*z**5 - 27*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26 - 438488?\nAnswer: -438462","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let c(a) be the first derivative of -a**8\/1848 + a**6\/220 - a**5\/165 + 3*a**2 - 1. Let l(k) be the second derivative of c(k). Factor l(n).\nAnswer: -2*n**2*(n - 1)**2*(n + 2)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(q) = -3*q - 5. Let w be j(-5). Let f = w - -22. Suppose s + 4*d - 6 = 14, -5*d + f = 3*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: ((-3200)\/20)\/(-16)*(-2)\/(-5)\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d**25*d*d**16*d)**(-32) assuming d is positive.\nAnswer: d**(-1376)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (14\/(-6))\/((-15)\/(-720)*16)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 149 - 149. Let z = -2 + -2. Which is the closest to k? (a) z (b) -5 (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 9bb + -9562?\nAnswer: -8763","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 174301 and 71771.\nAnswer: 1220107","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*x + 6*x - 5*x)*(1 - 1 + 2)*((2*x**2 + 0*x + 0*x)*(-5 + 0 + 4) - 4*x**2 + 2*x**2 - 5*x**2)*(1 - 1 + x**2).\nAnswer: -72*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -573503 + 5?\nAnswer: -573476","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 100 divided by -4.\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 236?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nwnwnwnnnwwww. What is prob of picking 1 n and 2 w?\nAnswer: 63\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 16965 divided by 15?\nAnswer: 1131","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*t = 5*h - 5*t - 6, 2*t + 4 = 4*h. Is h a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -210312.2 rounded to the nearest 100?\nAnswer: -210300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -99.64 - -115. Let v = w - 0.26. Let g = v + -7.8. What is g rounded to 0 dps?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(q) = q + 2. Let o(s) = -4*s - 6. Let d(k) = 5*n(k) - o(k). Let c(u) = -5*u - 8. Give 11*c(f) + 6*d(f).\nAnswer: -f + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 5, q: 11}. Give prob of picking 2 o.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 11362, 22717, 34072, 45427, 56782?\n\"Answer: 11355*l + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*c = -3*n - 2, -5*c = 5*n - 2*n - 8. Suppose t = 4*r - 3 + n, -5*t - 4*r + 62 = 0. Calculate the greatest common factor of t and 40.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 6.5? (a) -2 (b) -5 (c) 429 (d) -4 (e) 0.01\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 1665173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 485 minutes before 12:27 PM?\nAnswer: 4:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w\/w**(-31)*w*w**(-33) assuming w is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Round 2.150002488 to 4 decimal places.\nAnswer: 2.15","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -803*y**3 + 401*y**3 + 406*y**3.\nAnswer: 4*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {o: 1, k: 2, q: 2, c: 9}. Give prob of sequence kkqq.\nAnswer: 1\/6006","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 3*a, -4*a + 0 + 2 = -2*t. Suppose t*w - 4*o = 1326, w + o - 351 = 84. What are the prime factors of w?\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rq when two letters picked without replacement from {f: 2, q: 1, n: 2, v: 10, r: 1}.\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in -3, 1\/4, -0.08, 4?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence cmhf when four letters picked without replacement from {e: 1, c: 2, f: 7, h: 2, m: 1, d: 1}?\nAnswer: 1\/858","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 851?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 203 - 252. Suppose -89 = j - 0*j - 2*x, -4*x - 320 = 4*j. Let m = s - j. What is the greatest common divisor of m and 51?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -516, -779, -1224, -1857, -2684?\nAnswer: -3711","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose j = -3*q + 9947, -35*j = -30*j - 5*q - 49835. What is the hundreds digit of j?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(x) = -60*x**2 - 2. Let r(c) = -c**2. Determine v(r(u)).\nAnswer: -60*u**4 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 6.09, -3, 1\/4615, 6?\nAnswer: 1\/4615","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 88332 - 1597169\/18. Let z = 398 + v. Calculate the common denominator of z and 107\/10 + (2 - 1).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 834 and 3475?\nAnswer: 20850","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor -y**3\/2 + 23*y**2.\nAnswer: -y**2*(y - 46)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 4773*a - 241177 + 241177 to d*a + n and give n.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = -c**2 - 12*c - 33. Let f be h(-7). Factor 120 + 139*a**2 + 40*a - 143*a**f + 12*a.\nAnswer: -4*(a - 15)*(a + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 56437 by 6.\nAnswer: 56437\/6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of -5*j**4\/24 - j**3\/3 - 634*j**2. Let z(c) = -c**2 - c + 1. What is -q(t) - 2*z(t)?\nAnswer: 2*t**2 + 7*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 10 + 1913*t - 1912*t - 10.\nAnswer: t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (40*w + 121 - 121)*(11*w - w + 2*w).\nAnswer: 480*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 4\/(((-70)\/(-7))\/20). Let w(t) be the third derivative of 0*t + 1\/120*t**6 + z*t**2 + 3\/8*t**4 + 2\/3*t**3 + 0 + 1\/10*t**5. Factor w(i).\nAnswer: (i + 1)**2*(i + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 98\/3*g - 6*g**3 + 2\/3*g**4 + 20 + 6*g**2.\nAnswer: 2*(g - 6)*(g - 5)*(g + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be -1 - (-60)\/((-4)\/(-2)). Let p = -8244 + 8447. Calculate the highest common factor of s and p.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-183)\/(-61)*3\/((-3)\/(-3))?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of -3278133, -3278118, -3278093, -3278058, -3278013, -3277958, -3277893?\n\"Answer: 5*l**2 - 3278138","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**5)**(-15)\/(m**(-1\/9)*m**21))**13 assuming m is positive.\nAnswer: m**(-11219\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let z(h) = -7*h + 9. Let p(u) = -7*u**3 - u. Let q be p(-1). Let j = q - 13. Let w(i) = -3*i + 4. What is j*w(c) + 2*z(c)?\nAnswer: c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*i + 3*x - 26, -4*i + 36 = -2*x. Suppose -6*l = -i*l - 10284. Let j = -1424 - l. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 25 = 5*i, 0 = -11*f + 7*f + 5*i + 63. Calculate the highest common factor of f and 88.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = 297*o - 1048. What are the prime factors of k(21)?\nAnswer: 5189","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 20.4605 kilograms in milligrams?\nAnswer: 20460500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 20bb7a2 - -1?\nAnswer: 20bb7a3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 3 + -3011?\nAnswer: -3008","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 64a02e (base 16) to base 10\nAnswer: 6594606","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -5, 16.9, -2, 0.3, 2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1491 - 504 = -57*o. Calculate the lowest common multiple of 35 and o.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/2, 2\/9, -0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iiit when four letters picked without replacement from {i: 4, t: 7}.\nAnswer: 7\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 18 and 112?\nAnswer: 1008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 244 minutes after 1:20 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -676\/3 + 776\/3*m**2 - 572\/3*m + 4\/3*m**5 + 568\/3*m**3 - 100\/3*m**4 = 0. What is m?\nAnswer: -1, 1, 13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -25697*c*n*o**2 + 34*c*n*o + 3*c*n - 35*c*o**2 + 116*c*o + 12*n + o wrt o.\nAnswer: -51394*c*n - 70*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -16 + 22. Suppose r + 58 = 3*w, 2*w - z*w + 4*r = -88. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 64 - -a89?\nAnswer: 1042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 = 2*g - 4*g. Suppose g*x = -b + 35, 3*b - 2*b - 25 = -3*x. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 8224834?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.07, 0.22, -1\/9, -4\/7, -342 in decreasing order.\nAnswer: 0.22, 0.07, -1\/9, -4\/7, -342","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*(-1 + sqrt(85)\/(3*sqrt(5))) - (4*(sqrt(2448) - (sqrt(2448) + 0 + 0)))**2.\nAnswer: -2 + 2*sqrt(17)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = -2*y. Let g be u(4). Let c = -3 - g. Let k(h) = -c*h**2 + 4*h**2 + 2*h**2. Let x(v) = v. Calculate x(k(m)).\nAnswer: m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-24)\/(-60) - 55\/75.\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1200336?\nAnswer: 2, 3, 17, 1471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 907339 is divided by 30244?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -33 - -38. Let h = -6 - -5.7. Which is the second biggest value? (a) g (b) -1\/16 (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -55*y = -98 + 318. Sort -3, y, 1, 7, -18 in decreasing order.\nAnswer: 7, 1, -3, y, -18","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (c**(1\/7)\/c)\/((c\/(c**0\/c))\/c)*(c\/(c*c**(-3\/2)))**(-8\/13) assuming c is positive.\nAnswer: c**(-253\/91)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 4\/5, 2\/9, 1\/7, -0.4.\nAnswer: -3, -0.4, 1\/7, 2\/9, 4\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4738 - 1535 + 223)*(2*m + m - 4*m).\nAnswer: 6050*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) be the first derivative of 3*a**3 + 7*a**2\/2 - 11*a + 4. Let s(z) = -4*z**2 - 3*z + 5. What is 3*h(t) + 7*s(t)?\nAnswer: -t**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) be the first derivative of z**3\/3 - 5*z**2\/2 + 1066*z - 316. Differentiate s(i) with respect to i.\nAnswer: 2*i - 5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*w**2 - w**2 - 3*w**2)*(2*w - 3*w - w + 2 - 2 - w + (-w + w + 2*w)*(3 - 2 - 3) - 1 + 1 - w - w + 5*w - 3*w - 4 - 3*w + 1 + 5*w).\nAnswer: 10*w**3 + 6*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 64059 to the nearest integer?\nAnswer: 253","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 5, 0.0497, 603\/5, -0.1, 1?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -2462789\/5 + 492559. Factor -32\/5*z**2 + 28\/5 + m*z**3 - 74\/5*z.\nAnswer: 2*(z - 7)*(z + 2)*(3*z - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 736042 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*g - 9*v + 15, 2*g - 132 = 4*v - 122 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*w + 6*w + 30. Let x = 109 + w. Let r = -1747 - -1771. Calculate the remainder when x is divided by r.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 6049.644 weeks to milliseconds.\nAnswer: 3658824691200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) be the third derivative of z**5\/60 + z**4\/24 + z**3\/6 + 8*z**2. Give y(-2).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14070389 to the power of 1\/2, to the nearest integer?\nAnswer: 3751","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*q + 10 = 2*q - x, -4*q - 2*x + 4 = 0. Let o(g) = 21 - 21 - q*g. Let p(y) = 10*y**2. Give o(p(c)).\nAnswer: -20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.651320811 + -0.031\nAnswer: -0.682320811","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (3\/(-12))\/(2 - 34\/16). Let k be 2\/(3\/2 + (1 - f)). Suppose -4*c - v = 26, v - 10 = k*c - 2*c. Let n(d) = d**2 + 4*d - 3. Calculate n(c).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 10995569 and 70590?\nAnswer: 2353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -37\/400 and -37\/282466800.\nAnswer: 282466800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let l(i) = -2*i - 14. Let y be (36\/24)\/((-1)\/6). Let a be l(y). What is the first derivative of 22*d**4 - 8 + 22*d**4 - 36*d**a wrt d?\nAnswer: 32*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 242973096*r + 484723790?\nAnswer: 242973096","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2 + ((sqrt(17)*-1)**2 + 4 - (0 + sqrt(17))**2*1) + ((sqrt(136) - (sqrt(136)*1 - sqrt(136) - sqrt(136))) + sqrt(136))\/sqrt(8)*1*6.\nAnswer: 6 + 18*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8674 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence wlhl when four letters picked without replacement from {w: 3, l: 3, h: 2}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v = -3*v - 1. Let d = 19 - 15. Let i = d + v. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 (base 7) to base 6\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((k*k**(-38))\/k)\/k*k*k**12\/k)**(1\/49) assuming k is positive.\nAnswer: k**(-27\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -9824659*h**2. Let j(g) = g. Calculate b(j(c)).\nAnswer: -9824659*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-14\/5))**(17\/6) assuming a is positive.\nAnswer: a**(-119\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 1869.198 millilitres?\nAnswer: 1.869198","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1929, 8, -14, -2, 5, -7 in ascending order.\nAnswer: -1929, -14, -7, -2, 5, 8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 7 + 6 + -8 - 11?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r(a) = -a**3 - 5*a**2 - 5*a - 5. Suppose 0 = 2*p + g + 46, 0 = -p + 2*p + 2*g + 20. Let n = p - -20. Determine r(n).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -55 - -53. Sort p, -1\/9, 2\/5, 0 in decreasing order.\nAnswer: 2\/5, 0, -1\/9, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1 - 0. Which is the nearest to z? (a) -0.4 (b) 1 (c) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 69\/20 and -125\/156?\nAnswer: 780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 348 a factor of 36214361?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let z be ((-4)\/(-10))\/((-3)\/(-60)). Let s be (6\/9)\/(2\/9). Let h = -2 + s. Solve -3*d = h + z for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(h) = -96*h**3 - 36*h**2 - 138*h + 38. What are the prime factors of k(-7)?\nAnswer: 2, 4021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*h**4 + 600720*h**3 + 5406081*h**2 - 31236036*h = 0 for h.\nAnswer: -200231, -13, 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -2662.194 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify w*w**(-2\/37)*w\/(w*w**(-22)\/w)*w*(w\/w**(1\/7))\/(w*w**16) assuming w is positive.\nAnswer: w**(2280\/259)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let n(s) = -3*s**2 + 3*s - 42. Let c(x) = -x**3 - 2*x**2 + 2*x - 41. Calculate 3*c(y) - 2*n(y).\nAnswer: -3*y**3 - 39","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 24*i + 21 - 69. Solve i*x + 8 - 4 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (4*3\/873)\/(-2). Which is the fourth biggest value? (a) 2\/5 (b) 5 (c) o (d) -1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1464 = 2*s + 1478. Let q(z) = z + 1. Let m(r) = -5*r + 2. Let f(w) = m(w) + 3*q(w). Give f(s).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -405 and 533.\nAnswer: -215865","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (25661\/(-7698300))\/(((-9)\/48)\/3)?\nAnswer: 4\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 592 minutes before 5:36 AM?\nAnswer: 7:44 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*v + 10 = 31 for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*z + 3*w, -4*z - 2 - 2 = 5*w. Let n(m) = -15*m + 142. Let j be n(9). Solve -z*h + 12 = -j*h for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -e873 (base 16) to base 10.\nAnswer: -59507","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -205*b + 236*b = 403. What is the greatest common divisor of 6331 and b?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - 1 - 1 - -2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = 295*l + 576. What is the thousands digit of u(7)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*t - 9*t = -82. What is the units digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -246642, -490036, -733432, -976830, -1220230?\n\"Answer: -u**2 - 243391*u - 3250","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 23\/((-2415)\/(-36))*(-6480)\/(-972)?\nAnswer: 16\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4714567 is divided by 120.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Add together 656145.3 and 8648.\nAnswer: 664793.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*p - 40*m + 8 + 2 = -37*m + 2, m = -3*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 3 - 4*(-4)\/8. Let t = -4.8 - -0.8. What is the second smallest value in k, t, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6267 + 8327.5. Let r = v - 2060. Let g = 57.77 + -58. What is the third biggest value in r, g, 0?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: 34 times 77.37\nAnswer: 2630.58","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is (1644\/9 + -2)*9\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -832 - -1568. What is the greatest common factor of i and 46?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -1243*b**3 + 2*b - 1253*b**3 - 2*b + 2487*b**3.\nAnswer: -9*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3898*l**2 - 542*l**2 + 996*l**2.\nAnswer: 4352*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = 7*q**2 + q. Let v(z) = 2*z. Determine v(s(p)).\nAnswer: 14*p**2 + 2*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = v. Let w(p) = -8*p + 6. Let o(t) = 6*u(t) + w(t). Calculate o(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 5, 17, 1425, -5 in descending order.\nAnswer: 1425, 17, 5, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 888*w. Let b(z) = -2*z. Calculate v(b(n)).\nAnswer: -1776*n","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = -3*z - 5*t, 3*t + 23 = 2*z - 0*z. Let l = -5 + z. What are the prime factors of (2 - l)*1 + 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2, 1\/3, 18, 2\/5?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -0.009 - 0.291. Let l = -5 - -5.3. Which is the third biggest value? (a) -1 (b) z (c) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -34 + (7 + -9 - 33) + 36.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 467160850?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oava when four letters picked without replacement from povpmoavappopeapmo.\nAnswer: 1\/1530","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9073.\nAnswer: 43, 211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -22, 418, 1648, 4076, 8110, 14158?\nAnswer: 22628","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 4 (b) 1\/2 (c) 22.4 (d) 0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -9 - -5. Let p be (-1)\/((8\/(-76))\/2). Let d = p + o. Is 11 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -77 - -76 - (-90)\/(-12)*4\/(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*d**4 - 4481*d**3 + 3*d**2 + 27 + 4481*d**3 + (-3*d - 2*d + 4*d)*(0*d + 0*d + d**3) + 2*d**4 + 2*d**4 - 2*d**4.\nAnswer: -3*d**4 + 3*d**2 + 27","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 444.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 12\/7663 or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) = -8*s + 18*s + 2*s**2 - 11*s - 1. Let k(w) = 4*w**3 + 13*w**2 + 3*w - 1. Let p be k(-3). Give q(p).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 155571*v - 155571*v - 12*v**2.\nAnswer: -12*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -w**3 - 22*w**2 + w - 42. Let r be d(-16). Let z = -851 - r. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, 51497, -1.\nAnswer: -1, 2, 51497","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(n) = n**2 - 8*n + 3. Suppose 33*g - 20*g = 39. Let h be g\/4 - 35\/(-56)*10. Calculate s(h).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -0.004, -5, 2, -47, -0.097?\nAnswer: -0.004","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -3*i + 94. What is the remainder when 127 is divided by i?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 26\/7 and -30\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j + 5*z = -39, 5*z + 41 = -3*j + 178. Let l = 111 - j. What is the tens digit of l?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -126 + 26. Let w = l + 128. What is the biggest value in w, -2\/13, -3\/7, -3?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - i = -5, f - 4*i - 2 = -7. Let w(m) = 4*m**2 + m - 1. Let t be w(-2). Let a = -6 + t. Solve b = 5*l - b - a, -f = -l + 2*b for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cwvv when four letters picked without replacement from {w: 6, v: 2, c: 5}.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -2 + 2 + 1 - -1\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -197 + 282. Is 7 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -1*(-3)\/(-45)*-2*1?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j(o) = o**2 + o + 3. Let t = 7 - 3. Is j(t) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 86232500 a multiple of 68?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.003638 rounded to 4 dps?\nAnswer: -0.0036","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -72, -980, -3554, -8628, -17036, -29612?\nAnswer: -47190","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7*f - 145 = -649. What is the highest common factor of f and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 2\/21, 5, -0.4, -1, 1\/3, -2\/13, -1.77?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 719 minutes before 11:08 PM?\nAnswer: 11:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Express (57*j - 52*j - 45*j)*(2*j - 2*j + 3*j**3 + (1 - j - 1)*(4*j**2 - j + j)) as g*j + h*j**3 + s + n*j**4 + l*j**2 and give n.\nAnswer: 40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 11, -6, -4\/3, 0.076?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 58 divided by -5\nAnswer: -58\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j + 5 = -11, 5*j - 1 = h. Let v be ((-2)\/(-4))\/(h\/(-840)). Let r be (-30)\/(-24) - (-15)\/v. Solve -6 = 4*c + 4*t + 14, -2*c + r*t - 10 = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -149? (a) 2\/19 (b) -0.1 (c) -150417\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -j = 4*m + 5, -m + 5*m = 3*j - 1. What is the units digit of ((-10)\/(3 + -1))\/m?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 6\/4*(-4522)\/(-399). Suppose r*i - 611 = 69. Solve -i*w = -46*w - 6 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*k - 13*k + 50 = 0. Suppose -w + j = -5*w + 5, -k*j = 5*w + 5. Let l = -7.8 - -6.8. What is the second smallest value in 5, w, l?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -74 - -289\/4. Which is smaller: -1 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(28) - (sqrt(28) + 4*sqrt(28)))**2*2 + (sqrt(175)*2*-3)**2.\nAnswer: 7196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-10)\/(-120)*40*138\/(-115).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (0\/(-4))\/(1 - 2). Let i(c) = c**3 - 16*c**2 + 18*c - 25. What is the least common multiple of i(15) and (-2366)\/(-130) + (z - 2\/10)?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-5)\/(-25) + (-9)\/(-5). Suppose -d*x - 4*n = -6*n - 24, -5*x + 110 = 5*n. Solve -5*h + 21 = -w, 3*h + 5 = x for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 9909 + -7431. Calculate the highest common factor of 126 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 5846209066?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2416037968 to the nearest integer?\nAnswer: 49153","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (36\/(-108))\/((-3)\/10692).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 94045, 189068, 284091, 379114, 474137?\nAnswer: 569160","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bcvvc. Give prob of picking 1 b and 2 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l(n) = -5*n + 4. Let b = 18 - 21. Let h be (2 + 2 - 0) + b. Let j = 2 + h. Determine l(j).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = 22 - 10. What is k in -7*k**2 - 2 + 5 + 9*k**2 - k**2 - q*k = 0?\nAnswer: 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(33) + sqrt(1617) + (sqrt(1617) + sqrt(1617) + sqrt(1617)*-2 - sqrt(1617)) + sqrt(1617))\/sqrt(3).\nAnswer: 8*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + 17 = -a, 2*w + w = 4*a + 3. Let g = 5 + -13. Let o = g + 5. Sort w, o, 0.2 in ascending order.\nAnswer: o, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(q) be the second derivative of -q**5\/4 - q**4\/6 + 5*q**3\/6 + q**2 - 6*q. Solve o(m) = 0 for m.\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.4, -1.3, 1, -4.\nAnswer: -4, -1.3, -0.4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1\/3 in 2\/5, 371, 4?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -2.515 - -0.485. Let o = y - -0.03. Suppose 4*i + 4*x = 2*x - 10, -5*x = -2*i - 23. Which is the smallest value? (a) i (b) o (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0 < 492\/8461?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (-1)\/5 + 0 - 2\/(-10). Suppose -5*d + 17 + 8 = h. Solve 2*j - 20 = 4*g, 2*j + 2*j = -d*g - 12 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1925 - -7354.768\nAnswer: 9279.768","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l be -7 + 0*3\/(-6). Let w = l + 3. Let k(f) = -f**3 - 3*f**2 + 4*f + 4. What is the units digit of k(w)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 15*u**3 - 259 - 6*u**3 + 259.\nAnswer: 9*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let k(o) = -550*o + 15080. Give k(21).\nAnswer: 3530","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = -4*x + 2*n + 2*n, 0 = -2*n + 10. Let d = 12 + x. Solve 4 = -m + d*m for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + 1 - (-9 - (-6 - 0)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is one quarter of a micrometer in nanometers?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((x\/(x*x**(2\/5)*x))**(-40))**(18\/11))**50 assuming x is positive.\nAnswer: x**(50400\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/108*-6*(-8)\/(-14).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0 (base 11) to base 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 6448 and 5828.\nAnswer: 124","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -5 - -6a?\nAnswer: 65","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -885 = -2*z - 297. Calculate the highest common factor of 6 and z.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -1530066 - 86.11801.\nAnswer: -1530152.11801","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (71\/(-3) - 3)*(-72)\/10. What is the highest common divisor of 6 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 405101?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*b**3 + 802*b**2 - 18800*b.\nAnswer: -2*b*(b - 376)*(b - 25)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) be the first derivative of 2*j**3\/3 + j**2\/2 + 2*j + 2. Is s(2) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -18 - -20. Suppose 116 = 6*f - r*f. Suppose 0 = 2*s + f - 105. List the prime factors of s.\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 75*s**2 - 21*s**2 - 23*s**2 - 22*s**2 - 15*s**2 + 4*s.\nAnswer: -6*s**2 + 4*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = -5*d + 5. Let w be n(0). Suppose -2*z + 14 = w*k, k = 3*z - 1 - 3. Solve -3*r - 2*c = 13, k*r = -3*c - 6 - 1 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + -6 + (15 - 4).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 + -4. Suppose -a + 1415 = -5*t + 346, 0 = 4*t - 2*a + 860. Let k = t + 1919\/9. Is h at least as big as k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be ((-8)\/(-10))\/(1\/5). Suppose 2*h = 3*j + 8, o*j + 4 = -h + 30. Solve -6*z + 5 = -4*b - 3*z, 5*z = 5*b + h for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0 + 4*d**4 + 0 + (6*d**3 - 3*d**3 - d**3)*(-4*d - 4 + 4).\nAnswer: -4*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 4a32 + 26?\nAnswer: 4a58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -u = 2*k + 19, -4*u - 44 = 5*k + 17. Let t = u - -13. What is the units digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) -16\/9 (b) 1\/21 (c) 0 (d) -1 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 967819 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) = -5*f**2 - f - 3. Let a(x) be the second derivative of 3*x**4\/4 + x**3\/3 + 5*x**2\/2 + 32*x. What is -3*a(k) - 5*y(k)?\nAnswer: -2*k**2 - k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -701*w**6 - 344964*w**3 - 529627840*w**2 wrt w?\nAnswer: -84120*w**3 - 2069784","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(c) = -c**2 - 8*c + 4. Let x be b(-5). Let f(v) = v**3 - 19*v**2 + 2*v + 22. Let j be f(x). Suppose 4*k - j = 140. Is k a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -225 + 933?\nAnswer: 709","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 3a533 + -4?\nAnswer: 3a52a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -842 (b) -0.4 (c) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 46*i**4 + 14*i**3*l - 16*i*l + i - 83 wrt i.\nAnswer: 552*i**2 + 84*i*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2*(-25)\/((-200)\/(-16)). What is the fifth biggest value in -1\/5, -3, r, -5\/3, 1.377?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -7 + 4 - -9 - 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 25 - 24.9. Suppose 0*v + 3 = -3*v. Let w be v - -1 - (-5 - -6). What is the nearest to p in -2, -0.3, w?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 508 - 509. Let u = 26.1 + -26. Which is the nearest to -10? (a) u (b) t (c) -0.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = c**2 - 2*c - 16. Let k be a(5). Let w = k + 6. What is the second derivative of 10*l + 9*l**3 - 9*l**3 - 11*l**w + 10*l**5 wrt l?\nAnswer: -20*l**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -6184946.8 to the nearest 100000.\nAnswer: -6200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from cnncnncccncnnncccn. Give prob of picking 2 c and 2 n.\nAnswer: 36\/85","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.6002 and 0.0456924628.\nAnswer: 0.6458924628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = -185341*s. Let w(a) = -2105*a. Give w(j(r)).\nAnswer: 390142805*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -36 - -38. Suppose 0 = -4*p + 2*j + 166, -3*p = d*p - 5*j - 210. List the prime factors of p.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) be the third derivative of 1\/10*u**6 + 0*u + u**2 + 3\/2*u**4 + 17\/15*u**5 - 8 - 10\/3*u**3. Factor p(r).\nAnswer: 4*(r + 1)*(r + 5)*(3*r - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -25 - -27. Solve v*a = -2*r + 6, 3*a + 8*r - 7 = 3*r for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1.12 in -0.04, -0.4, -4, -2\/13, 6.3, 0.1?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let s(t) = 1 + 3 - 2 - 1 - 233*t. Suppose -2*a = -2*b - 22, -3*b - 4*a + 7 = a. Is s(b) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2709 - 4*c**2 - 11*c**3 - 4*c**2 + 2707 as a*c + x*c**3 + n*c**2 + q and give n.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 290030881 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuru when four letters picked without replacement from {r: 3, u: 12}.\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 0 - (-2 - 1) - (2 + -3)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -350*v + 2396 - 2041 = -149*v - 5474 for v.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7\/15 of a century in months?\nAnswer: 560","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -11*x + 3. Give t(1).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 55219\/2660 - 6\/665. Calculate the common denominator of b and 83\/38.\nAnswer: 76","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 121604.\nAnswer: 2, 7, 43, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(j) be the third derivative of 0*j**3 + 1\/42*j**4 + 0 - 106*j**2 + 0*j + 0*j**5 - 1\/210*j**6. Solve q(d) = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 191916 is divided by 7107?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor s**2\/4 + 475*s\/2 + 225625\/4.\nAnswer: (s + 475)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Factor -q**2 - 3909*q + 15652.\nAnswer: -(q - 4)*(q + 3913)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 12673?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 234, -2, 0.2, -1?\nAnswer: 234","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 6016 + (124\/(-32) - (-12)\/(-96)). Calculate the highest common divisor of 108 and k.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*n + 220 = 5*n. Let v = n + 551. Is v a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (5 - 6 + 5 + 1 + 4 - 3 + (3 - 1 - 1)*(-3 - 2 + 6))*(-4*l + 0*l + 3*l)*(0 + 5 - 4).\nAnswer: -7*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {r: 1, a: 1, v: 3, l: 1, d: 2, s: 3}. Give prob of picking 1 s and 1 l.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*6*-5*((sqrt(128) - ((sqrt(128) - (sqrt(128) - (5 + sqrt(128)))) + sqrt(128)))**2*-6 + (5*(-4 + sqrt(128)))**2)*6.\nAnswer: -2896560 + 2246400*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 3, b: 2}. Give prob of sequence bdbd.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 19690383, 39380842, 59071313, 78761802, 98452315, 118142858?\n\"Answer: i**3 + 19690452*i - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh smallest value in 4, 80, -10, 6\/13, 1\/2, -3\/2, -590?\nAnswer: 80","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(684) - (-5 + sqrt(684)*1).\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 9789?\nAnswer: 3, 13, 251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) be the first derivative of 7*h**3\/3 - 8*h + 5. What is the first derivative of t(v) wrt v?\nAnswer: 14*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -20 + 323240014?\nAnswer: 323234444","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = -202*c**2 + 26*c - 13. Let l(k) = 101*k**2 - 12*k + 6. Determine -6*i(r) - 13*l(r).\nAnswer: -101*r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 55078?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6.15226 + 0.16.\nAnswer: 6.31226","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -121\/72 and -29\/66?\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -300*l**2 - 74 - 26*l + 16 + 43 + 21 wrt l?\nAnswer: -600","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 1096, 2194, 3308, 4444, 5608, 6806, 8044, 9328?\n\"Answer: o**3 + 2*o**2 + 1085*o + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*z + 47532 - 572244 = 0. Let a = z + -42142. Is a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (10 - 4 + 3)*(-q**4 - q**3 + 0*q**4 - q**4) + 2*q**4 - 4*q**4 - q**4.\nAnswer: -21*q**4 - 9*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 - 2 = 4*f. Let a be f*(-4 + (2 - -1)). Is a less than or equal to 4\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 0.1970541 millimeters?\nAnswer: 197.0541","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2859)\/(-27) - (-2)\/18. Let d = w + -101. Solve -n = -3*n + 4, 0 = d*y + 4*n - 8 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-47*n + 30*n + 36*n + 16*n)*(-4*n + 1 + 1 - 4) to the form v*n + y + f*n**2 and give v.\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.03? (a) 0.3 (b) -4 (c) -1\/8 (d) 0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 23 + 232. Let b = -253 + i. Let w(g) = g**2 - 4*g. Give w(b).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*u**2\/4 - 5673*u\/4 + 30899\/2.\nAnswer: (u - 11)*(5*u - 5618)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 93695 is divided by 4073.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) = z**3 - 13*z**2 + 23*z + 11. Let a be i(11). Let l(x) = 19*x - 43*x + a*x. Let w(k) = -k**2 - 5. What is w(l(s))?\nAnswer: -4*s**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-10)\/(-50))\/(298\/(-48)). Let f = -57173\/5960 + g. Let v = -96835\/12 - -8077. Calculate the common denominator of v and f.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m = -15, -14*x + 11*x + m = -239884. Is x a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = 557*h - 15043. Determine b(27).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 520 minutes after 1:51 PM?\nAnswer: 10:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 4*w + 4 = 0, -5*r - 5*w + 10*w = -40. What is the first derivative of -r - c + 1 + 2 - 3*c wrt c?\nAnswer: -4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-4 + sqrt(153)\/(sqrt(27)\/sqrt(3)) + (-2*sqrt(1088))**2 + -5)*5.\nAnswer: 15*sqrt(17) + 65145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*z**2\/11 + 1216*z\/11 + 6876450\/11.\nAnswer: -2*(z - 2183)*(z + 1575)\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -535 less than 0.5?\nAnswer: 535.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 579*l - 3061 - 2150 = 0. Solve 45 = l*i + 6*i for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10624188?\nAnswer: 2, 3, 593, 1493","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = z + 4. Let b(w) = -w**3 + 30*w**2 - 57*w + 35. Let x be b(28). Suppose 0 = -4*f + 2*q - 32, -4*f = -x*f + 3*q - 24. What is s(f)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 246 divided by -6.\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 55 or -128?\nAnswer: -128","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = -l**3 + 14*l**2 + 1245*l + 77. Determine a(43).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: (237\/(-553))\/((-3)\/49)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -4*s + 6. Let x be y(-6). Suppose -16*v + x = -19*v. Let c = v - -68. Calculate the least common multiple of 8 and c.\nAnswer: 232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 - 16. Let i be 837\/((-5625)\/1880 + m). Let c = i + -56904. What is c rounded to the nearest 10000?\nAnswer: 50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5\/6*f + 0 + 2\/3*f**2 + 1\/6*f**3.\nAnswer: f*(f - 1)*(f + 5)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 13491 is divided by 270?\nAnswer: 261","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(f) = -2*f - 21. Give a(-14).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(b) = -b**2 + 2*b - 4. Let m be h(0). Is (-3 - -5)*(1 + (-1162)\/m) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from zdzzwwwz. Give prob of sequence ww.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Round 17481700 to the nearest one hundred thousand.\nAnswer: 17500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*g = 5*w - 65, w - 1868 = 6*g - 1800. Factor -1\/6*u**w + 0*u + 1\/6.\nAnswer: -(u - 1)*(u + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -6 - -8. Suppose 6*q + 3 + 9 = 0. Sort q, g, 5\/3.\nAnswer: q, 5\/3, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 399 - 393 + 57*t + 172*t - 36*t + 53*t in the form z*t + d and give d.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p(t) = 207*t**3 - t**2 - 71*t + 73. Calculate the remainder when p(1) is divided by (4\/1)\/(6\/21).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 times 1.065559?\nAnswer: 3.196677","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7552681*q**2 + 3776343*q**2 + 3776338*q**2 - 2784*q**3.\nAnswer: -2784*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*t + 72 = 3*t. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: ((-14)\/21)\/((-4)\/6) - -10\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 5415 and 285?\nAnswer: 5415","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -121239\/25 - -4851. Find the common denominator of 48\/305 and t.\nAnswer: 1525","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:08 PM and 10:53 PM?\nAnswer: 405","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 48317 (base 12) in base 3?\nAnswer: 11221100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is six fifths of a week in minutes?\nAnswer: 12096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -28 - 0?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 520 and 3224.\nAnswer: 104","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 33 + 42. Suppose -2*f = -17*f + i. Let u(m) = m**2 - 6*m + 7. Let s be u(f). Let v(z) = -2*z - 2. What is v(s)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 2\/43417 + 1519589\/130251. What is v in -s*v + 5\/3*v**3 + 0*v**2 - 10 = 0?\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1478?\nAnswer: 2, 739","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 153.87114 hours in days?\nAnswer: 6.4112975","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -707, -912, -1157, -1436, -1743, -2072, -2417?\nAnswer: -2772","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -70, -14, -29, 2, -149, 1 in ascending order.\nAnswer: -149, -70, -29, -14, -1, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00000641347 rounded to five decimal places?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0.1 in 1\/10, -2.6, -10?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -5 + (2 - -1) + 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 426*i - 17641 = 111*i - 2521 for i.\nAnswer: 48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -9 + 14. Suppose 0 = -4*q - 5*r + 50, -2*q + 12*r - 11*r = -60. Solve 0*c + h*c + q = 0 for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 317 rounded to the nearest 100?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -38 + 104. What is the highest common divisor of 33 and r?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 0.1, 0.44, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*v = -0*c - c - 8, -v + 5 = 2*c. Which is smaller: -6 or v?\nAnswer: -6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 4 + -6. Let i = -2 + j. Let z = i + 3. Let n(c) = -2*c**3 + c**2 + c. What is n(z)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) be the second derivative of f**3 - f**2\/2 + 8*f. Let i be w(-2). What are the prime factors of 2\/i - (-3596)\/52?\nAnswer: 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) be the second derivative of -122*v**6\/15 + v**3\/2 - 500*v**2 + 2970*v. Find the second derivative of h(j) wrt j.\nAnswer: -2928*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 62 - 48. Suppose t*z - 357 - 819 = 0. Is 4\/(-14) + 108\/z - -42 a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.8, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = -4100000*x**2 - x - 1. Suppose 0 = 3*f, -2*f - f - 1 = h. Let q be j(h). Round q to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) be the first derivative of 51*t + 0*t**2 + 49\/4*t**4 - 118 + 2\/3*t**3. What is the third derivative of a(n) wrt n?\nAnswer: 294","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 176 + -158. Let h be ((-1)\/2)\/(-19 + k). What is the closest to h in -2\/19, 5, -3?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -2184, -3982, -5736, -7446, -9112, -10734, -12312?\n\"Answer: 22*z**2 - 1864*z - 342","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:08 AM and 8:33 PM?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 4*a*x**5 + 3*a*x**3 + 21*a*x + 3*a + 2*x**6 - x**2 wrt x?\nAnswer: 240*a*x**2 + 18*a + 240*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 264711206?\nAnswer: 2, 641, 206483","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 210361 to the power of 1\/2, to the nearest integer?\nAnswer: 459","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/136*(2 + 15)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -209 + 35 = 3*m. Let r = m + 81. Is r a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -4\/3, -2\/7, -250\/233, -2, 2 in decreasing order.\nAnswer: 2, -2\/7, -250\/233, -4\/3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 893752 a multiple of 76?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_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: Let w(t) be the second derivative of 6*t**3 - 54*t**2 - 6*t - 2. Let y be w(3). Solve y = -5*p - h - 26, 0*p + p + 3 = 2*h for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 12\/10*25\/(-10). Let f(y) = -2*y**3 - 4*y**2 - 2*y + 2. List the prime factors of f(w).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -19\/497 and 23\/17050579.\nAnswer: 17050579","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in -851494, -2, -1\/2, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (15 - (-1434)\/(-96))\/((-2)\/(-4)) + 487\/8.\nAnswer: 61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5*a + 4*a - 8*a)*(3 - 11 + 8 - 14*a**4).\nAnswer: 126*a**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 524*r**5 - r**3 - 1108*r wrt r.\nAnswer: 10480*r**3 - 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 4\/(136\/(-153))*(-2)\/(-21). Which is the biggest value? (a) 0.11 (b) 0.1 (c) i\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-2*sqrt(13)*2*-4)**2.\nAnswer: 3328","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -695.4 rounded to the nearest one hundred?\nAnswer: -700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -2.15 + 1.8. Let c = k + 0.01. Let i = c + -0.06. Put i, -1\/4, -0.2 in descending order.\nAnswer: -0.2, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -143\/23700 and -61\/108?\nAnswer: 213300","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1270 - 2528 + 1326 - 3168 - 3522)*(-i + i - 2*i).\nAnswer: 13244*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = -7*p + 29. Let v be l(8). Let r = 27 + -67. Let n = v - r. Does 7 divide n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(u) = 3*u**2 + 2*u. Let i(x) = -13*x**2 - 9*x - 1. Let g = 1997 + -2006. Calculate g*n(c) - 2*i(c).\nAnswer: -c**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: (-60)\/(-9)*(-30)\/40\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-292)\/(-3)*(-13 - 87\/(-6)). Solve 20*b = 46 - j for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 213465 and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 138478427?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 10464 and 192?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-475)\/(-38))\/25*((-238)\/3)\/(1\/3).\nAnswer: -119","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2 - -6. Suppose 30 = 3*s - 2*w, 5*s - b*s - 14 = 2*w. What are the prime factors of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1 + (8 - 0) + -4.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 8185?\nAnswer: 5, 1637","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 2 - 2. Let t(o) = 9*o - 36. Let w be t(4). Is w at least as big as f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) be the third derivative of h**5\/60 - 15*h**2. Let g(x) = 7*x**2 + 2*x - 3. Give -5*f(i) + g(i).\nAnswer: 2*i**2 + 2*i - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let r(u) = 2*u - 3. Let g be r(3). Suppose -g*z - 3*j = -135, -5*z + 3*j = -0*j - 249. Calculate the highest common divisor of z and 96.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7 = -x, 12*x - j + 405 - 446 = -0*j for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Determine x so that -6*x**4\/11 + 518*x**3\/11 + 37142*x**2\/11 - 128862*x\/11 + 3528 = 0.\nAnswer: -49, 1\/3, 3, 132","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h - 44 = 2*q - 177, -4*q - h = -259. What is the remainder when q is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -8 + 11. What is the closest to 0 in d, 1\/3, -4?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 4*x - 257. Let c be j(62). Let y(f) = f**3 + 10*f**2 + 9*f - 31. Calculate y(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = -g**2 - 9*g - 14. Let x be k(-7). Suppose x = -5*o + 153 + 52. Calculate the remainder when o is divided by 22.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 9*g**5 - g**3 - 476297*g**2 - 2624*g - 451 wrt g?\nAnswer: 180*g**3 - 6*g - 952594","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 467.4565 kilometers in meters?\nAnswer: 467456.5","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -5*y**3 + 86*y**2 + 21*y - 38. Calculate the remainder when p(17) is divided by 157.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -117 + 114. Let b = 2.3 - 19.3. Let w = b - s. Put 5, w, 0.2 in descending order.\nAnswer: 5, 0.2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 4 (base 13) to base 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 149 - 146. Suppose -2*c - 2058 = -5*r, r = -r + h*c + 821. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -43, -410, -1411, -3364, -6587?\n\"Answer: -53*f**3 + f**2 + f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (9\/15)\/(4\/20). Suppose -x = -m*x. What is the closest to 1 in 1\/2, x, -1\/4?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:43 AM and 8:57 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 3, a: 6, p: 2, h: 1, c: 1}. What is prob of sequence ch?\nAnswer: 1\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 y and 1 f when three letters picked without replacement from bbfbbybffyfbbffbfb?\nAnswer: 7\/816","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -7 + 12 - 5 - f.\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 1008 - 69. Let c = -1515 - -2454. Solve -4*s**3 + d + 12*s**2 - 8*s - c = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -24*l - 34 = -5*u, -2*u - l + 1717 - 1714 = 0 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 2 + (14\/(-6) - -2). Let t = 1291\/3215 - 1\/643. Suppose -20*r = -25*r + 20. Which is the nearest to t? (a) -5 (b) r (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 5*z + 32 = 0. Let l(q) be the second derivative of -q**5\/20 - 2*q**4\/3 - 5*q**3\/6 - 3*q**2 - q. Let v be l(z). Solve -5*k + v = 14 for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 672 divide 142910208?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -228 divided by 76\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 12 - 7. Let u(m) = -3*m**2 + 9. Let c(p) = -4*p**2 - p + 12. Let a(f) = -2*c(f) + 3*u(f). Calculate a(v).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -1, 9, 135190, -2 in ascending order.\nAnswer: -2, -1, 9, 135190","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (136\/340)\/(1*6). Which is the nearest to 0.1? (a) -3\/5 (b) d (c) 8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-219*x + 251*x - 179*x)*(0*x - 3*x - 4*x)*(-2 - x + 2) to the form k*x**2 + d*x + j*x**3 + h and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 q and 1 r when four letters picked without replacement from {w: 3, r: 1, e: 8, t: 2, q: 1, s: 1}.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 65 - 24 = -2*m + j, 5*j = -4*m - 47. Let h be ((-54)\/(-1))\/((-2)\/(-8)). Let r be (-6)\/h + 4\/m. What is the closest to 0 in -2, -0.1, r?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*i**5 - 213*i**4 + 435*i**3 - 219*i**2.\nAnswer: -3*i**2*(i - 1)**2*(i + 73)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 8546992 to the nearest integer?\nAnswer: 2924","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_test"},"subset":"dm_maths"} +{"text":"Question: What is -10098.3 rounded to the nearest ten?\nAnswer: -10100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -253142 or -253148?\nAnswer: -253142","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -266 - -313. Calculate the remainder when 274 is divided by f.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3*l + 3*l - 5*l)*(2 + 1 - 4) + (-4 - 10 + 4)*(-l + 4*l + 0*l) + (-2 - 2 + 6)*(-2*l - 3*l + 2*l).\nAnswer: -37*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5.488722 + 0.032678. Round t to the nearest integer.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.03499 rounded to four decimal places?\nAnswer: 0.035","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 3 - 1c55?\nAnswer: -1c52","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = -q**3 + 12*q**2 + 2*q - 12. Let d be m(12). Suppose -4*x = -8*x + d. Let h(k) = 13 + 8*k**x - 4*k - 9*k**3 - 7 + 5*k**2 - 2*k. Give h(4).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 283*x**4 - 31*x**2 + x + 2318731 wrt x?\nAnswer: 1132*x**3 - 62*x + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -8926983 divided by 2975661.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -n**4\/3 + 12930*n**3 - 426569*n**2\/3.\nAnswer: -n**2*(n - 38779)*(n - 11)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-2)\/9 - (-33)\/270. Let m = 1 - 0.9. Sort m, -4\/3, i in increasing order.\nAnswer: -4\/3, i, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.282666 rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 20\/(-42) - (-6)\/(-9). Let g = 0.142 + 212.858. Let o = g + -213.2. Sort 4, o, j in decreasing order.\nAnswer: 4, o, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5723 - 5723.05561. Let q = 0.055 + s. Round q to four dps.\nAnswer: -0.0006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337760 is divided by 18.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3849549499?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 320 - 940\/282*(-18)\/(-5) is divided by 27?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 755 + -755. What is the biggest value in r, -0.1, 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -7647063.488384 and -0.01.\nAnswer: -7647063.498384","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 60 (b) -0.2 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(t) = -2*t**3 + 5*t**2 + 23*t + 148. Does 6 divide g(-10)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 4 in -594, -0.76, 0.2?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 135130 is divided by 3690.\nAnswer: 2290","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h - 15 = -3*h + 5*r, 5*h + 4*r = 29. Suppose -15 = -5*o + 5*w, -h*w = o - 16 - 5. Solve 3*g = 9 + o for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-w + w**5 + w + (-9*w**3 + 3*w**3 + 4*w**3)*(-2*w**2 - 3 + 3))*(3 - 2 + 1).\nAnswer: 10*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 32 is divided by 4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 39\/2 - 20. Let f = 453.11 - 455.11. What is the third biggest value in -0.4, o, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 11*z + 22*z = -14*z + 282 for z.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:56 AM and 4:18 PM?\nAnswer: 682","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21234*d**2 - 110041 + 110041.\nAnswer: -21234*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is (12 - 20) + (5 - 1)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*q - 5*j + 429 = -j, 335 = 4*q - 5*j. Suppose -51 - 6 = -3*g - 3*b, g - 25 = b. Calculate the remainder when q is divided by g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 429*r + 1180*r - 1815*r + 52 + 1207*r + 162 wrt r.\nAnswer: 1001","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -365 + 107?\nAnswer: -258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -36 or -0.9161?\nAnswer: -36","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 30817 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 260 or 356.949?\nAnswer: 260","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (0 + sqrt(2057) + sqrt(17) + (sqrt(85) + sqrt(85)*-2 + sqrt(85))\/sqrt(5) - ((sqrt(85)\/sqrt(5) + sqrt(17))*2 + sqrt(119)\/sqrt(63)))**2.\nAnswer: 8993\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 739212.6 millilitres in litres?\nAnswer: 739.2126","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (8\/20)\/((-2)\/(-40)). Suppose -5*d - 16 = -d. Let l = q + d. What are the prime factors of l?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 334 is divided by 46.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is (123\/15 + -8)*3?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -206 * 0.4.\nAnswer: -82.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 4 - 5. Let r be (0 + i)*(-3)\/(-3). Which is the biggest value? (a) r (b) 2 (c) -5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 243 + -81. What are the prime factors of r?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 40 and 2?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 8112449 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve -65*c + 69*c = 4*v + 8, -2*v + 3*c - 8 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 15*w**5 + 770*w**4 - 2143*w.\nAnswer: 300*w**3 + 9240*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 25*w - 357. Calculate the lowest common multiple of o(18) and 15.\nAnswer: 465","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-16 - -12) + 15 - 3?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 51*t + 180 = 57*t. Let d = t + -44. Let h be (0 + 2)*d\/(-4). Solve 4*i + 5*p = -1 - 8, 4*i = -3*p - h for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 414 minutes after 9:56 PM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = 2*o + 4. Let r be w(-4). Let x(l) = -l - 3. Let b(f) = -1. Suppose 4*u - 60 = 9*u. Let a = u - -13. Give a*x(z) + r*b(z).\nAnswer: -z + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -495*n**2 - 1105*n - 26. Calculate p(-2).\nAnswer: 204","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 71665074?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: -0.1119 times -1.855\nAnswer: 0.2075745","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*l**4 + 42*l**3 + 8042*l**2 - 14128203*l wrt l?\nAnswer: -24*l**2 + 252*l + 16084","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let d be 21\/15 - 4\/10. Put -5, d, 5 in ascending order.\nAnswer: -5, d, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from visiipivsiivivipip. What is prob of picking 2 v?\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*k + 5 = -49*z + 44*z, 0 = -3*k - z - 1 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 15951169.\nAnswer: 13, 109, 11257","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = 3*o**2. Let h(i) = -3*i**2 + i. Let p be h(2). Let f(q) = 20*q**2 + 10*q - 10. Let a(g) = -g**2 - g + 1. Let v(w) = p*a(w) - f(w). Calculate x(v(s)).\nAnswer: 300*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 4*j - 112 = -88, 0 = -5*j + 20 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*s - 3*m + 276 = -7*m, 4*m - 138 = -s. Let j = s - 139. Let l be (-6)\/(90\/(-25))*j\/(-2). Which is the closest to 6? (a) l (b) 1\/11 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r - 3*x + 6 = 0, -4*r - x + 2*x = 2. Solve r*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 23 + 1 + 3 + (-21 - -15).\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*g - 101 = 1495*v - 1452*v, -4*v = -4*g + 28 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 201423 (base 7) in base 6?\nAnswer: 422110","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let o(h) = 4*h**3 + 5*h**2 - 2*h - 3. Let b(q) = -7*q**3 + 6*q + 3*q + 5 - 9*q**2 + 0*q - 6*q. Give 3*b(m) + 5*o(m).\nAnswer: -m**3 - 2*m**2 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 275508085 a multiple of 3861?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve -o = 8*j + 88, 25*j - 13*j - 14*j - 3*o + 5*o = -194 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 490 and 196.\nAnswer: 980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18*m + 149 = -211. Solve 5*a - a - m = 0 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 0.2, 1715, -7013, -3?\nAnswer: 1715","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: (-12*(-2)\/10)\/((-12)\/(-40))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(h) = 8*h**2. Suppose 3*r = -4*s - 14, 8 = s - 8*r + 3*r. Is 16 a factor of m(s)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.003493235 to 5 decimal places.\nAnswer: -0.00349","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort 45, -15772, 0.03 in decreasing order.\nAnswer: 45, 0.03, -15772","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 4483*d + 109*d**2 + 2*d**3 - 4483*d.\nAnswer: 2*d**3 + 109*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1050, -1727, -2404, -3081?\n\"Answer: -677*z - 373","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (18\/(-4))\/(-3)*274\/5343?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is -17299342 >= -17299341?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let f(d) = d**2 - d. Let z(r) = -r**3 - r**2 - 10*r + 4. Let h(n) = 4*f(n) - z(n). Calculate h(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Simplify (4 + -4 + -3*sqrt(1008) + -1 + sqrt(1008) + sqrt(1008)*-3 + -5)**2*-3.\nAnswer: -75708 - 2160*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*t + 3 = 2*t - 4*w, -5*t + 2*w = 59. Let l = t - -19. Is l not equal to 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(l) = -4*l - 13. Let t(x) = -x**3 + 5*x**2 + 7*x - 2. Let u be t(6). Let k be -11 + u\/(1 - -1). Is q(k) a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be -2 + 0 - -52*1. Let y = -35 + w. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:40 PM and 1:17 AM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let f(u) = -21*u**3 + u**2 + 11*u - 35. What is f(3)?\nAnswer: -560","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*w - 189 = 2*w + x, w - 33 = 5*x. What is the tens digit of w?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -883018*a**3 + 670472*a**2?\nAnswer: -5298108","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -1 in 2\/3, -1\/17, -125325?\nAnswer: -1\/17","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/(((-9)\/(-2))\/(-9))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 6 + -11. Suppose -5*v + 29 = d, 4*d - 2*v - 6 = -0*v. Let w be 4 - d - 0 - 3. Is w > k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*p = -s - 9, -1202*p + 7*s - 85 = -1261*p + 2*s + 77 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(q) = -21*q + 9. Let r be x(-7). Let g = 449 + r. Suppose 0*o = -5*o + g. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -4217 - -84401\/20. Let a be 2\/((-8)\/(-30))*638\/(-33). Let y = 575\/4 + a. Calculate the common denominator of p and y.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:16 PM and 7:48 PM?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 11 - 0. Calculate the remainder when 28 is divided by (l + 1)\/(-2)*-1.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.13, 4, 1, -1\/2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -614 + 6748\/11. Let t = -11202 - -11202.3. What is the nearest to -0.1 in -2\/7, t, q?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 1476988, 1476987, 1476984, 1476979, 1476972, 1476963?\n\"Answer: -k**2 + 2*k + 1476987","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of 995, 989, 981, 971, 959?\n\"Answer: -n**2 - 3*n + 999","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9\/(-3*77\/22).\nAnswer: -6\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u*u**(-1\/3)\/u*u)**34\/(u**(-3\/2)\/(u**(-2)\/u)))\/((u\/(u*u**(-5)))\/u**(-2\/9))**45 assuming u is positive.\nAnswer: u**(-1079\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 171 and 3534.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(j) = -j**3 - 4*j**2 + 7*j - 1. What is x(5)?\nAnswer: -191","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of 3235, 12999, 29263, 52021, 81267, 116995, 159199?\n\"Answer: -v**3 + 3256*v**2 + 3*v - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-95)\/(-350) + (6 - (46\/5 + -3)). What is the third biggest value in 4\/7, -0.32, j?\nAnswer: -0.32","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 17488 and 16.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) be the first derivative of 31 - 4*o**5 + 44*o - 88*o + 25. What is the derivative of w(k) wrt k?\nAnswer: -80*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 6\/(-1 + 4) - -6. Suppose 11*y - 540 = -12. Calculate the highest common divisor of y and t.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the third derivative of -j**5\/60 - 7*j**4\/4 + 23*j**3\/6 + 68*j**2 + 1. Is 45 a factor of v(-32)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 40\/30 + -29 + 2184\/36 + (-2 - -9)?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 229916 and 1765?\nAnswer: 405801740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v = 20*v - 2*v + 105 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in b**2 - b**3 - 2468*b + 704*b - 10*b**2 + 892*b + 9*b**2 + 872*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3673?\nAnswer: 3673","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 42381 divided by 51?\nAnswer: 831","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/3*(-3)\/9?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 564555378, 564555379, 564555380, 564555381, 564555382?\n\"Answer: h + 564555377","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 0.04 and -2.8.\nAnswer: -0.112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 1\/4, -2\/17, 2, 0.5, -193\/31 in increasing order.\nAnswer: -193\/31, -2\/17, 1\/4, 0.5, 2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the seventh root of 3271219011 to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 1231 to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (-21)\/12 + 53631\/30660. Which is smaller: b or 0?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1695332304 a multiple of 444?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t(r) = -3*r**2 - 18*r - 6. Let o be t(-9). Let a = o - -119. Does 2 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (45\/((-2025)\/(-30)))\/(-24 - -10).\nAnswer: -1\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 20 + 0 = 0. Suppose 5*t - 14 = -4*s, 0*s + s = 4*t + 14. What is the least common multiple of y\/s + 4\/6 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 - 2 - (19 - 15)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**2 + 23*t + 13. Let l be h(22). Let x = l - 27. What is the tens digit of (2*38\/x)\/((-2)\/(-20))?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 701 - -1?\nAnswer: 702","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 26*i - 113. Give s(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -3222 - -3211. Let a(d) = -142*d - 1563. Calculate a(c).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = 2*x - 5. Let k(q) = -4*q + 11. Let g(v) = -4*v + 11. Let r(d) = -3*g(d) + 4*k(d). Determine -9*j(n) - 4*r(n).\nAnswer: -2*n + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -10\/183 or 0?\nAnswer: -10\/183","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((d\/d**(-9))\/d**(-1))**21*((d*d**(-7))\/d*d)\/((d\/(d\/d**(-4)*d))\/d)*((d\/(((((d\/(d\/d**(-2)))\/d)\/d)\/d)\/d))\/d)**(-11) assuming d is positive.\nAnswer: d**165","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 143173112*m + 137167056.\nAnswer: 143173112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 23972687 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*h = -13793*g + 13788*g + 215, 0 = -2*h for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 1\/34, 0.05, -0.5.\nAnswer: -0.5, -0.3, 1\/34, 0.05","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 20791 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l - 20 = 4*k, -2*l + 0*l - 10 = -k. Suppose k = -2*x + 16 + 12. What is the remainder when 39 is divided by x?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k - k = 0. Suppose 3*g = -k*g + 69. Let m(o) = 2*o - 3. Let s be m(4). Solve s*v - g + 3 = 0 for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 80403 (base 13) to base 4\nAnswer: 313330233","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = -3*x**2 + 3*x + 5. Calculate l(1).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 330, 1307, 2924, 5181, 8078?\nAnswer: 11615","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify j*j\/(j\/(j\/(j\/(j**(-2\/19)\/j))))*j*j**(-3\/13)*(j\/j**(4\/7))\/(((j*j**(-2\/11)\/j)\/j)\/j) assuming j is positive.\nAnswer: j**(62275\/19019)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 82, 158, 232, 304?\n\"Answer: -f**2 + 79*f + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1*((-8)\/(-24))\/((-3)\/9)*3\/(-81).\nAnswer: 1\/27","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 5*m**2 - 1. Let p be o(-1). Suppose -p*x + 90 = x. Let d(v) = 5*v**2 + 216*v + 620. Let a be d(-3). Which is smaller: a or x?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 4\/34 + 1328\/272. Solve -m = -r*k + 6, 2*k + 2 = k + m for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 r when two letters picked without replacement from {r: 5}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -37 + 2*q - 6*q**2 - q**3 + 18*q**2 + 3*q**2 + 5*q**2. Let c be r(20). Solve -4 = -p - b, 2*p + 0*b + b - c = 0 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-12691)\/(-1421) - -16 - 25.\nAnswer: -2\/29","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -59\/303777 and -61\/11307255.\nAnswer: 101765295","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((j**1)**45*(j\/j**(-2\/5)*j*j)\/(j**(1\/5)\/j))\/((j**(-2\/5)\/j**(-8))\/(j**(1\/3)\/j)**40) assuming j is positive.\nAnswer: j**(224\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -143 + 147 - (-2 + 10 + 2)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -49 - -50. Let g = 1 + 0. Let i = -9 - -5. Which is the closest to g? (a) i (b) 0.4 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -8694728, -8694730, -8694732?\nAnswer: -8694734","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 = 5*v + h, 19*h - 21*h = -v + 6. Is (-3)\/3*(3493 - v)\/(-1) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 10 = -5*v + 10*v. Let j(n) = -1 + 4*n**v - 11*n**2 - n + 0. Let h be (-2)\/3 + 2\/(-6). Calculate j(h).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 10\/(-34)*4012\/(-236)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when ((-1)\/(-2))\/(3\/366) is divided by 13?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*w - 5*r = -25 - 0, -w = 5*r - 13. Suppose 15 = 6*i - w*i. Suppose 0 = -4*d + i*d - 6. Is d a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*j = 386*p - 388*p + 16, 0 = -p - 4*j + 12 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*j - 83 = x - 109, 0 = 2*x - 3*j - 22. Sort x, 3, -24, 5.\nAnswer: -24, x, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*i - 2052 = 230*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214305.\nAnswer: 3, 5, 7, 13, 157","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) = -2*j - 2 + 4*j**2 - 2*j**2 + 1. Let y be 4\/(-7)*56\/(-16). Let v(i) = 20 - 2*i - 2*i**y + 3*i - 20. What is 2*p(l) + 3*v(l)?\nAnswer: -2*l**2 - l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-12)\/(-40)*5\/6.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: (14\/35)\/((-3)\/(-15))\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(36) - (6*sqrt(72)\/sqrt(2) + sqrt(36))) + -2*(sqrt(36) + 1*sqrt(36)))\/(sqrt(108)\/((sqrt(36) + sqrt(144))\/sqrt(4) + sqrt(9))).\nAnswer: -40*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(j) = 15*j - 11. List the prime factors of t(6).\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18807884 is divided by 607?\nAnswer: 596","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-25)\/(-10)*4\/5.\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let t(k) = k**3 + 40*k**2 + 250*k - 188. Determine t(-10).\nAnswer: 312","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Expand 935*x**2 - 935*x**2 - 35*x**4 + (3 - 3 - 5*x)*(2*x**3 - 5*x**3 + 2*x**3).\nAnswer: -30*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-559)\/(-3913)*21\/15?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (2*(3*sqrt(13) - sqrt(13)) + -1 + -5 + 6*((sqrt(13)*1)**2 + sqrt(13)))*6.\nAnswer: 60*sqrt(13) + 432","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 102685429?\nAnswer: 7, 11, 59, 3229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, 4, 2405, 2 in decreasing order.\nAnswer: 2405, 4, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: 14 + 42 + -4 - 76\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -1 + 8. Suppose -k*f = -4*f + 126. Let h = 131 + f. Is h prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = g + 10. Let n be w(-7). Round n to 0 decimal places.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72229 a multiple of 81?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:20 AM and 10:59 AM?\nAnswer: 39","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 0.5, 7\/5, 3, -9, -0.2, 315?\nAnswer: 315","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*m + 15*m + 150. Let w = m - -63. List the prime factors of w.\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 1 (b) 1\/9 (c) -2\/75 (d) -5 (e) -1 (f) -2\/9 (g) -0.1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 23\/8 of a meter in millimeters?\nAnswer: 2875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2368620?\nAnswer: 2, 3, 5, 13159","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*m - m + m)*(-5*m + 3*m + 3*m) + (3*m**2 - 4*m**2 + 4*m**2)*(5 - 3 + 0) + (-m + 0 + 0)*(-2*m - 5 + 5) - 99 + 99 + 30*m**2 + m**2 - 22 - 3*m**2 + 21.\nAnswer: 38*m**2 - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Solve 20*x - 18*x + 2 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 81857.\nAnswer: 23, 3559","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i**5\/3 - 42*i**4 + 1367*i**3\/3 + 42*i**2 - 456*i = 0. Calculate i.\nAnswer: -1, 0, 1, 12, 114","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v**2 + 4*v. Let k(b) = 5*b**2 + 573*b - 1706. Let i(c) = -k(c) - 3*t(c). Differentiate i(x) with respect to x.\nAnswer: 2*x - 585","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is (-1)\/2*(-2 + -6*112) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -0.35 - 3.65. What is the closest to -1 in 1\/2, f, -5?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1111964 a multiple of 302?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify p*p**(-10)\/p*p\/(p\/(p\/(p*p**(2\/9))))*p**(-9)\/p**7 assuming p is positive.\nAnswer: p**(-236\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(-5*sqrt(33)\/((sqrt(3) - (sqrt(432) + (-2*sqrt(432) - sqrt(432)))) + sqrt(3)) - (sqrt(33) + sqrt(66)\/sqrt(32))\/sqrt(3)*-6))**2.\nAnswer: 99275\/169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v - 4*k = 4, -v + 6*v = -4*k - 16. Let y be ((-4)\/12)\/(2\/(-24)). Suppose 5*t = -5, 4*x = y*t + 4 - 0. Sort x, v, 3 in decreasing order.\nAnswer: 3, x, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0.9600164 - 0.96. What is x rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*t + s = 2, -7*t + 6*t - 4*s = 1 for t.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 m, 1 g, and 1 u when three letters picked without replacement from {p: 4, n: 1, l: 2, g: 2, m: 4, u: 7}.\nAnswer: 14\/285","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*l + 16 = 6*l. What is the derivative of 7 + 8*w**2 - w**l + 2*w**2 wrt w?\nAnswer: 18*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*r - 629*r**2 + 628*r**2 - 3*r - 1 - r**4 in the form h*r + j*r**4 + b + p*r**2 + s*r**3 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*s**2\/9 - 9050*s\/3 + 54308\/9 = 0 for s.\nAnswer: -13577, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 24 + (0 + 74 - 5 - (-1 + -7)).\nAnswer: 101","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*z - 7 = -v + 2*v, 2*v = -3*z + 1. Let d be (-2)\/z - 73\/(-3). Suppose 2*p - 49 = d. What is the remainder when p is divided by 13?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 725683531 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9 - 74 = -13*v. Which is the second smallest value? (a) v (b) 2\/11 (c) 2\/19\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -20 + -5 + 40 - 15.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*i + 2*i + 2*i + 3 - 2*i - 3*i + 3*i + (-5 - 10 + 12)*(-3*i - i + 3*i) to s + p*i and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(z) = 9 - 7*z - 4*z**2 + 16 - 18. Let p(q) be the third derivative of 3*q**5\/20 + 5*q**4\/8 - 5*q**3\/2 + q**2 - 200*q. What is 13*l(s) + 6*p(s)?\nAnswer: 2*s**2 - s + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is -60a544 (base 12) in base 2?\nAnswer: -101110000111010000100","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.28 - -113.28. Let r = y - 113.00053. Let p = 0 - r. What is p rounded to 4 dps?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 5.2 in -0.12, -0.3, -0.2, -74, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose h = 11 - 0. Let t(x) = x + 2. Let z be t(0). What is the third derivative of 31*j**2 + 2*j**3 - 14*j**2 - h*j**z wrt j?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(u) = 385*u + 5300. What is the lowest common multiple of 80 and p(-10)?\nAnswer: 11600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 63\/(-72) - (-1406)\/5776?\nAnswer: -12\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: -7 divided by 12\nAnswer: -7\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d(k) = -k**2 - 4*k + 117. Let a(c) = -11*c**2 + 2*c - 3. Let q be a(1). What is the remainder when d(q) is divided by 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -252927605 plus 8?\nAnswer: -252927597","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 368.0171 + -368. Round l to three decimal places.\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 362516760*c**2 + 11857176*c wrt c.\nAnswer: 725033520","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = -z**3 + 45*z**2 + 94*z + 22. Is 4 a factor of h(47)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 65609 to the nearest integer?\nAnswer: 256","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 less than -15\/9967?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Round -2526880670 to the nearest one million.\nAnswer: -2527000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/2487?\nAnswer: -8\/2487","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = 3*q. Let a(u) = -1151*u**2 + 26 + 10 + 1153*u**2 + 30 - 14. Give r(a(w)).\nAnswer: 6*w**2 + 156","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*i + 3*i, -5*s - i = -135. Suppose 2*r + 4*t = 438, 12 = 3*t + s. List the prime factors of r.\nAnswer: 229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together -4.45 and 907.802.\nAnswer: 903.352","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 415939446?\nAnswer: 2, 3, 13, 947, 1877","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 2*l**5 + 1815*l**4*o**3 - 64509*l**2*o**3 + 4*l*o**2 wrt l.\nAnswer: 120*l**2 + 43560*l*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 1794202.3 rounded to the nearest 10000?\nAnswer: 1790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*c**2 + 2*c**2 + 2*c**2)*(3 - 6 + 1) + (3*c**2 - 6*c**2 - 7*c**2)*(4 + 0 + 1).\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 6 and 12773361?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 56351544 - -1?\nAnswer: 56351545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -14680, -30493, -46306?\nAnswer: -62119","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/4)\/(13\/(-130)).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-16)\/10 - (-2)\/(-5). Let h = 4 + -1. Suppose -i + 2 = -h. Sort 0, j, i in ascending order.\nAnswer: j, 0, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-11)\/((-165)\/(-20)))\/((-2)\/6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-1 + 1 + v)*((1 - 4 + 2)*(7*v - 2*v + 0*v) + v + 0*v - 2*v)*(-1067*v**2 + 40*v**3 + 1067*v**2).\nAnswer: -240*v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 - (-4 + 12 + -16 + -9).\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express (-4 + 4 + 2*n)*(589*n**3 + 24839*n - 24839*n) as k*n**4 + b*n**2 + h + z*n**3 + w*n and give k.\nAnswer: 1178","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t = 3*n - 12 + 5, 3*t = n for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = l**2 + 4*l + 3. Let j be y(-3). Suppose j*d - d = 60. Let s be (1\/(-3))\/(5\/d). Solve 3*x = -s + 1 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000017338 to 7 decimal places.\nAnswer: 0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 12\/(-32)*116*(-22)\/(-33).\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 7*f = 2*f + 200. Calculate the common denominator of 0 + (2 - (-118)\/f) and (21\/9 + 1)*(-78)\/(-24).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -m + 5*m - 62118 = -47*m. Does 2 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 20 = 0, 2*u + 3*t + 14 - 83 = 0. Suppose -u = 4*k - 5*g, 4*k - 2*g + 55 = -k. Let v = k + 23. Calculate the highest common factor of v and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 2108512271 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) be the first derivative of -r**3\/3 - 13*r**2\/2 - 6*r - 291. Calculate k(-8).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(b) = 2770*b**2 - 1. Let g(t) = 45*t. Determine g(y(h)).\nAnswer: 124650*h**2 - 45","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 194?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 16\/(-168)*14*(-6)\/4?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6855*u**3 + 4*u - 6915*u**3 - 4*u.\nAnswer: -60*u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 24\/60 + 78\/5. Suppose 4 = 4*w - l. Solve 5 = -w*b - 0 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1 + (7 - 9 - -2) + 4 + 14\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3981090 divided by -6.\nAnswer: -663515","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 308 - 311. Which is the smallest value? (a) q (b) -39 (c) -1.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-64)\/(-48)*((-42)\/15)\/((-16)\/(-15))\nAnswer: -7\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 68*r - 24*r + 440 = 154*r. Let j = -24 - -1. Sort j, -5, 0, r in ascending order.\nAnswer: j, -5, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 2*a. Let w(p) = 23*p**2. Calculate s(w(t)).\nAnswer: 46*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) be the third derivative of -23*f**4\/24 + f**3\/3 - 2*f**2. Is z(-9) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -1, 5, -4, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 e and 1 o when two letters picked without replacement from fhoeiaf?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 968820.9 days in minutes?\nAnswer: 1395102096","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 17 + -14. Let j be 0\/1 - (-2 + 0). Let s = 0 + 3. Solve 13 = -j*n - 3*t, t = -s*n - c*t - 19 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6 - (25 + -6 + -8 + 8)) + 9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*f**3 + f**3 + 3*f**3 + 3*f**3.\nAnswer: -5*f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 49 a factor of 764?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is -11225280 divided by -48?\nAnswer: 233860","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is 6.6 less than 19.369177?\nAnswer: 12.769177","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 5304?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 7*p - 108. Let q(t) = -19*t + 323. Determine 8*c(o) + 3*q(o).\nAnswer: -o + 105","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/2 - ((-54550)\/1500 + 37)?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17 a factor of 1887?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence omq when three letters picked without replacement from {q: 5, o: 2, m: 2}.\nAnswer: 5\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 135910?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 121*f + 122*f - 495*f = -3*j - 125*f - 132*f + 62, 2*j = 4*f - 32 for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round -6.6389 to zero decimal places.\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1 in 148\/3, -2\/11, -1, 5, -0.2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-3*(-1)\/(-8))\/(69\/46).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 85 a factor of 2662626?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Determine v, given that 823*v**2 + 136*v + 834*v**2 + 66 + 99 + 34*v - 1652*v**2 = 0.\nAnswer: -33, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be ((-3)\/(-2))\/(1 - (-7)\/(-6)). Let x be -1 + 6355*(-3)\/n. Let l = 101359\/48 - x. Find the common denominator of l and -23\/4.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 3216?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 21 - 142. Let a = -120 - s. Solve -y = -0*y + a for y.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (r + 10*r - 3*r)*((5*r**2 - 5 + 5)*(-4*r + 4*r - 4*r) - 2*r**3 + r**3 + 3*r**3).\nAnswer: -144*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -37.72 - -37. Let p = k - -1.29. Round p to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -5*a**2 + 4*a**2 - 189*a - 4*a to the form m*a + w*a**2 + c and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 226160 divided by 63?\nAnswer: 226160\/63","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3823*u = -3801*u - 220 for u.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 83 - 44. Calculate the remainder when t is divided by 21.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -27045569810805 + 27045577680532.07699886. Let x = k - 7869727. Let r = x - 0.077. What is r rounded to seven dps?\nAnswer: -0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -0.3 (b) -0.06 (c) -95\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 - (52\/(-30))\/(-2). Suppose 0 = 12*x - 375 + 375. Factor x + 0*m - 2\/15*m**2 - 4\/15*m**3 - s*m**4.\nAnswer: -2*m**2*(m + 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 0.4 (b) 80\/19 (c) -845\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) be the third derivative of 7*f**2 - 1\/8*f**4 + 0 + 0*f**3 + 0*f. Let y(h) be the first derivative of 2*h**3\/3 - 1. Calculate b(y(g)).\nAnswer: -6*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -86434 or -2\/39?\nAnswer: -2\/39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-33*o**2 + 33*o**2 + 13*o**3)*(16 - 16 + 2*o) to the form t + k*o**2 + h*o + b*o**3 + g*o**4 and give g.\nAnswer: 26","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (27\/18)\/(36\/(-240))\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 132 minutes after 2:43 PM?\nAnswer: 4:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.6 - 3.6. What is the third biggest value in -4, 4\/7, i?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from yyayaohyooaaoyy. Give prob of picking 1 o, 1 a, and 1 h.\nAnswer: 16\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 22818, 22770, 22722, 22674, 22626?\nAnswer: 22578","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 2*p + p = 3, 15 = -5*p. Suppose 5*u - 21 - 74 = x. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 24*u = 19*u + 450. Calculate the remainder when u is divided by 28.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -37 (b) -0.07 (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 543593 - 375078. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 126 and 30?\nAnswer: 630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.44 + 0.44. Which is the closest to 0? (a) -5\/6 (b) -0.5 (c) n\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -151\/162 and -35\/175914?\nAnswer: 1583226","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence myfa when four letters picked without replacement from {m: 2, f: 2, y: 9, a: 5}?\nAnswer: 1\/408","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnnff. Give prob of picking 1 f and 2 n.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 2*p - 367 = 0, 5*o + 3*p + 1856 = -0*p. Let l = -362 - o. Solve 2*b + 3 = l for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(o) = -10*o**2 - 100*o + 240. Let a(q) = 5*q**2 + 50*q - 120. Let s(n) = -5*a(n) - 2*x(n). Solve s(k) = 0.\nAnswer: -12, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 13 divide 464399?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c\/(c*c\/(c\/((c*c**(2\/21))\/c))*c))\/c)\/(c\/(c\/(c**(-3\/4)*c))) assuming c is positive.\nAnswer: c**(-197\/84)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from mcjcjxs. Give prob of picking 1 s, 1 j, and 1 m.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 285.3361 millilitres?\nAnswer: 0.2853361","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from jjddddfj.\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 75*b - 26*b - 2548. Let h be b\/(-234) - (-83)\/9. Solve -h = 7*o - 2 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence kxl when three letters picked without replacement from kzzxxl.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 4, p: 11, a: 2, q: 2}. What is prob of picking 1 q and 3 f?\nAnswer: 2\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (59 + -61)*(12\/(-18))\/((-4130)\/105).\nAnswer: -2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the tenth root of 907191504 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 3\/692 and 121\/996?\nAnswer: 172308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 8:27 PM?\nAnswer: 2:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q = -q. Suppose -140 = -41*t + 24. Suppose -u = -q*w - 3*w + 22, t*w - 4 = -5*u. Solve g + w = -g for g.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in -0.045, -0.056, 0.2, -3?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand (59 - 48*c + 66 - 120)*(18*c**2 + 2*c**4 - 18*c**2).\nAnswer: -96*c**5 + 10*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from hhhhisitisiiihiiithi. Give prob of sequence st.\nAnswer: 1\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 210 - 204. Let d(y) be the first derivative of 0*y + 0*y**3 - 3\/2*y**2 - y**4 + t. Find the second derivative of d(q) wrt q.\nAnswer: -24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 10 and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 2*s = 17, -3*v - 3*s = -s - 1. What is the highest common factor of v and 21?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(i) = i**3 + i**2 + 4*i + 6. Let h be v(0). Let m be 12*(h + -10 - 187\/(-2)). Suppose 5*t - m = -t. Is 26 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -920, -1821, -2722?\nAnswer: -3623","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 130, -3, -4, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Does 0 = -3\/35637032?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -4 + 4 + 0 + 59*x**2 to g*x + j*x**2 + l and give j.\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: 1\/(-4)*32*(9114\/112)\/21\nAnswer: -31","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:04 PM and 3:27 AM?\nAnswer: 623","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 4, -3, 74, 7\/4, 2\/5, -85?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -131143\/10 + 13126. Find the common denominator of 47\/130 and t.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -3\/7 (b) 0.1 (c) -92\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*g**4 - 14208*g**3 + 32858280*g**2 - 24505135200*g.\nAnswer: 2*g*(g - 2730)**2*(g - 1644)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 38743 equal to 38884?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) be the third derivative of -1\/10*w**5 + 0*w - 11*w**2 + 0*w**4 - 1\/6*w**3 + 0. Calculate g(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14*w = -10*w - 16. Let f be (w\/(-9))\/((-20)\/6 - -4). Let h be -1 + 0 + (0 - -1). Which is bigger: f or h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 4654 (base 13) to base 2\nAnswer: 10011010001111","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -1\/2, 1, -0.3, 2\/55, -2\/17 in decreasing order.\nAnswer: 1, 2\/55, -2\/17, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence mo when two letters picked without replacement from rrrormrrmmmmormm?\nAnswer: 7\/120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -3*s**2 - 426*s + 24552 = 0.\nAnswer: -186, 44","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -1955.844 to the nearest one hundred.\nAnswer: -2000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -65*o**3 - 73*o**3 + 139*o**3 - 4 + 4.\nAnswer: o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(j) = -224*j - 269. Is i(-27) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1133440 divided by 92?\nAnswer: 12320","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(343)\/(sqrt(42)\/sqrt(6)))\/((-4*sqrt(4200) + sqrt(42))\/sqrt(6)).\nAnswer: sqrt(7)\/39","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 662 minutes before 3:18 AM?\nAnswer: 4:16 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tggttttgttgtgttgggg. Give prob of picking 1 t and 1 g.\nAnswer: 10\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 2872 and 4036.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -2 + 4. Suppose -u + 44 = 3*w, -o*w - 165 = -4*u + 25. Calculate the remainder when u is divided by 16.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 7 in -1, -0.8, -5?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 40 and 172192.\nAnswer: 860960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*c - 2*n - 1 + 7, -9 = -3*c - 3*n. Solve 4*k + 0*w + 4*w + 20 = c, 0 = 4*k - w + 5 for k.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*n = 108*n - 1155 for n.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 68 divided by 2693?\nAnswer: 68\/2693","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Round -2617990.6 to the nearest one hundred thousand.\nAnswer: -2600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 25 - 17. Let q = -176 + 227. Suppose 3*y + q = 3*t, 3*t - y = -5*y + 44. What is the greatest common divisor of b and t?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -1927, -3748, -5561, -7366?\n\"Answer: 4*p**2 - 1833*p - 98","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) = 365*z**2 - z - 79. What is the ten thousands digit of r(-6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1353572810?\nAnswer: 2, 5, 17, 7962193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify o**(2\/19)\/(o\/(o\/o**(-14))*o) assuming o is positive.\nAnswer: o**(249\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Express -g**2 + 2 - 3 + 16 + 37*g**3 - 14 - 2*g as t*g**3 + f + h*g**2 + i*g and give t.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/7 in 5, 0.83, 2\/283?\nAnswer: 2\/283","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*j + 7*n + 1342449 = 1342275, n + 14 = -3*j for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 361 divided by -20245.\nAnswer: -361\/20245","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 9 + 7 + (-4)\/(-2)*-5. Solve m = -h - 7, y*m + 3 = 9*m - 3*h for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 185\/148*(-12)\/(-10)?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1154.1 + 1159.8068. Let s = -34.7058 + v. Let y = s + 29. What is y rounded to three decimal places?\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -48 - -31. Let h = p + 13. Which is the third smallest value? (a) h (b) 0.3 (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(y) = 2*y**2. Let q(o) be the second derivative of 7\/6*o**4 + 0*o**2 + 19*o + 0*o**3 + 0. Calculate u(q(i)).\nAnswer: 392*i**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence uc when two letters picked without replacement from uouxecm?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Does 967 divide 2717667437?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 906800\/(-24)*(5 - 31\/5). Round l to the nearest 1000.\nAnswer: 45000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) be the second derivative of 13*m**3\/6 - m**2 - m. Let z be r(6). Suppose -a = 2*j - 20, 24 = -4*j + 4*a + z. What are the prime factors of j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = 2*x**3 + 42*x**2 + 80*x + 1. Give l(-2).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -434 + 27?\nAnswer: -406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*h + 13 = 1, 3*p + 640 = 2*h. List the prime factors of p\/(-15) - 6\/15.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r - 4 = -3*r. Let j(d) = -2*d**3 + 95*d**2 - 15*d + 65. Let u be j(47). Suppose -h = 4*k - u, -r*k - 2*h + 777 + 797 = 0. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -46581 times -0.3?\nAnswer: 13974.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*h + 3*h - 4*h)*(h**4 - 6*h**4 + 4*h**4) - 3*h**5 + 3*h**5 + 2*h**5 + 2*h**5 + 0 + 0 + 133*h**3 + 48*h**5 - 133*h**3 + 3*h**3 - 3*h**3 + 5*h**5.\nAnswer: 56*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 35?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = p**2. Let c(w) = 3*w**2. Let h be (-1 + -2 + 5)\/(2 - 0). Let r be (-5 - 1)*(-4)\/(-6). Let i(x) = h*c(x) + r*v(x). Let k(d) = -5*d. Give k(i(s)).\nAnswer: 5*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve -95*w + 1549 = 36*w + 501 for w.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2632747 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*a = 1 - 11. Solve -a*r + 4*r = 4 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1 + (-4)\/4)\/2 + -797. Let k = -248 - a. What is the units digit of k?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33 a factor of 210396944?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = 11*h**3 + 3*h. Suppose 0 = 4*w - 5*l + 96 - 83, 2*w = 3*l - 9. Let z(b) = -56*b**3 - 16*b. What is w*z(d) + 16*s(d)?\nAnswer: 8*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c = 2*c + 12. Let f = c + 6. Let g(t) = -t**2 + 11. What is the tens digit of g(f)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-356)\/3)\/((-8)\/12). Suppose s = 2*u - 632. Let h = u - 218. Is h a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 0.03 + -4.03. Let u = -3.6 - m. Let y = -1.2 + 1. What is the nearest to 0 in 0, u, y?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -1804281355 - -12864526017717\/7130. Let t = h - 6\/713. Let b = -9343\/12 - -2278\/3. Calculate the common denominator of b and t.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 0.2, 3, 6, -2\/7, -2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, -4, 1422, -11\/2, 4, -2\/11 in ascending order.\nAnswer: -11\/2, -4, -3, -2\/11, 4, 1422","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (4 - (-32)\/(-4)) + 3. Let k = 7 - v. Suppose -4*d = -24 - 16. Calculate the smallest common multiple of d and k.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence qxmv when four letters picked without replacement from qtxmmtqrxtmv.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Is 944208 a multiple of 18?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is (101962\/28)\/((-4)\/(-8)) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 138967597.\nAnswer: 37, 59, 63659","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 228243800 divided by -8.\nAnswer: -28530475","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -3\/59 (b) -6\/11 (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Product of 6935 and 3.\nAnswer: 20805","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -u**5 - 455107*u**3 - u**2 + 80*u - 54417?\nAnswer: -60*u**2 - 2730642","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"} +{"text":"Question: 776 (base 12) to base 3\nAnswer: 1111200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 2\/27 of a day?\nAnswer: 6400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of -2941, -2803, -2665, -2527, -2389?\n\"Answer: 138*d - 3079","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 131*g**4 + g - 1863840*g**3 + 1863842*g**3 - 5*g**2 - 1 - 6*g**4 + 8*g**2 as x*g**2 + j*g**4 + z*g**3 + n + d*g and give n.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -25*u + 7438 = x - 26*u, 4*x - 2*u = 29746. Suppose -i = h - x, -10*i = -4*h - 7*i + 29726. Is h a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify a**13\/a*a**23 assuming a is positive.\nAnswer: a**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -1 - -11 - (4 - 4). Let i(p) = 113*p**2 - 15 + 9*p - 57*p**2 - 57*p**2. Let q be i(5). Solve 5*u = 2*b - 6*b - r, 10 = b - q*u for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -326, -2645, -8924, -21137, -41258, -71261?\n\"Answer: -329*o**3 - 6*o**2 + 2*o + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: (273\/117)\/((-4)\/(-12))\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 408862 and 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Sort -14826, -2, -4, 0, -3 in descending order.\nAnswer: 0, -2, -3, -4, -14826","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8697108?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-10)\/(63\/(-18)*46\/161).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6139 times -17260?\nAnswer: -105959140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 570 minutes after 11:48 PM?\nAnswer: 9:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -93*o + 44*o = -75*o + 156. Solve -o*m - 16 + 4 = 0 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000003092 to 7 dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 1\/2 - (-9)\/6. Suppose -c*z + 22 = -52. Is z composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3 + 0 + 5)*(-2*y + 2*y - 3*y)*(-y + 2*y - 2*y).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 160 and 8896.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 907\/10 + -87. What is the common denominator of y and -1\/52?\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: (3 + 0 - (582 - 646)) + 2\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((3*(sqrt(136)*1 - sqrt(136)))\/(6*(sqrt(8) - -4*sqrt(8))))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 8880673 is divided by 887.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5406 and 12?\nAnswer: 10812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -297*p + 153*p = -153*p + 225 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5 + 2 = -5*q - 2*y, q = 3*y - 15 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: -342 (base 5) to base 16\nAnswer: -61","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2440*m**2 + 2370*m**2 + 13 - 13 + m.\nAnswer: -70*m**2 + m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*x + 15 - 30 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 167, 1, -10.\nAnswer: -10, -5, 1, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1 + 5 + -6 + -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that -115*h - 2*h**2 + 52*h + 48*h - 3*h**2 = 0.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-105)\/(-10) - (9 + 2). Let x be (-1)\/3 + (-30)\/(-9). What is the nearest to -1\/2 in m, x, 0?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*z + 4 = -3*z, -3*g + 20 = -2*z. Let i = 21 + g. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 2\/5? (a) 20 (b) 37 (c) 5 (d) -5 (e) 19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: 323 (base 8) to base 12\nAnswer: 157","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -0.5 (b) 0.2 (c) 43\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 68613?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y(i) = i - 2. Let v be y(0). Let p(t) = t + 1. Let s(u) = u. Let n(r) = -p(r) + 4*s(r). Give n(v).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -8 + 12. Suppose -4*l + 216 = 4*x, -l - z*x + 160 = 2*l. Calculate the common denominator of 17\/6 and (1\/(-2))\/(2\/l).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 715 minutes after 10:58 AM?\nAnswer: 10:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rr when two letters picked without replacement from rprxrpfr.\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -1771*c**4 + 12478*c**3 - 31755572*c + 2 wrt c.\nAnswer: -21252*c**2 + 74868*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find u such that -4*u**5 - 246*u**4 - 4942*u**3 - 36822*u**2 - 83326*u - 33060 = 0.\nAnswer: -29, -19, -10, -3, -1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 392 - 821\/2. Calculate the common denominator of 55\/6 and f.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = b**3 + 10*b**2 + 15*b - 5. Let d be a(-8). Solve 0 = -d*z + 2*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -262, -534, -806?\nAnswer: -1078","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2343936281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -y**2 + 27*y - 172 wrt y?\nAnswer: -2*y + 27","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + -1*6\/(-1). Let m be (-28)\/(g\/9 - 1). Suppose 8*i = m + 162. What is the tens digit of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(b) = 192*b + 7. Is m(5) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 9 and -1.23.\nAnswer: -11.07","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is -796044100 rounded to the nearest 1000000?\nAnswer: -796000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(-18)*n\/((n**15*n)\/n) assuming n is positive.\nAnswer: n**(-32)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 2 or 496?\nAnswer: 496","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -74, -100, -130, -170, -226, -304, -410?\nAnswer: -550","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (585\/(-10))\/(2\/(-4)) is divided by 213\/7 - 24\/56?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1*7*-5*((-37)\/((-1443)\/234))\/(-6)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*-1*sqrt(16)\/sqrt(4))\/((2*sqrt(150))\/sqrt(3)).\nAnswer: -sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(l) = -19*l - 264. Give c(-13).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -1768 by 26.\nAnswer: -68","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (0 - 0) + 5 + (-23 - -27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/3? (a) 2\/95 (b) -2 (c) 2425\/6 (d) -5 (e) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -8*n - 2. Let x be m(-11). Suppose -q = 43 - x. Calculate the remainder when q is divided by 24.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*f + x - 12, -3*x = 2*f - x - 12. Let i(z) = -z + 6. Let y be i(f). Solve 0 = -2*r - 6 - y for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 8*q + 30 = 0. List the prime factors of (29*4)\/(5\/q*4).\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 96 - 94.11. Let d = 0.11 + r. Let s = -26 - -25.97. Which is the smallest value? (a) d (b) s (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 276 = v. Let k = v - 15. Let d = k + -67. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be -38 - (-4 + 4 - 0). Let j = o - -91. Is 9 a factor of j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 9?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 480\/40*224\/(-168)?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 d when two letters picked without replacement from dmmmdddmddmmm?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (4 - 44\/8)\/((-1)\/2). Solve -l*q = 3*x + 3, -3*x + 4 = 5*q - x for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3844?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = m**2 - 1. Let f = -11 + 33. Suppose 29*g + f = 18*g. Let a be i(g). Solve 2*v = -5*r + 31, -r + 5*v - 1 = a*v for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(w) = w**3 - 7*w**2 + 5*w + 2. Calculate q(6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between -25 and 28909910?\nAnswer: 28909935","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 15591990?\nAnswer: 2, 3, 5, 519733","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -0.086, 0, 2\/5, -2?\nAnswer: -0.086","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -146343, -146241, -146139?\n\"Answer: 102*b - 146445","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 1362967 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Convert 8025.896 litres to millilitres.\nAnswer: 8025896","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 4624669\/458422 + (-15)\/(-6)*-4?\nAnswer: 3\/34","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: 1140\/1368*1\/(-15)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z\/(z\/(z*z*z**(-1)*z)*z)*z)**(-12\/17))**15\/(((z*z**1*z)\/z**(-4))\/((z\/z**7)\/(z\/z**4))) assuming z is positive.\nAnswer: z**(-530\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:14 PM and 2:15 AM?\nAnswer: 481","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of 2482636, 4965267, 7447896, 9930523?\n\"Answer: -s**2 + 2482634*s + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-6)\/10 - (-570)\/75. Let h(o) = -m*o**2 + 84*o + 2*o**2 - 7 + o**3 - 88*o. Does 12 divide h(7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -117 - 128 - 125 + 305*y + 152*y + 372.\nAnswer: 457*y + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 137985 and 2055?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 20238898 is divided by 399?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 283, 292, 321, 376, 463, 588?\nAnswer: 757","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*r**2 - 2*r**2 + 30*r - 29*r)*(-r + 1 - 1) - 5*r**3 + 3*r**3 + r**3.\nAnswer: -3*r**3 - r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47 - (-5 + (-10)\/(-2)) is divided by 10.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 1010 and 11815.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 703 or 702?\nAnswer: 703","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 126 minutes after 3:22 PM?\nAnswer: 5:28 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -82*p + 28 = -86*p, -2*q + 5*p = -25 for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -43 - -42.999752. What is x rounded to five decimal places?\nAnswer: -0.00025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5898038771 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -16.722 + -0.378. Let s = r + 1.1. Let x = s - -16. What is the third biggest value in x, -2\/3, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(k) = 14425*k**3 + 3*k**2 - 2*k - 16. Suppose 28 = 4*w - 0. Suppose w = -3*i + 1, 5*n = -2*i + 51. Let o be x(n). Round o to the nearest one million.\nAnswer: 19000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 7596 is divided by 796.\nAnswer: 432","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:44 AM and 9:14 AM?\nAnswer: 270","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve -k = 30 - 25 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*u + 15 = w, 0*u + 2*u = -4*w + 24. Let i(l) be the first derivative of 5\/3*l**3 + 6 + 3*l**u + 0*l. Find the second derivative of i(a) wrt a.\nAnswer: 10","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 8) in base 9?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is (1 - (41 + -33)) + -60?\nAnswer: -67","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**2 + 16*n - 36. Give y(10).\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -2, 0.4, -40\/44977?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -100 - 420350?\nAnswer: -420450","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1800098 divided by 47371.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 432780587 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-4)\/(-14)*(-86345)\/(-14802).\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*a - 5*c - 5, -c + 0*c + 14 = 4*a. Suppose 5*t + 242 = z, a*t - 419 = -2*z - 0*t. Is z a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 14591 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*((sqrt(7) + 2)*3 + 3*(sqrt(7) + sqrt(7) + 0)).\nAnswer: 12 + 18*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 198086, 198123, 198160, 198197, 198234?\n\"Answer: 37*p + 198049","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"} +{"text":"Question: Suppose -o - 22 = 56. Is (6 - 5) + (-2 - o) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*a**2\/3 - 128*a - 3072.\nAnswer: -4*(a + 48)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 25639067 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 0 + (-6)\/(-14)*1. Suppose -5*l + 3*f - 6 = 0, 21 - 6 = -5*f. What is the second biggest value in 0.4, y, l?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:53 PM and 1:32 AM?\nAnswer: 639","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -22813 + -211807. Let k be 3\/(-4) - 1337254\/s. Let r = k - -4\/11731. What is the common denominator of 61\/8 and r?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 16\/(-20)*(2 + (-33)\/(-6)). Suppose -3*k + 7 = 4. Let d(a) = 1. Let i(q) = -q + 8. Determine c*d(w) + k*i(w).\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(-2\/3)\/r)**(-25)\/((r\/(r*r**5*r))\/r**11))**(-2\/143) assuming r is positive.\nAnswer: r**(-32\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = k**3 + 24*k**2 - 2*k - 37. Let t be y(-24). Let p(h) = 614*h - t - 614*h + 4*h**2 - 8*h**2. Let q(a) = -2*a**2. Give p(q(s)).\nAnswer: -16*s**4 - 11","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((t**3 - t + t)*(4 + 1 - 3) + 1 - 1 - t**3)*(0*t**2 - 4*t**2 + 2*t**2) + 58*t**5 + 103*t**5 + 94*t**5.\nAnswer: 253*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -13452\/5 + 2678. Calculate the common denominator of b and 1*(3 - 62\/11).\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(q) = -q + 3. Let r be f(0). Let n be 10\/35 + r\/14. Factor -2*c + 2 + n*c**2.\nAnswer: (c - 2)**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 9412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1655 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 991905, 991908, 991911?\n\"Answer: 3*y + 991902","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 209455 to the power of 1\/2, to the nearest integer?\nAnswer: 458","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*s - 22 = -2*h, 0*h - 3*h - 57 = -3*s. Let v be s\/2*(-8)\/(-12). Suppose -v*b = -0*b, 18 = l - 5*b. Is l a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*q**3 + 74240*q**2 + 74255*q - 148490.\nAnswer: -5*(q - 14849)*(q - 1)*(q + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -86 + 346 + 8 + 243 - 45*s.\nAnswer: -45*s + 511","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u**2 - u + 11. Let l = 0 + 0. Let w be b(l). Suppose 266 = 27*y + 131. Solve y*f - 4 = w for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = 2*r**2 - 60*r - 79. What are the prime factors of j(-15)?\nAnswer: 31, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((5*sqrt(896) - sqrt(896))\/(sqrt(2) + sqrt(6)\/(sqrt(21)\/sqrt(7))))**2 + -3.\nAnswer: 1789","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 19 + -19. Suppose 4*t + m*t + 4*q - 32 = 0, -7 = -4*t + q. Solve t*i - 25 = -2*i for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(f) = 167*f**3 + 496*f**2 - 8*f + 8. Calculate x(-3).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (2\/(-3))\/((-4)\/108). Calculate the highest common factor of f and 144.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l = -5*n + 20, -5*n - 422 + 412 = l. Suppose 0 = -3*r + 2*r. Let h(c) = -6 - c + r*c + 1 + 2*c. Determine h(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -127*w + 39*w - 125*w.\nAnswer: -213*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 135021024?\nAnswer: 2, 3, 379, 1237","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of -186851, -183456, -180059, -176660, -173259, -169856, -166451?\n\"Answer: o**2 + 3392*o - 190244","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -9*b + 5*z - 424 = 16*b - 19*b, 2*b + 0*z + 132 = 4*z for b.\nAnswer: -74","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 12 - 22201110?\nAnswer: -22201021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 21313 - 21314. Sort -7, -2, j, -6, 1 in increasing order.\nAnswer: -7, -6, -2, j, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-48*n**2 + 3*n**2 + 3*n**2)*(45357*n**2 - 200*n - 80*n - 45358*n**2) to k + i*n + s*n**4 + f*n**3 + t*n**2 and give s.\nAnswer: 42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 16528 (base 9) in base 5?\nAnswer: 330431","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Round -2.465609422 to three decimal places.\nAnswer: -2.466","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = g - 2*u - 6, 2*g + 3*u - 2 = 3. Suppose 0 = 4*k - g - 4. Is 2 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from mwwummmwmuzuwzmpwmmz. What is prob of sequence wmmm?\nAnswer: 14\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 4024 - 4028. Put -5, w, 121 in descending order.\nAnswer: 121, w, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.11 in -0.2, 4, 0.062?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1599)\/(-2366) - -2*18\/(-168).\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 54408?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 28231415?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a be ((-58956)\/8154 - -7) + 2\/18. Is 0 greater than a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -33 by 4.\nAnswer: -33\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1345*u - 1 - 96*u + 96*u.\nAnswer: 1345*u - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 43010901?\nAnswer: 3, 17, 281117","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -145.4 - 1.6. Let z = -108.5 - c. What is z rounded to the nearest 10?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-12) - 51370\/(-132). Let n = -386 + y. Let i(p) = p**2 - p - 6. What is i(n)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 677 + -681. What is the nearest to -1 in -8, d, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the qth term of 181, 214, 249, 286, 325, 366?\n\"Answer: q**2 + 30*q + 150","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*n + 6 = -5*x, -5*x + 0*n = -3*n + 13 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (4 - 4\/4) + -8. Let n(p) = p**2 + 5*p. Let w be n(-6). Let r = w - q. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -2*s**2 + 90*s - 2721. Let h(p) = -p**2 + 49*p - 1361. Determine -11*h(o) + 6*x(o).\nAnswer: -o**2 + o - 1355","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: -1 (base 11) to base 9\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-75057)\/508)\/591 + 334\/56.\nAnswer: 40\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose y - 5 = 4*f + 33, -y + 39 = -5*f. Suppose -2*c + y = -c. What are the prime factors of c?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1733284?\nAnswer: 2, 7, 103, 601","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*y - 652310 = -2*h - 652228, 154 = -5*y + 4*h for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Convert 128654.6 years to decades.\nAnswer: 12865.46","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: -4 - (17 + -39 - (2 - 0))\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (2\/1)\/((-20)\/(-40)). Solve -4 = -2*q - 2*i, 0*q + 2*i + 2 = -w*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l = 2*k - 960, -4*l - 251 = 5*k - 2639. Let z = -202 + k. List the prime factors of z.\nAnswer: 2, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 46 - 45.38. Let s = q + -0.12. Which is the nearest to 0? (a) -5 (b) -3 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2*g - 2*g - 3*g)*(30 + 137 + 20).\nAnswer: -561*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-232)\/20)\/(6\/(-15)). Let p = 98 - x. Suppose -87 = -5*w - 4*t, -2*w - 3*w + p = -2*t. What is the units digit of w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6 = 2*g - 102. Let n = g - -113. Is n prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -11 + -6 + -1 + (11 - (-13 - -22)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -35 divided by -110?\nAnswer: 7\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let u(h) = -h - 3*h - 1 - 2*h + 2*h + h**2. Give u(-3).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*x + 18 = -2*f, -4*f - 3*x = -2*x + 24 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 49828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*c**2 - 1033*c + 1026*c - 1 + 65*c**2.\nAnswer: 21*c**2 - 7*c - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -2 + 4. Sort 1\/5, -13, d.\nAnswer: -13, 1\/5, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1561265*d**2 - 901521*d.\nAnswer: 3122530","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 2677?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 1676 divided by -2?\nAnswer: -838","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -15*q**2 - 2*q**3 + 16*q**2 - q**2.\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -681 - -1724. What are the prime factors of u?\nAnswer: 7, 149","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3729 is divided by 533.\nAnswer: 531","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(d) be the first derivative of -d**4\/12 + 4*d**3\/3 + 5*d**2\/2 - 197*d - 193. Let w(c) be the first derivative of j(c). Calculate w(8).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d\/(d**(-6\/7)*d))\/d**(15\/4)*d*d**29*d*d**(-3) assuming d is positive.\nAnswer: d**(703\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 10274?\nAnswer: 2, 11, 467","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 134 greater than or equal to 6358\/47?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(n) be the second derivative of n**4\/6 - 2*n. Let i(l) be the first derivative of -l**3 - 2. What is i(k(c))?\nAnswer: -12*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is -5 take away -12595577740?\nAnswer: 12595577735","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of -9*j**2 + 136*j + 5604. Calculate p(7).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(f) be the first derivative of -814*f**6\/3 + f**4\/2 - f**2\/2 - 630*f + 1093. What is the second derivative of y(l) wrt l?\nAnswer: -32560*l**3 + 12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 9153.22 millilitres in litres?\nAnswer: 9.15322","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*m**3 + 4*m**2\/3 - 56*m\/3 - 80\/3.\nAnswer: 2*(m + 2)**2*(3*m - 10)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Put 1\/3, -0.06202, -3, 2\/15 in increasing order.\nAnswer: -3, -0.06202, 2\/15, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {r: 2, d: 3, v: 3}. Give prob of picking 2 r and 2 v.\nAnswer: 3\/70","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 446 is divided by 107?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 i and 1 g when three letters picked without replacement from {l: 12, g: 1, n: 3, i: 4}.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let r(h) be the first derivative of h**6\/60 + h**5\/20 - 7*h**4\/24 + h**3\/3 + 68*h - 94. Let m(z) be the first derivative of r(z). Factor m(c).\nAnswer: c*(c - 1)**2*(c + 4)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*d**3\/13 + 150*d**2\/13 - 308*d\/13.\nAnswer: 2*d*(d - 2)*(d + 77)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-2\/3)*z)**(-1\/3))**(-50)*((z*z\/(z\/z**0))\/(z**(-1)\/z))**(-11\/4) assuming z is positive.\nAnswer: z**(503\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((h\/h**5)**(-16)\/(h**(2\/47)\/(h\/(h*h\/((h\/(h\/((h\/h**(13\/3))\/h)))\/h))*h)))**(8\/9) assuming h is positive.\nAnswer: h**(66128\/1269)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4 = -2*v + 4*s, 5*v - 7*s + 2*s - 10 = 0 for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = 5*g - 156. Calculate l(33).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) be the first derivative of 9*i**2 + 1\/6*i**6 + 29\/4*i**4 - 53 + 0*i + 9\/5*i**5 + 13*i**3. What is b in k(b) = 0?\nAnswer: -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*o - 5*g = 30, o + 3*g - 5*g - 3 = 0 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {d: 4, k: 1, r: 3, o: 2}. What is prob of sequence rd?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 32\/3 + -9. Let o = -205\/4 + 51. Which is the nearest to o? (a) g (b) 1 (c) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 1481*s + 97749. What is f(-66)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -277 + 284. Suppose 4*t = -6*c + n*c + 1675, -1690 = -4*t - 2*c. Does 30 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1300 and 2.8?\nAnswer: 3640","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (0 + 1096\/(-20))\/(2\/(-10)). Let g = c - 270. Solve r + 4 = u + u, 5*r = -g*u - 20 for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2296*k**2 + 4817*k**2 - 2496*k**2.\nAnswer: 25*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 14182 >= 2134?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -37 = 3*i + 2*r, -2*i + 6*i = 2*r - 54. Let c(x) = 9*x + 2. Let z(v) = 4*v - 6*v - 1 - 2*v. Let a(q) = i*z(q) - 6*c(q). Differentiate a(w) wrt w.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -13 divided by -43543591?\nAnswer: 1\/3349507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 5 a factor of 22366?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 1.2 - 13.2. Let s = -10 - y. Let j = -49.7 + 49.8. What is the third smallest value in 3\/7, j, s, -1\/6?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(v) be the first derivative of v**2\/2 + 4*v - 134. Calculate o(6).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 29535222, 59070445, 88605668, 118140891, 147676114, 177211337?\n\"Answer: 29535223*a - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 11 + 14. Suppose k = s + 4*s. Suppose 0 = -2*h - s*j + 11, -1 = -h + j - 2*j. Which is smaller: h or -1?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -62, -84, -132, -218, -354?\n\"Answer: -2*m**3 - m**2 - 5*m - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 220504373 to the power of 1\/3, to the nearest integer?\nAnswer: 604","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((0*a**3 + a**3 + a**3)*(3*a + 0 + 0) + 2*a**4 - 4*a**4 + 3*a**4)*(8 + 9 + 7).\nAnswer: 168*a**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Factor -u**2 - 145973*u - 1021762.\nAnswer: -(u + 7)*(u + 145966)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from yyyyyyyyy.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:25 AM and 2:49 PM?\nAnswer: 264","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -2, -14, -34, -62, -98, -142?\nAnswer: -194","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -c - 123 = 12*u + 78, -c - 2568 = -5*u - 2656 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 147689167?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let k(z) = z**3 + 19*z**2 + 19*z + 18. Let i be k(-18). Which is bigger: -20\/71 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: 260 divided by -2\nAnswer: -130","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.2 + -0.2. Let n = o - -0.1. Suppose -31 = -25*a - 17 + 36. What is the third smallest value in a, n, -5\/4?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -7192670395, -7192670396, -7192670397, -7192670398?\n\"Answer: -v - 7192670394","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13035 = 90*f + 305*f for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 3*d**2 - 11*d - 3*d + 99*d wrt d?\nAnswer: 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (30\/(-25))\/(4\/((-80)\/6))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {s: 3, y: 1, e: 7, f: 3}.\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let x(n) = -n**3 + 8*n**2 + n + 3. What are the prime factors of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000001663695 to 7 dps.\nAnswer: -0.0000017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -373 + 3*h**3 - 4*h**2 + 4*h**2 + 2*h**2 + 350 - 349 to the form x + a*h**2 + u*h + m*h**3 and give m.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 13 in -19, 0.2, -18?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = -5*w + 7. Let r(c) = -21*c + 25. Let f(k) = 4*r(k) - 18*v(k). What is the remainder when 622 is divided by f(7)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 16875.17 or -0.9?\nAnswer: 16875.17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 886?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -18853 times -213\nAnswer: 4015689","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -0.2 * 0.023\nAnswer: -0.0046","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let a(o) be the second derivative of o**7\/70 + o**6\/40 - 3*o**5\/20 - o**4\/8 + o**3 - 7*o**2\/2 - 8*o. Let g(k) be the first derivative of a(k). Factor g(b).\nAnswer: 3*(b - 1)**2*(b + 1)*(b + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 162 and 252.\nAnswer: 2268","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of 64176, 256748, 577704, 1027044?\n\"Answer: 64192*f**2 - 4*f - 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Round 11.74 to the nearest integer.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 135478 times 3\nAnswer: 406434","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence cce when three letters picked without replacement from {q: 2, c: 2, e: 2}.\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from nnnfy. Give prob of picking 2 n, 1 f, and 1 y.\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-1)\/4 - 7\/(-28). Suppose l = 3*k - 60 - 33. Let a = 55 - k. 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: Suppose 52 = -5*o - 3. Let r be -5 + -1*(-6)\/3. What is the tens digit of (o\/r)\/(2\/6)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 18880 is divided by 227?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -a**2 + 3*a - 3. Suppose 14 = -4*o + 2. Let p(q) = 5*q - 5. Let h(x) = 3*x - 3. Let u(t) = 8*h(t) - 5*p(t). Determine o*u(b) - k(b).\nAnswer: b**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or -8\/675439?\nAnswer: -8\/675439","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f**18)**12*(f**0*f)\/f*f*f*(f\/f**(-1\/22)*f)\/f assuming f is positive.\nAnswer: f**(4819\/22)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -206, -413, -620?\nAnswer: -827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -1 (b) 507 (c) 2\/5 (d) 2\/11 (e) 22 (f) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: 32303332333 (base 4) to base 11\nAnswer: 2212349","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 14501030 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00016225 rounded to 5 dps?\nAnswer: 0.00016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 394323460?\nAnswer: 2, 5, 19716173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10496400 is divided by 107102.\nAnswer: 404","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 9095265.\nAnswer: 3, 5, 359, 563","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let v(r) = -3*r - 103. Let k = 16 + -16. Let z be v(k). Let q = 260 + z. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -8 in -1, -1\/5, -7?\nAnswer: -7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:44 AM and 12:12 PM?\nAnswer: 568","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1 + ((sqrt(65)*-2*-2)\/sqrt(5))**2*-1)*-3.\nAnswer: 627","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*d + 168 - 163 = 3*j, 0 = 3*j + 5*d + 1 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -46\/9, 0, 10\/7, -2\/19, -0.3 in ascending order.\nAnswer: -46\/9, -0.3, -2\/19, 0, 10\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2728 and 55.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the first derivative of 164*w + 1\/2*w**2 + 0*w**3 + 255 - 37\/2*w**4. What is the derivative of s(a) wrt a?\nAnswer: -222*a**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 7 - -7. Let o be 2*g\/(4 + -3). Suppose -o + 8 = -r. What is the least common multiple of r and 14?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 7122 and 205351?\nAnswer: 1187","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/5))**(-3\/7)*x**(-8)*x**(1\/3))\/((x**(-4\/7)*x*x**9*x*x)\/(x**8*x*x\/((x*x\/(x**(1\/7)*x))\/x))) assuming x is positive.\nAnswer: x**(-958\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 938939144 and 7?\nAnswer: 6572574008","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00205 to 3 dps.\nAnswer: -0.002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(x) = -2*x**2 - 1600*x - 1601. Determine r(-1).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Divide -935104 by -49216.\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 131*0.19\nAnswer: 24.89","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 8075140 to the nearest integer?\nAnswer: 201","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, s: 2, d: 1, o: 1}. What is prob of picking 2 f and 1 s?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 232 + -228. Suppose -b*f = 5*c + f + 80, -c + 3*f = 36. Is c > -98\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -117, -123, -129, -135, -141?\nAnswer: -147","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: (-4 - -3)\/((-48)\/30 - (-5)\/(-25))\nAnswer: 5\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 15841 or 807937\/51?\nAnswer: 15841","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 54 and 34416?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-6 - 8 + 9)*(0 + 4 - 2)*(0*k**2 + 0*k**2 - k**2).\nAnswer: 10*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*z + 18 = 15*z. Let q(f) = -110 - 110 + 215 - z*f + 9*f. Let r(d) = -d. Give q(r(w)).\nAnswer: -6*w - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(r) = r**2 - 4*r. Let t be m(5). Suppose 6*s - 4*s + 10 = 4*y, 0 = 2*s - 3*y + 12. Let c be (7 + 6\/s*3)*1. Solve t*i - c*l = -5, 3*l - 2 + 14 = -2*i for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -1432*x = -1416*x - 56432. List the prime factors of x.\nAnswer: 3527","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4*9.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = 5*d**3 - 5*d**2 - 3*d. Let n(c) = -6*c**3 + 6*c**2 + 4*c - 1. Let r(i) = i**2 - 25*i + 104. Let w be r(20). Calculate w*m(h) + 3*n(h).\nAnswer: 2*h**3 - 2*h**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 7, d: 3, i: 2}. Give prob of picking 2 i and 1 d.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*z + 3*z - 2*o = 21, 2*o + 28 = -4*z. Let u = z - -17. What is the highest common divisor of 110 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 115992 and 1969.\nAnswer: 1275912","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence pg when two letters picked without replacement from {g: 2, p: 1, c: 7, q: 2, w: 1, e: 2}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3738 - 14979 + 4637)*(2*k + k - 2*k).\nAnswer: -14080*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1043459648.\nAnswer: 2, 7, 11, 211741","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -82477620 rounded to the nearest one million?\nAnswer: -82000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -3*l - 18 - 63. Suppose -5*s = -5*w + 170, -2*s = 3*w + 23 + 55. Let r = l - s. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.234445 rounded to 1 decimal place?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = -5*r + 7. Let y(g) = 5*g + 3 - 11*g + 4*g. Let q(t) = 6*c(t) - 14*y(t). What is q(3)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 19 + -29. Let g be 8\/62*(9 + -4)\/s. Suppose -5 = 4*n - 1. Which is bigger: g or n?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i + 0*j + 16 = -3*j, 0 = i - j - 2. Let d be 0\/(-6)*i\/(-2). Suppose d = 6*q - 2*q - 28. What is the least common multiple of q and 10?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 37*c - 36*c + 85*c + 1204 for c.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1457?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 1 in 0.07, -0.3, -0.5?\nAnswer: 0.07","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.1, -1.3, 5, 0.1 in decreasing order.\nAnswer: 5, 0.1, -0.1, -1.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 510208?\nAnswer: 2, 1993","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 64677739?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 22 and 990420.\nAnswer: 10894620","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8 + 1 = -3*j. Let a be j\/(9\/12) - -1. Let v = a + 4. Calculate the greatest common factor of v and 1.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -251*k + 4262. Give b(17).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 982464175?\nAnswer: 5, 7, 11, 29, 17599","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is three fifths of a hour in seconds?\nAnswer: 2160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 3966470759 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-1)\/22 + 109\/2398. Let d(h) be the second derivative of 6*h + h**2 - 1\/3*h**3 - 1\/6*h**4 + w + 1\/10*h**5. Factor d(z).\nAnswer: 2*(z - 1)**2*(z + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1136187.084 to the nearest 10000.\nAnswer: -1140000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 312 = 2*q. Does 13 divide q?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 n when two letters picked without replacement from cccccnncnc?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(171) + -5 + sqrt(171) + 1)**2.\nAnswer: -48*sqrt(19) + 700","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 229289 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes before 5:08 AM?\nAnswer: 3:21 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 150 + -148. Let t(k) = 26*k - 42. What is the remainder when t(m) is divided by 8?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(n) = n**3 - 3*n**2 - 7*n - 1. Let m be z(-2). Let g be 99 - (3 - (-5 - m))*-5. Calculate the highest common factor of g and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f, 1 s, and 1 v when three letters picked without replacement from ssvhfcvvssvfvsfvvvff?\nAnswer: 10\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 232, 204, 156, 88, 0, -108?\nAnswer: -236","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-10*f**3 + 3*f**3 - 2*f**3)*(-f + 2*f**2 + 48 - 3*f - 53).\nAnswer: -18*f**5 + 36*f**4 + 45*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 103\/290 and 35\/348.\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*f + 171 + 59 = 0. Let q be f\/(-16) + (5 - 2). Suppose -2*z + 3 = 1. Which is smaller: q or z?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 57 a multiple of 3?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c + 3 = 2*s, 21 = 5*s - c - c. Let f(x) = -x**2 + 6*x + 10. Let v be f(7). Let t = v + s. What is the least common multiple of 14 and t?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(x) = -4*x**3 + 84*x - 82*x + 3*x**3. Let z(y) = 5*y**3 - 11*y. Determine 11*g(r) + 2*z(r).\nAnswer: -r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p(d) be the second derivative of d**4\/6 - 563*d + 1. Let q(b) = b - 4. Let r be q(6). Let a(g) = -4*g**r + 3*g**2 + 0*g**2. What is a(p(t))?\nAnswer: -4*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -q**2 + 7*q - 10. Let f be w(4). Suppose -f*t + 150 - 2090 = 0. What is t rounded to the nearest one thousand?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 68482*w - 68538*w - l + 4 = 0, -8 = 3*w - 2*l for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = b - 4. Let p be x(9). Solve p*y = y - 12 for y.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -12 + 6 + (7 - 0)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/11 (b) 0.0295 (c) -7282\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -113223 + 0?\nAnswer: -113223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 12259702573 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 937420?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 451 and 82.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -4*l - 51. Determine u(-10).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 11\/4 of a litre in millilitres?\nAnswer: 2750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3 + 1 + 0)*(-2650 - 5*k + 42*k - 39*k) to d + u*k and give u.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 368428*q*s*x - 28*q*s - 4*q - s*x + s - 6 wrt x.\nAnswer: 368428*q*s - s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, a: 2, v: 2, g: 1}. What is prob of sequence vv?\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert -9556 (base 10) to base 9.\nAnswer: -14087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (64\/(-12))\/((-2)\/(-6)). Let n = 0 - w. Calculate the least common multiple of 24 and n.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 1.3 + -0.5. Which is smaller: m or 41?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3*y - 15*y + 6*y)*(0*y + 2*y + 0*y) in the form o*y**2 + j*y + l and give o.\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Expand h - 4 + 4 + (-44 + 41 + 89)*(48*h + 27*h + 69*h).\nAnswer: 12385*h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the rth term of -2174, -4238, -6302, -8366, -10430?\n\"Answer: -2064*r - 110","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 661 + -659. Suppose 29*b = m*b + 26568. What are the prime factors of b?\nAnswer: 2, 3, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1890 and 57995.\nAnswer: 3131730","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 364, 189, -104, -515, -1044?\n\"Answer: -59*t**2 + 2*t + 421","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-20)\/55 - (-1029)\/77.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is -203 <= 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -10 + 5. What is the closest to -1\/3 in -0.2, 2\/5, x?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nbfr when four letters picked without replacement from {s: 1, r: 1, b: 2, w: 1, f: 2, n: 1}.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: (11 + -9)*2*-1\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -37*c**3 + 12*c**2 + 4*c + 7*c**2 + c - 9*c. Let z(n) = n**3 + n. Let f(r) = u(r) + 4*z(r). Find the third derivative of f(w) wrt w.\nAnswer: -198","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*q = 127*u - 126*u + 5, -4*u = 4*q - 4 for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:32 PM and 1:42 AM?\nAnswer: 670","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort -29, -1, 128, -17, 4 in increasing order.\nAnswer: -29, -17, -1, 4, 128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = 236*a. Let k(v) = -29*v**2. Determine k(s(t)).\nAnswer: -1615184*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**8*i\/(i\/(i\/i**(9\/2))))**(-1\/72)\/((i\/i**0*i**(1\/2)\/i)\/(i**(2\/7)\/(i*(i**0*i*i)\/i*i))) assuming i is positive.\nAnswer: i**(-367\/112)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 7155870.\nAnswer: 2, 3, 5, 238529","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 9*z + 119 - 443. What is the remainder when 209 is divided by z?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((-2*sqrt(91) + sqrt(91))*3 - sqrt(91)) + sqrt(91) - sqrt(91))\/(sqrt(7) + 6*sqrt(63)).\nAnswer: -4*sqrt(13)\/19","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + 9 - (1 + 5)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 18, 5, -8, -21?\n\"Answer: -13*x + 31","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-3 - 0) + 100\/30. Let s be -1 + 2*33\/90. Does w = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q = -0*q - 5*m - 40, 4*m + 8 = 0. Let i be 16\/(-72) + 2\/9. Let u(f) = -f + 5. Let o be u(i). What is the highest common factor of o and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -119.05357 and 1.8.\nAnswer: -214.296426","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -114.0047 + 114. Round o to 3 decimal places.\nAnswer: -0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.92 + -0.08. Let a = -1\/2 + 1\/4. What is the nearest to -1\/8 in 1\/7, a, i?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from ixaxixxaxaaixm. Give prob of picking 1 a, 1 m, and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 310\/(-40) - (-8)\/(-5 - -6)?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 449336709?\nAnswer: 3, 197, 253433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 0 or 16\/67?\nAnswer: 16\/67","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 4*b - 5*q + 5, -5*q - 15 = 0. Suppose -s + b = 3. What is the units digit of s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) 146\/13 (b) 0.18 (c) -1 (d) 100 (e) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 3463054253 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -10*w + 5*w + 65. Suppose -5*c = i - w, -i = -2*c - c + 19. Is -7 less than or equal to i?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*s + 2*s - 22. Let f(i) be the first derivative of -i**3\/3 - 7*i**2 - 15*i - 7. Let q be f(s). Calculate the highest common factor of 2 and q.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((18 - 9*r - 18)*(-4 + 3 + 9) + 5*r - 2*r - 2*r)*(3 - 3 + 2*r).\nAnswer: -142*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(l) = -l + 0*l - 2*l. Let p(w) = w. Suppose -m - c = -15, 2*c - 3*c - 37 = -3*m. Calculate m*p(f) + 6*i(f).\nAnswer: -5*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*i - 10 = -0*i. Suppose i*d + 31 - 81 = 0. List the prime factors of d.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 times 663\nAnswer: -2652","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is ((19380\/(-153))\/(-38))\/(0 + (-2)\/(-3747)) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (3 + -3 - 0) + 8\/2. Solve m*j + 1 + 3 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -2\/3, 0, 0.5, -306?\nAnswer: -306","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express 76870*m**2 - 76870*m**2 - 6941*m**3 + (4*m - 3*m + m)*(m**2 - m**2 - 2*m**2) as r*m**2 + p + f*m + h*m**3 and give h.\nAnswer: -6945","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(m) = -9*m**3 + m**2 + 19*m - 19. Let q(k) = 5*k**3 - 10*k + 10. Let x(u) = -6*f(u) - 11*q(u). Suppose 3*z + o + 9 = -10, o = -2*z - 14. Give x(z).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = 195*q - 3820. Calculate z(10).\nAnswer: -1870","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(-2 + (sqrt(180)*2 - sqrt(180)) - sqrt(180) - 2*(1 + sqrt(180)))**2*2.\nAnswer: 576*sqrt(5) + 4416","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Product of -45240599 and -3.\nAnswer: 135721797","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -0.4 + -89.6. Let h = o + 89.8. Let m = 14 + -6. Which is the biggest value? (a) 1 (b) m (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3518500 rounded to the nearest 100000?\nAnswer: 3500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -82\/105 and 31\/740.\nAnswer: 15540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: -60 divided by 7725939\nAnswer: -20\/2575313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (15\/(-105))\/((-2)\/(-7))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*m - 22 = -5*o + 1, m - 4 = 0. Suppose 12 = l + 3*i, 5*l - o = -i + 39. What is the greatest common factor of l and 36?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-204)\/(-6) - (3 - -6). Suppose -p = -0*p + 1. Which is greater: v or p?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*w - 4*w - 45. Let l be 4\/((-12)\/105*w). Solve 0 = 2*x - l*x - 15 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (9 - 9 + k**3)*(-1 + 1 - 2) + (19 - 19 - 13*k)*(-8*k**2 - 2*k**2 - k**2).\nAnswer: 141*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is -4 times 4464?\nAnswer: -17856","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 39 + -505\/13. Let y = 0.334 - -15.966. Let q = -11.3 + y. What is the closest to -3\/2 in 4, q, z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -46, -101, -156?\nAnswer: -211","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -15*(-1)\/(-30)*(-4)\/1*2.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -4 - -7. Suppose -7*y + 232 = -j*y. What is the remainder when y is divided by 15?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 4*p + 24 + 2 = 0, 0 = -5*r + 2*p + 18. Factor 3*s**r + 9\/2*s + 0.\nAnswer: 3*s*(2*s + 3)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 300 a factor of 1006800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -14804 + 14837. Sort 9\/7, -0.1, t, 1\/8 in increasing order.\nAnswer: -0.1, 1\/8, 9\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(f) = -f. Let n be q(-4). Suppose 2*k = 5*j - 12, n*j + 1 = 2*k + 11. Suppose j*t + t = 12. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2147.4 - -3488899?\nAnswer: 3491046.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let b(r) = -r**2 + 6*r - 9. Let z be b(9). Let j = z + 39. Suppose -j + 18 = 3*s. Solve -3 = 2*o + s for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 21 + (-15 - 4) + (37 - 24)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -204.29 - -221.063. What is j rounded to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -3221 + 3220.6. Which is the nearest to 0? (a) -1\/1839 (b) h (c) 2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (35\/(3325\/(-5)))\/((-1)\/(-2*1))?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 77 and 150838974.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -5 + 3 + (4 - (-2 - -4))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Round -341414.1892 to the nearest one thousand.\nAnswer: -341000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 0 + 578*j**3 + 2 - 1118*j**3 + 653*j**3.\nAnswer: 113*j**3 + 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 0, -14, -22, -11, -915.\nAnswer: -915, -22, -14, -11, -3, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -2 - -3. Let n be 87\/(-14)*f\/3. Let s = n + 4\/7. Which is the third smallest value? (a) 0.5 (b) s (c) 1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -72 - 54324?\nAnswer: -54396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(g) = 16*g**2 + 3*g + 1. Let q be k(-1). Suppose -y - 9 = -3*p, 0*p - 4*y = 2*p - 6. Solve -q - 1 = p*v for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(s) = -5*s - 51. Determine p(-12).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = 2*m**3 + 75*m**2 - 41*m - 102. Let d be y(-38). Solve -f - 25 = -5*p, d*f = -p + 11*f + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 + (3 + -12 - -9)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 + o**3 - 1 - 5*o**2)*(5*o**2 - o**2 - 2*o**2 - o**2 - 5 + 5 + (3*o - 4*o + 0*o)*(2*o + 4*o - 4*o)).\nAnswer: -o**5 + 5*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6, 31, 128, 315, 622?\nAnswer: 1079","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -44 - -48 - (4 - 7) - (8 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 125 a factor of 92875?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 4782 and 184904.\nAnswer: 554712","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 take away 93083489449819?\nAnswer: -93083489449819","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 126\/(-588) - (-16470)\/28 - 3. Calculate the highest common factor of 2115 and m.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8 and 32768?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 y when two letters picked without replacement from {y: 3, t: 2, s: 3, o: 1, j: 1, w: 1}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 1582229 a multiple of 83?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 w when four letters picked without replacement from {m: 3, w: 4}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (1 - 6) + -31 - (47 + -56) - 6.\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*c - m = -5*m + 203, -2*c - 4*m + 138 = 0. Suppose u + 0 = 4. Suppose -u*a + c = a. What is the units digit of a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r**(1\/2)*r)\/r**(-7))\/(r**9\/r**(3\/8)) assuming r is positive.\nAnswer: r**(-1\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 76 is divided by 59?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = 16*k. Let z(f) = 5*f. Suppose 3*n + 24 = -6. Let x = 5 - 2. Let g(v) = n*z(v) + x*y(v). Let s(m) = m**2. Calculate s(g(r)).\nAnswer: 4*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -0.06 - 31643.5\nAnswer: -31643.56","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4 - 34*p**3 + 28*p**3 + 4.\nAnswer: -6*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -283 divided by 1689?\nAnswer: -283\/1689","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -39 + 90. What is the remainder when 457 is divided by d?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 3967234?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9975 or 9977?\nAnswer: 9975","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 234966 is divided by 2346?\nAnswer: 366","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 260 minutes before 9:44 PM?\nAnswer: 5:24 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {m: 1, b: 2, d: 1, f: 4, i: 1}. What is prob of sequence fim?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let j(h) = -4*h + 2. Let o be ((-2)\/(-8))\/((-2)\/(-16)). Let x(p) = -o*p + 0*p + p. Give -j(k) + 3*x(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -1112 + (-3)\/6*2. Let y be b\/(-14)*(0 - -2). Suppose 4*u + 3*w - 105 = 2*u, -3*u + y = 5*w. Calculate the highest common divisor of 12 and u.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor c**3\/8 - 2013*c**2\/8 + 396927*c\/8 + 1208925\/8.\nAnswer: (c - 1791)*(c - 225)*(c + 3)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -103.0398 rounded to zero dps?\nAnswer: -103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h be ((-261)\/6 + 2)*-28. Suppose -2*l - 4*o = -764, 4*o = -3*l + 2*o + h. What is l rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 868485 to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 37442 > 37453?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Express ((-3 + 1 + 3)*(4 - 4 - 2) + 5 + 9 - 7)*(-3*v - 5*v + v) as j*v + g and give j.\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(v) = -v**3 - 8*v**2 + 7*v - 50. Let g be u(-10). Calculate the greatest common factor of 215 and g.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1610, -3224, -4838?\nAnswer: -6452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) = -5*u - 2. Let s(m) = -4*m - 3. Let b(z) = -4*s(z) + 3*y(z). Let g be b(-2). Solve 3*l + 3*q - 1 = -4, -g*l + 8 = -2*q for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 16 a factor of 50653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, -1\/4, 2, 1 in ascending order.\nAnswer: -0.3, -1\/4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0010448 to four dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 208 + -202. Solve 3*d - h = 9*d for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred millions digit of 2233073149?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - 8c?\nAnswer: -90","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 551*f - 4264 + 12979 - 17689 = 42820 for f.\nAnswer: 94","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 5180973605 + -5629069645.4. Let m = 448095983.40000186 + t. Let i = 57 + m. What is i rounded to 7 dps?\nAnswer: 0.0000019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -3 + -3. Let v = z + 7. Which is the nearest to v? (a) 1\/4 (b) -1\/3 (c) -2\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -101 + -2011323?\nAnswer: -2011424","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from kvkkkkvvckpvkvvpckc. What is prob of sequence kvk?\nAnswer: 56\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -8700280 or -8700256?\nAnswer: -8700256","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 17*j + 58. Which is the closest to 0.1? (a) j (b) -2\/7 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z be (7 - 35\/15)*6\/7. Let o = -8 - -14. Suppose o*t = t. Sort t, 1, z in descending order.\nAnswer: z, 1, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from evvvevvvvvve. What is prob of picking 1 e and 2 v?\nAnswer: 27\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43653.\nAnswer: 3, 14551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/(-14) - (-17)\/((-221)\/(-65))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 138 + (-8 - (-8 + -2 - ((-1 - 2) + -1)))?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.3? (a) 8\/5 (b) 5\/2 (c) -7\/6 (d) -0.7\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let r(s) = 40*s**3 + 50*s**2 - 50*s - 50. Let p(b) = -6*b - b**3 + 17*b - b**2 - 10*b + 555 - 554. Give 100*p(h) + 2*r(h).\nAnswer: -20*h**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 6*(1 - (1 - 1)). Suppose -395 = -o*m + m. Is m + 3 - -2 - -3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten millions digit of 236283754?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6638, -7075, -7512, -7949, -8386, -8823?\nAnswer: -9260","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -2*y + 4. Suppose -85 = -y*g + 123. Let r = g - 34. What is the remainder when 69 is divided by r?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -4*r**3 + 166*r**2 - 247*r + 6529. What is z(41)?\nAnswer: -236","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 6155689357 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Expand -3*c**4 + 2*c**4 + 0*c - 2*c + 2 - 3*c**4 - 2 + (2*c**2 - c**2 - 4*c**2)*(-6 + c**2 + 6).\nAnswer: -7*c**4 - 2*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 167158?\nAnswer: 2, 83579","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) = -2*w**2 + 18*w + 70. Determine d(12).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p be ((-136)\/(-24))\/((-1)\/(-3)). Suppose 7 - p = 2*r. Find the common denominator of (-2 - 1) + (-56)\/r and 39\/11.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.2 and -63482115.\nAnswer: -63482114.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is (-40)\/(-8)*(-280)\/(-56)?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in n**2 + 27716973 - 188*n**3 - 27716973.\nAnswer: -188*n**3 + n**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 4*x - 118 = 18, 3*x - 6 = 0. What is the remainder when (v\/64)\/((5\/172)\/5) is divided by 26?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 13343575?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 352 and 88?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-282)\/(-987) - (2 + -6 + 621\/140).\nAnswer: -3\/20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -4*h - 316*z + 317*z - 23, -2*h + 4*h + 3*z - 6 = z for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 93 is divided by 48?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is -153.1832 rounded to the nearest ten?\nAnswer: -150","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -224 + 728. List the prime factors of g.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -3 (base 6) in base 14?\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand 9*p**3 + 9*p**3 - 3*p**3 - 2*p + (-2 - p**3 + 2)*(8 + 14 + 3) + 3*p**2 + 2*p**3 - 3*p**2.\nAnswer: -8*p**3 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.7035745 milligrams to micrograms.\nAnswer: 703.5745","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -28\/3 - -115\/12. Let o = -2\/767 - -1544\/3835. Sort u, o, -2\/17.\nAnswer: -2\/17, u, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (2*-2)\/((-29)\/(232\/(-16)))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 7 - -2. Let l = v - 5. Does 4 divide 90\/4*l\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((z*z**(1\/5))**(-1\/24))**(-22))**9 assuming z is positive.\nAnswer: z**(99\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 3*a**3 + 5*a - 9. Let b be 3 - (2 - 1 - 1). Let u = b + 0. Let n(c) = 3*c + c**3 + 2*c - 6 + 2 - u*c. Calculate 2*j(k) - 5*n(k).\nAnswer: k**3 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 183\/1378 - 5\/53. Which is the closest to p? (a) -26 (b) 4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 3458?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let z(j) = -34*j - 201. Calculate z(-10).\nAnswer: 139","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 0.4 - 6.9. Let q = -6.6 - f. Which is the smallest value? (a) 1 (b) q (c) -3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3902399 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -307 + 752 - 249*q**2 - 445.\nAnswer: -249*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d - 4*f - 24 = f, -5*d - 3*f - 20 = 0. Let q be (-4)\/(-3) - d\/(-3). What are the prime factors of (3 - -2 - -2) + q?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 389 is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1.1, 3, -2 in decreasing order.\nAnswer: 3, 1.1, 0, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 10 + -6 + 2 + -3.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5240*x**2 + 158*x**3 - 5240*x**2 - 42*x**3.\nAnswer: 116*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -1.6, 0, -3\/2, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -3930 by -3.\nAnswer: 1310","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q(d) be the third derivative of -3 + 11*d**2 - 1\/240*d**5 - 1\/16*d**4 + 0*d + 2\/3*d**3. Factor q(m).\nAnswer: -(m - 2)*(m + 8)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15541004 (base 7) to base 12\nAnswer: -607492","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is ((20\/35)\/4)\/(1\/(-2))?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 84 and 32481582?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1\/8)\/(i\/((i\/(i**9*i))\/i)))**7 assuming i is positive.\nAnswer: i**(-623\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.054 + -0.046. Sort -1\/11, t, 4, 0.16.\nAnswer: t, -1\/11, 0.16, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*q - 3*r = 5*q + 277, 5*q + r + 279 = 0. Let m = -28 - q. What is the units digit of m?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(136) + (sqrt(136) - sqrt(136)*3 - sqrt(136) - sqrt(136))*4 - (6*(-3*sqrt(136) + sqrt(136)) - sqrt(136)))\/((sqrt(72)*-1 + 5*sqrt(40)\/sqrt(5))*4).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -3*a**4 + 2*a**4 - 31 + 33 with respect to a.\nAnswer: -4*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = s**4 - s**2 + 3*s + 1. Let t(y) = 4*y**4 - 50*y**3 - 182*y**2 - 150*y + 6. Let q(m) = 6*b(m) - t(m). Factor q(z).\nAnswer: 2*z*(z + 2)**2*(z + 21)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u + 2*v = -372, 2*v = -5*u + 3*u - 246. Let b = u - -278. Let s = 290 - b. What is the hundreds digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 948 and 2643972?\nAnswer: 948","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Factor 3*t**3 - 1691*t**2 + 199701*t + 66755.\nAnswer: (t - 395)*(t - 169)*(3*t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -1.6359 rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.04? (a) -6 (b) -2\/63 (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(o) = 3*o**2 + 10*o + 15. Let i(m) = -2*m**2 - 6*m - 9. Let p(f) = 5*i(f) + 3*v(f). Let b(c) = c**2 - 66. What is p(b(a))?\nAnswer: -a**4 + 132*a**2 - 4356","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 118 - 112. Do b and 0.5 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 2*w**2. Let y = 370 - 142. Let h(c) = -23 - 25 - y*c - 26 + 75. Calculate k(h(q)).\nAnswer: 103968*q**2 - 912*q + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let m(t) = -4*t**3 - 125*t**2 - 2595*t - 4. List the prime factors of m(-18).\nAnswer: 2, 14767","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = -13*k + 78. Let u(n) = 2*n. Let o(s) = a(s) + 13*u(s). Let g be o(-6). Solve 2*m - 2 = -g for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -2370720, -2370707, -2370694, -2370681?\n\"Answer: 13*k - 2370733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 2214434 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -21 - -54. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from sssssssszzzszzszsss. Give prob of picking 2 z.\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1045?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 141 and 24?\nAnswer: 1128","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 2 h when three letters picked without replacement from {h: 2, e: 3, k: 4}.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 2*n - 12 = 0. Let o be (1 + (n - 0))\/2. Put 0, -1, o in decreasing order.\nAnswer: o, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -28*u + 329 = 385 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is -122 minus -2.5?\nAnswer: -119.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 222 - -2232131?\nAnswer: 2233013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*k - 3971 = 1551. Is k a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1\/3)\/(((-28)\/72)\/7)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0 or 2\/981?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -42, -247, -452, -657, -862, -1067?\n\"Answer: -205*y + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*o = 2*o + b - 1742, 3*o = -2*b + 2615. List the prime factors of o.\nAnswer: 11, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 2*-2*(((sqrt(80)*-2)\/sqrt(4))\/(sqrt(120)\/(sqrt(36)\/sqrt(3))) - (sqrt(8) - sqrt(288) - (sqrt(2) - -2*sqrt(8)\/sqrt(4)))**2).\nAnswer: 8*sqrt(2) + 1352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.116 times -44.845?\nAnswer: -5.20202","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -8*u + 4*u = -5*t - 35, 0 = -t - 5*u + 22 for t.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 2 - (-2 + -1) - 0 - (-193 + 215).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -116 + 137. Find the second derivative of -m - 18*m**4 + 4*m + x*m wrt m.\nAnswer: -216*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -h**2 - 5*h**4 + 30*h**3 - 4*h**4 + 2 + 0 + 23*h**4 - 12*h**4 as i*h + x + l*h**2 + n*h**4 + f*h**3 and give x.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Factor -5*g**4 - 50*g**3 + 515*g**2 + 560*g.\nAnswer: -5*g*(g - 7)*(g + 1)*(g + 16)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 5.473 + -5.47294997. Round k to 6 decimal places.\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 174 - 158. Let x be 0 + 3\/1*1. Solve o = -x*o + b for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 374723 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 6613, 13223, 19833, 26443, 33053, 39663?\nAnswer: 46273","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -32211 + 11313?\nAnswer: -20232","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p\/p**(2\/41))\/(p*p\/p**43) assuming p is positive.\nAnswer: p**(1720\/41)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 15550*j - 4123 + 1371 + 1379 + 1373 to g*j + c and give g.\nAnswer: 15550","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 1583*l**3 - 2*l**2 + 7*l - 184?\nAnswer: 9498","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is -4\/545 at least 1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by -331092.\nAnswer: -1\/82773","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 201, 791, 1773, 3147?\n\"Answer: 196*c**2 + 2*c + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 21.4524 - 21.275281. Let k = -343 - -342.823. Let f = a + k. What is f rounded to five decimal places?\nAnswer: 0.00012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*g + 355 + 139 = 0 for g.\nAnswer: -38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Is 375199 less than 375196?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 19 a factor of 410011751?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 656 and 15498.\nAnswer: 82","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 2*c + j - 29, 4855*c = 4851*c + 5*j - 103 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 (base 10) in base 7?\nAnswer: 253","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(w) = -w**2 - w - 3. Let i be x(0). Let d = 0.06 + -0.56. Which is the second smallest value? (a) d (b) i (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (10 - 5)\/(-5)*0?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*x**2 - 3*x**3 + 2*x**2 + (0*x - 2*x + x)*(5*x**2 - 2*x**2 - 5*x**2) - 2*x**2 + 2*x**2 - 5*x**3)*(-4*x**2 + 4*x**2 + x**2).\nAnswer: -6*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 11598765 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let s(j) = j**3 - 69*j**2 - 2591*j - 33. Calculate s(96).\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_test"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-8)\/((-392)\/(-7)))\/(1\/(-7))*-15.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 55 is divided by 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 3:15 PM and 10:03 PM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -0.13, -0.3, 2?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 5.23258m?\nAnswer: 5232580","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 44 - 44 - 58479466187*p**3 + 58479466186*p**3.\nAnswer: -p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 10*w - 3. Suppose 0*x - 3*x + 6 = 0. Let d be v(x). Suppose 3*i - d = -5*k, -2 - 3 = 5*i. Solve 0*h + k*h = -16 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 1098842 and 0.197.\nAnswer: 216471.874","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put together 14 and 40.\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence nlo when three letters picked without replacement from {t: 1, k: 1, o: 3, l: 1, n: 1}.\nAnswer: 1\/70","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of 33373, 33377, 33383, 33391, 33401, 33413?\n\"Answer: x**2 + x + 33371","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is -126961 rounded to the nearest 10000?\nAnswer: -130000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.0001423 rounded to five dps?\nAnswer: 0.00014","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) = -11*m. Let y(h) = -41*h. What is y(l(r))?\nAnswer: 451*r","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(sqrt(1088)*1*-6 + -4 + 5*(-3 + sqrt(1088) + 0 - sqrt(1088)) + -2) + -5)**2.\nAnswer: 1536*sqrt(17) + 39424","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 20*r - 4582 = 1758. What are the prime factors of r?\nAnswer: 317","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1102001101 (base 3) in base 11?\nAnswer: -19928","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*j = 2*j + 3*m - 194, j + 3*m = 46. Suppose -4 = 10*z - 8*z - 4*c, -3*c = -5*z - 38. Let i = z + j. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = 5 - 4*u**2 + u**3 + 5*u**2 + 4*u**2 + 3*u. Let g(n) = n**2 - n + 2. Let h be g(0). Suppose h*o - 10 = 4*o. Give q(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.21193 take away -4972?\nAnswer: 4972.21193","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 4\/11? (a) 0 (b) -1 (c) -0.99 (d) -188 (e) -33 (f) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 10746172, 21492358, 32238544?\nAnswer: 42984730","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -128157 + 384472\/3. Suppose -2 + 1\/3*v**2 + o*v = 0. Calculate v.\nAnswer: -3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 1.370034 + -1.37. Round r to five decimal places.\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 43*k - 69380 = 299130. What is the thousands digit of k?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 22173715093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*l - 990 = 5*k, 0 = -4*l + 3*k + 112 + 683. Is 9 a factor of l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 366 + 37*l**2 - 366 + 409*l**2.\nAnswer: 446*l**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 27 (base 13) in base 8?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 2582915 a multiple of 36?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.052, 13\/5, 5?\nAnswer: -0.052","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m + 12*m - 9*m + 11. Let i be y(8). What is the second derivative of 3 - 3 - i*z + 9*z + 6*z**4 wrt z?\nAnswer: 72*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9 + 3*c + 1 - 2 - 2*c.\nAnswer: c - 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 364 divided by 120111\nAnswer: 364\/120111","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 23*h - 88 = 12*h. Differentiate 243 - 6*n**2 + h*n**2 - 739*n + 674*n wrt n.\nAnswer: 4*n - 65","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 3\/707 + -1453\/9191. Which is the nearest to 45? (a) -1\/6 (b) -1\/5 (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 51*p**2 + 359*p + 14.\nAnswer: (p + 7)*(51*p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-n**3 - 2*n**3 + n**3)*(2 - n - 2)*(211 - 19 - 33).\nAnswer: 318*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -4542*n + 7054*n + 26674*n.\nAnswer: 29186*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -67\/19565 and -79\/7143955.\nAnswer: 307190065","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 1 c when two letters picked without replacement from ctudgdtccuuttcuc?\nAnswer: 1\/24","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1841601 = 14190*x + 2401*x for x.\nAnswer: -111","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*m + 12 = 4*m. Suppose 3*o = -o - m*s + 13, 5*s = -3*o + 18. Let p(i) = i + 1. Let d be p(3). What is the highest common divisor of d and o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 459365.\nAnswer: 5, 91873","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Expand 3 - 3 + o**4 + 0*o**2 + 2*o**4 + 0*o**2 + (3*o**2 - 3*o**2 + 2*o**2)*(2*o**2 - 5*o**2 + 4*o**2) - 2*o**2 + 2*o**2 + 2*o**4 + 4*o**4 - 4*o**4 - 3*o**4.\nAnswer: 4*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 85 = -4*n, 5*n - 75 = -k + 6*k. Solve 3*w + n = -2*w for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(j) = j**2 - 10*j + 20. Let i be b(11). Suppose 3*v = 2*g - 82, 4 = 2*g - 0. Let k = v + i. Solve -2*m + m = k for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h**3 + 4*h**3 - 18*h**3 + 9*h**3 + 25*h**3.\nAnswer: 22*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -17 + 10. Let b = -5 - j. What is the first derivative of -9 + 2*t**b + t**2 + 8 wrt t?\nAnswer: 6*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 7\/4853 and -7\/2110.\nAnswer: 48530","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -14*n**2 - 4*n - 2. Let y(c) = c**2 + c - 1. Let k(s) = -r(s) - 4*y(s). What is the derivative of k(g) wrt g?\nAnswer: 20*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 214393.\nAnswer: 269, 797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -6 + -18834?\nAnswer: -1883a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -44.2983 + -0.5917. Let f = x + 45. Let q = f - 0.41. Which is the closest to -2\/5? (a) -3 (b) q (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -73 - 21 = -2*d. Suppose v + v = 4*x - 144, x - d = -5*v. Does 9 divide x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = i - 2*i - 4. Suppose 2*z = -0*z - 18. Let p = z + 4. Put p, 2, i in descending order.\nAnswer: 2, i, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 9*q**2 + 8*q - 13*q + 1 + 236*q**3 - 249*q**3 + 5*q in the form s*q**3 + f*q + g + d*q**2 and give s.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1, 12, -3, -12, 2, 210.\nAnswer: -12, -3, 1, 2, 12, 210","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let w(l) = -6*l**2. Let u(g) = -21*g - 4 + 4 + 23*g. What is u(w(f))?\nAnswer: -12*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -6432 + 4232. List the prime factors of ((-2)\/5)\/(20\/t).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + ((sqrt(65)*-2 + sqrt(65))*-1*1*2)\/((sqrt(15) + (sqrt(960)*-2 - sqrt(15)))\/(2*sqrt(48))).\nAnswer: -5 - sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = i**3 + 13*i**2 + 13*i + 9. Let u be x(-12). What are the prime factors of (-2 - u - 0) + -4 + 330?\nAnswer: 3, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -6537 - -6540. Let z be (3 + -2)\/(17\/(-2)). Which is bigger: v or z?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 13196.1 rounded to the nearest 1000?\nAnswer: 13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-12 - -1)*(-1)\/(-1). Let x = -12 - p. Which is bigger: 1 or x?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*k + 31 = -3*l + 3*k, -5*l - 3*k = 63. Let b be (-5 - -1 - (0 + -5))*-7. Let m = b - l. Solve 0 + 5 = -2*n + q, -m*n = -4*q + 17 for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 7206 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = -6*m - 17. Let p be o(-7). Let a = 26 - p. Solve 4*j = -a - 3 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t be 189\/(-315)*(0 + 570). Which is the second smallest value? (a) t (b) -3 (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 130*o**2 - 184 + 184 - 458*o**2 as h*o + c + y*o**2 and give y.\nAnswer: -328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -27\/1148 and -47\/74200980.\nAnswer: 74200980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -27 - -53. Let f = 45 - u. Let q = f + -18.7. Which is the smallest value? (a) 3 (b) -2\/17 (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -3\/14, -1924, -0.315?\nAnswer: -1924","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1246 is divided by 156?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 75\/21416 and 61\/10708?\nAnswer: 21416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14191 is divided by 71.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from jjijjjijijjjjiijjjj. What is prob of picking 1 i and 1 j?\nAnswer: 70\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 89987232 to the nearest integer?\nAnswer: 448","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 80030 and 583?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 26516308 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/4 of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be (-140)\/60 + 1058\/447. Which is smaller: s or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -7145005\/96 - -74428. Calculate the common denominator of l and 101\/1536.\nAnswer: 1536","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 22760460 or 22760461?\nAnswer: 22760461","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10180*w**2 + 2377*w + 2 wrt w?\nAnswer: -20360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: -2134 (base 6) to base 7\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -10059*n**3 + 4767*n?\nAnswer: -60354*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 2, b: 6, u: 5}. Give prob of sequence uu.\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -269*i**2. Let x(p) = p. Give x(a(f)).\nAnswer: -269*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Convert 367312.9 years to centuries.\nAnswer: 3673.129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 14\/2848053 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x**5 + 5670*x**4 - 224046*x**3 + 3167088*x**2 - 19219725*x + 42534450 = 0. What is x?\nAnswer: -1929, 7, 10, 15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f + 29 = f - r, 0 = -r + 1. Suppose -64*u + 59*u = 160. Let l be u\/12*15\/(-20). Solve -2*t + f = 2*d - 4*d, -l*d - 14 = -4*t for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.0052 or 0?\nAnswer: -0.0052","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor 166*i**2 - 1828*i + 22.\nAnswer: 2*(i - 11)*(83*i - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 113 is divided by 20?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 61, 189, 385, 661, 1029, 1501?\n\"Answer: 2*g**3 + 22*g**2 + 48*g - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -2*a**4*i - 3*a**4 + 8*a**3*i - 1109*a**3 + 2*a**2*i + 2*a**2 + 2070*a*i - 8*a + 22 wrt a?\nAnswer: -48*a*i - 72*a + 48*i - 6654","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27 = 7*w - 174. What is the remainder when w is divided by 8?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -0.2 + -0.2. Let x = q - -0.3. Let p be 32\/14 - (-4)\/(-14). Which is the biggest value? (a) -1\/3 (b) p (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -18046 - -18052. Let w(x) = -20*x - 35. Let v(d) = -7*d - 12. What is h*w(l) - 17*v(l)?\nAnswer: -l - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -5*f**2 + 16*f - 4. Let t(a) = -14*a**2 + 47*a - 13. Let l(x) = -11*s(x) + 4*t(x). Let v be l(14). Which is smaller: -35 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 337164 is divided by 112353.\nAnswer: 105","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*t - 70 + 54 = 0 for t.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/(-9)*54\/36?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4 - (683*-17 - (-81 - -74))?\nAnswer: 2, 1451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8\/80*-4*1?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -548 by 33.\nAnswer: -548\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = 2*f. Let c(k) = 1944*k + 16. What is c(l(y))?\nAnswer: 3888*y + 16","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -b**2*m + 153*b**2 + 9271*b*m + 332*b + 5*m + 2 wrt m?\nAnswer: -b**2 + 9271*b + 5","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 94.97 - 83.97. Which is the biggest value? (a) -5\/2 (b) i (c) -8 (d) 0.1 (e) 1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.0714942+-0.2\nAnswer: -0.2714942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -2\/3, 61, -23?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 58 = 3*m + 51 - 50, 2*k + 4*k + 2*m - 75 = -m for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -4 and 1.3087?\nAnswer: -5.2348","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -251428.9877 to the nearest one hundred.\nAnswer: -251400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((x**(2\/3)*x)**(5\/2))**22*(x**(-2\/7))**(-2\/93)\/((x*x\/x**(-2\/3))\/(x\/(x*(x\/(x**7*x)*x)\/x)*x)) assuming x is positive.\nAnswer: x**(63151\/651)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 7 - -4.5. Let c = t - 8. Let w = c - 3. Sort w, -0.4, 1\/5 in ascending order.\nAnswer: -0.4, 1\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -16*t - 2. Let f be z(4). What is the units digit of 0 - f - (7 + -4 + 0)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 - ((-11 - -2) + 3 + 14).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((r*r\/(r*r**7)*r**(-3\/2))\/(r**(-1\/2))**(1\/16))**(-14\/11) assuming r is positive.\nAnswer: r**(1673\/176)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Product of 0.5 and 6758.96.\nAnswer: 3379.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = 27*k - 110. Is z(16) a multiple of 46?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -341 + 327 - (3 + -11 + 0).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 5*r**5 - 2*r**3 + 176627*r**2 + 4011967*r wrt r?\nAnswer: 100*r**3 - 12*r + 353254","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -167.36794087 and 5.\nAnswer: -162.36794087","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Solve -90*m + 438 + 381 = -27*m for m.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 0, 1\/2, -5 in increasing order.\nAnswer: -5, 0, 1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 13 + x - x + 9*x**2 + x**2.\nAnswer: 10*x**2 + 13","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:19 AM and 3:11 PM?\nAnswer: 532","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 243944 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = -17 + 3*u - 2*u + 2*u + u. Let h be z(5). What are the prime factors of -10*4\/((-8)\/h)?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-24)\/40 - 6\/(-10). What is the remainder when 11 is divided by r\/(-1*2\/2) + 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.283166 to two dps.\nAnswer: -0.28","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 667 minutes before 8:53 PM?\nAnswer: 9:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 205 a factor of 650255490?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -35 + 35. Solve 3*r + r - 5*v - 2 = 0, -3*r + 3*v + 3 = f for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -75.6 and 0.4.\nAnswer: -30.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -3124.019 to the nearest integer.\nAnswer: -3124","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is 40 minutes before 7:59 AM?\nAnswer: 7:19 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -59, -727, -1841, -3401, -5407, -7859?\n\"Answer: -223*z**2 + z + 163","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 499 is divided by 73?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -9 - -3. Let g = 7 + k. Suppose l + g = 3. Solve l*z + 2 + 0 = 0 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: -1 + -14 + (-8 - ((-2 - 4) + 1))\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 85, 211, 337, 463, 589?\n\"Answer: 126*c - 41","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (2\/(-6))\/(((-14)\/6)\/7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1821, 3385, 4397, 4581, 3661, 1361, -2595?\nAnswer: -8483","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**3 - x**2 + x - 1. Let h(p) = 3*p**3 + 6*p**2 - 2*p - 1. Let z(c) = -4*f(c) - h(c). What is the remainder when 24 is divided by z(3)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 612 minutes before 6:24 PM?\nAnswer: 8:12 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2003621093?\nAnswer: 2003621093","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, 14\/3, -1, -6\/13 in decreasing order.\nAnswer: 14\/3, 3, -6\/13, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (8*q**2 - 7105*q + q**2 + 7117*q)*(-3*q**2 + 2 - 2) to m*q + b*q**3 + r*q**4 + p*q**2 + c and give b.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (276\/20 + -45 + 34)\/(3\/(-15)).\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 832 and 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -5 + -6*(sqrt(200) + (sqrt(200) + 0 - sqrt(200)) + sqrt(200) - sqrt(200))**2 + sqrt(200) + -1.\nAnswer: -1206 + 10*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 394168 = -2*x + 234*x. What is the units digit of x?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -m**2. Let k(p) = -56*p**2. Let q(i) = i**2 + 2*i - 1. Let j be q(-1). Calculate j*k(w) + 70*r(w).\nAnswer: 42*w**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1 - (-2 + (10 - 2)) - -1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-12)\/14)\/((-184)\/(-322)))\/((-3)\/(-66))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 4\/36*((-144)\/8)\/6?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-2)\/2)\/(-1 - -5 - 5). Let m be (-19 - -23) + (2 - x). Suppose m*b + 4*z - 9 = 77, 2*z + 92 = 5*b. Solve -4*o - o - 2 = v, -b = -5*v + 3*o for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -58 - 767 = -3*c. Suppose -2*r = -7*r + c. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) be the first derivative of -1\/9*i**3 - 1\/5*i**5 + 1\/18*i**6 + 0*i**2 + 1 + 0*i + 1\/4*i**4. Factor x(p).\nAnswer: p**2*(p - 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 6707919706 to the nearest integer?\nAnswer: 1886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*g - 5*g + 1189 = 3*c, c - g = 395. Let h = -217 + c. Does 10 divide h?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u*u**(-2\/31)*u)**(5\/13)*u**(14\/3)\/u**(-30))**(-6) assuming u is positive.\nAnswer: u**(-85624\/403)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1164*c - 2322*c - 6*c**3 + 1158*c.\nAnswer: -6*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 7 + -1. Suppose -610 = 2*t - 7*t. Suppose -t = -4*s - f. Is 14 a factor of s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 66*w + 4*c + 35 = 63*w, -3*w - c = 20 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) be the second derivative of y**5\/30 - 3*y**4\/8 - 23*y**3\/2 - 102*y. Let p(s) be the second derivative of b(s). What is p(5)?\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*o = 2*s - 196, 3*s - 83 = o + 206. Suppose c = -4*f + f + 156, s = 2*f - 2*c. Differentiate 41*a**2 + 43*a**2 - f*a**2 + 2 wrt a.\nAnswer: 66*a","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -186260, -186252, -186238, -186218, -186192, -186160?\n\"Answer: 3*w**2 - w - 186262","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -27*x = x + 10*x - 836. Which is bigger: x or -53?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -300 = 4*z + 2*c, -5*z + 3*z + 4*c - 130 = 0. List the prime factors of (-4 - (-5 - -3))*z.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 80233?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let x(u) = 12*u - 1. Let s be x(1). Suppose -4*q + 80 = -4*d, -4*d + s = q - 2*d. What is the remainder when q is divided by 5?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s - 1 + 1)*(3 + 2 + 2)*(-3 + 2 - 2).\nAnswer: 21*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 7:16 PM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Divide 2312076 by 59284.\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of 238, -264, -762, -1256, -1746?\n\"Answer: 2*y**2 - 508*y + 744","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -69.38 - -62.38. What is the third smallest value in 0.4, l, 11\/4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-7)\/(-9)*((-1792)\/(-980))\/64.\nAnswer: 1\/45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f = 2*i - 266, -f + 4*i - 33 + 156 = 0. Suppose f = 4*d - 1. Solve 32*x = d*x - 3 for x.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -3*g**3 + 35*g**4 - 122410*g - 15 + g**2 + 244818*g - 122410*g to l*g**4 + y*g**2 + s*g**3 + x + q*g and give q.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h be (155\/(-124))\/(15\/(-288)). What is the highest common divisor of 328 and h?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -0.3 + 0.4. Let k be 2 - 4 - (-100)\/45. Let b = -15 - -14. Put b, w, k in increasing order.\nAnswer: b, w, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -83 - -86. What are the prime factors of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 523 - 84 - 82 - 132 - 80 - 2*p - 87 - 62.\nAnswer: -2*p - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor r**3 + 59*r**2 - 381*r + 585.\nAnswer: (r - 3)**2*(r + 65)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/4)\/((-5)\/(-40)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 7771 and 95?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*r + 10*v + 5 = 9*v, 0 = -3*r - 5*v + 1 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + 2 + -2*(sqrt(11) + -3)**2 + (((sqrt(11) + 0)*-5)**2 - sqrt(132)\/(sqrt(36)\/sqrt(3))).\nAnswer: 11*sqrt(11) + 240","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-33)\/44)\/(1\/(-8)*-2)?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2060*f - 45 = -4110*f + 2055*f + 3*g, 0 = 87*f - g + 517 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 2523659 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1781*m - 7*m**3 - 1781*m + 3*m**3 + 22*m**3.\nAnswer: 18*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 974020 and 274040.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.11 + 5158744565574.\nAnswer: 5158744565573.89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -3 in 12, 206, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -41 - -57. Let d(a) = -a**3 + 9*a**2 - 9*a + 8. Suppose 0 = -5*j + 2 + 38. Let t be d(j). Solve 4*k + 0*k - q = t for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -2181183 > -2181189?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 2*i**2*k**4 + 2*i**2*k + i*k**3 + 5794*i*k - 5*i + 42210*k**2 wrt k.\nAnswer: 24*i**2*k**2 + 6*i*k + 84420","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(w) = -w**3 - 12*w**2 + 13*w. Let h be c(-13). Suppose -6*o + 10*o - 44 = h. Let u = -7 + o. Solve u*i = i - 6 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -10042.794 rounded to the nearest 1000?\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find g, given that g**5\/5 - 746*g**4 + 3481949*g**3\/5 - 6937808*g**2\/5 - 10423488*g\/5 = 0.\nAnswer: -1, 0, 3, 1864","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 6*v**2 - v**3 + 4*v**3 + 15*v**2 + 20*v**2 - 43*v**2 - 2 - v**4 + 6*v to the form f + b*v**4 + r*v + h*v**3 + i*v**2 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = i**3 + 2*i**2 + 11*i + 7. What is the units digit of u(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence oo when two letters picked without replacement from {o: 2, z: 1, i: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*u + 2*r + 2 = 0, 0 = -2*u - 3*r + 271 - 273 for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*u - 4*u - 143 + 148 as c*u + h and give h.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(56)\/sqrt(8) + -5 - -3*(sqrt(63)\/sqrt(9) + sqrt(7))) + (sqrt(28) + -2 + sqrt(112) - 5*3*sqrt(28)))**2.\nAnswer: 238*sqrt(7) + 2072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 1026\/935 or 2?\nAnswer: 1026\/935","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let b(a) = a + 1. Let r(g) = -2*g**2 + 2*g + 4. Let v be ((-10)\/4 + 3)*4. Give v*b(m) - r(m).\nAnswer: 2*m**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9280805 and 2180?\nAnswer: 545","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -41383343 and -8.\nAnswer: 331066744","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.078 - -0.022. What is the closest to -1\/4 in 2\/5, -3, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -184, -199, -226, -271, -340, -439?\nAnswer: -574","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 4.6 + 31.4. Let b = o - 35.8. What is the smallest value in -1\/2, -12, b?\nAnswer: -12","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 5, 22, 65, 146, 277, 470, 737, 1090?\nAnswer: 1541","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -10\/25907 or -1?\nAnswer: -10\/25907","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 15*d + 49. Determine h(-7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 644 minutes before 6:30 PM?\nAnswer: 7:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 - 69 - (46 + -55 + 43)?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -17 = 5*c - 57. Suppose -2*u - c = 4*l - l, 5*l + 2*u = -8. Let p be 2\/(-6) + 65\/15. Solve -p*o + l*o - 16 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(k) = -k**3 - k**2 + 3*k - 3. What is r(2)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -429766 + 0.3\nAnswer: -429765.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 15 + (9 - (43 + -3)).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -820, -1626, -2432, -3238, -4044?\n\"Answer: -806*k - 14","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4 + 1 + 2)*(1 + 2*r**4 - 1) + 7*r**2 + 5*r**4 - 7*r**2.\nAnswer: 3*r**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 54973?\nAnswer: 54973","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((36\/11)\/(140\/7546*49))\/(1*-2).\nAnswer: -9\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -17, -96, -241, -464, -777, -1192, -1721, -2376?\nAnswer: -3169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(g) = 38*g + 307. Let r be x(-8). Let o(f) be the first derivative of 1\/18*f**r + 2\/3*f + 4 - 1\/3*f**2. Factor o(l).\nAnswer: (l - 2)**2\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(p) = -18*p - 47. Let d = 67 - 64. Suppose -j = 2, -19 = r + d*j - j. Is v(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 155, 1\/7, 0, 1\/17.\nAnswer: 0, 1\/17, 1\/7, 155","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -456052*j**6 + 95963*j**2 + 5 wrt j.\nAnswer: -54726240*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 21 - 26. Let a = 0.2 - -0.8. Sort -2, r, a.\nAnswer: r, -2, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) be the third derivative of -w**4\/4 - 5*w**3\/6 - 16*w**2. Let f be j(-4). Solve -2*x = -2*o - 6 - 12, o + f = 3*x for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes after 11:03 AM?\nAnswer: 3:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -17774 - -17945. What is the remainder when 1527 is divided by w?\nAnswer: 159","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -5*p**2 + p**3 - 24073522 + 24073522 + 2*p**2 + 7445*p**4 - 95*p wrt p?\nAnswer: 178680*p + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(o) = -19547*o - 105. Is y(-2) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -6612 (base 8) to base 13.\nAnswer: -1768","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*d = -7*w + 46202, -5*w - 4*d + 33001 = -d. List the prime factors of w.\nAnswer: 2, 3301","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -14*q = -118 + 34 for q.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*r = 3*g + 16, 0 = -r - g - 2*g - 8 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Round 4240 to the nearest one hundred.\nAnswer: 4200","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 28 a factor of 271?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e, 2 k, and 1 p when four letters picked without replacement from {d: 7, y: 2, k: 7, e: 2, p: 1}.\nAnswer: 7\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 46 = 5*h - 29. Let g be (-4)\/2 + 24\/h. Is g >= 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 6324625 - 4?\nAnswer: 6324621","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.05? (a) -51 (b) 1\/6 (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 2988 and 25823624?\nAnswer: 332","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 11913?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = z**2 + 6*z. Let l(f) = 4*f. Calculate j(l(t)).\nAnswer: 16*t**2 + 24*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 3037 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: -6 times 8.97138\nAnswer: -53.82828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 58, 26, -64, -242, -538, -982?\nAnswer: -1604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -4433 - -4436. Solve 2*l - 3 = -x*r + 2, -5*l = -3*r - 2 for r.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-8)\/12*(-39)\/(-26).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7618 is divided by 1900?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*1*sqrt(152))\/sqrt(8) - sqrt(171)\/((sqrt(144) - sqrt(9))*2).\nAnswer: -19*sqrt(19)\/6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -96, -102, -108, -114?\nAnswer: -120","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (w\/(w*w**(-2\/11)*w))**(2\/115)*w**(2\/7)\/(w**1\/w) assuming w is positive.\nAnswer: w**(2404\/8855)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*f**5 + 3*f**5 - 3*f**5 + (0*f**4 - f**4 + 0*f**4)*(-22*f + 4*f - 11*f) - f**5 + 11*f**5 - 2*f**5 + (f**4 - f**4 - f**4)*(-2*f + 4 - 4).\nAnswer: 37*f**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 18*f - 725.\nAnswer: 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 2 + 0. Let d be q\/(-5) + (-446)\/10. Let t = -25 - d. Solve 3*a - 4 = 5*m, -5*a + t = 3*m + 2*m for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(b) = 88*b**2 - 10*b - 10. Let f(v) = 6520*v - 29*v**2 - 6517*v - 2 + 5. Determine 3*a(u) + 10*f(u).\nAnswer: -26*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/110 and 38\/11?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1573) + (sqrt(1573) - (sqrt(1573) + 2)))**2 + -3.\nAnswer: -44*sqrt(13) + 1574","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: ((-23)\/(23\/(-2)))\/((480\/(-25))\/8)\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -29 - -29. Suppose 0 = c - 4*g - g + 10, 2*c + g - 13 = j. Solve 15 = -c*z + 5 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 17.55 - 2.85. Let n = o - 5.9. Let c = 4 - n. Round c to 0 decimal places.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express (3*n**2 - 5*n**2 + n**2)*(22 + 22 - 21*n - 42) + (0*n**2 + 2*n**2 + 0*n**2)*(-2*n + 8*n + 2*n) in the form q*n**3 + u*n + p*n**2 + g and give q.\nAnswer: 37","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k(q) = -q**2 + 15*q - 47. Let x be k(5). Solve 3*v + x*v + 6 = 0 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 0.4 (b) -97 (c) 5 (d) 0.3 (e) -2\/11 (f) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -409 - -4073\/10. Calculate the common denominator of 41\/6 and d.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -20141? (a) 364 (b) -4\/7 (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -320484542*y**3 - y**2 - 164637403?\nAnswer: -1922907252","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 3.71518901 rounded to zero dps?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.06476 to two decimal places.\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 4902012 to the nearest integer?\nAnswer: 170","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*k - 113 = 5*n - 282, 17*k + 3*k - 3*n = -147 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 93 = 5*s - 32. Suppose 2*t + 15 = -m - 10, 0 = 5*t + s. Let c be m\/(-4) + 21\/(-28). Solve -4*a + 2 = -c*a for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -131, -261, -393, -527, -663, -801, -941?\n\"Answer: -k**2 - 127*k - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 9 + -12 + (12 - 7).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 2*p**4 + 3541982*p**3 - 2*p**2 - 2993*p + 360?\nAnswer: 48*p + 21251892","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.5 + 606838.\nAnswer: 606837.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0.5579 - 0.63496. What is i rounded to 2 dps?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-4 + 0 - -2) + (-20)\/(-4). Let w(l) be the second derivative of d*l + 0 + 0*l**2 - 1\/30*l**3 + 1\/60*l**4. Factor w(r).\nAnswer: r*(r - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 762, 768, 778, 792, 810, 832, 858?\nAnswer: 888","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.1*9175.\nAnswer: 917.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 11.058 - 0.058. Let v = -33 - -21.5. Let c = v + r. What is the nearest to 0.1 in -5, c, -2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -13 (base 8) to base 4\nAnswer: -23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose s = 1, -5*w = -w + 3*s - 31. Let n(f) = -4*f**2 + 5*f**2 + 17 + 10*f + 3*f - 4*f. What is the remainder when n(-10) is divided by w?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ppll when four letters picked without replacement from lplllplll.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 44 - ((25 - -59) + -57)\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 365 is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 13365458177 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let j be (-63)\/(-98)*(2 + 2\/(-3)). Factor -2\/7*a**3 + j*a**2 - 6\/7*a + 2\/7.\nAnswer: -2*(a - 1)**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (16 + 12 - 4)*(-2 + 2 + 2)*(-3*b**5 - 2*b**5 + 3*b**5).\nAnswer: -96*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((f**(1\/6)\/f)\/f**(1\/11))**(2\/89)\/((f**3)**(-6\/13))**(-8) assuming f is positive.\nAnswer: f**(-423721\/38181)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -20361, -29345, -38333, -47325, -56321?\nAnswer: -65321","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 3 + (46 - (-10 + -2)). Calculate the highest common divisor of 2623 and w.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 2472, 9956, 22446, 39942, 62444?\n\"Answer: 2503*m**2 - 25*m - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15*l - 8 = 19*l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 127496 and 2304.\nAnswer: 36718848","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9182586 is divided by 11?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j(a) = 14*a**2 + 2*a + 1. Let z be j(-3). Suppose 0 = -f + 4*f + 6, z = 3*c - 5*f. Is c composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {l: 2, g: 1, r: 1, o: 1}. What is prob of picking 1 o, 2 l, and 1 g?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(j) be the third derivative of -j**6\/120 + j**5\/30 + j**4\/4 - 7*j**3\/6 - 18*j**2. Let p be c(3). Solve w + 4*w - 16 = -p*i, -4*i + 12 = 5*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve x = -1051*g + 1054*g + 8, g - 4*x = 12 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*n + 2*n = -30. Suppose 3*o = -28 + 46. Solve -o*b = -n*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -4 or 61.8?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand m - 2*m - m + (-4*m + 0*m + 3*m)*(-3 + 4 + 0) - 5*m + m - 2*m.\nAnswer: -9*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 27234595.\nAnswer: 5, 17, 373, 859","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -16*x**4 - 93*x**3 - 1621*x wrt x.\nAnswer: -192*x**2 - 558*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -14.92808012 rounded to 1 dp?\nAnswer: -14.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0002392 to 5 dps.\nAnswer: 0.00024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -310.545 + -6.455. Which is the closest to h? (a) 1\/2 (b) 1 (c) 5\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(v) = v - 7. Let p be n(6). Let i be p\/(2\/(-40)*-2). Let z be 0 - i - 8\/4. Solve 5*h - h - z = 0 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mm when two letters picked without replacement from mmmk.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let m(g) = -g. Let l be m(-3). Suppose -y + 16 = l*y. Suppose 3*i + 3*k = 15, -2*i + 38 = -0*i - 5*k. Solve -5*o = -0*r + 2*r + 15, y*r - 3*o = i for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*y - 7 + 5 = 0. What is the closest to y in 0.3, -0.04, -5?\nAnswer: -0.04","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -0.117*-0.5\nAnswer: 0.0585","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 668499 is divided by 3714.\nAnswer: 3693","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 3 + 74 + (-4)\/4*(1 + 1). Calculate the greatest common factor of x and 10425.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:35 PM and 11:49 PM?\nAnswer: 374","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Multiply -4.3 and -0.22.\nAnswer: 0.946","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 1bca1a5 (base 13) in base 14?\nAnswer: 13366a2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let l be ((-60)\/(-70))\/((-12)\/8). Let v be (-1)\/(-3) + 33\/9. Which is the fourth smallest value? (a) v (b) 0.1 (c) 3\/2 (d) l\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1868690814 to the nearest integer?\nAnswer: 43228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve t - 4*l + 7 + 3 = -23, -193*t + 96*t - 4*l + 68 = -93*t for t.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -198 + 211. Let u(n) = n + 4. Let t be u(c). Solve -3*x - j + 15 = 4, 5*j = 4*x + t for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_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: Is 9043 a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 940 > 940?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve p - 2*a + 6 = 0, 4*p - 8 + 18 = a for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.2283566 times 0.23?\nAnswer: -0.052522018","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(792)*1 - 2*sqrt(198))\/(-5*4*sqrt(275)).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 110, 221, 332, 443, 554?\n\"Answer: 111*g - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 8501 + -2401. What is the units digit of v?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 35*t - 12*t - 13*t + 4*t**2 - 10*t.\nAnswer: 4*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*q + 3*q = 0. Is q greater than or equal to 2\/299?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(c) = c + 7. Let s be i(-5). Suppose -2*h = 4*n - 16, 2*n = h - s*n - 2. Calculate the remainder when 23 is divided by h.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(t) = 2 - 3 - 3*t + 0 - 2. Let r be (-12)\/(-16) + 11\/(-4). Determine y(r).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 187*n + 1159 - 1498 = -2396 for n.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let g(w) = -3*w**2 - 3*w + 11. Let y be ((-261)\/(-18))\/(-29)*8. Give g(y).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*b + 3*k + 1 + 2 = 0, -2*b + k = -1. Let t = -9296 + 9296. Solve -5*l - o + 19 = -t, b = l - 2*o - 6 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:57 AM and 9:39 AM?\nAnswer: 402","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = r. Let x(w) = 7*w + 0*w - w. Let h(m) = -11*i(m) + 2*x(m). Let z(u) = -u**2 + 9*u**2 - 11*u**2. Determine h(z(s)).\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1064\/1140*(-3)\/(-2).\nAnswer: 7\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0247951 rounded to four decimal places?\nAnswer: -0.0248","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*p + 8*p**3 + 11*p**3 - 3*p**3.\nAnswer: 16*p**3 + 2*p","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-172)\/16)\/(1\/4). Let c = x - -62. Suppose -5*h - y + 16 + 79 = 0, 0 = h + 3*y - c. List the prime factors of h.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 73031 to the nearest integer?\nAnswer: 42","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1717 and 101?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 103.94 - 104. Let s = 90 + -93. Which is the smallest value? (a) -0.6 (b) s (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4258853 + 9.68.\nAnswer: 4258862.68","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w - 2*k = 42, 4*w + 21 = -3*k - 22. Let o be 0 + 2 + -1 - -4. Suppose z - 37 = o*z - l, 2*l + 26 = -2*z. Are w and z equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(u) = u**3. Let r(h) = h**3 + 7*h**2 - 8*h - 1. Let z be r(-8). Let t be 3 - (z + (-3)\/(-1)). Let k(i) = -6*i**3 - 2*i**2. What is t*k(m) + 3*q(m)?\nAnswer: -3*m**3 - 2*m**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/(-2 + (-15)\/(-6)). Let i be (3 + -1)\/((-2)\/w). Suppose h - 3*g = -5*g + 131, -i*h + 514 = -2*g. What is h rounded to the nearest 10?\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1081*r = 4*q - 1077*r - 4, q - 4*r - 16 = 0 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 424\/3 + -140. Let c = 0.402 - 0.302. What is the closest to c in i, 4, 5?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -6 - -4. Let a = 4.31 + -4.782. Let j = -0.772 - a. Sort j, 0.3, o in descending order.\nAnswer: 0.3, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 72574.893ns in days?\nAnswer: 0.0000000008399871875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 780 - 4851. What is o rounded to the nearest 100?\nAnswer: -4100","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = 2*f**2 + 19*f - 15. Let x be k(-10). What is the lowest common multiple of 10 and 8 - (-3 - (x + 1))?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1588\/455 - 10\/91. What is the common denominator of v and 61\/3?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(r) = r**2 - 8*r + 14. Let l be w(6). Solve 0 = l*a - a - 4 for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:05 PM and 1:21 AM?\nAnswer: 376","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the second derivative of 4*w + 0*w**2 + 0 + 0*w**5 - 7\/30*w**6 - 5\/6*w**4 + 0*w**3. Find the third derivative of s(p) wrt p.\nAnswer: -168*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of x**8\/112 + x**4\/8 - 3*x**2\/2 + 1. Let k(s) be the second derivative of m(s). What is the second derivative of k(u) wrt u?\nAnswer: 60*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 1509a - 4b5?\nAnswer: 149c5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -120202002 (base 3) to base 10\nAnswer: -11477","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dkqq when four letters picked without replacement from {k: 3, q: 3, d: 2}?\nAnswer: 3\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 27.45509 - 27.5. Round y to two dps.\nAnswer: -0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 17 divide 9680?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*q - 2*y + 6*y = 10, -4*q + 8 = 2*y. Suppose -5*r = -12 + q. What is the third derivative of 3*b**2 + b**4 - b**2 - b**r wrt b?\nAnswer: 24*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(539) + 0 + sqrt(539) + -1 + sqrt(1100))**2.\nAnswer: -48*sqrt(11) + 6337","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -2*q - 15 + 26 - 10 - 2*q**3 + 2*q**2 to the form u*q + o + n*q**3 + i*q**2 and give u.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = u**2 + 4*u. Let a be h(-4). Solve a = 3*d + 7 - 1 for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -293 - -304. Suppose -b*c = -7*c. Solve 0 = -2*q - 4*k + 6, -5*q + 3*k + 10 + 18 = c for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 42483 smaller than 42483?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -1a - -45?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -74296 divided by -5\nAnswer: 74296\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Express 6*u**2 - 3*u - 14 - u**4 + u + 3*u - 5*u**2 as v*u**3 + j*u**2 + p*u + g + x*u**4 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: -587 times 2\nAnswer: -1174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 5.02 + -0.02. Let k(p) be the second derivative of -p**3\/6 - 11*p**2\/2 + 14*p + 3. Let s be k(-6). Which is the biggest value? (a) s (b) h (c) 2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 59225?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = -13*l - 189. Determine d(-15).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) be the first derivative of -7*x**2\/2 + 173. Let v(h) be the first derivative of 9 + 0*h + 0*h**2 + 1\/3*h**3. Determine v(m(c)).\nAnswer: 49*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -4585 + 4584.94. Sort 0.5, 2, l, -5, -2\/5 in descending order.\nAnswer: 2, 0.5, l, -2\/5, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 10677 is divided by 46?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Factor -c**2\/6 + 223*c + 1339\/6.\nAnswer: -(c - 1339)*(c + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 3626 + -3625. Solve t - 1 = -28*i for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*z - 2674 - 6681 = 0. Let t = -671 + z. Is 30 a factor of t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -7 - 4 = -c. Let l = 282 + -161. What is the greatest common factor of l and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -14*x**3 + 26*x**3 - 11*x**3.\nAnswer: x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {b: 5, t: 14}. Give prob of picking 3 t.\nAnswer: 364\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let c(r) = 268*r**2 - 1443*r - 2882. What is c(-2)?\nAnswer: 1076","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d(m) = -3*m - 37. Let n be d(-14). Let r(p) = -1. Let l(j) = j + 20. Let t(x) = l(x) + 5*r(x). Let c be t(-13). Solve n*b = -o + 3*b, 3*b + c = -2*o for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (0*b**2 - b**2 + 0*b**2)*(b**3 + 2*b**3 - 2*b**3) + (2*b**4 - 5*b**2 + 5*b**2)*(b - 2*b + 2*b) + 371*b**5 - 298*b**5 + 756*b**5.\nAnswer: 830*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -8, -4189, -4, 3, 77 in descending order.\nAnswer: 77, 3, -4, -8, -4189","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -3 + 1 + 2 + 72 + -74.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -10.9 - -11. Let g = -0.3 + s. Let p = g - -0.2. Which is the closest to p? (a) 2 (b) 1\/6 (c) 2\/13\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-34)\/(-3) - (-5)\/(-15). Let m = 17 - k. Find the first derivative of m + 0*y**3 - 7*y**3 - 3 wrt y.\nAnswer: -21*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*n + 6*m + 26 = m, -4*n - 2*m = 20. Sort n, -6, -4, 0 in descending order.\nAnswer: 0, n, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 7, w: 3, d: 1, e: 1}. Give prob of picking 1 w, 1 y, 1 e, and 1 d.\nAnswer: 7\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 2226845 a multiple of 1255?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = 2*n - 24, 2*n - u = u + 26. Suppose n*p - 30 = 4*p. What is the highest common divisor of p and 57?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 273 - 73 = 25*z. Is z <= 70\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 38523096 and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 170*y + 8 = 178*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence eec when three letters picked without replacement from {a: 3, h: 2, e: 4, n: 1, v: 1, c: 1}.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 108\/(-16) + 7 + 3\/4. Let m be (3*(a - 0))\/((-8406)\/12). Let j = 5131\/1401 - m. What is the common denominator of -27\/28 and j?\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence zzz when three letters picked without replacement from {z: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -19 + (1320\/(-9440))\/(4\/(-544))?\nAnswer: 1\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -12*v**2 + 13*v**2 + 1451 - 1454 + 13*v**2 to the form m*v + u*v**2 + f and give u.\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -88*m + 65*m = -46. Let c be 21\/(-14)*(-8)\/(-3) - -4. Which is smaller: c or m?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0 + 0. Let b = 27 + -24. Suppose u = -b*d + d + 10. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(s) be the first derivative of 351*s**4 + s**2\/2 + 158*s - 1259. Find the first derivative of o(d) wrt d.\nAnswer: 4212*d**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -8*b + 15*b**2 + 6*b - 17*b**2 - 17*b**3 in the form p*b**2 + y*b + m + r*b**3 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 2257, 2\/3, 3886, 0.1?\nAnswer: 3886","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 239 + -240.09. Let b = 1.2 + f. Let y = b + -0.1099986. Round y to 7 dps.\nAnswer: 0.0000014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be -2 - -2 - (-5)\/5. Let w be (6 + 150)*r\/2. Suppose -3*a + 0*f = 5*f - w, -130 = -5*a + f. List the prime factors of a.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10587 - -10650. What is the remainder when 188 is divided by n?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) -13 (b) 2\/15 (c) -163\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -249\/65 (b) -3 (c) -2\/7 (d) 11\/6 (e) 0.2 (f) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Expand ((d - 3*d + 6*d)*(0 + 1 - 2) + d + 2 - 2)*(-d - d + 5*d).\nAnswer: -9*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose o - 8*o + 35 = 0. Suppose -o*z + 9 = -1. Suppose z = b, -c + 2*b + 16 = 4*c. Solve a = -3*a + c for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 114*j = 115*j - 5, -5*j + j + 20 = 2*d for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:18 AM and 7:37 PM?\nAnswer: 679","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Convert 1794683.4 months to decades.\nAnswer: 14955.695","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -159896.92*14.\nAnswer: -2238556.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 113083*m - 226169*m + 3*m**2 + 113086*m - 5*m**2.\nAnswer: -2*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (12*u + 1 - 9*u - 2)*((0 + 6 - 4)*(3*u - 2*u + 0*u) + 9*u - u + 10*u).\nAnswer: 60*u**2 - 20*u","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2 (b) -0.1 (c) -1\/5 (d) 11 (e) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 110 - 45. What is the tens digit of a?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -212 - -242. Calculate the lowest common multiple of 20 and m.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -115, -3, 4 in ascending order.\nAnswer: -115, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Convert -11000100000101111 (base 2) to base 8.\nAnswer: -304057","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9003 is divided by 99?\nAnswer: 93","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 0.35511 times 6\nAnswer: 2.13066","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -6*v**2 - 4*v**2 + 13*v**2.\nAnswer: 3*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:12 AM and 2:35 PM?\nAnswer: 503","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 220868 to the nearest integer?\nAnswer: 60","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11837 - -11841. Which is the closest to n? (a) -2\/39 (b) -5 (c) 0.2 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(i) = i**3 - 7*i**2 + 8*i - 8. Give f(6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 49 - 86. Let o = 11 - g. What is the units digit of o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) = -7*z + 165. Let w be p(23). What is q in 2\/5*q**5 + 2\/5*q**w + 0 - 2\/5*q**2 - 6\/5*q**3 + 4\/5*q = 0?\nAnswer: -2, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: -242 or -965\/4?\nAnswer: -965\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 (base 7) in base 4?\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Express (-v**2 + 0*v**2 - v**2)*(82*v**2 - 162*v**2 + 505*v**2) as z*v**4 + k*v**2 + j*v + m*v**3 + n and give k.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v + 27 = 5*f, 2*f - 4*f - 5*v = -17. Let z = 34 - f. What is the remainder when z is divided by 10?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (6\/11)\/(((-113)\/(727155\/78))\/(2\/(-100)))?\nAnswer: 9\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let a be 7*(2 - (-48)\/(-28)). Solve 2*t + a - 8 = 0 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 179027652 and 292097748.\nAnswer: 5549857212","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 37*s - 40*s = 378. Let r = 127 + s. What are the prime factors of 152\/r - ((-12)\/(-4) + -3)?\nAnswer: 2, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((2*sqrt(63)*2)\/(sqrt(9) + sqrt(441)*-1 + sqrt(9)) + 2 + sqrt(847) + (sqrt(98)\/sqrt(2))\/sqrt(7))**2.\nAnswer: 224*sqrt(7)\/5 + 22052\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 196\/6 - ((-52)\/4 + 14). Which is bigger: w or 31?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 637950790?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-3 + ((sqrt(171) + 0)*-2 + sqrt(171) + sqrt(171) + -4 + -1 + sqrt(171) + sqrt(171) - -6*(-2 + sqrt(171) + 1 + sqrt(171))))**2.\nAnswer: -134848 + 4704*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(z) = 2*z - 11. Let l be h(7). Suppose 2 = l*f - 37. What is the remainder when f is divided by 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 51342 and -0.06?\nAnswer: -3080.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b be (9 - 8) + (6 - 2). Solve b*f = -3*d + 20, -3*f + 9 = d + 1 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 2*k + 1)*(-4 - 41 + 12) - k + 3*k + 0*k to m + w*k and give w.\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 16591 and 30358?\nAnswer: 353","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 10*p + 21. Determine a(-6).\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Factor q**2\/6 + 17569*q\/6 - 61516\/3.\nAnswer: (q - 7)*(q + 17576)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 3392 and 81196?\nAnswer: 212","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (1\/6)\/((-2)\/(-8)*-1).\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -p**3 - 7*p**2 + 10*p + 7. Let d = 10 + -18. Let r be q(d). Let u(v) = v**3 + 8*v**2 - 10*v - 2. What is the units digit of u(r)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -1188 + 586. Let c = u + 606. What is the nearest to 2 in -0.6, c, -0.5?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1397*b + 1552*b - 4454 = 661 for b.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 0.2 or -3300?\nAnswer: -3300","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -3*x**3 + 120639*x**2 - 1212753705*x - 1212874347.\nAnswer: -3*(x - 20107)**2*(x + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -35213, -140802, -316783, -563156, -879921, -1267078, -1724627?\nAnswer: -2252568","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 37 or 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 48935 divided by 3.\nAnswer: 48935\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Determine h so that 5*h**5 - 17767*h**4 - 621159*h**3 + 1561111*h**2 - 1187702*h + 265512 = 0.\nAnswer: -37, 2\/5, 1, 3588","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 47\/14 and 97\/18.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -95\/7 < 0.1542298?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 278295521 a multiple of 73?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 0.017881 from 55077354.\nAnswer: 55077353.982119","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*b = 5*j + 3420, 2*j = 2*b + b + 5130. Let u be (-2*2)\/(12\/b). What is u rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(a) = a**3 + 17*a**2 - 4*a - 63. Let y be p(-17). Find the third derivative of -40*d**2 - 3*d + 27*d**3 + 80*d**2 - 45*d**2 + 2*d**y wrt d.\nAnswer: 120*d**2 + 162","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -46.999966 - -47. What is i rounded to 6 dps?\nAnswer: 0.000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) be the third derivative of 37*r**5\/60 + 508*r**2. Let u(h) = -6*h. What is u(f(g))?\nAnswer: -222*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.06, 4, 0.5, -5, 39?\nAnswer: 0.06","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let p(x) = -x**3 + 17*x**2 - 18*x + 40. Let r = -37 - -53. Let c be p(r). Suppose 3*u + 0 = -4*z + c, -5*z - 12 = u. Solve u = 2*s, -s = 3*y - 3*s - 4 for y.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (-2)\/2*(-34)\/(-51)\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 406 minutes after 3:50 PM?\nAnswer: 10:36 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 12\/(-10)*(-20)\/32?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 358972 is divided by 521.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence rrcr when four letters picked without replacement from rccccrcccrccrrcc?\nAnswer: 11\/728","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Sort -465, 4, 54, 15.\nAnswer: -465, 4, 15, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 10:36 PM and 5:24 AM?\nAnswer: 408","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let v(n) = -16*n + 1. Let z(l) = -13*l + 2. Let a(x) = 5*v(x) - 6*z(x). Let y(g) = g + 4. What is -6*a(i) - 11*y(i)?\nAnswer: i - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -31424245 + 1?\nAnswer: -31424244","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**7*y\/y**(1\/4))\/(y**6\/y**(-1\/3)) assuming y is positive.\nAnswer: y**(17\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (123*c + 73*c + 16*c - 40*c + (-1 - 4 + 4)*(-17*c + 64*c - 22*c))*(-3*c**2 + 4*c**2 + 0*c**2) to i*c**3 + l + y*c + t*c**2 and give i.\nAnswer: 147","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Is 740281 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*b - b - 1748*b**2 + 3*b.\nAnswer: -1748*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let b(o) = -o**3 + 3*o**2 - 6*o + 2. Let z be b(2). Suppose g - 3*l + 16 = -3*g, g - 4*l = 9. Which is greater: g or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8063 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 0.041 - 38.041. Let n = q + 37.6. What is the closest to -2 in -0.1, -0.04, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -9*f**2 + 7*f - 3. Let z be r(3). What is the units digit of (z\/1)\/(1*(-4 + 3))?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -1 - -0.3. Let c = 1.7 + d. Let v be 18\/20 - (-1)\/(-2). What is the third biggest value in -2, c, v?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -6\/475, -2116, 0.063 in increasing order.\nAnswer: -2116, -6\/475, 0.063","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (957\/(-165) + 7)*(1 - 23\/3).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose d + 0 = 5. Suppose d*x + 9 = -46. Is 4\/22 + (-339)\/x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 27*k**2 + 4436310*k - 985848.\nAnswer: 3*(k + 164308)*(9*k - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 50670547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 514157, 514258, 514363, 514472, 514585, 514702?\nAnswer: 514823","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(r) = r**2 + r. Let y be j(-2). Solve -12*t**2 + 5*t**2 + 0*t**y + 5*t**2 + 2*t**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 3.41 (b) -0.4 (c) 0.181\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 27056169 to the power of 1\/4, to the nearest integer?\nAnswer: 72","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 716 is divided by 131.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) = -3*k**2 - k + 1. Let t be u(-2). Let s(i) = 2*i**3 + i**2 - 9*i - 7. Let q(c) = c**3 + c**2 - 4*c - 3. Let f(y) = t*q(y) + 4*s(y). What is f(-5)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*v = 1617 - 3057. Does 24 divide v?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -1\/12 and 113\/7596?\nAnswer: 7596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 + 0 - 3)*(2*a + 1 - 1)*(1 - 3 + 3)*(377 + 459 - 112).\nAnswer: -1448*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*a = -15 + 17. What is the remainder when 1 is divided by a?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 216 by -1.\nAnswer: -216","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Is 149827 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 14 and 208611466?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 k and 2 j when four letters picked without replacement from {k: 2, m: 4, j: 4}.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(l) be the first derivative of 2*l**3\/3 + 47. Let a(c) = 5*c + 5. Let o(m) = -3*m - 2. Let x(w) = -6*a(w) - 15*o(w). Determine x(g(p)).\nAnswer: 30*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 5341 and 2289?\nAnswer: 16023","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10*p + 12*p - 83060 = 0. Suppose 26*c - p = 16*c. Is c a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((c*c**(-3))\/c*c)\/(c\/c**(2\/9)*c)*(c\/(c*(((c\/(c*c**1*c))\/c*c)\/c)\/c*c))**(-3) assuming c is positive.\nAnswer: c**(-115\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the tth term of 2311, 2337, 2381, 2443?\n\"Answer: 9*t**2 - t + 2303","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(21) + sqrt(84)\/(sqrt(8)\/sqrt(2)) - sqrt(126)\/(sqrt(12)\/sqrt(2)))*5)\/(4*-1*sqrt(1008)*2) + 0)**2.\nAnswer: 25\/3072","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10 + 21 - 49*y - 11.\nAnswer: -49*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let a(r) = -6*r**2 + 19 - 30*r + 5*r**2 + 5*r. Let q be a(0). Solve q = -4*d + 3 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 2577103 to the power of 1\/3, to the nearest integer?\nAnswer: 137","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -10 + 14. Suppose -6 = -3*p, 2*v - 3*v - 4 = -y*p. Solve -3*m - 2 = -v*m, 3*l + 5*m = 22 for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((2 + sqrt(68))*2 - sqrt(68) - (sqrt(68) - (sqrt(68) - 6*(sqrt(68) - sqrt(68)*-3)))) + ((sqrt(68) + 0)*-2 + sqrt(68) - sqrt(68))*-3 + 2)**2.\nAnswer: -408*sqrt(17) + 19688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 120 minutes before 2:18 AM?\nAnswer: 12:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is -1321303311 - 11?\nAnswer: -1321303322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -110 + 10110000110010111100111?\nAnswer: 10110000110010111100001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: How many milliseconds are there in 8.568963 days?\nAnswer: 740358403.2","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -15*p + 21*p + 49 = -5*r, 4*r + 40 = -5*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -cc81 (base 13) in base 3?\nAnswer: -1110002110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 2489755 and 11540.\nAnswer: 2885","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(x) = x. Let u(d) = 26*d**2 - 2433. Determine u(l(i)).\nAnswer: 26*i**2 - 2433","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1386, 1, -0.2 in ascending order.\nAnswer: -0.2, 1, 1386","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 1974 + 15089. Is i a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -17003 equal to -51010\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let k(v) = -v. Let t(f) be the third derivative of -2*f**5\/15 - 119*f**3 - 10*f**2 + 36*f. Give t(k(a)).\nAnswer: -8*a**2 - 714","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 1.657381mg?\nAnswer: 1657.381","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose p - 12 = -p. Suppose 2*o - o - 1 = 0. Let f be p\/(o - 26\/(-4)). Sort f, -1, -5.\nAnswer: -5, -1, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(j) = j**3 - 9*j**2 + 8*j - 5. Let c be l(8). Let t(m) = -m**2 - 5*m - 2. What is t(c)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: (6\/4)\/((-90)\/((-80)\/(-8)))\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -99\/4 and 75\/536.\nAnswer: 536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {f: 2, b: 2, r: 10, z: 5, p: 1}. What is prob of sequence frbr?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a**(1\/10)\/(a\/(((((a\/(a\/(a*a\/(a*a**(-6)))))\/a)\/a)\/a)\/a)))\/((a**(-7)\/a)\/a**(-5\/3)))\/((a**(1\/4))**(-5\/13))**6 assuming a is positive.\nAnswer: a**(1757\/195)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) = -l**3 - 28*l**2 - 445*l - 8330. Determine s(-24).\nAnswer: 46","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence qwqq when four letters picked without replacement from {x: 5, c: 2, w: 3, k: 1, n: 1, q: 3}?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*a + 3*p - 87, 4*a - 3*a - 60 = 4*p. Let r = 26 - 20. Suppose -3*h + 33 = 3*m + r, h = 4*m - 51. Calculate the greatest common divisor of m and a.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 486\/133 + -64\/19. Let r(n) = -n**2 - 3*n. Let d be r(-2). Which is the nearest to 0.1? (a) i (b) d (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 5679 and 1373687.\nAnswer: 631","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 467 minutes before 4:00 PM?\nAnswer: 8:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -3.3 + 3.300025. What is k rounded to five dps?\nAnswer: 0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkzpzzzpkuczklk. Give prob of sequence zczk.\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 139 or 1659931?\nAnswer: 139","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(sqrt(833) + 2 + sqrt(833))**2 - ((sqrt(833) - -1*sqrt(833)) + sqrt(833))*3.\nAnswer: 105*sqrt(17) + 10008","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is 3203987584 to the power of 1\/10, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let q be -3 - ((-4620)\/276 - -14). Which is smaller: q or 1\/11?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of (2\/(-5))\/((-9)\/135).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1.1 - 1.9. Let v = 5.3 - 2.4. Let k = v + j. What is the nearest to -2 in 0.5, -1\/7, k?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 21755 to the power of 1\/3, to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-96)\/(-80))\/((-3)\/10)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 4*(2 - 6\/4). Let c(q) = 3*q + 2*q - q**3 + 2*q**l + 2*q - 5. Calculate c(4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(z) = -4*z**3 + z**2 - 1. Give b(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 minutes after 7:21 AM?\nAnswer: 8:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 20824.\nAnswer: 2, 19, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 383585983 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Does 36 divide 10980?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -45111 divided by 5.\nAnswer: -45111\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 x, 1 k, and 2 r when four letters picked without replacement from yykkrxkrykkvxkvx?\nAnswer: 9\/910","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 5 and 28195225?\nAnswer: 28195225","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Does 583511849\/4 = 145877962?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 0 (b) 2.4 (c) -9\/11 (d) -0.25\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 136680012 to the nearest integer?\nAnswer: 11691","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 893590 is divided by 123?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -783 - -1325. Let r = -196 + d. What are the prime factors of r?\nAnswer: 2, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(w) be the third derivative of w**5\/60 + w**4\/3 - w**3\/2 + 2*w**2 + 45*w. Calculate s(-5).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -23*i + 234 = -5*i. Let y(p) = -p**3 + 14*p**2 - 12*p + 23. What is the remainder when 394 is divided by y(i)?\nAnswer: 34","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 1078.68 and 61069?\nAnswer: 59990.32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = q - 1 - 5*q - 9*q**3 + 0*q - 6*q**2. Let m(h) = 64*h + 203*h**2 - 35*h - 220*h**2 - 40*h - 3 - 26*h**3. Determine 6*m(l) - 17*r(l).\nAnswer: -3*l**3 + 2*l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -13 + 15. Solve -8*v + 3*v = -n*l - 4, 4*l = 3*v + 6 for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -3\/2, -1\/5, 373?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*r + 15 - 5 = 0. Let i(m) = -3*m**2 + 4*m**2 + 3 + 0*m**2 - r. Let z = 2 - 3. Let s(w) = 3*w**2 + w + 2. Give z*i(v) + s(v).\nAnswer: 2*v**2 + v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let y be ((-4)\/(-3))\/((-2)\/(-3)). Suppose x - 20 = 3*p, -3*x = y + 10. Let d = p + 14. What is the units digit of d?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*b - 2*i + 1232, -1464 = -4*b + 4*i + 1016. Calculate the remainder when b is divided by 154.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence iini when four letters picked without replacement from nbnbbbnibiibbn.\nAnswer: 1\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(76) - sqrt(76)*-2) + sqrt(76))*2)\/(sqrt(100) - (sqrt(100)*1 - sqrt(100))) + 3 + (-1*sqrt(76))**2 + -4 + 3*sqrt(304).\nAnswer: 68*sqrt(19)\/5 + 75","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -3656*l**2 - 20644 - 7721*l**2 + 25502 wrt l.\nAnswer: -22754*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(d) = 2*d + 18. Let g be h(-6). Find the third derivative of -11*j**g + 13*j**2 + 796 - 2*j**2 - 796 wrt j.\nAnswer: -1320*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -321 (base 5) to base 6\nAnswer: -222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 1, u: 1, m: 1, p: 1, o: 1}. What is prob of picking 1 m, 1 p, and 1 n?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 2*d**2 + 22*d - 29. What is the hundreds digit of n(-16)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/4? (a) 0.2 (b) 54 (c) -0.06 (d) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 1 or -4\/2133?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(i) = 4*i**2 - 47*i - 10. Determine x(12).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in -6897\/8, -1\/7, 2\/11, -0.64?\nAnswer: -6897\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47844288.\nAnswer: 2, 3, 83063","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(n) = -4*n**2 - 12*n - 6. Let b(v) = -3*v**2 - 11*v - 5. Calculate 7*b(g) - 6*p(g).\nAnswer: 3*g**2 - 5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.1? (a) -33 (b) 0.4 (c) 4 (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 0.8 + -0.3. Let l = 0.0316 + -0.2316. Let m = 0.2 - 1.2. Which is the second biggest value? (a) m (b) l (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 902*c + 5*c**5 - 177*c - 259 - 59*c**4 - 760*c**2 + 9 + 350*c**3 - 11*c**4 = 0. What is c?\nAnswer: 1, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 79 a factor of 2765?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*u = -3*t + 51, -4*t + 3*t = 5*u - 61. Suppose 0 = n - 4*f - 25, 2*n + 4*f = 2 - u. Which is the smallest value? (a) 0.3 (b) n (c) -2\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5920640 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-2)\/5 - (-240)\/100. Let z = w - -9\/2. Which is bigger: 6 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 79, 311, 699, 1243, 1943, 2799?\nAnswer: 3811","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from wpslpmppmlkmppllkm. Give prob of picking 1 l, 1 m, 1 k, and 1 w.\nAnswer: 8\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2\/(-40)*-12)\/((-1)\/((-105)\/(-3))).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -1559429, -1559437, -1559459, -1559501, -1559569?\n\"Answer: -f**3 - f**2 + 2*f - 1559429","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 17 - -2553996905.\nAnswer: 2553996922","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: 13\/52 + (-38)\/8 - -3\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 212397089.\nAnswer: 31, 47, 145777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 4 + -4. Suppose 2*n - 3*n = a. Suppose n = -2*i + 82 + 18. Calculate the remainder when i is divided by 17.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -283461.7778 rounded to the nearest 1000?\nAnswer: -283000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 19753117?\nAnswer: 223, 283, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -35*r + 27*r = -16. Suppose 3*z + 4*m = 84 + 485, -z + r*m = -183. Is z composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 80712 divided by -6.\nAnswer: -13452","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t + t - 8 = 0. Let p = -2 + t. Suppose -5*l = 0, -l - 66 = -2*q - p*l. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 8 + 2\/4*0. Suppose y*d - 3*d = 0. Suppose 0*w + w - 4 = d. Solve 0*i = -i - 2*a + w, -5*a + 10 = 0 for i.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -98 - -101. Suppose 5*r = n*k - 5, 2*k + 0*k = 2*r + 10. Let p(s) = -20*s**3 + 2*s + 1. Calculate the remainder when p(-1) is divided by k.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f + 66 = 4*q - 7*q, 5*q - 26 = -f. Is 4\/(-8) + f\/2 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 65 - 73 - 46 - 59 + 19*r. Give o(7).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 170, 344, 518, 692?\nAnswer: 866","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 55604 is divided by 262.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (66\/(-55))\/(3\/(-25)). Let d = l + -11. Let s = -21\/50 + -2\/25. Is s < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -72, 32\/5, 2\/7?\nAnswer: 32\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(m) = 2*m**3 + 6*m**2 + 6*m. Let s(f) = -6*f**2. Let c be s(-1). Let v(n) = 6*n**3 + 17*n**2 + 17*n. Let z be 83\/5 + (-4)\/(-60)*6. Give c*v(l) + z*t(l).\nAnswer: -2*l**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-3)\/2 - ((-136)\/16 + 2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (2 - 1) + (-5 - (2 + -10))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 27*u = 71 + 307. Solve -u*i + 29 = -27 for i.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4762000 rounded to the nearest one million?\nAnswer: 5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.5*30274780.\nAnswer: 15137390","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Put 899, -4, 20, 586 in descending order.\nAnswer: 899, 586, 20, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {j: 4, n: 2, p: 6, g: 3}. Give prob of picking 2 n, 1 j, and 1 g.\nAnswer: 4\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 3745519 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from ntczutvzv. Give prob of picking 2 t.\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -29*p**3 + 24*p**3 + 5*p**2 - 5*p**2.\nAnswer: -5*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Does 20 divide 160?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -180*h + 1692*h + 1638*h to the form j*h + n and give j.\nAnswer: 3150","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f(w) = w**3 + 4*w**2 + 3. Suppose 7*h + 116 = 88. Give f(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1771001989 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r(b) = 2*b**2. Let l(j) be the third derivative of -j**4\/8 + 2*j**2. Let d(x) = -x. Let o(q) = -d(q) + l(q). Calculate r(o(g)).\nAnswer: 8*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 e when four letters picked without replacement from {y: 2, e: 10}.\nAnswer: 14\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let g(b) = 2*b**3 + 20974*b**2 + 73290146*b + 85383024748. Let l(m) = -2*m**2 + 2*m + 1. Let t(c) = 2*g(c) + 4*l(c). Factor t(i).\nAnswer: 4*(i + 3495)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the second derivative of -z**4\/4 + z**3\/6 - 8*z + 5. Let v(a) = -7*a + 7*a + 2*a**2. What is p(v(d))?\nAnswer: -12*d**4 + 2*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-58 + 55 + -43)\/(16\/2)?\nAnswer: -23\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (m + 0*m - 3*m - 3)*(m - 8*m - 4*m).\nAnswer: 22*m**2 + 33*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) -3810 (b) 0.81 (c) -0.5 (d) -3 (e) 481 (f) -1 (g) 1\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -2 (b) -2\/15 (c) -263 (d) 0 (e) -5\/273 (f) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00284939692 rounded to 7 dps?\nAnswer: -0.0028494","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5, 5, 3, 3\/4.\nAnswer: -5, 3\/4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 4 y when four letters picked without replacement from {y: 4}.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: -162045 (base 7) to base 5\nAnswer: -2010212","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 2 in 0.39, 2\/11, 2\/3, -0.6, 183, -5?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 32342920?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -19 - -6. Let q = p + 19. Calculate the lowest common multiple of 22 and q.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/5 in 4.4, 182\/43, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is (-21)\/(-6)*(16 - 2) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is fifty-five halves of a gram in milligrams?\nAnswer: 27500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 41*m**2 - m + 51 with respect to m.\nAnswer: 82*m - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in 0.29, -2, -1\/11, 0.3, 0.1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = -97*g - 2. Let m(k) = 98*k + 2. Calculate -2*m(r) - 3*v(r).\nAnswer: 95*r + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 180 and 6?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 divided by -68907.\nAnswer: -2\/68907","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(24) - (sqrt(24) + sqrt(120)\/sqrt(80) - sqrt(24)))\/(5*sqrt(8)*3))**2*3.\nAnswer: 9\/400","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3 (b) -1 (c) -0.0814 (d) -11414\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is 188828255 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: Suppose -2*d - 3*i + 3 = -3, 5*d + 4*i - 15 = 0. Suppose -d*k - k + 252 = 0. List the prime factors of k.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = 12*s - 11. What is f(1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 168894?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = n + 25 - 32. Suppose c - 5 = 3*d, 9*d = -4*c + n*d + 48. Let y be (-23)\/(-2) + 9\/(-18). Calculate the highest common divisor of y and c.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 582 divide 17322066?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Express 2*m - 25 + 7 + 32*m**3 + 134*m**2 - 34*m**3 + 19 as p*m**2 + g*m**3 + q + j*m and give g.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(s) be the second derivative of -3\/2*s**2 + 3 - s**3 - 5\/16*s**4 + 3*s - 3\/80*s**5. Find c, given that a(c) = 0.\nAnswer: -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 31879 times 0.0576\nAnswer: 1836.2304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 1409937923 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-854)\/122 + (-835)\/(-95) + -2.\nAnswer: -4\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let 5*y**3 + 9265*y**2 - 357805*y + 2808135 = 0. Calculate y.\nAnswer: -1891, 11, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (108\/99)\/6*1\/1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k(j) be the first derivative of -34*j**6 + 4*j**3\/3 + 65*j**2\/2 + 678. Find the third derivative of k(l) wrt l.\nAnswer: -12240*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 1467 and 9?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = -3*z**3 + 10*z + 3. Let m(d) = 2*d**3 - 9*d - 2. Calculate -4*m(x) - 3*t(x).\nAnswer: x**3 + 6*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -4.7 - -5. Let g = 908.1 - 908. What is the smallest value in h, 12, g, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve t = 5, 14 = 6276*h - 6275*h + 3*t for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is 606.6234ml in litres?\nAnswer: 0.6066234","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:19 AM and 10:19 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Put 14135, -5, -24 in descending order.\nAnswer: 14135, -5, -24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 2 - 2*m**4 + 41*m - 4 - 41*m - m**3 in the form h*m + n*m**2 + t*m**4 + j*m**3 + p and give j.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -0.1? (a) 0.05 (b) 0.4 (c) -76 (d) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let i be (-21)\/(-14) - (-6)\/4. Suppose 0 = -k - i*j + 48, 3*k - 2*j - 27 - 73 = 0. What is the remainder when k is divided by 8?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -15*o = -20*o + 60. Suppose -7*r = -o*r. Let q(u) = u**2 - u - 4. Let x be q(3). Solve k - x + 1 = r for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 f and 2 j when three letters picked without replacement from fyffyyffyyyyfjj?\nAnswer: 6\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*l + 147805 = 35*l. Calculate the greatest common divisor of l and 123.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:53 AM and 11:48 AM?\nAnswer: 355","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3304?\nAnswer: 2, 7, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Are -468 and -1632 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in 2\/9, 354, 1?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 88 and 86129703?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 80 = -8*s + 4*s. Let m = 20 + s. Suppose 10*r - y - 2249 = 5*r, -5*r + 3*y + 2247 = m. What is r rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1428214.\nAnswer: 2, 714107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 42, 86, 134, 186?\nAnswer: 242","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 147 = -3*f + 3*r + 702, -2*r = f - 194. What is the hundreds digit of f?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -482, -534, -586, -638, -690?\nAnswer: -742","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -8 + -11d?\nAnswer: -127","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2014*t - 2589*t - 2905 = -616*t + 1082. Let a = -2 + 3. Sort a, 2, t, 46 in increasing order.\nAnswer: t, a, 2, 46","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.070395483 rounded to one dp?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) = 3*a**2. Let r(q) = 376*q**2. Determine g(r(c)).\nAnswer: 424128*c**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 605 and 69938.\nAnswer: 349690","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -190 + 190. Suppose 4*h - 5*d + 4*d = 4, h - d - 4 = m. Solve -f + 2*f + c - 5 = h, -5*c = -15 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -27 + 19 + 2 + -3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*((1 + sqrt(8) - sqrt(12)\/(sqrt(6)*1 + sqrt(6))) + sqrt(36)\/(sqrt(6)\/sqrt(3))))**2.\nAnswer: 144*sqrt(2) + 664","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*x = -0*x - 76. Let q = 7 + x. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be 4 - (6\/(-3))\/2. Suppose 0 = 4*k + 8, 2*o - 65 = -3*o - v*k. Suppose n + 0*n - o = 0. What are the prime factors of n?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:53 AM and 6:40 PM?\nAnswer: 707","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 4709 is divided by 2349?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 48140714?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: How many millimeters are there in three fifths of a meter?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x be 7\/(7\/(-2))*-1. Suppose -u + x*b + 24 = 3*u, b + 22 = 4*u. Solve -u*w = -w for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 529616 is divided by 58840.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let t(p) = p**3 + 1. Let c(y) = -3*y**2 - 2*y + 12. Let z(k) = c(k) - t(k). Is z(-8) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s + 4*y + 26 = -y, 0*y = 5*s + y for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the nth term of -6948, -7778, -8598, -9402, -10184?\n\"Answer: n**3 - n**2 - 834*n - 6114","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 90\/17, -157, 0.9, 4\/9?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 24353?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from adlaaaccadlayllyyadl. Give prob of picking 1 a and 1 d.\nAnswer: 21\/190","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -2, -28, -0.1 in increasing order.\nAnswer: -28, -2, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 1, y: 1, l: 3, t: 2, r: 6}. What is prob of picking 1 y and 1 t?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let t be ((-3)\/(-2))\/((-8)\/(-16)). Suppose -2*a = -t*a. Suppose 2113 + 21912 = 2*l - 5*z, a = 4*l - z - 48005. Round l to the nearest 10000.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -75 - -511\nAnswer: 436","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 15 - 6. Suppose -967 = -y*g + 302. Let h = g + -136. Solve -2*k + h*d - 21 = 0, -d - 9 + 3 = 3*k for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3949391 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aavboaboaouvjobvva. Give prob of sequence vu.\nAnswer: 2\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 9*z - 10 = -10*z, 5*x - 13 = 2*z. Let s(i) = -7*i + 4. Let f(g) = -6*g + 3. What is x*s(w) - 4*f(w)?\nAnswer: 3*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let l(m) be the first derivative of -m**4\/4 + 8*m**3\/3 - 17*m**2\/2 + 14*m + 9937. Determine l(7).\nAnswer: -56","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 38412 by 1067.\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((l\/(l**(1\/18)*l))\/(l**(2\/19)*l))\/(l**(-12)\/(l\/l**(-1\/17)*l)) assuming l is positive.\nAnswer: l**(74989\/5814)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 195 minutes before 1:14 PM?\nAnswer: 9:59 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 196166\/212485 + -2\/16345. Factor 2\/13*q**2 - 2\/13*q - h.\nAnswer: 2*(q - 3)*(q + 2)\/13","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 92 minutes after 11:33 AM?\nAnswer: 1:05 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 23 divide 24308?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 663394156.\nAnswer: 2, 165848539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence xx when two letters picked without replacement from xggxvxxvvccxx?\nAnswer: 5\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(n) = -n**3 - 9*n**2 - 7*n + 9. Determine y(-8).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 14 a factor of 781?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 1 - -1896838?\nAnswer: 1896839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 1 + (7 - 15 - -6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 5094618.\nAnswer: 2, 3, 849103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 26 + -14. Let y(h) = -h**3 + h**2 - 3. Let u be y(3). Let c = u + 32. Solve 5*m - 32 + c = 2*b, 4*m - n = 0 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from uuuuuuuuu. Give prob of picking 4 u.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 45038639?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16*x**2 - 9*x**2 - 2*x**2 + (2*x**2 - 2*x + 2*x)*(-36 - 10 + 12) to r*x + o + b*x**2 and give b.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-3)\/(12\/(-14)) + (-3)\/6. Solve 8*a + 3*x + 19 = 4*a, -t*x - 18 = 3*a for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13199819 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-180*(-64)\/1920)\/((-6)\/57)\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {b: 1, c: 5, u: 1, d: 1, q: 1}. Give prob of picking 1 b, 1 u, 1 q, and 1 d.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of (-10)\/8 - (-3112)\/32?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*t**3\/17 - 676*t**2 + 2868910*t\/17 - 175340616\/17 = 0. What is t?\nAnswer: -5988, 121","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 0 + -0.5. Let z = 0 + i. Suppose -2*t = -7*t - 10. Which is the smallest value? (a) z (b) t (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*y - 8*u + 2 = -6*u, -13 = 4*u - 17 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let p(h) = -9*h. Let m(x) = 5*x**2. Calculate p(m(t)).\nAnswer: -45*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2407\/7 + -346. Calculate the common denominator of c and ((-5)\/(-10))\/((-4)\/46).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2138?\nAnswer: 2, 1069","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) be the third derivative of c**6\/120 + c**5\/12 + c**4\/24 + 13*c**3\/6 + c**2 - 60. Determine a(-6).\nAnswer: -29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3*(1 + -4 + (sqrt(13) - (1*sqrt(143))\/sqrt(11))**2 + (((sqrt(351)*1 - sqrt(351)) + sqrt(39))\/sqrt(3)*-3)**2).\nAnswer: 342","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 90789 to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 435 = 5*o + 455 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1682)\/(-28))\/29 - (38\/(-38) + 4\/7)?\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 457120330*l**2 - 999413686 wrt l?\nAnswer: 914240660*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is (-14)\/(-168)*1\/(-1)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 6 + 1. Let r = n + -6. Let a(s) = 1 + s - r + 0 + 1. Calculate a(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 m and 2 r when four letters picked without replacement from pzmzzmpprpzrzmppppp?\nAnswer: 1\/1292","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 5913, 5926, 5939, 5952, 5965, 5978?\n\"Answer: 13*u + 5900","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Express 1 + 2*s**2 - 5*s**3 - 4 - s**4 + 6*s**3 in the form m*s + l + b*s**3 + z*s**2 + c*s**4 and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 1916?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 81 times 0.1\nAnswer: 8.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Express 0*n - 3*n - 6*n as z + d*n and give d.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -4568*r**2 - 2*r + 592.\nAnswer: -9136","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth smallest value in -0.6, -578, 0.1, -2, 6, 2\/7, 2?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 14435652 and 198.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*p - 8*w + 12*w - 31, -5*w = -p - 31. Sort p, 0.05421, -5 in decreasing order.\nAnswer: 0.05421, p, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 296437 is divided by 774.\nAnswer: 769","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1095\/4 (b) -2 (c) -0.3 (d) -1 (e) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by 83402251.\nAnswer: -4\/83402251","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 1 in -95, -5, 3, -3\/106?\nAnswer: -3\/106","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = -5201.7 - -5202. Let u = -12 + 9. What is the second smallest value in 1\/8, c, u?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 103\/1098 and (806\/(-9455))\/(44\/(-35)).\nAnswer: 12078","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be 1\/2 + 129\/6. Let d(h) = -h**2 - 8*h + 24. Let n be d(-10). Suppose 42 = -n*t + 130. What is the highest common divisor of r and t?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 3 b and 1 n when four letters picked without replacement from {b: 12, n: 6}.\nAnswer: 22\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 44045?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 83\/174716 and -61\/19726.\nAnswer: 1223012","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence gggr when four letters picked without replacement from {g: 5, m: 2, r: 6}?\nAnswer: 3\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let a(t) = -t**2 + 5*t - 2. Let p be a(4). Let i be 10\/3 + p\/3. Let w(f) = -i*f + 7 + 5 - 14. Calculate w(2).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 17586\/29310*2\/(12\/25)\nAnswer: 5\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 0.02, -15, -0.3 in descending order.\nAnswer: 0.02, -0.3, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let k(i) = i**2 + 17*i + 27. Let j(y) = y - 1. Let g(f) = 3*j(f) + k(f). Let d be g(-19). Suppose 8*v + d*a - 220 = 3*v, 3*a = -12. List the prime factors of v.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q - 4 = 8. Suppose -q*a + 2*a = -16. Suppose -l = -5*g - 10, -4*l + a = -5*g - 2. Let f(r) = -2*r**3 - 4*r**2 - 3*r - 2. Give f(g).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 16906000 rounded to the nearest one hundred thousand?\nAnswer: 16900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Sort -5\/3, 0.4, -0.3, -1131\/2, 2.\nAnswer: -1131\/2, -5\/3, -0.3, 0.4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0041962 to two decimal places.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor -9*r**3 + 5 - 3 - 3*r**4 - 2.\nAnswer: -3*r**3*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: 48 + (-34 + 36 - 0) + 2 + 1 - 2\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 7 + -6. Let x(o) = 5*o**3 + 2*o**2 - o. Let g be x(w). Solve -g*a + 3*a = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l = 5*c + 8, -l + 6*l + c - 118 = 0. Suppose -1 = -2*h - 7. Calculate the remainder when (-128)\/h + (-2)\/(-6) is divided by l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(45)\/(sqrt(9) + sqrt(36)\/sqrt(4)) + 2*sqrt(5)*-2 + -2)**2 + (5*(sqrt(15) + -1*sqrt(2160))\/sqrt(3))**2 + 5.\nAnswer: 14*sqrt(5) + 60781\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Put 14, -6, 2, -3, -9, -4 in ascending order.\nAnswer: -9, -6, -4, -3, 2, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 247 + 395*w + 410*w - 12*w + 30*w + 52 wrt w?\nAnswer: 823","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/11 (b) 0.5 (c) 1\/7 (d) 23\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-1 - (-15)\/(-9))\/(-6). Let q be (-1 + 6 - -40) + (-15)\/(-5). Let k = 49 - q. Which is smaller: o or k?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -4*((-16)\/104*13)\/10.\nAnswer: 4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from odeedee. Give prob of picking 1 e and 2 d.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -186 + 181. Let f = -3 - -2. Let t = -6.7 + 10.7. Which is the fourth smallest value? (a) 5 (b) f (c) t (d) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(g) = 13365*g + 1496880. Calculate n(-112).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is -17840 (base 14) in base 10?\nAnswer: -59248","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 17 - 0. What is the remainder when 252 is divided by r?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 3090 and 4944?\nAnswer: 24720","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -5*z + 8. What is s(6)?\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Add together -179.25 and 0.09724.\nAnswer: -179.15276","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Does 494 divide 19359860?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: (7\/(-2))\/((35\/7)\/10)\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -0.1 in -4, -0.3, -1\/2, 1496397, 1\/2, -3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(f) = -f**2 - 1. Suppose 4*c + 2*l = 3 - 7, 0 = 3*c - l + 8. Let k(z) = -z**2 + 3. Let a(p) = c*t(p) - k(p). What is the derivative of a(r) wrt r?\nAnswer: 6*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wwwk when four letters picked without replacement from wkww.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 g and 1 i when three letters picked without replacement from ocwggip.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 18081 and 18081.\nAnswer: 18081","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (h**(-4\/9)\/h)**4 assuming h is positive.\nAnswer: h**(-52\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-21)\/15 - (-3 - -7)\/(-4)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18786 and 278814.\nAnswer: 186","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Is 587 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**2 - 99*p + 2177. Give x(67).\nAnswer: 33","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-523)\/(-4) - 1\/(-4). Suppose 4*b - 4*d = -236, -3*b + 5*d + 132 = -5*b. Let t = f + b. List the prime factors of t.\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 0*l = -3*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*v + 4*n + 100 = 0, -99*v + 97*v + 64 = -2*n for v.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is -12*(-6)\/(-162)*3?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 6144945 to the power of 1\/3, to the nearest integer?\nAnswer: 183","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000014185 rounded to 5 dps?\nAnswer: -0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -32807, -65615, -98423, -131231?\n\"Answer: -32808*f + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 16.9 - 104.9. Let b = -89 - s. What is the third biggest value in b, -3, -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -43 + 52. Solve 0 = 5*r + d + 11 for r.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((-2 + sqrt(2299) - sqrt(2299)) + -2)**2.\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) -18 (b) -4 (c) 5\/4462 (d) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {m: 1, q: 2, l: 1, i: 1, x: 2}. Give prob of picking 2 x.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*f - 2640 = -2*n, 3*n + 44*f - 3948 = 43*f. Does 3 divide n?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + (sqrt(11) - (-1 + sqrt(176)))**2.\nAnswer: -6*sqrt(11) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 2*m = 0, 4*m + 2 = -4*w + 18. Factor -8*i**2 + 0*i**w - 3 - i**3 - 2*i**2 + 5*i**2 - 7*i.\nAnswer: -(i + 1)**2*(i + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -725296*p**5 + 4260*p.\nAnswer: -14505920*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 7743493*b*h**2 - 5*b*h - 2389*b - 37 wrt h.\nAnswer: 15486986*b","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 - 1 - (0 + -14) - (27545 + -27568).\nAnswer: 37","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(v) = 19*v**2 + 25*v - 5. Let q be -2*(220\/8)\/5. Is g(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 2247, 8882, 19931, 35394?\n\"Answer: 2207*o**2 + 14*o + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1.226*0.14.\nAnswer: -0.17164","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 102 + -101.953. Let k = -5.147 + u. Let q = k - -0.1. Which is the second smallest value? (a) 0.2 (b) q (c) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -34\/25 and -1\/444135.\nAnswer: 2220675","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 3*g - 40. Let t be v(14). Suppose t*s = 5*a + 75, a - 19 + 18 = 0. Calculate the highest common divisor of 40 and s.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3526 is divided by 75?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -291 divided by -291.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 9 - 1. Let b = -5 + q. Differentiate -b*a - 2 - 2*a**3 + 3*a with respect to a.\nAnswer: -6*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-5 + -5*-6*(sqrt(325)*1*6*-2)**2)*1.\nAnswer: 1403995","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -8*w + 12078 = 1902. Does 53 divide w?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 285 + 612. Differentiate 39*m - f + 0*m**2 + 886 - 2*m**2 wrt m.\nAnswer: -4*m + 39","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 173278028 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 235, 1040, 2377, 4246?\nAnswer: 6647","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -83, -83, -69, -35, 25, 117?\nAnswer: 247","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 704 and 20?\nAnswer: 3520","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve -12*n - 3*n = 7*n + 154 for n.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put 33927, 3, 2, 4, 5 in descending order.\nAnswer: 33927, 5, 4, 3, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -21394 + 21394 + 18*w.\nAnswer: 18*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -3*t**2 + 12*t**2 + 2*t**5 - 9*t**2 + 3*t wrt t.\nAnswer: 40*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -20*k + 43*k - 482*k**2 - 355*k**2 + 2*k - 25*k.\nAnswer: -837*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 0.62, 0.16, -1, -3, 1\/7, -33?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: -53908.8 * -0.5\nAnswer: 26954.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Sum 817210 and -9.\nAnswer: 817201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let n(b) = -55*b - 22. Let c(t) = -3*t. Let h be c(-1). Let s(x) = -8*x - 3. Calculate h*n(q) - 22*s(q).\nAnswer: 11*q","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 3758 to the power of 1\/4, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is -12201102001 (base 3) in base 13?\nAnswer: -3c30a","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"} +{"text":"Question: Let d = 8776 - -656. Is 16 a factor of d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -279 - -865. What are the prime factors of o?\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out 304 * -0.1.\nAnswer: -30.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -212 - -217. Solve v = f*v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vpp when three letters picked without replacement from {v: 10, p: 10}?\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -20993, -42084, -63267, -84542?\nAnswer: -105909","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1415311 or -1415289?\nAnswer: -1415289","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Is 1804 + (-8 - -27) - 0 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(b) = b**2 + 5*b - 4. Let i be l(-6). Suppose i*f = v - 12, -f + 14 + 7 = v. Calculate the remainder when v is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 33 - 137. Let o = u - -2. Let b = o - -182. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2234 + -4?\nAnswer: -2238","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = y + 4*f - 6*f + 10, 3*y + 15 = f for y.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) = 4*x**3 - 32*x**2 - 24*x + 9. What is the thousands digit of y(11)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 22*x = 5*x + 119. Find the second derivative of -44*c**2 - 23 - x*c + 13*c + 9*c + 26 wrt c.\nAnswer: -88","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -11 (base 3) to base 10\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Work out -11 * -0.23.\nAnswer: 2.53","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 8*w**2 + 3 + 2*w - 1 - 15*w**2 + 6*w**2. Let c be k(3). List the prime factors of ((-6)\/4)\/(c\/24).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 1 + -101201220021?\nAnswer: -101201220020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) be the second derivative of 0*k**5 - 1\/6*k**4 + 3\/5*k**6 + 0*k**2 - 18*k + 0*k**3 + 0. Find the third derivative of j(m) wrt m.\nAnswer: 432*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(p) = 3*p - 9. Let a be (-1)\/(-4) - 63\/(-4). Let q = a + -9. What are the prime factors of r(q)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 178*q - 175*q - 5*y = 484, 0 = -q - y + 172. Calculate the highest common factor of 7 and q.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(p) = 5*p**3 + 5*p**2 + 5. Let k be (-11)\/(-1)*(-77)\/11. Let u = 72 + k. Let t(s) = 3*s**3 + 2*s**2 + 2. Give u*t(q) + 2*l(q).\nAnswer: -5*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of 134, 126, 118, 110?\n\"Answer: -8*k + 142","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is -10110101011 + 100100001?\nAnswer: -10010001010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 317 (base 10) to base 15.\nAnswer: 162","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 minutes before 5:45 AM?\nAnswer: 5:25 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(76) + 0)**2 + 5 + sqrt(19) + (sqrt(38)\/sqrt(2) - sqrt(19)).\nAnswer: sqrt(19) + 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 411 is divided by 60?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*f - 2844 - 21856 = 0. Let c = f + 2703. List the prime factors of c.\nAnswer: 11, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*d**3 + 2680*d**2 - 448900*d.\nAnswer: -4*d*(d - 335)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -d - 171 = 2*v - 12, -5*v - 399 = 4*d. Which is smaller: -1\/5 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 5320 - 5320.14393. Let o = b - -0.1506. What is o rounded to 3 dps?\nAnswer: 0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand b**4 - b**3 + b**3 + (-63*b**3 - 578*b + 578*b)*(-3 + 3 - 2)*(-2 - 2 + 5)*(-3*b - b + 5*b).\nAnswer: 127*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -60 = 3*m - 4*t + 233, 3*t - 297 = 3*m. Let h = m - -107. Suppose -24 - 8 = -h*k. Solve -5*r - 23 = -k for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) = j**2 + 4*j - 2. Let x(i) = 4*i**3 - 2*i**2 + 16*i - 14. Let c be x(1). Calculate v(c).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -18044 - -2544206\/141. Which is smaller: -13 or v?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {g: 3, a: 7, u: 2}. Give prob of sequence gg.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 5 + 47 + (19 - (-24 + 10)).\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 29*a - 283 - 1562 + 19*a - 95*a.\nAnswer: -47*a - 1845","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round 7689.994 to the nearest one thousand.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-4*(sqrt(114) - 1*sqrt(114)))\/sqrt(6).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Solve 626 - 3166 = 254*w for w.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -532 + -13?\nAnswer: -545","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 23950\/62979 + 2\/2999. Let w = g - 5\/21. Which is greater: w or 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find x such that -5*x**2 - 14175*x - 1603030 = 0.\nAnswer: -2717, -118","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*i = -2*h - 10 - 2, 4*i - 5*h = 13. Solve -b + i = b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 20113?\nAnswer: 20113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i + 5940 = -5*i. Suppose -i = -2*n + 2185. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (-3 - (-100)\/30)\/((-2)\/(-126)). Solve d*w - 23*w = -2 for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = 41421*w + 786965. Determine o(-19).\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 3418 = -z, 4*k + 2218 = z - 1240. What is the lowest common multiple of z and 3997?\nAnswer: 23982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -374, -689, -1002, -1313, -1622?\nAnswer: -1929","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1808339 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) -23 (b) -2\/11 (c) -1 (d) 8\/4723\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3213 (base 4) to base 5.\nAnswer: 1411","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 27 (b) -4 (c) 0.2 (d) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1237 is divided by 262.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.2456 - 0.215. Let o = -2.02 - -2. Let t = p + o. What is t rounded to 3 dps?\nAnswer: 0.011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 208 and 884?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = -2*d**2. Let r(z) = -6*z + 20 + 4*z + 0*z. Determine r(c(g)).\nAnswer: 4*g**2 + 20","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 41 or 0?\nAnswer: 41","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-674*b**2 - 1106*b**2 + 246*b**2 - 1302*b**2)*(0 + 0 + 2*b).\nAnswer: -5672*b**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from wwfem. Give prob of sequence efm.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 7904362?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 10.1 - 13.1. What is the closest to -1 in b, 5, -3\/7?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -1038, -4332, -9870, -17652, -27678?\nAnswer: -39948","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*l + l = 33. Let j be -110*(2*-1 + 1). Suppose h - j = -h. Calculate the highest common factor of l and h.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 151 + -360. Let m = 209 + n. Is m at least 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -329*v - 511 - 805 = 0. Sort -3, v, -176, 0 in descending order.\nAnswer: 0, -3, v, -176","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*m**(-4))**47*m\/(m**(-1\/4)\/m)*m*m\/(m*m*m**(-14)))**(1\/60) assuming m is positive.\nAnswer: m**(-499\/240)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 1 (b) -249511415 (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 565 is divided by 197?\nAnswer: 171","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2123142?\nAnswer: 2, 3, 7, 50551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*(5 + 2*sqrt(99)*3 + -2 + 3 + -1))**2.\nAnswer: 180*sqrt(11) + 3589","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = 6, 4*x = 7*i - 2*i + 565. List the prime factors of x.\nAnswer: 5, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 18, 3, -48061 in increasing order.\nAnswer: -48061, 3, 18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = 3*m**2 - 143*m + 1133. Give o(10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(l) = 5*l**2 - 6*l - 2. Let k be p(-7). Suppose 49*n + k = 52*n. What is the units digit of n?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-306)\/1804 + (-12)\/(-72). Let y = -136661\/2706 - v. What is the common denominator of 65\/46 and y?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (72 + -73 - (-5 - 100\/(-15)))*(-75)\/(-20).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 41, 190, 445, 812, 1297, 1906?\nAnswer: 2645","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 0.032 - 0.132. Suppose -4*c + 2*d + 12 = 0, d + 3 + 4 = 3*c. Let g be ((-1)\/15)\/(c\/(-3)). Sort l, g, 2\/13 in decreasing order.\nAnswer: g, 2\/13, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = 734*x**3 - 5*x**2 + 2*x + 27. Is b(4) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 21419.\nAnswer: 21419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 3\/4 in 0.09, -2\/11, -0.4, 3?\nAnswer: 0.09","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Add together 0.675465611 and -24.\nAnswer: -23.324534389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:52 AM and 12:38 PM?\nAnswer: 706","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3773?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = n + 8. Let w(f) = 1205*f + 1557. Let r(h) = 5*m(h) + w(h). Find the first derivative of r(i) wrt i.\nAnswer: 1210","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -39b5e (base 16) to base 6\nAnswer: -5022210","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 h and 2 v when three letters picked without replacement from {r: 3, h: 4, v: 7}?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -1\/679613 >= -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -0.36 + -2.44. Let m = x + 1.9. Let t = m + -0.1. Which is the third biggest value? (a) t (b) -0.1 (c) 2\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*u + 13*u = 58820. Suppose -21*h = -16*h - u. Is h prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 12\/(((-6)\/10)\/(27\/(-90))).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from unrubunhhuhuuu. Give prob of picking 1 b and 1 h.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 101 + 129. Calculate the remainder when j is divided by 26.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 11:15 PM and 3:58 AM?\nAnswer: 283","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Is 178 a factor of 159844?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -0.2285 - -0.3743247342\nAnswer: 0.1458247342","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is -19214475 + 6?\nAnswer: -19214469","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 13 = 4*n + z, -2*z + 0*z + 10 = 4*n. Suppose 3*c - 3*j = 1 + 8, n*c - 4 = -4*j. Factor 3\/4*w**3 - 3\/4*w + 3\/2 - 3\/2*w**c.\nAnswer: 3*(w - 2)*(w - 1)*(w + 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -126\/29 - -15333\/3509. Let m = 257\/605 - s. Let f be 0 + 5\/((-20)\/16). Which is the second smallest value? (a) m (b) -3 (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -24 + 2 + 11 + 28*a. Let y(u) = 57*u - 23. Suppose 124*t = 121*t - 9. Let w(f) = t*y(f) + 5*k(f). What is the first derivative of w(n) wrt n?\nAnswer: -31","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from bbbxbbbbx. Give prob of picking 1 b and 2 x.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 760?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -31\/30 and 65\/27.\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -44 + 4. Let n = p - -38.2. What is n rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1, -1\/2, -2, 43407 in descending order.\nAnswer: 43407, -1\/2, -1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:26 AM and 12:37 PM?\nAnswer: 491","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 + 1 + 1 - 6*m**3 - 3. Suppose -21*q - 16 = -13*q. Is o(q) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = 8*b**2 + 3*b - 1. Let y be v(2). Suppose -4*o = 123 + y. Find the common denominator of 95\/2 and (-146)\/o - (1 + 0).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 14 minutes after 7:31 AM?\nAnswer: 7:45 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (8 - 5)\/((-3)\/(-35)). Solve 18*p + x + 37 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: (2\/(-3))\/((-28)\/252)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {n: 1, i: 2, a: 4, k: 2}. Give prob of sequence an.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Convert 169e (base 16) to base 9.\nAnswer: 7843","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in -5, -0.5, 3, -2\/15, 0.5, 1396.8, 136?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -0.0889 + 58\nAnswer: 57.9111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 28895 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 14309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -52353*q - 35839 wrt q.\nAnswer: -52353","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -14\/3 + 5. Let l = -145\/3 - -48. What is the smallest value in l, 3, k?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be 1\/4 - (-15)\/4 - 2. Let s(n) = 2*n**2. Let u(o) = 34*o**2 - 16*o - 32. Let x(l) = m*u(l) - 36*s(l). Factor x(k).\nAnswer: -4*(k + 4)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 13 a factor of 12687816?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -49 - -49. Which is the nearest to -0.2? (a) -0.3 (b) u (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 73\/(-45) + (-1494)\/(-6723).\nAnswer: -7\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2120*v + 1262*v - 6 - 3792*v.\nAnswer: -410*v - 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let o(t) be the third derivative of 1\/540*t**6 + 0 + 2\/27*t**3 + t**2 - 1\/36*t**4 + 0*t**5 + 0*t. Let o(j) = 0. What is j?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v be (-10)\/18*16\/(-80). Do v and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 2045 - 2045.07. Which is bigger: 163 or u?\nAnswer: 163","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:02 AM and 7:45 PM?\nAnswer: 643","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in -3, -2, 7, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*l + 4 = 3*d + 264, 0 = -4*l + d - 208. Let x = l - -54. Suppose 9*u - x*u - 196 = 0. Is 28 not equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -831 - -11629\/14. What is the common denominator of 145\/6 and m?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -2 + 2. Suppose -5*t + z*t = -5. Let d(r) = -8*r + 1. Let k(u) = -17*u + 3. Let l(g) = 13*d(g) - 6*k(g). Let i(y) = -1. Determine t*l(v) - 5*i(v).\nAnswer: -2*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Solve -243*w - 9917 - 8460 = -4393 + 839 for w.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u + 4*f = 16, 5*f + 79 = -4*u + u. Let y = u + 20. Is y even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {c: 1, p: 1, f: 1, b: 1, x: 3}. Give prob of picking 1 x and 1 b.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 3363 + -2918?\nAnswer: 445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -61845*s**3 - 147723*s**2.\nAnswer: -371070","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 7\/110 and 151\/528?\nAnswer: 2640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -d7 + -7?\nAnswer: -100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 103 + -100. Suppose 5*g + 4 + 1 = 0, -4*f = -p*g - 63. Solve -4*r = -r + f for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 500820 to the nearest integer?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is 3 - 45?\nAnswer: -42","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 16 (base 11) in base 14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of 3256*k**2*p*z**2 - k**2 + 2*k*z**2 + 1228*k + p*z**2 + 3*p*z wrt p?\nAnswer: 3256*k**2*z**2 + z**2 + 3*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {o: 1, i: 1, b: 2, d: 1}. Give prob of picking 1 d and 1 o.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -27.2919 + 36.29572. Let k = h - 8.99. Round k to three dps.\nAnswer: 0.014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1 + 23 = 2*l. Suppose 3*r - v - 69 = 0, 5*v = -4*r + 3*v + 92. Suppose -b = -r - l. Is b a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -49 - -59. Find the third derivative of n*h**5 + 16*h**2 + h - 4*h + 3*h wrt h.\nAnswer: 600*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ssps when four letters picked without replacement from {p: 5, w: 10, s: 4}.\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 10 + 80. Suppose p - 67 = 5*u, -3*p = -2*u - 22 + 3. Let q be 8\/u + 603\/63. Calculate the greatest common divisor of q and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jyj when three letters picked without replacement from {y: 1, j: 2}?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Find b such that 32000*b**3 + 4800*b**2 + 240*b + 4 = 0.\nAnswer: -1\/20","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w(y) = 4917*y - 24583. Give w(5).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 154071059?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 2703*v - 206?\nAnswer: 2703","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 1 + 3. Find the second derivative of -2*h - h**4 - h - 2*h**t wrt h.\nAnswer: -36*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 647 minutes after 10:50 AM?\nAnswer: 9:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s + 672 = t, 0 = -4*s - t - 2*t + 2696. What is the remainder when s is divided by 86?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(i) = -12*i**3 - 2*i**2 + 59*i - 39. Is p(-19) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_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: Let n = -701.943 - 5.857. Round n to the nearest ten.\nAnswer: -710","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 90 + 273 = 79*m - 111 for m.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(c) = 1. Let i(v) be the third derivative of -v**4\/24 - v**3\/3 + 43*v**2 - 2*v. Calculate -i(s) - 6*m(s).\nAnswer: s - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Is 15054929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*t - 1 + 5 = -r, -4*t - 36 = 3*r. Let o be ((-12)\/r)\/(4\/176). Suppose 2*w + 15 = o. What is the lowest common multiple of w and 5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 8520 is divided by 1313?\nAnswer: 642","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence jcp when three letters picked without replacement from {m: 2, p: 2, c: 1, j: 2, q: 1}?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00000960864 rounded to 5 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1417*c - 2828*c + 1412*c.\nAnswer: c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 535813 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-960)\/12 - ((-4)\/2 + 6). Let u = 821 - t. What is the tens digit of u?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -9*i**2 - 51*i + 23*i + 13*i + 11*i.\nAnswer: -9*i**2 - 4*i","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.000366083 to 6 decimal places.\nAnswer: -0.000366","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 3*j. Suppose 0 = f + 2*f - 5*w - 358, -f - 3*w + 124 = j. Suppose 3*n + 6 = 39. Calculate the highest common divisor of f and n.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3134032 (base 5) in base 7?\nAnswer: 305514","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*v - 14 = -5. Let t(g) = -g**2 - 35*g - 301. Let r be t(-19). Suppose -v*h = f, 3*f + r*h = 6*f - 60. Calculate the highest common factor of 135 and f.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -4, 1, -3593 in ascending order.\nAnswer: -3593, -4, -3, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 93 a factor of 2143?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 0.085669 - 340.157669. Let b = 341 + g. What is b rounded to 1 decimal place?\nAnswer: 0.9","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = w**2 + 10*w + 11. Let t be b(-8). Let r be 7\/((0 + -5)\/t). Suppose -6*s = -r*s + 3. Solve 4*m - i = 3*i, -4*m = s*i - 7 for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0000871529 rounded to six decimal places?\nAnswer: -0.000087","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of -6724, -23816, -52290, -92140, -143360, -205944, -279886, -365180?\n\"Answer: h**3 - 5697*h**2 - 8*h - 1020","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 446 is divided by 31.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that 6*a**3 + 260*a**2 + 86*a = 0.\nAnswer: -43, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 756 and 1458324.\nAnswer: 1458324","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 9 and 321?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose l + 43 = -67. Does 13 divide (-3)\/(2 + l\/52)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 13\/15424 and 87\/15424?\nAnswer: 15424","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 2 (base 7) in base 14?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n - 2*p - 414, -6*p - 836 = -4*n - 4*p. Is n prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 4835?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is 185 minutes after 9:58 AM?\nAnswer: 1:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let x = 0 - -3. Solve 4*l = -2*s, 0*s + 4*l = x*s - 10 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 6155367 to the nearest integer?\nAnswer: 2481","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 16154361.\nAnswer: 3, 1794929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 73*m - 16491 = -166*m for m.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: -190 divided by -15\nAnswer: 38\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth smallest value in 1, -3839, 12, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-9)\/33*(-66)\/(-99).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 24 (base 6) to base 12\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: -355.7 times -83.297\nAnswer: 29628.7429","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (8\/(9 - -135))\/(-19 - 575\/(-30)).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"} +{"text":"Question: Convert 0.656243 centuries to decades.\nAnswer: 6.56243","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) = -14*h + 23. Let j(n) = 12*n - 23. Let k(a) = -5*b(a) - 6*j(a). Is 33 a factor of k(-11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 81*w + 3*t = 85*w - 35, 15 = -3*t for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 32746563 and 279?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Determine s, given that -2*s**2\/13 - 2*s\/13 = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.1 in 33\/7, -2, -4?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 161364120*g*t - 79049906*g with respect to t.\nAnswer: 161364120*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 5 + 5)*(-4*q + 0*q + 6*q)*(-2*q**2 - 4*q**2 + 5*q**2) to the form y*q**3 + z + o*q + w*q**2 and give y.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of 1880163, 3760334, 5640505, 7520676, 9400847, 11281018?\n\"Answer: 1880171*z - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let r(f) = -f**2 - 12*f - 6. Let k be r(-11). Suppose -k*x - 1 = -16. Suppose -4*n - 15 = -n. Put n, x, 5 in decreasing order.\nAnswer: 5, x, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1030966 is divided by 695.\nAnswer: 281","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 72 + -153. Let c = u - -85. Suppose 448 = c*s + 2*w - 14, 0 = -2*s - 3*w + 241. Is s prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(176) - (0 + sqrt(176))**2)*-5 - (-3*sqrt(176) - sqrt(176))*4) + 5.\nAnswer: 44*sqrt(11) + 885","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let g be 1 + 1 - (13 - 2). Let q be (g\/12)\/(-1) + 0. Let s = 0.11 + -3.11. Sort s, q, 1 in descending order.\nAnswer: 1, q, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (a**(-2\/5)*a*a\/a**(15\/8))\/(a**(2\/11)*a)**(14\/13) assuming a is positive.\nAnswer: a**(-681\/440)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*v**3\/11 - 92*v**2\/11 - 160*v\/11 + 12800\/11 = 0. Calculate v.\nAnswer: -40, -16, 10","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 - (-5 - (5 - (-2 - -13)))?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -103*o + 157 - 878 for o.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express -62 - 37 - 43 + 592*q + 179 - 40 in the form g*q + n and give g.\nAnswer: 592","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 627 minutes before 1:58 AM?\nAnswer: 3:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -547 divided by 3?\nAnswer: -547\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2*n**3\/5 - 2302*n**2\/5 - 661248*n\/5 + 663552\/5.\nAnswer: -2*(n - 1)*(n + 576)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.0037308 to 5 dps.\nAnswer: -0.00373","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Solve -74370*g + 95*f - 186 = -74366*g, -5*g + 4*f = 3 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5850 - 2?\nAnswer: 584c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 112096 is divided by 1436?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, -2, 0, -677?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose c + 3*m - 27 = 0, 0 = -2*m + 24 - 14. Solve -c*g - 37 = 11 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*i = -140 + 188. Calculate the least common multiple of 30 and i.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 449632 and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 43*w**2 + 2*w - 29. Let j = -43 - -47. Is v(j) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = -4*u + 34. Calculate g(1).\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 1.4 - 7.4. Let i = 8 + z. Let a = -65\/186 + 1\/62. What is the second biggest value in i, a, -1?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 25 minutes before 3:14 AM?\nAnswer: 2:49 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.011964 to 4 dps.\nAnswer: -0.012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 235620?\nAnswer: 2, 3, 5, 7, 11, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -s - 196 - 8*s - 36.\nAnswer: -9*s - 232","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (z*z*z*(z**(8\/7)*z*z*z)\/z*z*z)**(-26) assuming z is positive.\nAnswer: z**(-1482\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.00309718135 rounded to 4 dps?\nAnswer: -0.0031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(k) = -k**3 + 9*k**2 + 9*k - 9. Let h be (-187)\/(-22) - 1\/2. Is y(h) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 981726 is divided by 1910.\nAnswer: 1896","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 324 and 27381414?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve i + 3*l = -5, -16*i - l + 1 = -13*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -17, -10, 0 in decreasing order.\nAnswer: 1, 0, -10, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1453?\nAnswer: 1453","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -103 - -101.89. What is o rounded to one dp?\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 5437, 10835, 16259, 21721, 27233?\nAnswer: 32807","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 243 minutes after 3:06 AM?\nAnswer: 7:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let s(q) = q**2 + 3*q + 4. Let f be s(-4). Solve -j - f = j for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) be the third derivative of 1\/5*n**4 + 1 + 1\/900*n**6 - 7\/300*n**5 + 0*n + 37\/6*n**3 + 21*n**2. Let r(m) be the first derivative of d(m). Factor r(w).\nAnswer: 2*(w - 4)*(w - 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -2.903 - 0.097. What is the nearest to 0 in 6, -0.3, v?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l be 0 - (8 + -3 - 7). Solve 0 = -l*k + 3*u + 7, -2*k - 4*u = -0*k for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = l + 2366 - 2369. Solve 2*u = -2*o - u - 8, l*u + 5 = o for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 12, -4, -0.52, 2 in descending order.\nAnswer: 12, 2, -0.52, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -3 + 1.5. Let h = b - -1.2. What is the second biggest value in -0.1, h, -4?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 111\/162 + 1\/(-2). Let u = 1\/27 + s. What is the closest to 1 in 0.3, 0, u?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 62339539 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 3019962273?\nAnswer: 3, 13999, 71909","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 1367 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Work out 1.72 + 0.0328219.\nAnswer: 1.7528219","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(u) = u**3 - 18*u**2 - 43*u + 32. Determine d(-3).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -7*h - 2*h. Solve 0 = l - 3 - h for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*r + 10 = 2*n - 8, r + 5*n = 18. Suppose -9 = -j - 12. Let f be 1*((-1 - j) + 3). Put -2, r, f in decreasing order.\nAnswer: f, r, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g(h) = 19*h**2 - 10*h - 1. Let k be (12 + -11)*1*10. Let v be g(k). Let q = 7499 - v. What is q rounded to the nearest one thousand?\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 331 + -3?\nAnswer: 328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-s**4 + 3*s**4 + 0*s**4)*(s - s + s) + 14*s**5 - s - 41*s**5 + 18*s**5.\nAnswer: -7*s**5 - s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -1\/6? (a) 6\/11 (b) 3 (c) 1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(f) = -5*f**3 - 2*f**2 - 2*f - 1. Suppose -y - 1 = -0. Let s be k(y). Let h be s\/2 - (2 + -50). Calculate the greatest common factor of h and 5.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24 is divided by (-3 - -4)*-3*14\/(-6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 151448 and 979.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnantnnnnnztlllnn. Give prob of sequence tll.\nAnswer: 1\/340","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Divide -4 by -9638525.\nAnswer: 4\/9638525","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 18\/117 + 256\/26. Is -3 - i\/(-5)*2269 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 7931 to the power of 1\/3, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let f be ((-2)\/4)\/((-4)\/48). Let k be 2\/f*(1 - -14). Let v = k - -19. Does 10 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(p) = 2*p**2 + 5*p - 5. Give c(-5).\nAnswer: 20","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 3425?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 + 2 - 1)*(3 + 0 - 4)*(-35 + 35 + z)*(-5 - 6*z + 5) in the form a*z + k*z**2 + h and give k.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.07 + 778?\nAnswer: 778.07","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 1850416 to the power of 1\/3, to the nearest integer?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 4 divided by 1214.\nAnswer: 2\/607","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j**3 + 9*j**2 + 5*j - 3. Let d be (1 - -6*4\/(-6)) + -5. Give f(d).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many seconds are there in 0.503265 hours?\nAnswer: 1811.754","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-8)\/(224\/21)*(-8)\/78.\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 90 minutes after 9:55 PM?\nAnswer: 11:25 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1185344370*h**3 - 545475343 with respect to h.\nAnswer: 3556033110*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(g) be the second derivative of -g**5\/20 + 5*g**4\/12 - 2*g**3\/3 + g**2 + 4*g. Let p be c(2). Let u be (-6)\/(-4)*(-8)\/p. Is -0.1 > u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 20076484093 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let t be (-8)\/(-2)*(35 - 36). Let b = 16 + -9. What is the remainder when (16 - 3)\/(t - (-18)\/4) is divided by b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 1687511*d**3 + 1712864 wrt d?\nAnswer: 5062533*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zfvfxztfexfz. Give prob of picking 1 v, 1 t, and 2 z.\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -1420 - -2501. Is q prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 1350\/(-360)*24\/(-99)?\nAnswer: 10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*i = -2*p + 16, -26 = i - 4*i - p. Suppose 2*h = -h + i. Suppose -h*g + 4*l = -0*l - 561, 2*g - 3*l - 373 = 0. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(a) = -a**2 - 4*a + 4. Calculate s(-3).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose m - 2702 = -5*o, -3*o - 5*m - 1638 = -6*o. Let l = o - 159. What is the hundreds digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 36816 and 32.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2339 rounded to two dps?\nAnswer: 0.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + (3 - (3 - 1)) - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y**(5\/3)\/y*y\/y**(-12)*(y\/((y\/y**0)\/y))**(5\/11))**(5\/2) assuming y is positive.\nAnswer: y**(1165\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is thirteen fifths of a centimeter in millimeters?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -4 (b) -2\/11 (c) 5.3 (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: -8161606396 - 2.8\nAnswer: -8161606398.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from xxxxxxxxx. Give prob of sequence xxxx.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 94\/11 or 8?\nAnswer: 94\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -207552 or -207556?\nAnswer: -207556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: -0.3*102.1\nAnswer: -30.63","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 3842 to the power of 1\/2, to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2213\/4 + -548. Find the common denominator of 49\/5 and i.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(y) be the third derivative of -y**6\/180 - y**5\/90 + 25*y**4\/36 + 25*y**3\/9 - 125*y**2. Factor a(z).\nAnswer: -2*(z - 5)*(z + 1)*(z + 5)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -6*i - 12*i - 14*i + 11*i to q*i + x and give q.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -20 - -51. Factor 1 - 24*w - 1 - 25*w**3 + 14*w**2 + 4 + k*w**2.\nAnswer: -(w - 1)*(5*w - 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose k - 6 - 27 = -f, -5*f = 3*k - 155. What are the prime factors of f?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (1680\/(-700) + 21\/(-30)*58)*-1?\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -13, -2, -4, 5?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 242482393 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 7453 - 5292. Is r prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the distance between 0.2 and -43691.41468?\nAnswer: 43691.61468","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Is 11975683 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13*g - 5855 = -18*g - 2*x, 0 = 5*g - x - 5840. What are the prime factors of g?\nAnswer: 7, 167","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence kbkk when four letters picked without replacement from {b: 6, k: 3, r: 1, u: 1, c: 1}?\nAnswer: 1\/330","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let p be 32600\/84 - (-7 - (-1937)\/273). What is the greatest common factor of p and 1455?\nAnswer: 97","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1? (a) 5 (b) -2 (c) -0.3 (d) -2.43 (e) 289.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 70799?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s(p) = 6*p - 3 + 3*p - 4*p + 8. What is s(-5)?\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 114561152 (base 7) in base 12?\nAnswer: 2492302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 28 divide 2949410?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -122*t**5 - 712*t**2.\nAnswer: -7320*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 161\/326040 and -123\/43472.\nAnswer: 652080","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j be 4*(-3)\/9 - (-44)\/(-12). Let c(t) be the second derivative of -t**3\/3 + t**2 - t. What is c(j)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is (-243)\/4860*8\/(-5)?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -121\/30 and 63\/4810.\nAnswer: 14430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in -0.3, -20, 45, 0.2, 1\/6?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 762.16377105 + -553.163774. Let j = c - 209. What is j rounded to seven decimal places?\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3 + (0 + 1 + -2 - -9) - -4\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 + -19 + 16 + -44 + 1.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 44, -1, -17, 5 in decreasing order.\nAnswer: 44, 5, -1, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 372.3303632 rounded to the nearest integer?\nAnswer: 372","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -54*c**5 + 185898*c**3 + 3*c**2 - 20998*c - 25 wrt c.\nAnswer: -3240*c**2 + 1115388","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000019426045 rounded to 6 dps?\nAnswer: -0.000019","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(84) + 4*(sqrt(84) - -1*sqrt(84)))\/(sqrt(192)\/sqrt(4)).\nAnswer: 9*sqrt(7)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let t(s) be the second derivative of s**4 - 35*s**3\/2 + 201*s**2\/2 - 2*s. Let k(p) = -3*p**2 + 26*p - 50. Let n(b) = -9*k(b) - 2*t(b). Solve n(u) = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 266 minutes before 3:20 PM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 5 in 0.2, 1\/3, 2\/5, -4\/33?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round 37.92 to the nearest integer.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) be the second derivative of -3\/4*d**2 - 1\/2*d**3 + 0 - 1\/8*d**4 - 4*d. Solve l(u) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 457*m + 3*t + 8 = 456*m, -2*t + 60 = -4*m for m.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:02 PM and 7:30 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*c - 18 = 3*c. Let j(v) = -v**3 - 5*v**2 + 5*v - 8. Give j(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -487 - -452. Let b be 1*z\/14 + (-10460)\/8. What is b rounded to the nearest 1000?\nAnswer: -1000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 8:49 AM?\nAnswer: 4:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the oth term of 9576, 19156, 28734, 38310, 47884, 57456, 67026?\n\"Answer: -o**2 + 9583*o - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Expand -25*o**4 - 20*o**4 + 23*o**4 + (3 - 3 + o**3)*(-16 + 3*o + 16).\nAnswer: -19*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify c**34\/(c*((c**(-5\/6)\/c*c)\/c)\/c*c) assuming c is positive.\nAnswer: c**(209\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of -3893*l**3\/3 + 4494*l - 3046. What is the derivative of s(h) wrt h?\nAnswer: -7786*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fourth biggest value in 4, -11, -2502.5, -6?\nAnswer: -2502.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let w be (-4)\/(-12)*(1 - -8). Suppose -5*m - w*d + 5*d = -158, 5*d + 20 = 0. Calculate the remainder when m is divided by 66\/4*4\/6.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 378*a**3*z**2 + 15*a**3*z - 74*a**3 + 1972*a**2 - 99*a*z**2 wrt a?\nAnswer: 2268*z**2 + 90*z - 444","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 47633.\nAnswer: 19, 23, 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is -2cca29 (base 13) in base 12?\nAnswer: -4583bb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -71, 3, -6, 6 in increasing order.\nAnswer: -71, -6, 3, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express 15827 - 15827 + 7378*w**2 in the form y*w**2 + i + z*w and give z.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 395 + -304. Let c = a + -996\/11. What is the fourth biggest value in 4, 1\/2, c, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 375392 = 25*z + 7*z. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170855284.\nAnswer: 2, 42713821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 501.83 - 502. Which is the second smallest value? (a) 0.1 (b) h (c) -2 (d) -2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -34*n - 4*n - 540 = 7*n for n.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 56 = 2*x + 2*x. Solve 6 + x = 4*o for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -0.9527 + -0.0473. Sort 24.7, 1, -2, s in increasing order.\nAnswer: -2, s, 1, 24.7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 8 times 132858?\nAnswer: 1062864","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*w = 2*w + 432. What are the prime factors of w?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 151520 is divided by 966.\nAnswer: 824","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 409 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*i = -7*i - 38. Suppose w + 3*w = 3*o + 85, -2*o - 25 = -w. Are w and i unequal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 9, -6, -4 in decreasing order.\nAnswer: 9, -4, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -112 + 112. Suppose -12*j + 10*j + 15474 = i. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -86 = -2*t - 22*t + 202 for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 2105?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Determine z, given that 6*z**5\/7 - 5577*z**4\/7 - 402*z**3 + 22317*z**2\/7 + 2808*z\/7 - 16740\/7 = 0.\nAnswer: -2, -1, 1, 3\/2, 930","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -40 + -32. Let l = 65276\/9 + -7260. Find the common denominator of l and (1\/(-3))\/((-10)\/a).\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1374810*c**3 - c**4 - 2*c + 1374810*c**3 + 1 - 23*c**2 + (3*c**2 - 3*c**2 + 2*c**4)*(2 + 1 - 2) + 4*c**2 - 10*c**4 - 4*c**2.\nAnswer: -9*c**4 - 23*c**2 - 2*c + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Put -4.65, -0.01, 0.5, 2\/5, 2, 0 in decreasing order.\nAnswer: 2, 0.5, 2\/5, 0, -0.01, -4.65","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let v(f) = -2*f - 13. Let g be v(-9). Let u(y) = -y + 8. Let m be u(6). What is the third smallest value in m, -0.4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express 5*x + 5*x - 7*x + 3*x + 38 - 42 in the form m*x + n and give n.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*y = -5*y - 130. Let s be 7\/(-35) - y\/5. Which is bigger: s or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 4457.7 - 4457.67. Let a = 0 + 0. Let b = -11 + 7. What is the closest to a in 0, b, z?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 758137 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 3263 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: (-2 + -5 - (-33 - (-23 + -9))) + 1 + -48\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Determine a so that -2*a**4 + 646*a**3 - 4138*a**2 - 283246*a - 278460 = 0.\nAnswer: -17, -1, 26, 315","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*n + 4 + 8 = 0. Suppose -13*w + 70 = -n*w. Solve w = 3*j - 2 for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 166064?\nAnswer: 2, 97, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 64 + 3?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) 3 (b) 50 (c) 205 (d) 0.06 (e) -4\/7 (f) 1\/2 (g) -2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 102122202 + -2?\nAnswer: 102122200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 310 minutes after 11:11 AM?\nAnswer: 4:21 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*c + 4*g + 388 = 0, 0 = -2*c - 3*g + 106 + 98. Let m be -5 + (-9)\/(-189)*c. Sort 2\/11, m, -48, 1\/8 in increasing order.\nAnswer: -48, m, 1\/8, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 64062811?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5 + sqrt(242) - (-2*sqrt(242) + sqrt(242)).\nAnswer: 5 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: How many litres are there in 617129.9ml?\nAnswer: 617.1299","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence fp when two letters picked without replacement from {p: 2, u: 2, f: 2, z: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth biggest value in 1\/121, -0.2, -2\/79, 2, 1\/4, -2\/3?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Express -765*h**2 - h - 522*h**2 + 715*h**2 as v*h**2 + n + y*h and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -103\/1056 and -95\/272?\nAnswer: 17952","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -129.1 - 13.9. Let i = p + 99.5. Let f = i + 80.4. What is f rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose w = 3*a + 98651, -w - 4*a + 55197 = -43482. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 28*x**2\/5 + 1504*x\/5 - 19932\/5.\nAnswer: 4*(x - 11)*(7*x + 453)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 157\/792 and -59\/4726392.\nAnswer: 14179176","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 199819 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, -1, 83 in ascending order.\nAnswer: -1, 5, 83","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 758815031 and 10946.\nAnswer: 5473","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -10 - 2 = -4*f. Let v = -5 + -2. Let c(g) = g**2 - 6*g - 1. Let h(s) = -2*s**2 + 11*s + 2. Let d(i) = v*c(i) - 4*h(i). Give d(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -13, -2040, 3 in descending order.\nAnswer: 3, -13, -2040","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Express -651444*w + 1 + 1 - w**2 - 2*w**4 - 3*w**3 - 651437*w + 1302929*w as b*w**4 + a*w**3 + c + q*w**2 + k*w and give b.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Solve 13*l - 62*l - 16*l + 21855 = 400*l for l.\nAnswer: 47","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 386.\nAnswer: 2, 193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/2)\/((-20)\/(-40))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 98219383.\nAnswer: 73, 1345471","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Do 10281 and 53 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = -3*b**2 + 66*b - 1. Determine x(22).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9871133 is divided by 5245?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nonbboyyo. Give prob of sequence nnb.\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let b(f) = -2*f + 1. Let u be b(-1). Let t = -1638 + 2045. Factor -t*h**u - 1 - 4*h**4 + 411*h**3 + 1.\nAnswer: -4*h**3*(h - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 17827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.01 and -32.6994357?\nAnswer: 32.7094357","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let g(a) be the third derivative of 5*a**4\/24 - 15*a**2. Let p(h) = 5*h. What is g(p(b))?\nAnswer: 25*b","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*x**2 - 4*x**2 + 3*x**2)*(0*x**3 - x**3 - x**3) - 116*x**3 + 116*x**3 - 11*x**5.\nAnswer: -3*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1 at most as big as -4550465?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 47745, 47599, 47453, 47307, 47161?\nAnswer: 47015","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 1:23 PM and 1:07 AM?\nAnswer: 704","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: 60.7+-597335\nAnswer: -597274.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let l(o) be the first derivative of -3653*o**5\/5 + 3237*o - 3703. What is the first derivative of l(p) wrt p?\nAnswer: -14612*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate 1192*l**4 - 2*l**2 + 16060.\nAnswer: 4768*l**3 - 4*l","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) = -s**3 + s - 11. Calculate b(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 e and 1 l when two letters picked without replacement from olloeolooeooleeeell.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (m*m*m**1*m)**(2\/19)\/(m**(3\/4)\/m*m*m\/(m**(-6)\/m)) assuming m is positive.\nAnswer: m**(-633\/76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1)\/(2\/(-90)*5).\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 249 minutes before 5:28 PM?\nAnswer: 1:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 to the power of 1\/4, to the nearest integer?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 319 = 4*j + 5*s + 23, s = j - 74. Is j a multiple of 7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = s + 3*m - 1, 58*s + 8 = 63*s + 18*m for s.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -n**2 - 4*n + 5. Let m(y) = -y**2 + 4*y + 7. Let a be m(5). Suppose 0 + 3 = -j, 0 = -u + a*j + 2. What is the units digit of d(u)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 84364160 to the power of 1\/3, to the nearest integer?\nAnswer: 439","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Is 708 - 119*(-12)\/(-84) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 165880 a multiple of 44?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y - 10 + 1 + 19)*(-3*y**3 - 4 + 4).\nAnswer: -18*y**4 - 30*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 25 and 21059390.\nAnswer: 526484750","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 272 and 17483497.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -5, -7, 3, 31, 83, 165, 283, 443?\nAnswer: 651","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2\/7 in 1\/2, 4, 0.125, 15?\nAnswer: 0.125","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -0.02 - 145.98. Let m = 1365 - 1365.3. Which is bigger: y or m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 204 minutes after 11:49 AM?\nAnswer: 3:13 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i**(-1))**(-12\/19)*(i\/(i*i**(1\/8)*i)*i*i*i)\/((i**7\/i)\/i) assuming i is positive.\nAnswer: i**(-379\/152)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2 = 4*a - 2*a. Is -1 + a\/(3\/57) a multiple of 9?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -1\/3 in -77, -12, -8?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/20, 280, 5, 0.2, -0.4, -2 in increasing order.\nAnswer: -2, -0.4, 1\/20, 0.2, 5, 280","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {p: 2, s: 1, m: 8, r: 3, d: 5}. Give prob of sequence ps.\nAnswer: 1\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18 = -5*x + 58. Suppose -x*a + 3*a + 125 = 0. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -111394, -222787, -334180, -445573?\nAnswer: -556966","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 192096 and 864?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ith term of 51639, 103274, 154907, 206538, 258167, 309794?\n\"Answer: -i**2 + 51638*i + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) be the first derivative of 17*z**2\/2 - 4*z + 1. What are the prime factors of j(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 6 + 4 + -10 + (-4 - 0)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 2 times 378\nAnswer: 756","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 3 e when three letters picked without replacement from {k: 2, m: 1, e: 8, d: 2}?\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 116+-10\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Add -23 and 0.1005.\nAnswer: -22.8995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -895 divided by 31\nAnswer: -895\/31","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-54)\/(-2025)*(-186)\/(-2) + 2*(0 + -1).\nAnswer: 12\/25","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -254422 or -12466665\/49?\nAnswer: -254422","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14644 is divided by 7122?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 85 + -85. Suppose 8*r - 288 = -z*r. Is 18 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a be -2 + (-12)\/(-8) - 26\/(-4). Find the third derivative of 6*p**4 + 6*p**6 - a*p**4 + 2*p**6 - 19*p**2 wrt p.\nAnswer: 960*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 11944, 11925, 11910, 11899?\nAnswer: 11892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 f and 2 d when three letters picked without replacement from fdffffdddfdddddfdffd.\nAnswer: 33\/76","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 120 = -3*v, 3*v - 2*x = -91 + 221. Let n = v + 21. Is 25 a factor of n?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let m be 3 - (-40)\/15*-9. Put 21, m, 3 in descending order.\nAnswer: 21, 3, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 14813 is divided by 56.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 186182?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -557 - -896. Suppose -4*b + 3448 = 2*i, 2*i - y - 2249 = -3*b. What is b rounded to the nearest 100?\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = -703*z**2 - 61*z + 330. Let q be c(-42). What is q rounded to the nearest ten thousand?\nAnswer: -1240000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {e: 2, d: 2, p: 1}. What is prob of sequence eped?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-1 - (-8 + 2 + 12)) + 42 + -15.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand -2*s + 2*s**5 + 2*s + (19*s**2 - 488*s + 488*s - 7)*(s**3 - s + s).\nAnswer: 21*s**5 - 7*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) be the first derivative of 0*m**2 + 1\/8*m**4 - 1\/40*m**5 + 0*m - 6 + 8\/3*m**3. Let f(w) be the third derivative of y(w). Calculate f(3).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 12 + -3. Suppose 0*p - i = -3*p. Let o(y) = 3 - 2*y + y + 0*y. Determine o(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2, 4, 9, 15, 88 in decreasing order.\nAnswer: 88, 15, 9, 4, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 92710 is divided by 756?\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) be the third derivative of k**4\/24 - 4*k**3\/3 + 3*k**2. Let x be a(7). Let t = 113 - 110. Sort 0, x, t in decreasing order.\nAnswer: t, 0, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 110 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 5276 is divided by 311?\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 47595?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 41684 and 556604?\nAnswer: 2452","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 43\/20 and -9\/3092.\nAnswer: 15460","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0510549144 rounded to 5 dps?\nAnswer: -0.05105","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: 10002222203 (base 4) to base 15\nAnswer: 15ddcb","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is -213721200 rounded to the nearest one million?\nAnswer: -214000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 35933543?\nAnswer: 35933543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 3d (base 15) in base 13?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6 = 2*x - 0*x. Let w be (3\/(-99))\/(x\/9). Suppose -y + 1 = -0. Which is greater: w or y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 5:15 AM and 2:31 PM?\nAnswer: 556","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*m + 3*z + 18 = 0, 25*z + 6 = -m + 22*z for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of -h*q*v + 37*h*q - 2*h*v - 3*h + 4*q + v - 18 wrt q.\nAnswer: -h*v + 37*h + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 547\/6 + -91. Let w = 10 - 1. Suppose 4*v - v - w = 0. Which is the nearest to 0.1? (a) z (b) -4 (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*w**5\/5 - 27*w**4\/5 - 78*w**3\/5 - 102*w**2\/5 - 63*w\/5 - 3 = 0 for w.\nAnswer: -5, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 146 and 12994.\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-36)\/12*(-8)\/(-4)?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -11*96\/1584*43\/2*3\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (p**(-1)\/p**4)**(-4\/13) assuming p is positive.\nAnswer: p**(20\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 2, d: 5, w: 8, t: 4}. What is prob of sequence wfw?\nAnswer: 56\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Factor 4*y**4 - 16*y**3 - 284*y**2 - 264*y.\nAnswer: 4*y*(y - 11)*(y + 1)*(y + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 2860364448 a multiple of 307?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 15250\/1557 != 9?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 42\/12*(-6)\/(-168)?\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 140 and 150?\nAnswer: 2100","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = 3*n**2 + 2*n. Does 14 divide o(-4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4083 rounded to two dps?\nAnswer: 0.41","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let c(f) = -f - f**2 - 8 + 8*f - f**2 + f**2. Let z be c(6). Let j = 7 + z. Is j a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -460*v - 593*v + 19252 = -394*v - 25560 for v.\nAnswer: 68","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from wqwwcwwmcwdq. Give prob of picking 1 d and 1 c.\nAnswer: 1\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let y(v) = -22*v**2 + v + 7. Let l(o) = -7*o**2 + 2. Let i = -402 + 395. What is i*l(g) + 2*y(g)?\nAnswer: 5*g**2 + 2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-1)\/(-4))\/((-9*(-7)\/(-140))\/(90\/525))?\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -45, -33, -9, 33, 99, 195?\nAnswer: 327","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let n(c) = 151*c**2 + 4*c + 17. Let k(a) = -189*a**2 - 4*a - 17. Let y(v) = 4*k(v) + 5*n(v). Let z(o) = -o**2 + 2*o + 8. What is 6*y(d) - 13*z(d)?\nAnswer: 7*d**2 - 2*d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 10 in 0.4, -2482468, -1\/8?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 11159 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -75 divided by -15\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -839 + 14*h**2 - 2*h**2 + 839 + 2*h**2 - 2*h**3.\nAnswer: -2*h**3 + 14*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(s) = -2*s**2 + s. Let j be (1\/2 + 2)*2. Suppose 0 = j*m - 0*m - 25. Let i(v) = -v**3 + 4*v**2 + 5*v + 2. Let c be i(m). Give z(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 4078 is divided by 239.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d(n) = -2*n + 1. Let f be d(2). Let g be (72\/28)\/(f\/(-14)). Suppose -39 = -2*x - 3*p, -6*p = -5*x - p + 135. What is the greatest common factor of g and x?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 843 is divided by 67?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express -1 - 13*r**4 - 796*r - 769*r + 1606*r in the form z*r**2 + b*r + o*r**4 + p*r**3 + q and give q.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let j(t) = -3*t + 48. Let q be j(6). Calculate the highest common divisor of q and 81.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many milligrams are there in 68.57864 nanograms?\nAnswer: 0.00006857864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -c = 4*c. Let o = c - 0. Find the common denominator of -19\/18 and o + (-2)\/((-4)\/3).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: 131865 * -4935\nAnswer: -650753775","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 576 and 9306688.\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (-2*(-3)\/(-2))\/(18\/(-24)). Calculate the lowest common multiple of (2 - (-17 + c))*(-2)\/(-2) and 27.\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = o + 3. Let w be c(-1). Suppose 11 = 2*v - 3*p, 6*v - 2*p = w*v + 2. Is v*1*(-633)\/6 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -2 minus 228390222276?\nAnswer: -228390222278","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -14833 = 3*x - 5*u, -5*x = -2*x - 2*u + 14827. Let d = 3081 + x. What is d rounded to the nearest 100?\nAnswer: -1900","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 382*t - 3 + 3 - 387*t.\nAnswer: -5*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = a**3 + a - 46. Let x be h(0). Let w = x + 50. Solve -w*q - 4*r - 7 = 13, r - 25 = 5*q for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the units digit of 8209?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the kth term of -19650, -19569, -19490, -19413, -19338?\n\"Answer: -k**2 + 84*k - 19733","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 36 - (3\/(-3) + 1). Let c be (-22)\/(-8) - (-9)\/k. Let d = c + 16. What is the tens digit of d?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 98476?\nAnswer: 2, 7, 3517","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) = -81*o**2 + 3*o. Let c(a) = -201*a. What is h(c(k))?\nAnswer: -3272481*k**2 - 603*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: -3 * 6942363\nAnswer: -20827089","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -7061 + 7133 - (79 + -1).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -44*n**2 - 43*n**2 - 33*n**2 + 222*n**2 - 56*n**2 - 41*n**2.\nAnswer: 5*n**2","meta":{"dup_signals":{},"source":"polynomials__collect_test"},"subset":"dm_maths"} +{"text":"Question: Let n = 5 - 2. Let r = -0.6 + 0.2. What is the second smallest value in n, r, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 1172184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4 = -0*d + 2*d. Is (d\/(-4))\/((-1)\/(-90)) a multiple of 11?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 j when two letters picked without replacement from ooojj.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 2526198356 to the nearest integer?\nAnswer: 1362","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.78, 0.5, 5\/4, -0.3754 in increasing order.\nAnswer: -0.3754, 0.5, 0.78, 5\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*g - 22 = -q, 0 = 5*q - g + 2*g - 15 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 226054812 is divided by 7549?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -35035*n**2 + 3*n - 35011*n**2 + 70023*n**2.\nAnswer: -23*n**2 + 3*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z - 3*m + 1 + 1, 2*z + 2*m = 4. Let v = -0.1 - 0.3. Let r = 1.1 + 3.9. Which is the second smallest value? (a) r (b) v (c) z\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 5 + -86?\nAnswer: -81","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 16555 (base 7) to base 13\nAnswer: 220c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 443835*a**2*b**3 - 616423*a*b**2 + b**3 wrt a?\nAnswer: 887670*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let w(c) = c**2 + 10*c + 1. Suppose -3*a = -3 + 15. Give w(a).\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose z = -z - 28. Let w = z + 16. Suppose -w*g = 2*g - 484. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 15 = 7*m - 20 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 6:11 AM and 3:09 PM?\nAnswer: 538","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) be the first derivative of -n**2\/2 - 1422. Let b(i) = -5*i + 4. What is b(y) - 4*r(y)?\nAnswer: -y + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let z(m) = 22*m**2 - m. Let h be z(1). Let a = -15 + h. Let p be (40\/a)\/(2\/6). What is the greatest common factor of p and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 70, 109, 112, 67, -38, -215, -476?\n\"Answer: -2*p**3 - 6*p**2 + 71*p + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) = y**3 + 8*y**2 - 74*y - 9. Let q be s(6). Suppose -4*p = 4, 4*c + 4*p - 475 = 3*p. What is the highest common divisor of q and c?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 1 + (-18)\/4*2. Let y be (2 + -30)*18\/s. Calculate the highest common factor of 21 and y.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 101*s - 24*s - 9*s - 46*s - 26*s - 22*s.\nAnswer: -26*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -762, -3017, -6762, -11985, -18674, -26817?\nAnswer: -36402","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 4602596?\nAnswer: 2, 1150649","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1951755316.\nAnswer: 2, 7, 19, 53, 69221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 12:18 PM and 12:06 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Sort 5, 2, -3\/79, 4, -0.054.\nAnswer: -0.054, -3\/79, 2, 4, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 65 + -139\/3. Let y = 19 - l. Let x be (-1 + 0)*1*-1. Which is the nearest to x? (a) -3 (b) y (c) -0.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r(c) = 2*c**3 - c**2 + c + 1. Let y be r(-1). Suppose 0*k = k - 4. Let p = k + y. Solve 2*n - 8 + p = -3*g, -5*n - 40 = -4*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 5883005 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 27659.24 decades in millennia?\nAnswer: 276.5924","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 8\/15 at most 289?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let i(g) = -5*g + 100. Let b be i(17). 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: Calculate the remainder when 23859940 is divided by 11929960.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 3 divided by -253909433\nAnswer: -3\/253909433","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -1564, 5, 13, -0.5, 2\/7.\nAnswer: -1564, -0.5, 2\/7, 5, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.19, -0.012, -1, -16, 5?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let k(r) = 1370*r - 12348. Give k(9).\nAnswer: -18","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -2 + -30 + -28 + 73?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((u\/((u\/u**12)\/u)*u*u)\/(u\/(u*u\/(u*u**(-10))))*(u*u**(-2\/3))**(-38))**(-22\/3) assuming u is positive.\nAnswer: u**(-814\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 65339 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Factor t**2 - 14090706*t + 49636998894609.\nAnswer: (t - 7045353)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) be the first derivative of -119*n**2 + 167*n - 100. Let y(d) = -3*d. Let s(k) = m(k) - 3*y(k). Find the first derivative of s(j) wrt j.\nAnswer: -229","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 491, 981, 1467, 1949, 2427, 2901?\nAnswer: 3371","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let j(c) = c**3 - 4*c**2 + 2*c + 9. Let r be j(3). Let b be (0 - r)*(-1408)\/66. Let d = b + -86. Calculate the remainder when 122 is divided by d.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(h) = -2*h. Let z(t) = -1591*t**2 + 40561*t - 40561*t. Give z(a(u)).\nAnswer: -6364*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is 971352548 to the power of 1\/3, to the nearest integer?\nAnswer: 990","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (1*2)\/((-4)\/(-46)). Suppose -v - 5*b + 72 = d, 0 = -3*v + 2*b + 62. Calculate the greatest common divisor of v and 16.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5.4 take away -0.03?\nAnswer: 5.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -1.037 * 0.17\nAnswer: -0.17629","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 169108\/(-142308) - 22\/(-18).\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -33\/4130 and 41\/67850?\nAnswer: 474950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let g(m) = -7*m - 7. Let x(i) = -3*i - 3. Let t(p) = -2*g(p) + 5*x(p). Let a be t(1). Let j be 1*a\/6*-6. Solve -d = -j*d - 5 for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = 13*b**2 + b. Let c be d(-1). Calculate the greatest common divisor of 12 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Total of -10.43215 and -0.07058.\nAnswer: -10.50273","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is 0 times -85.32?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Add -7 and 51273.\nAnswer: 51266","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 0.2 + -0.2. Let c = -1 - 0. Let n = 2\/131 - 280\/1179. What is the nearest to -2\/5 in r, n, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 154*p**3\/3 + 1423886*p**2\/3 + 6164*p.\nAnswer: 2*p*(p + 9246)*(77*p + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00956 to three dps.\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 42 a factor of 374095?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Convert -3e358b (base 16) to base 11.\nAnswer: -2335079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(d) be the first derivative of 0*d**3 + 0*d**2 - 1\/5*d**5 - 53 - 3\/4*d**4 - d. Find the first derivative of x(a) wrt a.\nAnswer: -4*a**3 - 9*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -549 = 45*d - 144 for d.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*y + 6*y - 3*y)*(-2*y**2 + 1 - 1).\nAnswer: -18*y**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 195095 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let d be (24\/(-5))\/2*(1 - 6). Let i = -11 + d. Solve -2*n + 3*n = -i for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from bobzrorbbozrbrrbi. What is prob of sequence ro?\nAnswer: 15\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is 149 (base 11) in base 15?\nAnswer: b9","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 648 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: Subtract -148908980.865 from 0.1.\nAnswer: 148908980.965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(l) = l**3 + 8*l**2 - 33*l - 178. Give a(-10).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*f + 9 = 3*z, -4*f = 3*z - 0*z - 12. Suppose f*t = 12 + 15. Calculate the highest common divisor of 27 and t.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 106 + -467. Let h = s + 1016. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 31 - 16. Suppose -5*a = 3*h - 150, -4*h + 120 = 4*a - 8*h. Calculate the greatest common factor of a and j.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = 5*v - 655, 6*v - 5*k = v + 670. Is v a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 138379298 and 12822?\nAnswer: 4274","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 1 + -66ab?\nAnswer: -66aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 1503493 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to 0 in 2\/9, -0.1, 3.6?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*b + 7 = b - x + 2*x, -1596 - 1596 = 8*b + 3*x - 3185 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4046.\nAnswer: 2, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is 213439676 to the power of 1\/3, to the nearest integer?\nAnswer: 598","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 21368380 divided by 1?\nAnswer: 21368380","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*s + 4*s = 5*l + 6, s - 4*l = 12. Suppose 0*c + s = 2*c. Solve -c = 5*z + 8 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1087 + -515.53?\nAnswer: 571.47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Convert -331242 (base 5) to base 3.\nAnswer: -120200222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(136) + sqrt(34) + sqrt(34))*3)\/((sqrt(200) - sqrt(200)*4) + sqrt(200)))**2.\nAnswer: 153\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 938846 is divided by 977?\nAnswer: 926","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 75077.135 rounded to the nearest 10?\nAnswer: 75080","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) = -11*c**3 - c**2 + 2*c. List the prime factors of y(-3).\nAnswer: 2, 3, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 e and 1 p when three letters picked without replacement from mieicppieeiwiciicm?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 344743 + -485495. Is 4\/6 - o\/48 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*z + 0*z = 26. Suppose -4*w + 3*o + 29 + z = 0, -w + 2*o + 8 = 0. List the prime factors of w.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -i**5*y - 8*i**2*y**2 - 96*i*y**2 + 5*i*y + 2*y**2 wrt i.\nAnswer: -20*i**3*y - 16*y**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 z and 2 h when three letters picked without replacement from {z: 2, h: 2, r: 2}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Does 4 divide 193?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Does -2284365 = -2284370?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(h) = -19*h - 648. Give s(-34).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 229 - -81. List the prime factors of d.\nAnswer: 2, 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-283747)\/(-33382))\/(((-6)\/4)\/3).\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Convert 67c6 (base 14) to base 11.\nAnswer: 12593","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 9\/63 - 96\/(-14). Solve s*h - 5*h = -2 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 7 + -3 - (-38 - -48).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2 = -4*v + 6*v, 38*v - 20 = 3*s + 43*v for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {y: 2, b: 1, k: 1, l: 2, e: 1}. Give prob of picking 2 y.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Solve 16*n - 9 = 2*u + 21*n, n + 55 = -8*u for u.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from opprorpp. What is prob of sequence ror?\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 0 in -184, -2, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Round -4100.6318 to the nearest 1000.\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let f(j) = j + 2. Let b be ((-830)\/(-20))\/(2 + (-11)\/6). Suppose -2*k - 245 = -b. Calculate the remainder when f(5) is divided by k.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose t = -0*t - 2, 0 = -h - 4*t + 1. Let b = h + -5. Let u be (24\/(-9))\/(b\/(-6)). Solve 2*m - 12 = u*p, 5*p + 12 = 2*m - 4 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence www when three letters picked without replacement from {w: 7}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let 10*u**4 - 3\/2*u**5 - 13*u**3 + 5\/2*u + 0 + 2*u**2 = 0. What is u?\nAnswer: -1\/3, 0, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand -113*r**4 - 33 + 115*r**4 - 17 + (-r**2 + r - r)*(-2*r**2 + 5*r - 5*r).\nAnswer: 4*r**4 - 50","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -310\/103 in 0.1, 2.9, -0.5, -0.4, -6?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8.33 - 182.\nAnswer: -173.67","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let m(y) = 9*y**3 + 2*y**2 + y - 2. Let i be m(2). Let l = 58 + -38. Calculate the greatest common divisor of i and l.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qaqqffqaafoqqszqaz. Give prob of sequence asq.\nAnswer: 7\/1224","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 5\/2 (b) -9\/7058 (c) -0.3 (d) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 490 minutes before 12:13 AM?\nAnswer: 4:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 62 divide 5642?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1078)*2 - sqrt(22) - (sqrt(198) - -2*sqrt(198)))\/(sqrt(4)\/(sqrt(4)\/(sqrt(2)*-3))))**2.\nAnswer: 176\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 60 and 516.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 726 is divided by (-12336)\/(-33) + (-8)\/(-44)?\nAnswer: 352","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -241 - -768. What is the hundreds digit of o?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(j) be the first derivative of 3\/4*j**3 - 3\/8*j**4 - 3\/2*j + 12 + 9\/8*j**2. Factor p(s).\nAnswer: -3*(s - 2)*(s + 1)*(2*s - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 60*i - 62*i. Let l(n) = 19*n - 4*n + 2 + i - 7*n**2 + 8*n**2. Determine l(-15).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(g) = 2*g - 2. Let r(k) = 0*k - 2 - 2*k + 7*k - 4. Determine -4*r(p) + 11*w(p).\nAnswer: 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*q + 10 = -8. Put q, 2, -2\/3 in decreasing order.\nAnswer: 2, -2\/3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11371 and 5617?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest value in -23\/28, -5, -1, 0.06, 0.04, -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 2846 from 1.26.\nAnswer: -2844.74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -0.014? (a) -0.3 (b) 5 (c) -14\/9 (d) -41\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 17, 90, 211, 380, 597?\nAnswer: 862","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-65532)\/(-22)*(-6270)\/(-570)?\nAnswer: 2, 3, 43, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 33101 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 20 plus 0.017?\nAnswer: 20.017","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 18 and 16866.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*p**5 - p**5 - 2*p**5 + (0*p + 0*p - p**3)*(-p**2 - p**2 - p**2) + 10*p - 10*p - 4*p**5.\nAnswer: -2*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate ((-18)\/(-12))\/(273\/(-208)).\nAnswer: -8\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g(i) = i**2 + 1. Let j(p) = -5*p**2 - 5*p + 3. Let s(t) = 11*t**2 + 10*t - 7. Let c(z) = 9*j(z) + 4*s(z). Let w be c(-5). Determine g(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 divided by -39327.\nAnswer: 4\/39327","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1615682 is divided by 326?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -55493*r + 27728*r + 27758*r.\nAnswer: -7*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 591799 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is -21.7 plus -1?\nAnswer: -22.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*l + 2 = -2*l. Suppose -l*q - 32 = 2*q. Let x = q - -14. What is the units digit of x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -z + 2 = -1. Suppose 16 = -2*w + z*w. Calculate the remainder when 29 is divided by w.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 54 or 100?\nAnswer: 100","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 4 (base 7) in base 6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(v) be the first derivative of v**3 + 3*v**2\/2 - 3*v - 7. Let c be m(-3). Let g = -3 + 19. Which is smaller: g or c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is -21525\/23 greater than -935?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 42*y - 1014 = -3*i + 45*y, 0 = 2*i + 3*y - 686. Calculate the remainder when i is divided by 82.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4\/3 in -4\/3, 5, -2, -3\/5?\nAnswer: -4\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 56 + -38. What is the units digit of n?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 to the power of 1\/2, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let r(m) = -48*m - 2. Let n(o) = -2*o. Calculate -28*n(w) + 2*r(w).\nAnswer: -40*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 14617359?\nAnswer: 3, 1624151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is the seventh biggest value? (a) 2\/11 (b) 28 (c) 3\/5 (d) -7 (e) 0.3 (f) -58 (g) 1\/10\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = k + 1. Let z(q) be the second derivative of -2*q**3 - 11*q**2\/2 - 39*q. Give 22*n(s) + 2*z(s).\nAnswer: -2*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let p be (-119)\/(-14)*-16*2\/(-8). Is -103*(-1 + 6 - p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2\/7 in -3\/7, -3\/8, -2\/3, 5?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let g(d) be the third derivative of -d**7\/105 + 17*d**6\/120 - 2*d**5\/15 + 5*d**4\/24 - 49*d**2. Find the third derivative of g(a) wrt a.\nAnswer: -48*a + 102","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(v) = -18*v**3 + 371*v**2 + 147*v - 10. Determine h(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((z*z**(-12\/7)*z\/z**3)**(-3\/10))**(2\/9) assuming z is positive.\nAnswer: z**(19\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29*o = 11*o + 54. Solve -k - 2*k = -3*v + o, 3*v - 9 = k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(m) = -m + 6. Let z be x(10). Let s = z - -8. Calculate the lowest common multiple of 0*(-3)\/9 - -16 and s.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 0.05 - -1.95. Let a = -0.081 + 0.144. Let s = a - -0.037. Sort o, s, 1\/2.\nAnswer: s, 1\/2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(c) = 2*c**2 - 4*c + 22. What is the remainder when 470 is divided by h(6)?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: -2 divided by 6442108\nAnswer: -1\/3221054","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -2*h - 0*h, -5*c + 90 = -h. Let u = -7 - -12. Suppose 0*x - c = -w - x, u*x - 75 = -4*w. Calculate the highest common divisor of 5 and w.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 36 + 42 + -6 + -36 + 27?\nAnswer: 63","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 832 and 3744.\nAnswer: 7488","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*q + 19 = 5*t - 25, t = 5*q - 26. Let i(p) = -p**3 + 8*p**2 - 13*p - 2. Let j be i(q). Let k = -6 - j. What is the units digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = g**2 + g - 1. Let o = 4525 + -4524. Let b(c) = -16*c**2 - 12*c + 12. Determine o*b(k) + 12*v(k).\nAnswer: -4*k**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 7b (base 16) in base 10?\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((v**(-1)*v*v)\/v)\/v*v**(-2))**21*(v**(-4)*v**5\/v)\/(v**(-1\/6)\/(v**3\/v)) assuming v is positive.\nAnswer: v**(-365\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -13\/42 and (-11)\/((-11220)\/4955) + -5?\nAnswer: 1428","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 17746 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -795 - 792 + 1587 - 64*g**3.\nAnswer: -64*g**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*p**4\/5 + 8824*p**3\/5 - 912548*p**2\/5 - 5043817168*p\/5.\nAnswer: -4*p*(p - 1417)**2*(p + 628)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 9 or 937654?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-10)\/((-10)\/(-4)*(-14)\/70)?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Does 7 divide 1732?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -7195840 times 0.1\nAnswer: -719584","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(1216) - (sqrt(1216) + 2 + sqrt(1216) + -4))*-1 - (1 + ((sqrt(1216)*1)**2 - sqrt(1216))*-1)) + 5.\nAnswer: 1218","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16710 and 25.\nAnswer: 83550","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 3, -109250, -389, -1 in increasing order.\nAnswer: -109250, -389, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.9 * -8374.59.\nAnswer: -7537.131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 19 - 253490.\nAnswer: -253471","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 q and 1 v when two letters picked without replacement from aevaaaavaqvaqn.\nAnswer: 6\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (t**(2\/31)*t**(-12)*(t**(-3)*t)**(1\/17))**(-45) assuming t is positive.\nAnswer: t**(285840\/527)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 600 minutes after 11:50 AM?\nAnswer: 9:50 PM","meta":{"dup_signals":{},"source":"measurement__time_test"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 11\/2778 and 85\/24?\nAnswer: 11112","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Express (0 - 5 + 2)*(-38 - 47 - 27)*(-3*s**2 - 3*s + 3*s) as w + j*s**2 + f*s and give j.\nAnswer: -1008","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -43\/40 and -25\/1128.\nAnswer: 5640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: 37546.3 - -153\nAnswer: 37699.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (-76)\/20 - -4 - (-1052)\/(-10). Let k be (-1 - x\/(-56)) + 1. Is -3 > k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 18055 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -704, -1295, -1870, -2423, -2948?\nAnswer: -3439","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(y) = y**2 - 2*y + 1. Let r be b(3). Suppose -3*o + z + r = 3, -4*o = 3*z - 23. Let n be 1 - (2\/o - 2). Solve m - n = -1, -3*m + 23 = 5*g for g.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: 284645064 divided by -5\nAnswer: -284645064\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 483210375 and 750?\nAnswer: 375","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 3767231 to the nearest integer?\nAnswer: 1941","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let z(r) = -r**3 + 2*r**2 + 6*r + 8. Suppose 2*x = -4*o + 6, 0 = -3*o + 2*x - x + 17. Let p be z(o). Suppose p = -2*w - 25 + 169. What is the tens digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r*r*r**(2\/29))**31\/((r\/(r\/(r*r**6)*r)*r)\/(r*r*r**20\/r*r)) assuming r is positive.\nAnswer: r**(2295\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 296330*q**5 - 2*q**2 - 4457*q + 9 wrt q.\nAnswer: 17779800*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let c(d) = 5*d**2 - 2*d + 2*d**2 - 4*d**2 + d**2 + d**2. Let l(f) = -5*f**2. Determine c(l(o)).\nAnswer: 125*o**4 + 10*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5*t = 10*t - 20, 2*o - 4*t + 24 = 0 for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is -0.5 != -0.04499?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {d: 1, z: 2, m: 4, r: 6, b: 1, u: 1}. What is prob of picking 2 z and 2 r?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 53 and 212.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -2832813*n**3 + 2*n**2*y - 3*n**2 - 269791*n - 4*y wrt n.\nAnswer: -16996878*n + 4*y - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 13486705?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: 131*1.109\nAnswer: 145.279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Product of -9845.8 and 5.68.\nAnswer: -55924.144","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let r = -27.15 - -27. Let y = r - -0.25. Let q = y - 1.1. Which is the third biggest value? (a) 1 (b) -2\/7 (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (3 - 21\/9)\/((-77)\/(-33))?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -14520491.933 to the nearest ten thousand.\nAnswer: -14520000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let m = -92.175 - -91.73471. Let p = 0.64 + -0.2. Let k = p + m. What is k rounded to 4 decimal places?\nAnswer: -0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(g) = 238*g. Let m(t) = -28*t + 171 - 171. Let n(q) = 42*m(q) + 5*u(q). Let f(o) = -2*o**2. Give f(n(b)).\nAnswer: -392*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3, -2, -150 in descending order.\nAnswer: 2, -2, -3, -150","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the yth term of -9785, -19580, -29381, -39188, -49001, -58820, -68645?\n\"Answer: -3*y**2 - 9786*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*j + 798 = -10*j + 23*j for j.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is 7626 (base 16) in base 15?\nAnswer: 8e66","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -1014 divided by 422.\nAnswer: -507\/211","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -10*q**2 + 10*q**2 - 8*q**3.\nAnswer: -8*q**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let z(k) = -2*k**2 - 3*k. Let d(y) = -4*y**2 - 7*y. Suppose -4 = 5*s - 6*s. Give s*d(j) - 9*z(j).\nAnswer: 2*j**2 - j","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s be 2\/4*2 + -5. Let r = 0.43 + -0.23. Sort s, r, -0.3.\nAnswer: s, -0.3, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 4:02 PM and 11:03 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let m(i) = -4*i**3 + 3*i - 3. Calculate m(1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-3*v + 1 - 1)*(4 - 4 + 3)*(-8 - 17 + 22)*(43*v**2 - 46*v**2 - 151*v**2) to o*v**3 + s*v + k + d*v**2 and give o.\nAnswer: -4158","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let a(g) = g**2 + 8*g + 2. Let m be a(-8). Solve 0 = -m*h, 3*h - 5 = -5*q - 2*h for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -3 - -36?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -195*w**2 + 119*w**2 - 2*w**3 + 0*w**3 + 20*w.\nAnswer: -2*w**3 - 76*w**2 + 20*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Expand (2 - 3 + 0)*(5 - 2 - 1)*(-h**3 + 0*h**3 - 2*h**2 + 9*h**2).\nAnswer: 2*h**3 - 14*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Expand l**4 + 2*l**4 + 0*l**4 + (3*l**3 - 7*l**3 - l**3)*(-l - 1 + l - 2*l).\nAnswer: 13*l**4 + 5*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**2 - 15*d + 5. What is v(-16)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 2616 and 6375?\nAnswer: 5559000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = 2*o, 3*h + 5*o + 5 = -h. Suppose -3*s + 4*n + 23 = -27, h = 4*s + n - 35. List the prime factors of 34 + s\/(1 + 4).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5313*r**2\/2 - 680055*r\/4 - 144.\nAnswer: 3*(r - 64)*(3542*r + 3)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 0.06765 - 5.98165. Let j = 0.114 + w. Let i = j + 3.6. What is i rounded to the nearest integer?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(q) = -4*q**2 + 5*q - q**2 - q**3 - 8*q**3. Let d(o) = -5*o**3 - 3*o**2 + 3*o. Let h be 0 + -4 - (20 + -19). What is h*d(i) + 3*w(i)?\nAnswer: -2*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 23 + -42. Let n = s - -28. Suppose -320*j = -330*j + 30. Calculate the greatest common factor of n and j.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 270 and 168060.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o\/(o**(-1)\/o)))**(-33)\/(o*o*o\/(o*o**6)*o*(o**3\/o*o*o)\/o) assuming o is positive.\nAnswer: o**66","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 388023456 to the power of 1\/3, to the nearest integer?\nAnswer: 729","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second biggest value? (a) -1 (b) 2 (c) -3.25 (d) 5 (e) 1\/5 (f) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 3.5 + 10.5. Let i be (-5)\/2*448\/8400. Which is the third biggest value? (a) i (b) n (c) 5 (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 6\/1 + 40\/(-8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Round -1209000 to the nearest one hundred thousand.\nAnswer: -1200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -864436861 divided by -3.\nAnswer: 864436861\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*z + 613 - 168. Suppose 3*s + z = 251. Suppose 3*x - 61 = -5*d, 3*x = 2*d + 5*x - 22. What is the remainder when s is divided by d?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 38*c**3 + 103*c**3 + 12*c**3.\nAnswer: 153*c**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) -0.09 (b) 12 (c) -0.5 (d) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:52 AM and 5:35 PM?\nAnswer: 583","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*q = 4*k + 2, -3*k = q - 7 + 16 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let u(k) be the first derivative of 502*k**3\/3 - 47*k**2 + 500. Find the second derivative of u(g) wrt g.\nAnswer: 1004","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2001)\/253)\/(1716\/(-3146))?\nAnswer: 29\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -54051 + -4132?\nAnswer: -102223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*q + 0*k - 4*k = 3, 3*k + 1 = -q. Let y = 3\/313 + 2176\/1565. Let t = q + y. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 84 + -238. Let s be 16\/10*(-4 - d\/(-4)). Let c = s - -71. Solve c*z = -0*z + 6 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(o) = 10*o + 35. Let s(g) = 7*g + 23. Let y(j) = 5*c(j) - 7*s(j). Let v be y(-11). Suppose 0*r - v*r = -72. Calculate the remainder when r is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 29 = -q - 0*q. Which is smaller: q or 1\/4?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(d) = 2*d + 1. Let u(i) = -5*i - 3. Let n(j) = 2*j**2 - 7*j - 1. Let b be n(4). What is b*u(p) + 7*z(p)?\nAnswer: -p - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*m + 1 = 11. Let o = 1.29 - 0.99. What is the nearest to 2 in -2, m, o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -7\/380664666 and 145\/7848756.\nAnswer: 761329332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let j(l) = -22*l + 1. What is j(1)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((0 + sqrt(192) + sqrt(15)\/sqrt(5) + -2 + 5)*-1)**2.\nAnswer: 54*sqrt(3) + 252","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 16989, 33975, 50961, 67947, 84933, 101919?\nAnswer: 118905","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: 3*-2*-3*6\/(-36)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -5750387*h - 5750388. Determine w(-1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -54\/1105 and 109\/442.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 6709665 is divided by 9.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = 3*p**2 - 5*p**2 + p**2. Let a = 5 - 1. Let k(y) = 0*y + y - y + a*y. Determine k(x(u)).\nAnswer: -4*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-5 - 1 + 4 + (-1 - 1 + 1)*(-3 + 0 + 0) + 2 + 2 - 2)*(-9*j + 16*j + 9*j + (1 - 1 + 2)*(-2 + 2 - 2*j) + (0 - 3 - 1)*(0*j - 3*j - 3*j)).\nAnswer: 108*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 5*h - 4*h + 6*h + 7 + 0*h - h**2. Calculate n(7).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1514141192 to the nearest integer?\nAnswer: 1148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 c and 1 k when two letters picked without replacement from cckcccoccckcccdo?\nAnswer: 11\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 3 - 1.6. Let o = 0.5 - h. Let k = -0.90000021 - o. What is k rounded to seven dps?\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 877345 and 1253350.\nAnswer: 8773450","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Expand (4*w + 0*w + 2*w)*(-9*w - 10*w + 15*w)*(6 - 3 - 1) + (0*w**2 - w**2 - w**2)*(0 - 1 + 0) + (2 + 4 - 5)*(2 - 2 + 2*w**2).\nAnswer: -44*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -0.7 in -0.3, -3, 3\/2, 127?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from trssssstttstsr. What is prob of sequence rtst?\nAnswer: 5\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(m) = -4*m**2. Let n(i) be the first derivative of -3*i**4\/8 + 11*i**2 + 5. Let r(v) be the second derivative of n(v). Determine y(r(c)).\nAnswer: -324*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 181 + -42. Is 34 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q + q - b + 307 = 0, -q - 2*b = 114. Let s = q + 549. Is s a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 17601 + 25119 = -1424*z for z.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) -2\/3 (b) 5 (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is 8699955 to the power of 1\/2, to the nearest integer?\nAnswer: 2950","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 r, and 2 u when four letters picked without replacement from rsurwsrrusqrsswr?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -37*y**3 + 2 + 33*y**3 + 5*y**3 + y - 2*y**2 - 5*y**4 to f*y + b*y**4 + x*y**2 + n + t*y**3 and give x.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -4*(0 + 1*sqrt(176) + 0 + 3 + sqrt(176) + sqrt(176)*-1 + -4 + (sqrt(176) - (sqrt(176) + 6*sqrt(176)*-2))))**2.\nAnswer: -2912*sqrt(11) + 475953","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0? (a) -122 (b) -4\/41 (c) 0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 88360, 88307, 88220, 88099, 87944?\nAnswer: 87755","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.00009469238 to five decimal places.\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 - 11\/(-9)) + 205\/(-410)*(-8)\/6.\nAnswer: 8\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-28)\/140 - (-16)\/5.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 9:08 AM and 5:48 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let y = 188 - 191.04. Let u = 0.7 + -0.74. Let a = u - y. Put -4, a, 5 in decreasing order.\nAnswer: 5, a, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 - -2 - ((-6 - -4) + 0 + 5).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let g be (-400)\/12*187173\/(-84). Let c = g - 17380241\/234. Calculate the common denominator of 73\/27 and c.\nAnswer: 702","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -19, -42, -65, -88, -111?\nAnswer: -134","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = -12*w**3 - 31*w**2 + 35*w - 2. Let s be k(1). Does -169\/18 = s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the fifth biggest value in 2\/3, -0.3, -551, 1, -9, 0?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 4.5 + -5. Suppose 2*n - 4*n - 2 = 0. What is the closest to n in -0.2, -3, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 334664?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4599 = 4*f - 2885. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(f) = 6*f**2 - 5*f - 6. Let d(g) = g**2 - g. Let y(v) = 5*d(v) - o(v). What is the first derivative of y(n) wrt n?\nAnswer: -2*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d = 5*l + 88, 3*d - 1 = 5*l + 81. Let j = l - -32. What is the units digit of j?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j + j**4 - 2*j + 100814*j**2 + 171*j**4 - 100814*j**2 + (3*j**2 + 2*j**2 - 6*j**2)*(-j**2 + 0*j**2 + 0*j**2) - j + j - j**4.\nAnswer: 172*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is -1 not equal to 24\/257459?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Work out 295 * 4.\nAnswer: 1180","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 6 + -10 + -15 + 23. Solve 10*x - h - 16 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 7\/4 of a litre?\nAnswer: 1750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 738*h + 10450. Calculate the remainder when 3297 is divided by q(-14).\nAnswer: 111","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 2*z - 8*b + 3*b - 6 = 0, -4*z + 2*b = -12 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 260.012 - 254. Let h = j - 6. What is h rounded to two decimal places?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let -2385*b**3 + 5008*b - 574425*b**2 + 384 + 565897*b**2 + 1434*b**4 - 1493*b**3 + 6710*b**4 - 1478*b**3 + 348*b**5 = 0. What is b?\nAnswer: -24, -1, -2\/29, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5 + 269 = -66*t for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of 77, 89, 113, 155, 221?\n\"Answer: c**3 + 5*c + 71","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 45 - 44. Calculate the remainder when (-1 - 3) + 33\/p is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - 3*x = x - 14, f + 21 = 3*x. Let v = f + 1. Let a be 2*12\/(-40)*v. What is the highest common divisor of 3 and a?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o be (-2 + 1)*1*-1. Let b = -84 - -17. Let v = b + 65. Is v less than or equal to o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.08 * 1997.\nAnswer: -159.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22896667.\nAnswer: 2591, 8837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 389638 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common factor of 150 and 1018475.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Do -1260 and -828 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 g and 3 h when four letters picked without replacement from hnhhgghnhxhhnhgghx?\nAnswer: 28\/255","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 69 a factor of 30222?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1650*u**2 - 8236*u**2 + 1651*u**2 + 1645*u**2 + 1642*u**2 + 1651*u**2.\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Express 385047*g - 385047*g + 5397*g**2 in the form a*g**2 + q*g + x and give a.\nAnswer: 5397","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let z(a) be the second derivative of a**5\/20 + a**4\/12 - a**3\/6 + 3*a. Let d(q) = 4*q**3 + 3*q**2 - 3*q. Let t(g) = d(g) - 3*z(g). Factor t(v).\nAnswer: v**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 4 - 3. Let g be (-32)\/4*30\/(-48). Solve 0 = 3*b - g*b + 3*x - u, -3*b - 5*x = -8 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13\/7 - 19\/14. Which is the smallest value? (a) -3 (b) 0.3 (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w be 272\/6*43\/4. Let d = w + -5551\/12. Find the common denominator of 3 - 3\/(24\/94) and d.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, y: 2, t: 8, i: 1, c: 1, d: 1}. What is prob of picking 1 q and 1 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Product of -21 and -63.\nAnswer: 1323","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 159 = c + 2*n, 20*n + 12 = 18*n. What is the remainder when 351 is divided by c?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(i) = 21*i**2 - 39*i**2 + 16*i**2. Let b(c) be the second derivative of -1\/6*c**4 - c + 0*c**3 + 0*c**2 + 0. Calculate b(n(s)).\nAnswer: -8*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let z(q) = q**3 - q**2 - 6*q + 1. Let d be 32\/4*2\/4. Let w be z(d). Solve -b = -3*x + 5, -5*b - w = -0*b + 5*x for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -2*u**2 - 37*u + 128*u + 74*u.\nAnswer: -2*u**2 + 165*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -2*k**2*u**3 - k**2*u**2*x**4 - 4*k**2*u**2*x + 2*k*u**3*x**2 + 32*u**3*x**4 + 2*u**3*x wrt x.\nAnswer: -24*k**2*u**2*x + 768*u**3*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -2 + 73635?\nAnswer: 73633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 2 q when two letters picked without replacement from ddrrrdrrdrqdrq.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*b - o + 0*o = -7, 0 = -3*b - 4*o - 8. Let z = 4 - b. Suppose 0 = -h - z*h + 12. What are the prime factors of h?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 481.9 rounded to the nearest 100?\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -16 - (72 + (-47 + 19 - 10)).\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let k be 43\/28 - 23\/(-552)*-36. Which is the closest to 0.1? (a) 3 (b) k (c) 0.08\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.1 + 14412138.\nAnswer: 14412137.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -49 - -134. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 691 minutes before 11:38 AM?\nAnswer: 12:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (2\/3)\/((-56 - -30)\/(-78)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 149*f**2 - 2 - 143*f**2 + 2 - 2 + 5 to the form u*f + a + w*f**2 and give w.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -1900353, -1900979, -1901607, -1902237, -1902869, -1903503, -1904139?\n\"Answer: -z**2 - 623*z - 1899729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 169 + -70. Let i = w - 94. Which is the third biggest value? (a) 0.1 (b) -4 (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2529.\nAnswer: 3, 281","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21*x - 620 = 15*x - 56*x for x.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*v - 8*v = 6*v - 126 for v.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(g) = 693*g**2 - 305*g - 2973. Is d(-10) a multiple of 187?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many meters are there in 1\/5 of a kilometer?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let d(q) = -4*q**3 + 2*q + 1. Let o be d(-1). Suppose 4*j - 28 = 5*v, 0 = -2*j + 2*v + o + 11. Let s = j + 64. Is s a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -81096, -17, 0.\nAnswer: -81096, -17, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o be 455\/20 - 4 - (-3)\/(-4). What is the remainder when 26 is divided by -1 + 284\/o - 4\/(-18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(d) = 6*d + 19. Let l be n(5). Calculate the greatest common factor of 7 and l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(n) = -170*n - 6600. Is o(-41) a multiple of 31?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -47 - -91. Let r(u) = 2*u**2 + 7*u + 25. Let o be r(8). Calculate the greatest common divisor of o and k.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*x**2\/15 + 5984*x\/15 + 1994\/5.\nAnswer: 2*(x + 1)*(x + 2991)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g be ((-196)\/2420)\/((-9992)\/1660 - -6). Let s = g + 21\/121. Let a = 301\/23 + -1883\/230. Calculate the common denominator of s and a.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 372 minutes before 9:30 AM?\nAnswer: 3:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -h = 5*d + 32, -45 = 3*h - 2*d - 0*d. Let g be (h - -16)*(-2)\/(4\/58). Let a = 106 - g. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 274 minutes before 3:18 PM?\nAnswer: 10:44 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.000005137 rounded to six dps?\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express x**3 - 72*x + 72*x - x**2 in the form c*x + g*x**3 + q + u*x**2 and give g.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 23, -4, 2\/7, -0.3?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -1.15? (a) 5 (b) 2\/13 (c) 2 (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (3\/(144\/242))\/((-682)\/(-248)).\nAnswer: 11\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let o = -39 - -63. Suppose 0 = -19*b + o*b - 700. Does 20 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence im when two letters picked without replacement from mmzimimmziammam?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*c + 7 + 8 = -3*t, -5*c + 13 = t. Let i(m) = 4*m**3 - 70*m**2 - 15*m - 3. Let v(h) = -6*h**2 - h. Let a(s) = i(s) - 12*v(s). What is a(t)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((w\/w**(-2\/9))\/(w**(-1\/27)*w))**48 assuming w is positive.\nAnswer: w**(112\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let j(i) be the third derivative of i**5\/480 - 7*i**4\/24 + 49*i**3\/3 - 210*i**2. Suppose j(x) = 0. What is x?\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -3\/4 (b) 4 (c) -0.0481 (d) -31\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -3\/5 in -4568, -1\/560, 2, -4?\nAnswer: -1\/560","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -16*y = 37*y - 1484. Calculate the remainder when y is divided by 20.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(v) = -5*v - 22. Let t be q(-2). Is t bigger than -11?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, -6, -2, -56, -7, 5, -1 in descending order.\nAnswer: 5, 1, -1, -2, -6, -7, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 703 and 3626?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Are -269 and 18.01 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 3024 and (1 - (-8 + 4 - -7))*(1 - 9)?\nAnswer: 3024","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -11 + 25. Let r = n - 12. Calculate the smallest common multiple of r and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -1\/3, -0.3, 5\/27?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(3136) + (1*(sqrt(3136) - -3*sqrt(3136)) - sqrt(3136)))\/(sqrt(21)\/(sqrt(75)*-1 - sqrt(3)))*6.\nAnswer: -1152*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let w(f) = 7*f + 32. What is w(-5)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Express 4*j**3 - 2*j**3 - j**2 + 9 + 2*j - 12 as k*j**3 + a*j + t + o*j**2 and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -0.7 - -1. Which is the biggest value? (a) 0.1 (b) 0 (c) p\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (25 + 184 + 148 + 10)*(621 - 621 + 56*i).\nAnswer: 20552*i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 11 divide 704222?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 1198*t - 1200*t = 3*o - 48, -4*o = -4*t + 136. Calculate the least common multiple of 990 and t.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 97\/8 and -51\/196.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22 and 504.\nAnswer: 5544","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.406 take away 3?\nAnswer: -3.406","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 u when two letters picked without replacement from {b: 1, j: 8, u: 2, s: 4}.\nAnswer: 16\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 249 is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -0.24 - -0.24. Let s = -5.112 + 0.112. Which is the biggest value? (a) d (b) 2\/79 (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the first derivative of 12*g**2*l**2*z - 2*g**2*z + 5*g*l**2*z + l**2*z - 3*l*z + 7*l wrt g.\nAnswer: 24*g*l**2*z - 4*g*z + 5*l**2*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 18809881?\nAnswer: 18809881","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let r(g) be the second derivative of g**2\/2 + 6*g. Let s(z) = -3*z + 2. Let p(v) = 2*r(v) + s(v). Give p(3).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 472275 a multiple of 75?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -107 + 142. What is u in 488*u**3 - 2*u**4 - 4*u + 4*u**2 - f*u**5 - 449*u**3 - 2*u**4 = 0?\nAnswer: -1, -2\/5, 0, 2\/7, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 2*z**2 - 2*z + 2. Suppose -8 = 2*h - 0*h. Does 14 divide c(h)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 47*1\/1 + 1 is divided by 17.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -219 = -2*f - 215. Let r = -6 + 4. Let o = 1 - r. Solve o*x - 5 = v - x, -x - 4 = -f*v for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 1, 5, -19, 7, 2\/3 in decreasing order.\nAnswer: 7, 5, 1, 2\/3, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) be the third derivative of x**7\/105 + 7*x**4\/24 - x**2. What is the second derivative of t(i) wrt i?\nAnswer: 24*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 4 u when four letters picked without replacement from {u: 5, o: 7}?\nAnswer: 1\/99","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3 + ((2 + sqrt(539))*3)**2 + 3.\nAnswer: 252*sqrt(11) + 4887","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 319610593, 319610603, 319610637, 319610707, 319610825?\nAnswer: 319611003","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Express -37 + 50 + 9*k + 183*k + 314*k as q + o*k and give q.\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6\/(-8)*12\/(-42)*-14.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 3*l - 4*l + 16*l.\nAnswer: 15*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*k = 2*s + 71, -4*s + 31 + 22 = 3*k. Solve -25*v + 22*v + k = 0 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*c - 5*c = 4*f - 59, c - 5*f = 23. Let z = 31 - c. List the prime factors of (116\/z)\/(3\/(-9)).\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 33.8 - 34. What is the closest to 2\/21 in v, 2\/23, -4?\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of 7043, 7104, 7171, 7244?\n\"Answer: 3*m**2 + 52*m + 6988","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 157938 and 15420492.\nAnswer: 169625412","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {f: 1, k: 1, u: 1, r: 1, z: 1}. What is prob of picking 1 u, 1 r, and 1 f?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from qreiqqirirqqeqqq. Give prob of sequence rqq.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Put 1740, 5, 4 in descending order.\nAnswer: 1740, 5, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find j such that 105*j**4 + 2425*j**3 + 14510*j**2 + 26560*j + 2400 = 0.\nAnswer: -15, -4, -2\/21","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -3*((5*-1*(sqrt(245) - ((sqrt(245) + -2)*-5 + sqrt(245))))**2 + (0 + 2*sqrt(245) + (sqrt(245) - (-2 + 1*sqrt(245))) + sqrt(245))**2 + 3).\nAnswer: -473511 + 52248*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 83\/4686 and 145\/1191096.\nAnswer: 13102056","meta":{"dup_signals":{},"source":"numbers__lcm_test"},"subset":"dm_maths"} +{"text":"Question: What is the value of 92992\/2906 - 46\/2?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (-15)\/(-5)*(-71)\/(-3) is divided by 18?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from fsfssfffxsxs. What is prob of sequence sfxs?\nAnswer: 5\/297","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (u*u**(10\/11)\/u)\/u*u*u*u**29*(u\/u**15)\/((u\/(u\/(u*u**(2\/63)\/u)))\/u) assuming u is positive.\nAnswer: u**(12389\/693)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is (-22736520)\/(-167140) + (-8)\/244?\nAnswer: 136","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) be the third derivative of 0 + 0*i - 45*i**2 - 1\/60*i**5 - 1\/8*i**4 - 1\/6*i**3. What is b(-2)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 28004 + -28003.46654. What is a rounded to 1 dp?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 34*q*z**6 + 23*q*z**4 + 96*q*z**2 + 6 wrt z.\nAnswer: 4080*q*z**3 + 552*q*z","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 355210\/117 + -3036. Which is greater: f or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(g) = -6*g. Let v(q) = 16*q**2 - 51012 + 51012. Calculate v(l(b)).\nAnswer: 576*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let u be -1 + (0 - -2) + 3. Let d = 6 + -2. Suppose 0 = -u*o + 4*l - 16, -d*l = 2*o - 0*l - 16. Solve o*p = -p - 2 for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o(j) = 107*j + 12. Let p(q) = 53*q + 7. Determine 6*o(y) - 11*p(y).\nAnswer: 59*y - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is five quarters of a microgram in nanograms?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange -136*d - 245*d - 58*d - 709*d + (1 + 2 - 1)*(6*d - 4*d + 0*d) + 2*d - 5*d + 2*d + d - 2*d + 3*d + 0 - 2*d + 0 to the form r*d + y and give r.\nAnswer: -1145","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 0.1 - 0. Let m = -6.39 - 325.61. Let z = m + 332. What is the nearest to z in -1\/6, s, -1\/2?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1644978 to the power of 1\/10, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let d(i) = 10*i**2 - 2*i. What are the prime factors of d(2)?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 56.34029 millennia in months?\nAnswer: 676083.48","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -1110 - -1111. Let m = -47.6 - -46.6. Which is the closest to m? (a) -2 (b) -0.5 (c) -2\/7 (d) j\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: -3d71 (base 14) to base 16\nAnswer: -2a7f","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let a be (-1)\/(-9) - (-4056)\/1404. Let g = 2 + -6. Put a, 4, g in descending order.\nAnswer: 4, a, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 78*u**3 - 258*u**3 + 90*u**3 + 89*u**3.\nAnswer: -u**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2144221 (base 8) to base 7\nAnswer: 4615142","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1*1)\/((88\/(-40))\/11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 191.3 - 5?\nAnswer: 186.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let d(l) = l**3 + l**2 + l. Let z(f) = -10*f**3 - 3*f**2 - 5*f. Let p(k) = -5*d(k) - z(k). What is the third derivative of p(w) wrt w?\nAnswer: 30","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = -y + 21. Let a(q) be the second derivative of q**3\/6 - 5*q**2 + 1984*q. What is 13*a(b) + 6*p(b)?\nAnswer: 7*b - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 3.88 + 1.12. Which is the third smallest value? (a) 0 (b) 1\/82 (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence dt when two letters picked without replacement from {t: 1, d: 13, q: 1}?\nAnswer: 13\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 43.88 + -41. Let m = 3 - r. Let k = m - 0.12000014. What is k rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = 9*h**2 - 4*h + 4. Let u(x) = -19*x**2 + 9*x - 9. Let r(n) = 9*q(n) + 4*u(n). Let a(c) = 5*c**2. Determine r(a(o)).\nAnswer: 125*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4774 = 3*d + 157. Is 9 a factor of d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -12 (base 4) to base 9.\nAnswer: -6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-b**4 - 3*b**4 + 2*b**4)*(4*b + 4*b - 4*b) + 101*b - 6*b**5 - 101*b + 0*b**3 + 0*b**3 - 2*b**5.\nAnswer: -16*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 231 + -9002\/39. Which is smaller: 1 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -400*u**3 + 766*u**3 + 501 + 507*u**3 wrt u.\nAnswer: 2619*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(n) be the first derivative of 3*n**4\/7 + n**3\/7 - 6*n**2\/7 - 3*n\/7 - 2. Factor q(x).\nAnswer: 3*(x - 1)*(x + 1)*(4*x + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 2 + 6. Let n be (-12)\/(-8)*r\/3. Let k = n + 7. Does 10 divide k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -13 - 34 = -3*f - 5*t, 4*f = -3*t + 70. Suppose 0 = 2*c - 6 - 4. Calculate the remainder when f is divided by c.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence ddhj when four letters picked without replacement from dhdhdhhjdt.\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: -97.8 * 3.6\nAnswer: -352.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of 1384496 and 0.3?\nAnswer: 415348.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Solve -2*a**3\/5 + 14*a**2\/5 - 72\/5 = 0 for a.\nAnswer: -2, 3, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 590 a factor of 1538747?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand -1000 + 25*a**3 + 27*a**3 + 30*a**3 - 83*a**3 + (2*a**2 + 4*a**2 - 2*a**2)*(2 - 2 - 2*a).\nAnswer: -9*a**3 - 1000","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 18 a factor of 18846?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**2 - 6*q + 9. Let p be a(-7). What is the tens digit of 0 + p\/(6\/33)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(x) = x - 3. Let f be j(-3). Let z = 10 + f. Suppose -z*s + s + 9 = 0. What is the units digit of s?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 50544 to the power of 1\/2, to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -28 - 46?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of (-5)\/((5\/(-15))\/(33\/9))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert 429.4116 millilitres to litres.\nAnswer: 0.4294116","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the eighth root of 204866 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 76 is divided by 56.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let h = -5699.3 - -5699. Which is the nearest to 0? (a) 4\/7 (b) -4.9 (c) -2 (d) h\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 269186 is divided by 6981?\nAnswer: 3908","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Solve 70041*t = 70062*t - 399 for t.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17 = -3*b + 7*v - 3*v, -4*b - 5*v = -29. Suppose -j = -3*j + 8. Sort b, j, -3.\nAnswer: -3, b, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 1\/(10\/(-2))*(-23 - -22).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: In base 6, what is -351 + -102145?\nAnswer: -102540","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Express (2 - 2 + s)*((8 + 2 - 1)*(2 - 2 + 2*s) + 3*s - 3*s - s) in the form g + l*s**2 + r*s and give l.\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 7.12 + -97.32. What is n rounded to zero dps?\nAnswer: -90","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/2226102 and 79\/257010.\nAnswer: 144696630","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 2\/3137 + 454829\/56466. Let u be (-4)\/(-30) - 229206\/7020. Let a = u + 396\/13. What is the common denominator of b and a?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 6073 is divided by 1578?\nAnswer: 1339","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or 14\/1317725?\nAnswer: 14\/1317725","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (6 - 1)*(-22 + 24).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Put -2\/9, 10077, -2\/13, -0.5 in descending order.\nAnswer: 10077, -2\/13, -2\/9, -0.5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is -4 - -12d701?\nAnswer: 12d6fd","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 22082409 to the power of 1\/5, to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 373 + -231. Suppose -8*v = 30 - n. What is the units digit of v?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(z) = z**2 - 9*z + 10. Let i be t(8). Suppose -15 = -5*o, 5*a - i*o = 3*a - 2. Solve 0 + a = -f for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12436 is divided by 170.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Is 31553 at most 31552?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*k = -0*k + 56. What is the least common multiple of k and 14?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.014 equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the third derivative of -16*y**7\/105 - 23*y**4\/24 + 3*y**2. Find the second derivative of s(m) wrt m.\nAnswer: -384*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 5\/((-900)\/(-494)) - 4 and -97\/80.\nAnswer: 720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 5.08 + -0.08. Let l = 7 - z. Let p = l - 1.6. Sort 0.5, p, -0.5.\nAnswer: -0.5, p, 0.5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 4369231 to the nearest integer?\nAnswer: 2090","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-19)*v)\/v**(-4) assuming v is positive.\nAnswer: v**(-14)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 2 - (-13 - (-56)\/7)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 4 + (-2 - -1) + -98 + 87.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 x when two letters picked without replacement from {b: 5, x: 7, z: 7}?\nAnswer: 49\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-11)\/(-66))\/((-6)\/8).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 246 minutes before 4:09 PM?\nAnswer: 12:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 17192767?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*j**4 + 5*j**2 - 5*j**2 + (25*j**3 - 29*j**3 - 41*j**3)*(j - j + 8*j).\nAnswer: -358*j**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let r(n) = -2*n**2 + 4 + 2*n**2 + 4*n + n**2. Suppose -j + 3 - 1 = 0. Suppose -22 + 12 = j*q. Calculate r(q).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-158)\/252 - 635\/(-1143))\/((-1)\/14)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s and 1 d when two letters picked without replacement from {z: 2, k: 1, i: 2, d: 1, s: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 106331673 is divided by 3286?\nAnswer: 3285","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g = -g + 58. Let m = g + -20. Calculate the highest common factor of m and 99.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(b) = b**3 + b - 2. Let y(o) be the first derivative of -5*o**4\/4 + 176*o**3\/3 + 77*o**2\/2 - 10*o + 157. Let x(j) = 10*w(j) - 2*y(j). Factor x(f).\nAnswer: 4*f*(f - 18)*(5*f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -8 + 8. Suppose d - 3*d + j = 359, -j + 177 = -d. Let i = 1272\/7 + d. Put i, g, -1\/4 in decreasing order.\nAnswer: g, -1\/4, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -242 + 115. Let p = 65 - j. List the prime factors of p.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4799910 a multiple of 193?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: In base 8, what is -2756 - 131?\nAnswer: -3107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 438 - -2371. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -9269893*i**3 + 2*i**2 - 83100753*i - 2.\nAnswer: -55619358","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -0.2 + 0.3. Let s be 2\/10 - 351\/3705. Let r be (-1)\/(-2) - (-2 + 2). What is the nearest to r in s, -1, t?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 4229433 to the power of 1\/2, to the nearest integer?\nAnswer: 2057","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the vth term of -23, -17, 3, 43, 109, 207, 343?\n\"Answer: v**3 + v**2 - 4*v - 21","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 1.8729, -4, -0.5, 84, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the fth term of -15478, -30962, -46444, -61924, -77402, -92878?\n\"Answer: f**2 - 15487*f + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 12480 is divided by 5930.\nAnswer: 620","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2060842630?\nAnswer: 2, 5, 7, 11, 2676419","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + -3 + sqrt(1300) + -1 + (2*1*(-4*sqrt(117))\/sqrt(9))**2.\nAnswer: 10*sqrt(13) + 828","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: -5 (base 8) to base 3\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 2 - 6. Let g be (9\/6)\/(5\/2). Let h be (-6)\/(-14) - (-12)\/2520*-174. What is the nearest to -1 in g, h, v?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -2 + sqrt(396) + (-1*(sqrt(396) + 1) + sqrt(396))**2 + (4 + 0 + sqrt(396))**2.\nAnswer: 54*sqrt(11) + 411","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let -2*c**3\/7 - 246*c**2\/7 - 240*c\/7 + 488\/7 = 0. What is c?\nAnswer: -122, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let j(b) = -13*b + 7. Let f be (-8)\/(-18) + (-3346)\/(-2151). Suppose 3*m + 2*m + 25 = 0. Let o(l) = -6*l + 3. Determine f*j(v) + m*o(v).\nAnswer: 4*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.05, 4, 2\/9, -0.033, -3 in descending order.\nAnswer: 4, 2\/9, -0.033, -0.05, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-22)\/88)\/(15\/18).\nAnswer: -3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let h(s) = -2*s**2. Let d(a) = -1987*a**2. Give d(h(o)).\nAnswer: -7948*o**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Divide -10 by -49174.\nAnswer: 5\/24587","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 18\/5 of a litre?\nAnswer: 3600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let y be 2\/(-3) + (-867)\/9. Let o = 136 + y. Let v = -21 + o. 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 smallest common multiple of 35 and 98910?\nAnswer: 98910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange b - b + 2*b**2 + (2 - 5 + 2)*(0 + 0 + b**2) + 31 + 3290*b**2 - 1587*b**2 - 1646*b**2 to the form w*b + i*b**2 + l and give i.\nAnswer: 58","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 59 + -64. Let y = 0.88 - 5.78. Let v = y - f. Are -1 and v equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -5\/6 in -11, -4, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*x - 9880 = -27*x. Calculate the highest common divisor of 52 and x.\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -4 in 6, 1\/50, -0.2, -0.1?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of -27945, -27944, -27923, -27864, -27749, -27560, -27279?\n\"Answer: 3*p**3 - 8*p**2 + 4*p - 27944","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 1907.5 + -1907. Let y = 2.125 - 0.125. Which is the smallest value? (a) o (b) 0.2 (c) 16 (d) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (d - d + 3*d**3)*(2 - 2 + 2*d) + (5 - 14 + 11 - d)*(-2*d**3 + 2 - 2).\nAnswer: 8*d**4 - 4*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in fifty-one quarters of a millimeter?\nAnswer: 12750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {x: 2, i: 1, d: 1, k: 2, o: 1}. What is prob of sequence kki?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -18*l**2 - 20*l + 68*l**2 - 155 + 18*l.\nAnswer: 50*l**2 - 2*l - 155","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 616 minutes after 8:15 PM?\nAnswer: 6:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the third root of 2903932801 to the nearest integer?\nAnswer: 1427","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 r and 2 o when three letters picked without replacement from aroroaoroorr.\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 4ab + a5652?\nAnswer: a5b30","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -10 + 16. Let b(o) = -o**3 + 5*o**2 + 9*o - 8. What is the tens digit of b(n)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from qtntqqtttkgq. What is prob of picking 1 n and 1 q?\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 1, 21, 24, 5 in descending order.\nAnswer: 24, 21, 5, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11555 = 13*k - 2394. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is 26717aa + -21?\nAnswer: 2671789","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let k(a) = -2*a. Let d(m) = 8*m - 2104. Give d(k(x)).\nAnswer: -16*x - 2104","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 6167 + -6166.994511. What is a rounded to three dps?\nAnswer: 0.005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15*(-7)\/(-21) - -8\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Product of 255 and 1.\nAnswer: 255","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2 plus 0.03913?\nAnswer: 0.23913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let u(i) = -7*i - 1. Let z(k) = -k**3 - 5*k**2 + 6*k + 2. Let v be z(-6). Suppose v*h + 0 = 12. Let o(y) = -y**2 + 7*y - 5. Let b be o(h). Calculate u(b).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: 1*12*1*270\/648\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 4*o + 8*o. Suppose z + 0*z + 4759996 = -2*i, 4*z + 5*i + 19039990 = o. What is z rounded to the nearest one hundred thousand?\nAnswer: -4800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 4 + 11. Let x be (-7)\/h - (-4)\/6. Let d = 0.09 + -5.09. Which is the nearest to 0? (a) 0.5 (b) d (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(i) = 3*i**3 - i**2 - i. Let l be (-2 - (-3)\/1) + -5. Let t(q) = q**2 + 4*q - 1. Let m be t(l). Give b(m).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b be -2*(-2 + -8) - -2. Solve -4*u - 3*r + 11 = 0, r - b = -4*u - u for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f - 114 + 10 = -2*n, 77 = 2*n + 5*f. Suppose 971*y - 978*y + 119 = 0. What is the remainder when n is divided by y?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence hwh when three letters picked without replacement from hwhwwwhhwwhwn.\nAnswer: 35\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.2? (a) -6.7 (b) 1\/4 (c) -0.5469\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -3 + 112?\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let y(c) be the third derivative of c**7\/1260 + c**5\/10 + 23*c**2. Let k(o) be the third derivative of y(o). Let s(f) = -5*f. Give s(k(l)).\nAnswer: -20*l","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (k\/k**(-2))**(-21) assuming k is positive.\nAnswer: k**(-63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, -0.3, 282184 in decreasing order.\nAnswer: 282184, 4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 21, 49, 87, 129, 169?\nAnswer: 201","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1 and -661?\nAnswer: 661","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of sequence vw when two letters picked without replacement from {v: 4, m: 3, w: 11}?\nAnswer: 22\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let y(p) = -11*p**2 - 212*p + 151. Give y(-20).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.4973 rounded to one decimal place?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 278 divided by 44.\nAnswer: 139\/22","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -1822, -3663, -5504, -7345?\nAnswer: -9186","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (-3)\/(2 + 62\/(-28)). Is 5 a factor of 282\/14 + (-2)\/f?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 16, what is 1 - -91?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth biggest value? (a) 0 (b) -2\/7 (c) 1 (d) 2016943\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 24158 is divided by 11739?\nAnswer: 680","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {q: 1, a: 3, c: 1}. Give prob of picking 1 q and 1 a.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Convert 2.4127428 months to years.\nAnswer: 0.2010619","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort -2\/9, 1, 4, 0, 2.7.\nAnswer: -2\/9, 0, 1, 2.7, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0*b = 7*b - 5*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let q be (26 + -7 + -49)*(-6 - 2). What is the highest common factor of q and 816?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -4, -60798, 2 in descending order.\nAnswer: 2, -4, -60798","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 15*q = 3*q + 12. Is (-56 - -57) + q + 989 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -29 - -21. Let n = a + 8. Suppose n = -5*t - 10 + 60. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) be the first derivative of 33265793*t**3 + t**2\/2 + 6*t - 23. Let q be l(-2). Suppose 14*b - 2610480 = q. Round b to the nearest 1000000.\nAnswer: 29000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 14816306 is divided by 30549?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 5 - 8. Let f = 556.5 + -401. Let u = 155 - f. Which is the closest to -2? (a) u (b) w (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-1 + 2 - 0) + 24 + -28.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let v(d) = -d**3 + 22*d**2 + 4*d - 75. Calculate v(22).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is 3 - -393c?\nAnswer: 3941","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let t(h) = 23334*h + 4. Let a be t(-6). What is a rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 21197, 42396, 63595, 84794, 105993, 127192?\nAnswer: 148391","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -932438 divided by 14.\nAnswer: -466219\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is (-4)\/(3696\/33)*-12?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 174 divided by -17.\nAnswer: -174\/17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: ((-2)\/(-42)*-1)\/(4\/(-24))\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 6*(2 + sqrt(187)\/(2*sqrt(1331)))**2.\nAnswer: 12*sqrt(17)\/11 + 5859\/242","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-2)\/(240\/(-18)))\/(176\/60 + -3)?\nAnswer: -9\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9954 = 4*z + 3*z. Suppose 11*w - z = 536. Is w a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 45 = 4*x - 7*x. Let u = x + 18. List the prime factors of u.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -1.542 and 5161?\nAnswer: -7958.262","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let g(u) = 60767*u**2. Let y(i) = i. What is g(y(a))?\nAnswer: 60767*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 246450.0557 + -246475. Let k = -25 - l. What is k rounded to two dps?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 480 and 80.\nAnswer: 480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is -669\/11 greater than or equal to -60?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/9*r**2 + 0 - 2\/9*r**3 + 0*r.\nAnswer: -2*r**2*(r + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 26521*o**6 - 12439*o**2 + 2?\nAnswer: 3182520*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let z(u) = 4*u**3 - 50*u**2 + 520*u + 69. What is the tens digit of z(24)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 16 + i**3 + 2*i**2 + 2*i**4 + 7*i**3 - 5*i**3 - 15 + 134*i - i**3 to b*i**4 + p*i**2 + n*i**3 + m + j*i and give n.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 24108 divided by -3.\nAnswer: -8036","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: 10\/(-3 + 2) - 153\/(1836\/120)\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 18 by -419968.\nAnswer: -9\/209984","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, -0.0158, 4, -4, -5\/6 in decreasing order.\nAnswer: 4, -0.0158, -5\/6, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -191028*m**4 + 18*m**2 - 3953663*m.\nAnswer: -2292336*m**2 + 36","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 544295 divided by -1?\nAnswer: -544295","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose x**4\/9 + 988*x**3\/9 + 244036*x**2\/9 = 0. Calculate x.\nAnswer: -494, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let h(a) = -95*a**2 - 234*a + 67. Determine h(-5).\nAnswer: -1138","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let k = -16 + 18. Suppose -5*h + k*z + 67 + 37 = 0, -5*z - 73 = -4*h. What is the units digit of h?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*y = 5*n + 30, -2*y - 2 = -4*y + 4*n. Let h be (-141000)\/(1 - y\/10). What is h rounded to the nearest one hundred thousand?\nAnswer: 1400000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -36 - -47. Suppose -36 = y*l + 437. Let q = l + 48. What is the nearest to -1\/4 in -3, q, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 646 and 152?\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let v(g) = 4*g**2 - 26*g - 36. Let c be v(12). Suppose 4*i - 7*i + c = 0. What is the remainder when i is divided by 22?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 200 + -111?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: -7416 + 163\nAnswer: -7253","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1858201.159964 - 1858191. Let b = k - 10.27. Let n = 0.11 + b. Round n to five dps.\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2\/7? (a) -22 (b) -1\/3 (c) 1\/15 (d) 3\/2 (e) 115\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Find i such that -2*i**4 - 3674*i**3 - 1689120*i**2 - 1685448*i = 0.\nAnswer: -918, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -6, 24243676, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 31474897 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Find q such that 4*q**3 + 2244*q**2 - 6768*q = 0.\nAnswer: -564, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = -p**2 - p - 3. Let u be a(0). Let g(w) = -2*w**3 - 2*w**2 + 5*w - 1. What are the prime factors of g(u)?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1103626?\nAnswer: 2, 551813","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let q(p) = -121*p - 26. Let x(h) = 24*h + 5. Give -2*q(b) - 11*x(b).\nAnswer: -22*b - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 449021508 to the power of 1\/2, to the nearest integer?\nAnswer: 21190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7535*s + 5*i + 43 = -7537*s, 3*s = -i - 32 for s.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (i*(i**(-12)*i)\/i)\/i**(-11)*(i*i\/(i**(-21)*i)*i*i)\/(i*i**(-3\/10)) assuming i is positive.\nAnswer: i**(233\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is -222001 - -122010?\nAnswer: -22221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 388621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 3055 - -5?\nAnswer: 305a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let v(b) = -b - 7. Let y be v(-7). Suppose 2 = -2*p + 2*m, y*m + 13 = 3*p + 5*m. Suppose 0 = -27*c + 37*c. Put c, p, -3 in decreasing order.\nAnswer: p, c, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the cth term of -56200, -56198, -56196, -56194?\n\"Answer: 2*c - 56202","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (17 - (-7 - -4)) + -29 + (-59 - 1)?\nAnswer: -69","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.000379 rounded to 4 decimal places?\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 305 is divided by 110.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 13739365, 13739334, 13739289, 13739224, 13739133?\nAnswer: 13739010","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: -22b7 (base 13) to base 11\nAnswer: -3739","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -4, 0.17, -5?\nAnswer: 0.17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence rrc when three letters picked without replacement from rcrxxggxxxcxg.\nAnswer: 1\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7*l + 8 = -3*l for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 5820941?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a(n) be the second derivative of 11*n**3\/3 + n**2\/2 + 2*n. Let f be a(1). Suppose -2860 = 10*h - f*h. What is the units digit of h?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1599197 is divided by 95?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let j = -61 - -62. What is the remainder when 53 is divided by j\/((-265)\/45 - -6)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 3, d: 5}. What is prob of picking 2 t?\nAnswer: 3\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is -287 greater than -508?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let p(z) be the first derivative of -z**4\/4 - z**3 + z**2 - 3*z - 14. Let f be p(-4). Solve -f*m - 3 = 2 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(72)\/((sqrt(9)*2 + sqrt(9))\/sqrt(3)))\/((sqrt(252)\/(sqrt(7) + sqrt(112)))\/sqrt(3)).\nAnswer: 5*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f - f = 3*j - 629, -3*f + 2*j = -911. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 4468951.\nAnswer: 79, 56569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Is 41703976903 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 5 + 7 + 12*k**2 - 12.\nAnswer: 12*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f(h) = -h + 31. Let a be f(10). Suppose -4*q - a = y + q, q + 5 = 0. Let d(t) = t - 5. What is d(y)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand 2*c**3 - 3*c**3 + 5*c**3 + (c + 1 + c + 2)*(0 + 0 + c**2).\nAnswer: 6*c**3 + 3*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let g(f) = f**3 - 13*f**2 + 17*f + 10. Let v be g(11). Let a = -42 - v. Calculate the smallest common multiple of a and 9.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3495 is divided by 120?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is nine tenths of a microgram in nanograms?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1596 - 1595.7. Which is the third biggest value? (a) -1\/80 (b) 0 (c) u (d) 2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many centuries are there in 19.11287 decades?\nAnswer: 1.911287","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 1212685 to the nearest integer?\nAnswer: 1101","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -444 + 723. Let p(i) = -3*i**3 - 6*i**2 - 3*i - 9. Let l be p(-6). Let m = l - t. Calculate the highest common factor of m and 27.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -j - 17. Calculate y(-22).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u(p) = -p**2 - 10*p + 13. Let s be u(-11). Let y be (-3)\/(-5)*s\/(-3). Let m = 1.3 + -1. Which is the second biggest value? (a) y (b) 0.5 (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -475 - -705. Is 14 a factor of g?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to 0.1? (a) 3\/4 (b) 5 (c) 0 (d) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let n(m) = -15*m**2. Let l(k) = -3*k**2. Let d(h) = -11*l(h) + 2*n(h). Let a(t) = -8*t**2 + 2. Calculate a(d(p)).\nAnswer: -72*p**4 + 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is -44 + -20002?\nAnswer: -20101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 102 (base 12) to base 5.\nAnswer: 1041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let u(l) = -l**3 - 6*l**2 + 8*l + 2. Let f be u(-7). Let g(q) = 52*q**2 - 21*q**2 - 28*q**2 - 4 + 0 - 3*q. What are the prime factors of g(f)?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*l - 1 = 5. Suppose -11*x = -3*x - 144. Let i(b) = 3*b - x + 4 + 11. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x = -351.55 - -355. Let o = 0.55 + x. What is the closest to 0.073 in -4\/7, -1\/4, 0, o?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 83931 is divided by 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 3*m - 0*m - 93. Suppose l = 2*x - 1 - 7, -l = 0. Calculate the remainder when m is divided by 1\/(-2) - (-46)\/x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 55, 111, 167?\n\"Answer: 56*u - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let g(n) = -20*n - 2. Let m be (900\/2)\/((-57)\/(-38)). Suppose 3*s = -2*i - 0*i + 150, 4*i - m = 2*s. What is the remainder when i is divided by g(-2)?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 3 + -1. Suppose 17*m - 3 - 37 = 45. Which is the third smallest value? (a) w (b) m (c) -1.3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide -52608 by 548.\nAnswer: -96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (284\/14)\/(-2) - ((-36)\/(-10))\/((-9855)\/27375).\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -204 + 209. Suppose 6 = 5*f - y, 0*f + 4*y = 4*f - 8. Put b, f, 4, 0 in decreasing order.\nAnswer: b, 4, f, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(y) = -1. Let a(w) = 2*w + 7. Let l(c) = a(c) + 3*f(c). Suppose 0 = h + 5*b, -3*b + 7*b = h + 9. Calculate l(h).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 21 - 22 = 4*a + 3*s - 14, -5*a + 2*s = 1 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the closest to -2 in -0.2, 3, 15, 0.5?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*b**3 - 150*b**2 + 477*b = 0 for b.\nAnswer: -53, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 11441224134 (base 5) in base 11?\nAnswer: 7760a72","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: In base 3, what is 120 - 112?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -8411267*u**3 - 4995*u**2 + 562 wrt u?\nAnswer: -50467602","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Does 29 divide 608449?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 171*s - 89*s = 85*s. Solve s = -24*q + 29*q - 20 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(d) = -5084*d - 81044. Determine m(-16).\nAnswer: 300","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 211*v**3 + 773*v**3 - 410*v**3 + 664*v**3 + 345*v**3.\nAnswer: 1583*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is 1\/10 of a centimeter in millimeters?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -97\/95966208 and -31\/922752.\nAnswer: 95966208","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -53\/19744074 and 73\/47691?\nAnswer: 19744074","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) -0.2 (b) 3475.3 (c) 854\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 8406262 and 2284?\nAnswer: 1142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 588 minutes before 12:02 PM?\nAnswer: 2:14 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2 = -5*s + 8. Let d be 9*(10\/(-6) + s). Suppose d*r + 4*q - 13 = 0, -5*r + 3*q - 21 = -4. Put 4, r, 0.4 in decreasing order.\nAnswer: 4, 0.4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common factor of 1587 and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let l(u) = -2*u**2 + 3*u - 1. Let z(r) = 5*r**2 - 7*r + 1. Let a(s) = -7*l(s) - 3*z(s). Let m(c) be the first derivative of a(c). Let f(b) = b. Give f(m(y)).\nAnswer: -2*y","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 8*r = 13*r. Suppose 2*k - 116990 = -3*n, 5*k = -n - r*n + 38975. What is n rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.35 - 256.950375?\nAnswer: -256.600375","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let a(u) = u**3 - 8*u**2 + 14*u - 6. What is the remainder when a(7) is divided by 19?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 16394508 and 840744.\nAnswer: 32789016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 477624\/(-330720) - (1 + 2). Let b = -4\/689 + i. What is the common denominator of 55\/212 and b?\nAnswer: 1060","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 3\/50 of a milligram in micrograms?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*r + 73*h - 78*h + 979890, h = -4*r + 783927. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 6 + (22 - 17) + -21 + 1.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Work out -2680.2 * 0.5.\nAnswer: -1340.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 0.1 not equal to 843512?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let t(x) = -4*x**2. Let i(g) = -57*g. Calculate i(t(w)).\nAnswer: 228*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n = 0.42 + -0.02. Let f = 47\/2 - 25. Sort n, -0.5, f in descending order.\nAnswer: n, -0.5, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -39*x - 231 = -1284. What is the smallest common multiple of 132 and x?\nAnswer: 1188","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -5781, -23483, -52995, -94323, -147473, -212451?\n\"Answer: -w**3 - 5899*w**2 + 2*w + 117","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t**2 - 3719790*t - 691841882205 = 0. Calculate t.\nAnswer: -371979","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is 557 (base 14) in base 4?\nAnswer: 100201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Factor l**3 + 52*l**2 + 661*l + 2310.\nAnswer: (l + 6)*(l + 11)*(l + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Convert 0.2169935 years to decades.\nAnswer: 0.02169935","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 j and 1 q when two letters picked without replacement from fjqfj.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of 131*k**6 + 17*k**5 + 24*k**4 + k**2 + 1234385.\nAnswer: 15720*k**3 + 1020*k**2 + 576*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: What is 535.1199 millimeters in centimeters?\nAnswer: 53.51199","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many months are there in 3\/5 of a century?\nAnswer: 720","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Does 32 divide 1312?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: -6 - ((-2 - (-3 + 2)) + (26 - 30))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let d(w) be the first derivative of -5\/2*w**2 + 55 - w. Calculate d(1).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -4*o + 16 = 2*z, -4518*z - 3*o = -4516*z - 18 for z.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 44 greater than 49?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 90738 = -28*p + 99110. Suppose -283 = -5*s + 92. What is the remainder when p is divided by s?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is seven eighths of a second in milliseconds?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put 2, -3\/11, -1\/2, -1, -23643 in decreasing order.\nAnswer: 2, -3\/11, -1\/2, -1, -23643","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) be the third derivative of -m**6\/960 - m**5\/30 - 29*m**4\/192 - 7*m**3\/24 - 653*m**2. Factor i(o).\nAnswer: -(o + 1)**2*(o + 14)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -91\/270 and 145\/29592?\nAnswer: 147960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Put 1694, 2, -4 in descending order.\nAnswer: 1694, 2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5 - -1 - 0) + (0 - -2)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let s(m) = 3*m + 4. Suppose 5*o = 8*o. Let p be s(o). Solve -3*v = -2*t + 19, v + p = t - 3 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third smallest value? (a) 5 (b) 0 (c) 217\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the third biggest value in 4, -1.2, -736?\nAnswer: -736","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(c) = -6*c + 12. Suppose 5 = -d - 0. Let h(f) = 2*f - 4. Let w(p) = d*z(p) - 16*h(p). Differentiate w(l) with respect to l.\nAnswer: -2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -2717134 (base 10) to base 2.\nAnswer: -1010010111010111001110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1276 and 176.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve b + 26 - 23 = 3*y, 5*y + 9 = -3*b for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let i(k) = 155*k. Let u(h) = h**2 + 190. What is u(i(j))?\nAnswer: 24025*j**2 + 190","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 170572901.\nAnswer: 109, 281, 5569","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Work out -5 * 0.0958.\nAnswer: -0.479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let i(s) = 23*s. Let v(h) = 11*h**2 - 7*h**2 - 7*h**2 + h**2. What is v(i(u))?\nAnswer: -1058*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Do 58 and -609659 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 543 minutes before 1:42 PM?\nAnswer: 4:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is -18 + -3 + 1 + (2 - (14 - 2))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*w - 3*p - 4485 = 2*p, -3*w + 3370 = -5*p. Is w prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -695 + 3034*n**2 - 4874*n + 350 + 345 + 1281*n wrt n?\nAnswer: 6068","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -4*r**3 - 11*r**3 - 121 + 34 + 6*r**3 - 68 in the form a*r**3 + j*r + k + o*r**2 and give a.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 144451274 is divided by 13131934?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 871584673?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -20 - -57. What are the prime factors of s?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put 0.06, -28655, 2\/9, 0.4 in decreasing order.\nAnswer: 0.4, 2\/9, 0.06, -28655","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 41 + -65. Let q = -17.1 - u. Let b = q - 6.974. Round b to 2 decimal places.\nAnswer: -0.07","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -56252*s + 56250*s - 32 = -5*q, -s - 7 = 2*q for s.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Sort -3, 767, 4068, -8 in increasing order.\nAnswer: -8, -3, 767, 4068","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let o(a) be the third derivative of 0*a + 0*a**3 + 1\/60*a**6 - 3\/10*a**5 + 1\/6*a**4 + 3*a**2 + 4\/35*a**7 + 0. Find w, given that o(w) = 0.\nAnswer: -1, 0, 1\/4, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(h) = -3*h + 9. Let f(r) = 7*r - 19. Let p(n) = -4*f(n) - 9*w(n). Let c be p(-4). Let k be c\/(0\/3 - -1). Is k greater than -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -174 = -45*b + 324 + 42. Calculate the remainder when 3141 is divided by b.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -29 + 59\/2. Let u = 0.04 - 4.04. Let a be (1 + 0)*(2 - 32\/14). Put u, a, i in ascending order.\nAnswer: u, a, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13524)\/18032*((-16)\/(-132))\/(20\/(-16)).\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is (61 + -66 + 33\/(-9))*6\/(-4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Is 3 a factor of 28\/(-21) - (-134)\/6?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) = -74*s + 1045. Let m be f(14). What is the closest to 0 in 0, -5, m, 1?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -0.0011465 rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Express (11*k + k - 48*k - 32*k)*(3*k**3 - 3*k**3 - 25*k**3) in the form x*k + r*k**2 + a + w*k**3 + v*k**4 and give v.\nAnswer: 1700","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -15*v - 166. Let y(j) = 10*j + 111. Let t(p) = 5*i(p) + 7*y(p). Differentiate t(c) wrt c.\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(s) be the third derivative of 43*s**5\/30 + s**3\/6 + s**2 - 976*s - 1. Let t(d) = 3*d. What is f(t(a))?\nAnswer: 774*a**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let n be -2 + 2 - 5002\/(-4). Let x = -20067\/16 + n. Find the common denominator of 952\/(-160) - 5 - -8 and x.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 213011 - 10213?\nAnswer: 202132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Convert 505d (base 16) to base 15.\nAnswer: 6168","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let c(h) = -h**3 + 4*h**2 + 6*h + 232. Give c(0).\nAnswer: 232","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Does 3 divide 372?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-36*27\/(-6804))\/(1\/7).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x = 6*x - 3*m - 18, -x - 4*m + 1 = 0. Solve 3*a = b - 2*b + 5, -x*a + b = 5 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1423880 and 2847760.\nAnswer: 2847760","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 36.04 rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Factor 2*b**5 + 14756*b**4.\nAnswer: 2*b**4*(b + 7378)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of 21159, 60755, 126749, 219141, 337931, 483119, 654705?\n\"Answer: 13199*u**2 - u + 7961","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -3 + 0. Let m be -7*3*3\/18. Let g = m - v. Which is smaller: 0 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u be (138\/(-12))\/(1\/(-2)). Suppose 14 = 4*s - 2*a, -5*s + s + u = -5*a. Solve 2 = -t - s for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let c be (3\/(-18))\/(-3 + 6\/((-432)\/(-212))). Suppose -v = 3*v - 4. Solve 0 = -2*s + c - v for s.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 k and 1 o when two letters picked without replacement from kohrrlror?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -23.17 - 0.33. Let k = v + 23. Let w be (-2)\/(-10)*15\/12. Which is the second biggest value? (a) k (b) 0 (c) w\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1870 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: Is 20109297431 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 18970 to the power of 1\/2, to the nearest integer?\nAnswer: 138","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of -215, -458, -703, -950, -1199, -1450?\n\"Answer: -b**2 - 240*b + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the zth term of -10475, -10463, -10447, -10427, -10403, -10375, -10343?\n\"Answer: 2*z**2 + 6*z - 10483","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 9002 is divided by 101?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 19205710?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Are 2 and 16096\/16623 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let a(q) = -q**3 - q**2 - q + 3. Let s(u) = 28*u - 4. Let x be s(0). List the prime factors of a(x).\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5423268.1 rounded to the nearest one hundred thousand?\nAnswer: 5400000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 3 + sqrt(156)\/sqrt(3) + 3 - (-3 + sqrt(1300) + 2).\nAnswer: -8*sqrt(13) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 236 - 480 - 20*u + 240.\nAnswer: -20*u - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: What is -66604142 (base 8) in base 2?\nAnswer: -110110110000100001100010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Subtract 12478 from -277.\nAnswer: -12755","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m**(-2\/55)*m)\/m)**(20\/7) assuming m is positive.\nAnswer: m**(-8\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is 7.529146ml in litres?\nAnswer: 0.007529146","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1116 (base 8) in base 5?\nAnswer: 4330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Put -3, 0.0331, 3 in increasing order.\nAnswer: -3, 0.0331, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Work out -0.2 * 38.\nAnswer: -7.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand 0*w**3 + 0*w**3 + 29*w**5 + (-26*w**2 + 29*w - 29*w)*(-3*w**3 + 2*w**3 - 2*w**3) + 2*w**5 - 5*w**5 + w**5 + w**3 + 2*w**5 - w**3.\nAnswer: 107*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 2220 is divided by 333?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 143\/18 and -81\/160.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 177 - -33. Is 18 a factor of (108\/42)\/(10\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) = -2*t**2. Let c(f) = -7*f + 19. Let y(k) = k. Let l(p) = 3*c(p) + 24*y(p). Calculate l(q(o)).\nAnswer: -6*o**2 + 57","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Total of -1660396948 and 1.2.\nAnswer: -1660396946.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -3? (a) -672 (b) 0.2 (c) 0 (d) -3\/2 (e) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Is 13070669803 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is (-8 - -1)\/((-13858570)\/4619495 + -2 + 5) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m(q) = 24*q + 74. Let f be m(-3). Solve 4*r = f*k - 14, -4*k = -3*r - 2*r - 22 for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -11 - (-18)\/27*6?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {n: 9, e: 1, q: 1}. What is prob of sequence qnn?\nAnswer: 4\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (d*d*d\/d**(-3)*d\/(d**(-1\/2)*d)*d*d*((d**1*d)\/d)\/d*d**(-1\/12)\/d)**(-1) assuming d is positive.\nAnswer: d**(-89\/12)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: How many centimeters are there in 3\/50 of a meter?\nAnswer: 6","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-5)\/(-125)*10)\/(((-280)\/950)\/14)?\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 716 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-8*n - 5*n + 5*n)*(6 - 4 - 3).\nAnswer: 8*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (26\/(-65))\/(-19 + (-42009)\/(-1235) + -15).\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is 628 minutes before 4:32 AM?\nAnswer: 6:04 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -0.2 - 8.8. Let o = -57072 - -57072.3. Sort n, o, 5 in decreasing order.\nAnswer: 5, o, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {z: 1, m: 3, a: 2, s: 1, c: 12}. Give prob of sequence mmzs.\nAnswer: 1\/15504","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((m*((m*(m**(1\/5)*m)\/m)\/m)\/m*m*m)\/m**(-5)*(m*m**(-1\/3)*m)\/m**(-1\/3))**(-14) assuming m is positive.\nAnswer: m**(-644\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence mmz when three letters picked without replacement from {z: 1, m: 11}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is -853.46 minus 0?\nAnswer: -853.46","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 z and 1 j when two letters picked without replacement from {m: 8, z: 1, j: 4}?\nAnswer: 2\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let o(m) = m**2 - m. Let g be o(-3). Does g = 12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(t) be the first derivative of -t**3\/15 + 4*t**2\/5 - 12*t\/5 + 8. Factor q(h).\nAnswer: -(h - 6)*(h - 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 221, 655, 1329, 2249, 3421, 4851, 6545, 8509?\nAnswer: 10749","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -6.123 - -3.123. What is the fourth biggest value in 1\/2, -1\/2, 4, p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (v**(-2)\/((v\/(((((v\/((v\/v**(1\/8))\/v))\/v)\/v)\/v)\/v))\/v))**28\/(((v\/v**(-6))\/v)\/v**(-1\/10))**(-23\/4) assuming v is positive.\nAnswer: v**(-4057\/40)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 1512989?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 133518 is divided by 1.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-7006)\/868)\/113 - (1 + 673\/(-14) - 3)?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in 0.027, -5, 1\/2, 0.189, -10?\nAnswer: 0.189","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Solve -3*p + 44*f = 39*f, p = 2*f + 1 for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let m(x) = 6*x + 1. Let v be m(28). Let q(d) = -42 - 3*d**2 - 43 - 41 - 10*d + v - 46. What is q(-4)?\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.000507201494 to 5 dps.\nAnswer: 0.00051","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Is 793 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Divide -24960 by 10.\nAnswer: -2496","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0.272*-47976.\nAnswer: -13049.472","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: What is 8571 (base 12) in base 8?\nAnswer: 34445","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 10995202?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*u - 5*u - 5*r = -28, -3*u + r + 76 = 0. Let g = u + -18. Is g a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 306 is divided by 152.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i(z) be the second derivative of -z**4\/12 - z**2\/2 - 31*z - 1. Let a(m) = 6 + 2*m**2 - m - 2*m - 5. Calculate a(x) + i(x).\nAnswer: x**2 - 3*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is 97 minutes before 8:57 AM?\nAnswer: 7:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 124, 123, 124, 127, 132, 139?\nAnswer: 148","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -6957, -6986, -7015?\nAnswer: -7044","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -5*v**2 - 5*v + 2. Let z(n) = 8*n**2 + 4*n - 2. Let m(q) = -4*t(q) - 5*z(q). Let j(h) = 99*h**2 - 11. What is -2*j(y) - 11*m(y)?\nAnswer: 22*y**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1401 is divided by 33?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose q + 25 = 2*q - 4*j, 3*j - 60 = -q. What is the highest common divisor of 18 and q?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 1130 - 1013010?\nAnswer: -1011330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Is 419820493655 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 44 + 9. Let i = 51 + m. List the prime factors of i.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 5*a + 14 = 54, 0 = 2*a + 12. Suppose 4*g = -4 + 20. Sort t, -3, 2, g in decreasing order.\nAnswer: g, 2, t, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many tonnes are there in 997897.7 nanograms?\nAnswer: 0.0000000009978977","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve -5*w - 5 = -2*g, 0 = -9*g + 10*g + 3*w - 8 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y, 1 r, and 2 d when four letters picked without replacement from pydtdtrddmtmptrddtrp?\nAnswer: 3\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -79.75 + 0.75. Let q = -10823.93 - -10902.9337. Let h = q + u. Round h to three dps.\nAnswer: 0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: -4 (base 9) to base 3\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m(s) be the third derivative of -s**6\/120 - s**5\/120 + s**4\/8 + 6*s**2. Let k(p) be the second derivative of m(p). Find the first derivative of k(o) wrt o.\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -15 - -12. Let l be (310\/(-6))\/5*w. Calculate the highest common factor of l and 248.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-4\/5)*r**(-7)*r**8\/r**(1\/4) assuming r is positive.\nAnswer: r**(-1\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Is 8551 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 1890 to the power of 1\/8, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of -192*52\/22*-1 - 2628\/(-14454) and 7491.\nAnswer: 14982","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 14*k - 6 = 8. What is the units digit of 3\/(4400\/(-1470) + 2 + k)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*l + r + 254 = 0, l + 3*r - 54 = 16. Suppose 0 = -m - 3*m + l. What is the units digit of m?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -2700, -10551, -23550, -41697, -64992, -93435, -127026?\n\"Answer: -2574*x**2 - 129*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let b(h) be the third derivative of -h**6\/120 + h**5\/60 + h**4\/24 - 2*h**3 - 3*h**2. Give b(0).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*w + w = 12. Let a = 4 + w. Suppose -o = -a*o - 2. List the prime factors of o.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 129 - 89. Calculate the remainder when v is divided by (14\/(-4)*2)\/((-1)\/3).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w(o) = o**3 + 5*o**2 - 5*o + 4. Let n be w(-6). Let v = 21 + -29. Which is greater: n or v?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-2)\/5*13\/(-39)*-15?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-2)\/4)\/(12\/840). Let f be (-1 - 45\/s)*28. Solve -5*v - 6*g = -g - 10, 2*v - f = 2*g for v.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-1*sqrt(30)*6)\/(sqrt(24)\/(sqrt(16)\/sqrt(4) + sqrt(4))).\nAnswer: -12*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 1123 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 8 + (0 - 0) + 28 + -32?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 0.2, 1\/4, -970?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 40802, 81606, 122408, 163208, 204006?\nAnswer: 244802","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {f: 2, e: 2, l: 4, v: 3}. Give prob of picking 1 e and 1 v.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -4*b + 2*j + 14, 0*b - j - 13 = -5*b. Suppose b*w = -2*w + 20. Suppose 39 + w = 4*v. What are the prime factors of v?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is ((-21)\/6 - (-42)\/28) + (-16)\/(-7)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 3878088.\nAnswer: 2, 3, 349, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let l = -0.17 + -1.83. What is the nearest to -1\/2 in l, -4\/5, 0.3?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 31*z**2 + 4*z**3 - z**3 + 40*z**2 - 71*z**2.\nAnswer: 3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Is 1810 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 3 + 0. Suppose 5*o = 4*p + 33 + 255, -4*o - g*p + 249 = 0. Calculate the greatest common factor of o and 20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 51450 and 600.\nAnswer: 205800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 1788, 3586, 5384?\nAnswer: 7182","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let s be ((-4)\/(-66))\/1*-3. Let d = -2.0546 + 0.0546. Put d, -0.2, -1, s in descending order.\nAnswer: s, -0.2, -1, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in 378, 442, 624, 984, 1582?\nAnswer: 2478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*d - 8 + 4 = -u, -15*u + 2*d - 100 = 0. Let z(v) = -7*v**2 - v + 5. Let q(g) = 5 - 5*g**2 - 3*g**2 + 1 - g. Calculate u*z(x) + 5*q(x).\nAnswer: 2*x**2 + x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of -793*y**2 + 409 - 85*y**2 + 612 + 4 wrt y?\nAnswer: -1756*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(b) = 4*b**2 + 21*b + 11. Let u(o) = 21*o**2 - 86*o - 9. Let s(h) = 5*h**2 - 20*h - 2. Let k(a) = -17*s(a) + 4*u(a). Determine 2*f(x) + 11*k(x).\nAnswer: -3*x**2 - 2*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -768, -776, -784, -792, -800, -808?\nAnswer: -816","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-1 - (-5 - -2)) + (-84)\/49?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: What is (((-4)\/(-1))\/((-15)\/(-3)))\/(36080\/4780600)?\nAnswer: 106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: -5697, -5861, -6135, -6519, -7013, -7617, -8331?\nAnswer: -9155","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) = 104*q - 2. Let h be p(1). Let d = h - 58. Does 11 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the dth term of 18, 86, 148, 156, 62, -182, -624?\n\"Answer: -8*d**3 + 45*d**2 - 11*d - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 17832 and 7.\nAnswer: 124824","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let r(z) be the second derivative of -z**3\/3 + z**2 + 12*z. Let h(u) = 3*u - 3. What is -4*h(d) - 5*r(d)?\nAnswer: -2*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let c(x) be the first derivative of 3*x + 88. Let g = -1 + 4. Let m(y) = y - 7. Let z(l) = g*m(l) + 5*c(l). Determine z(4).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(b) = 4*b**2 - 8*b - 5. Let g(d) be the third derivative of d**5\/30 - d**4\/6 - d**3\/3 - d**2. Let x(i) = -9*g(i) + 4*u(i). Let x(j) = 0. Calculate j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -14 + 14.5. Let h = 1\/43 + -46\/129. Sort z, -2\/3, h in ascending order.\nAnswer: -2\/3, h, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand d**4 - 2*d**4 - d**4 + (d + 2*d - d)*(4*d**3 - 3*d**3 - 3*d**3) + 30*d**4 + 49*d**4 - 6*d**4.\nAnswer: 67*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let q = -198\/7 - -771\/28. What is the second biggest value in q, -3, 4\/9, 2, -2\/5?\nAnswer: 4\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*g + 3*g = 6. Let n = -3545 + 3530. Put -4, n, g in ascending order.\nAnswer: n, -4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 439 minutes before 1:56 AM?\nAnswer: 6:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 43486 + -43482. Let h be (-4)\/6 - 1\/(-15). Which is the fourth biggest value? (a) -11 (b) h (c) g (d) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*x + 2*u = 16, 5 - 13 = -x - 2*u. Let g(f) be the first derivative of -1 + f**x + 0*f + 1\/3*f**3. What is the second derivative of g(a) wrt a?\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -22*(((-10656)\/384)\/(-37))\/(66\/(-464)).\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let r = 87150155.000027 - 87150193. Let s = -38 - r. What is s rounded to 6 dps?\nAnswer: -0.000027","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 32722 is divided by 32479?\nAnswer: 243","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0*j = 5*j - 30. Let l(w) = 3*w - 1. Calculate the remainder when 2\/(3 + (-15)\/j) is divided by l(1).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 114 + -114.063. Let c = -0.02 + 0. Let r = c - d. Round r to 2 dps.\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fifth biggest value? (a) 2\/9 (b) -1.522 (c) 5 (d) -3 (e) 300\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: 213 (base 5) to base 3\nAnswer: 2011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let g(o) = -4*o**2 - 4 + 4. Let w(q) be the third derivative of -q**4\/24 + 70*q**2. Give w(g(b)).\nAnswer: 4*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 4686?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 8 - 8.392. Let o = -0.4 - h. Let j = -0.008042 - o. What is j rounded to five decimal places?\nAnswer: -0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let q(h) = h**2 + 10*h + 2. Let s be q(-10). Solve -s*b = b + 3 for b.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let r be (-234)\/39*(1 - 5\/(-2)). Is 11 a factor of 3\/r - (-1919)\/7?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l = 2379 + -2379.207. Sort 10, l, 1\/7 in decreasing order.\nAnswer: 10, 1\/7, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine y so that -2*y**3 + 7631610*y**2 + 30526472*y = 0.\nAnswer: -4, 0, 3815809","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Is 57392809 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let j(w) = -2*w + 6. Let r = 20538 + -20526. Let g(t) = 1. Suppose -p = 4*p + 10. Calculate p*j(c) + r*g(c).\nAnswer: 4*c","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 100.00798661 + -0.00690661. Let g = -100 + j. Round g to three dps.\nAnswer: 0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 1171*d**3*u**2 + 23*d**3 - 154*u wrt u.\nAnswer: 2342*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let p(m) = -m**3 - 8*m**2 + 4*m + 24. Let h be p(-8). Let u be ((-1)\/(-2))\/(2\/h). Which is the closest to u? (a) 0.4 (b) -5 (c) 0.062\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1534399 is divided by 1534130?\nAnswer: 269","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Work out 0.0102 * 224.2.\nAnswer: 2.28684","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -813817\/46 - -17689. Let k = -4\/23 - z. Which is the second biggest value? (a) -0.5 (b) k (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 33 divide 29406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let y = -410 - -1534. Let m = 4327 - y. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -f + 4 - 5, -4*b = 5*f + 13 for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 988 is divided by 33?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let y(j) = -31*j - 7. Let u(q) = -46*q - 10. Let g(l) = 5*u(l) - 7*y(l). What are the prime factors of g(-8)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(i) be the second derivative of 14*i**3\/3 - 17*i**2\/2 - 180*i. Let m(y) = 2*y. Determine z(m(n)).\nAnswer: 56*n - 17","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine s so that s**4\/3 - 446*s**3 - 1344*s**2 + 12074*s\/3 - 2235 = 0.\nAnswer: -5, 1, 1341","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40163 is divided by 6652.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 16155\/4 or 4040?\nAnswer: 16155\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -3*f + 8*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -5, -2, 4, -737, 14 in ascending order.\nAnswer: -737, -5, -4, -2, 4, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 6413, 51457, 173719, 411809, 804337, 1389913?\n\"Answer: 6435*l**3 - l**2 + 2*l - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 1 - -1100000100110?\nAnswer: 1100000100111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5)\/(-2)*14820\/2850.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 233940 divided by -58485?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Solve 300*p = 297*p - 3 for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -3 - 8*m**3 - 17661*m + 3 + 17661*m.\nAnswer: -8*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 2057382 is divided by 1209.\nAnswer: 873","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: 51 * -29\nAnswer: -1479","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b(u) = u + 2. Let j be b(0). Suppose 3*h + j*q + 1 = 0, 2*h - 3*h = -2*q + 3. Let k be (2 - -1)\/(h\/(-2)). What is the highest common divisor of 18 and k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort 1\/5, -1\/4, -18, 4, -3 in descending order.\nAnswer: 4, 1\/5, -1\/4, -3, -18","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Put -4, -1\/2, -0.2, -3\/143 in descending order.\nAnswer: -3\/143, -0.2, -1\/2, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of picking 1 w, 1 l, and 1 g when three letters picked without replacement from wzigglzwziglzwz.\nAnswer: 18\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -85 = -3*v + 17. Calculate the remainder when v is divided by ((-19)\/(-2) + 1)*20\/30.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(x) = -x - 2. Let c be k(-2). Let u = c - -3. Solve 3*h - 4*v - 17 = -0*h, 3*h + 18 = -u*v for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {c: 1, e: 2, y: 8, a: 1, w: 4}. Give prob of sequence ywyc.\nAnswer: 1\/195","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let g = -11 + 18. Suppose 2*w + 3 = g. What is the remainder when 2 is divided by w?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 17809273*k**2 - 16794088*k?\nAnswer: 35618546","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (((sqrt(320)*-3 - sqrt(320)) + sqrt(320))\/sqrt(4))**2.\nAnswer: 720","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 2801.\nAnswer: 2801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 42141?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1335 is divided by 167?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -37.851 - -37.5. Let n = 0.051 + s. What is the third biggest value in 0.5, n, 1\/11, -2\/9?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 8 - ((17 - (16 + -17)) + (-3 - -1)).\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 242220 divided by -40370?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 41055.\nAnswer: 3, 5, 7, 17, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is -658237 - -4?\nAnswer: -658233","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the ninth root of 128552605 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Expand (409*f**3 - 953*f**3 + 437*f**3)*(-2*f + 3*f + 9*f).\nAnswer: -1070*f**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 0.43 - -0.07. Let h = -3.5 - -4.2. Which is the third smallest value? (a) 3 (b) h (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -62029792 divided by 4.\nAnswer: -15507448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let j(s) = 50*s - 13. Let u(p) = -2*p - 4. Calculate -j(g) + 5*u(g).\nAnswer: -60*g - 7","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5646040\/855 + 8\/18?\nAnswer: 2, 13, 127","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = -2*c**2 - 11*c - 89. Calculate s(-11).\nAnswer: -210","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Is 931109 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*p - 2*s - 577, -2*p - 2*p = -3*s + 457. Let k = p + 115. Put -2, k, 5 in ascending order.\nAnswer: -2, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 444 and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: ((-180)\/(-54))\/((-14)\/21)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Put 32, -59704, 4 in decreasing order.\nAnswer: 32, 4, -59704","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -13661.9 + 12406. Round t to the nearest 10.\nAnswer: -1260","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the millions digit of 81240466?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 52*x**3 - 15*x**3 + 26*x**3.\nAnswer: 63*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let f be 9\/4*(-24)\/(-9). Let s = 8 - f. Let q = s + -1. What is the units digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = -18*c + 525. Let d be f(26). Let r be 5 + -13 + d\/6. Determine n, given that r - 3*n + 0*n**2 + 3*n**3 - 3\/2*n**4 = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 443 minutes before 7:32 PM?\nAnswer: 12:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Does 87 divide 1496313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the second smallest value in 1, 2, -9, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is (4 - -2) + (2 - (5 + 0))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p = -8.9922 - 0.0078. What is the closest to p in -0.5, -1\/6, -0.6?\nAnswer: -0.6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 8*i - 2584*g = -2579*g + 11, 3*i - 2*g - 5 = 0 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/3 (b) -5 (c) 779 (d) 3 (e) -23.45 (f) -0.2\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 5\/(-2)*(-5)\/(125\/110). Suppose -4*d + f = -15, -3*d + n + 6 = 5*f. Solve 11*w - d = 9*w for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 72\/29 < 0.1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -4 + 49\/12 + 11\/66.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*s + 8*s - 93. Suppose 4*k - 2*t = 9 + s, -32 = -4*k + 4*t. Solve -3*m + 6 = k for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0 + 0. Let t = -0.1 + 0.1. Which is the nearest to p? (a) 4 (b) 5 (c) t\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -21 - (-19 + (-13 - (4 + -34))).\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is -6 + 2 + 4 + -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Sort 4, 25, -0.88, 13, -1, 0, 1.2.\nAnswer: -1, -0.88, 0, 1.2, 4, 13, 25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is 19 - ((-63 - 4) + 91)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is 35\/(-10)*(-33)\/(-77)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve 7*p - 43*r + 55 = 5*p, -3*p + 3*r = -36 + 57 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let s(i) = 3*i - 2. Let k be s(2). What is the second biggest value in -2, -3\/4, k?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -9*j - 8992 = -13*j. Let p = j - 1371. Suppose 2*o = v - p - 3686, -4*v + 18246 = -2*o. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 6258\/7835 + 2\/1567. Factor 2\/5*y**2 + v*y - 6\/5.\nAnswer: 2*(y - 1)*(y + 3)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 1\/6 (b) -23\/2 (c) 5 (d) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 9129 and 51?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 279 is divided by 40?\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6*s - 6 = -4*s. Put -1\/2, 3\/7, s in ascending order.\nAnswer: s, -1\/2, 3\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 14*k - 32*k - 90 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -s = -0*s. Suppose s*c = -c. Suppose c*b - 70 = -2*b. List the prime factors of b.\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of -71*m**2*p - 2128*m**2*r*x + 3*m**2*x**3 + 39*m*p*r*x**2 - 17*m*p*r*x + 2*m*r*x**3 - 14*m*x + 3*p - 2*r*x**3 wrt m.\nAnswer: -142*p - 4256*r*x + 6*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -k = 4*m - 229, 305 = 5*m - 6*k + k. What is the remainder when m is divided by 21?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 7 + 3)*(-8*k + 10*k - 10*k) + k + 0 + 0 + (-2 + 2 - 1)*(2*k - 2 + 2) + 0*k - 2*k + k - 5*k + 2*k + 4*k - k + 0*k - 6*k.\nAnswer: -112*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 3699351 is divided by 1849609?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is 136 minutes after 5:53 AM?\nAnswer: 8:09 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 273635?\nAnswer: 5, 54727","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 122 - 977\/8. What is the biggest value in 4, -4, u?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -159 - -555. Suppose -u = -4*m + 8*m. Let t be -2*(-1)\/9 + 22\/m. Solve t = -p - 0*p + a + 4, -a - 7 = -2*p for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the xth term of -52, -343, -1076, -2455, -4684, -7967?\n\"Answer: -34*x**3 - 17*x**2 - 2*x + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-104)\/18 - (18344 + -18349).\nAnswer: -7\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d + 2*h = 9, 2*d + 1 - 5 = -2*h. Let k = -673 + 700.9. Let w = k + -28. Which is smaller: d or w?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = -5*p**2 - 5*p + 1. Let t(o) = 14*o**2 + 14*o - 3. Let u be -6 + 15 - (16 + -3). Calculate u*t(m) - 11*x(m).\nAnswer: -m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 1110, 1385, 838, -525, -2698?\nAnswer: -5675","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2)\/2*1\/1?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor u**3 - 222*u**2.\nAnswer: u**2*(u - 222)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Suppose i + 0 - 3 = 0. Let z(t) = 18*t + 4. What is the tens digit of z(i)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: 243837 divided by -33\nAnswer: -7389","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 9\/((-1 + 22\/10)*20\/(-40)).\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 5*r - 5*j + 5, -r = -2*j + 1 + 3 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*v = 8 + 12. Let a(l) = l**2 - 2*l - 3. Let s be a(4). Solve 0 = s*g - v - 0 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -1312003 (base 5) in base 13?\nAnswer: -ba18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: How many micrograms are there in 518.7216g?\nAnswer: 518721600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Solve 5273 = 177*h + 59*h - 155 for h.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Put -2, 5892\/11, 0.1, 2 in ascending order.\nAnswer: -2, 0.1, 2, 5892\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*r + 246 = r. List the prime factors of r.\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: (10 - (17 + 14 + -26)) + -3 + 0\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Is 9917 a multiple of 69?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common divisor of 27570 and 42?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Solve -7084 = 1366406*v - 1366252*v for v.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 divided by -12.\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 7:01 PM and 1:35 AM?\nAnswer: 394","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 8\/(-10)*(-160)\/8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(d) = -d**2 + d - 4. Let r(j) = -435*j**2 - 43*j - 16. Let f(y) = 5*r(y) - 20*u(y). What is the second derivative of f(h) wrt h?\nAnswer: -4310","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let f(t) = 21 - t - t**3 + 9*t**2 - 11 + 2*t. Is f(8) a multiple of 6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(s) = -s**2 - 14*s - 13. Give y(-13).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 57 and 1158459.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -4*z - 6. Let p be 1\/3 - (-180)\/27. Suppose 4*c - w = 2*c + 11, -c - 2*w - 7 = 0. Let n(x) = 2*x + 6*x + p + c*x + 10. Calculate -6*n(i) - 17*s(i).\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -2*k**4 - 2*k**3 + 1109836*k**2 - 7178920*k wrt k?\nAnswer: -24*k**2 - 12*k + 2219672","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from rtrtttttrttt. Give prob of picking 2 r and 2 t.\nAnswer: 12\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: 3224+-27\nAnswer: 3197","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: What is the smallest common multiple of 182 and 78?\nAnswer: 546","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 17622 and 198.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose g - 15 = 5*p, 0 = -5*p + p - 3*g - 31. Let y = -37 - -37. Let n = -0.11 - 0.39. What is the second biggest value in p, n, y?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(j) = -5*j + j**2 + j - 2*j - 4*j**2. Let y(f) = -3*f**2 - 5*f. Suppose -13 = 5*u + 3*i, 0*u - 3*u + 2*i - 23 = 0. Calculate u*a(o) + 6*y(o).\nAnswer: -3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Factor -4*o**3 - 1640*o**2 - 133196*o - 131560.\nAnswer: -4*(o + 1)*(o + 110)*(o + 299)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the least common multiple of 24 and 792.\nAnswer: 792","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: In base 11, what is -205976 + -3?\nAnswer: -205979","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is (36\/14)\/((-193200)\/(-140875))?\nAnswer: 15\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 396086, 1584388, 3564902, 6337622, 9902542?\n\"Answer: -h**3 + 396112*h**2 - 27*h + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Does 12 divide 2688?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-167*x**2 + 71*x**2 + 67*x**2)*(7*x - 36 + 36).\nAnswer: -203*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from dbqwk. Give prob of picking 1 w and 1 b.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 30869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -2? (a) -4\/5 (b) 5 (c) -0.02\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -v**3 + v**2 + 7*v - 13. Determine t(3).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -111\/650 and (3 + 2*(-93)\/63)*3504\/(-416)?\nAnswer: 4550","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(f) = -f**3 + 23*f**2 - 51*f - 184. Calculate s(20).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let u = -4853.99 - -5024. What is u rounded to the nearest 10?\nAnswer: 170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from aaybabybbb. What is prob of picking 1 y and 1 a?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from bbiviipibiipiib. What is prob of sequence ibiv?\nAnswer: 4\/585","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -25*l + 9*l + 437 = -39*l for l.\nAnswer: -19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 22860725 to the nearest integer?\nAnswer: 4781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: What is 107 minutes after 3:46 AM?\nAnswer: 5:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = 3*r - 10. Let z be h(10). Let p = -373 + 393. What is the greatest common factor of z and p?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-i + 0 + 0)*(-67 + 35 + 31 + 3*i) - 2*i**2 + 2 - 2.\nAnswer: -5*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = 15*x - 1. Let k be f(2). Suppose -2*o + 3*o + 4*g = -6, -3*g = -o + k. What is the least common multiple of o and 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in 0.1, -3\/8, -6527, -3, 4?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -0.12 - -0.2. What is the nearest to v in -4, -2\/11, 1?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -226 divided by 578?\nAnswer: -113\/289","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(700) - -3*sqrt(700)) + -1)**2 + -3 + sqrt(700)*3 - -6*(5*-1*sqrt(700) - -2*sqrt(700)*1).\nAnswer: -230*sqrt(7) + 11198","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 528 is divided by 121?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let g(y) = 7*y**2 + 49*y - 3. What is the units digit of g(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(p) = 16*p + 7. Determine a(4).\nAnswer: 71","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*h = -i - 8, -2*h + 2 = -0*h + 2*i. Suppose -4 = -a, -3*m + h*a + 25 = 1. Suppose -3*z + 72 = -33. What is the remainder when z is divided by m?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 0 + ((-2 + -2 + sqrt(171) + 0 + 3)*-4)**2*6.\nAnswer: -576*sqrt(19) + 16512","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Is 43365 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 5*o - 15 - 0, 3*i = 2*o + 9. Suppose i*t - 6*t = -5*c - 35, 2*c = -2*t + 106. Let f = t + 113. Is f a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 8748 and 288?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: -5ba5 (base 12) to base 16\nAnswer: -286d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.13 times 452?\nAnswer: 58.76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Does 157 divide 96362832?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Solve 6*a + 5*m - 86 = -44 - 57, m = 3 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let d(b) = b + 2. Calculate the remainder when 211\/19 - 8\/76 is divided by d(4).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -v**3 + 7*v**2 - 6*v. Let z be i(6). Let t be (z\/10)\/(0 - 1). Suppose -3*a + 4*c + 135 = t, -5*a + c = -0*c - 225. What is the tens digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i(b) = 2*b. Let p(q) = -13724020*q. Calculate i(p(h)).\nAnswer: -27448040*h","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 11 + 0 - 35*j - 10.\nAnswer: -35*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -18 = -4*o - 2*o. Let z be 3*o*(-2)\/(-33). Which is the closest to 0? (a) 3 (b) z (c) -0.02\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 329370 is divided by 20551.\nAnswer: 554","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Which is the second smallest value? (a) 1\/8 (b) 1\/2 (c) 1 (d) 0.03\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 2147504482?\nAnswer: 2, 71, 15123271","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 34*i = 37*i - 7*s + 62, 6*s - 48 = 0 for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Expand (6*h - 4*h - 3*h)*(0 - 1 - 1)*(2*h - h + 0*h).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the third smallest value in -1, 0.1, 5, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is the product of -89242.8811 and -0.2?\nAnswer: 17848.57622","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let h = 0.5 + 18.5. Let j = h - 18.99955. What is j rounded to 4 decimal places?\nAnswer: 0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 1791*o - 448*o - 4*o**2 - 449*o - 450*o - 444*o.\nAnswer: -4*o**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*u = 4*h - 4*u + 28, 3*h + 4*u = 1. Let j = h - -6. Let i = -1 + j. Which is greater: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Put -9\/23, 2, -1\/6 in ascending order.\nAnswer: -9\/23, -1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 33602.88 kilometers?\nAnswer: 33602880000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 30 and 1060.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is 17\/4 of a millennium in months?\nAnswer: 51000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*x + 19 = -2*x - q, -20 = -4*q. Let f(p) = -2*p - 6. Let u be f(x). Let w = 47\/8 - u. Which is the second biggest value? (a) 0.5 (b) 1 (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*q - 4*r - 4 = 0, -4*r = -q + r + 11. Let s(w) = -w + 1. Let i be s(q). Let l = -5.7 - -6. Which is the closest to 0.2? (a) i (b) -2\/3 (c) l\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(l) be the first derivative of l**2\/2 + 6*l + 4. Let v be s(7). Suppose 0 = 5*j - 3*h - 40, 2*h - v = 3*j - 37. Is j a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from eeysmyyswe. Give prob of picking 1 e and 1 y.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 1078 is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 2.3 + 1.2. Let j = i + -0.5. Let t = 0 + 0. Which is the closest to 2? (a) j (b) -1\/6 (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let l(s) be the first derivative of -s**2\/2 + 7*s - 14. Determine l(6).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3 = -85*q + 88*q. Let s be 1\/(-3) + q\/(-3). Let d(f) = f**2 - f + 3. What is d(s)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when (0 - (-726)\/12)\/((-1)\/(-2)) is divided by 31?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 60*a - 63*a = -5*v + 3, -3*a - 3 = -4*v for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let a(k) = k**2 - 13*k - 2. Let y be a(13). Let h(p) = 4*p + p**2 + 0*p**2 + 0*p**2. Give h(y).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*t - 4*x + 15 = 0, -3*t + 4*x + 0 = -9. Suppose 4*a = -t*o + 263, 90 + 85 = 2*o + 3*a. What is the remainder when o is divided by 10?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve l + 3*m + 12 = 0, 12*l - 4*l = -4*m - 36 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Is 16252534823 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 2:50 AM and 7:41 AM?\nAnswer: 291","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: What is the first derivative of 3*i*j*t**2 + i*j*t - 36*i*t**2 + 2*j*t**2 + t**2 + 1 wrt j?\nAnswer: 3*i*t**2 + i*t + 2*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(d) = -20*d + 8. What is l(8)?\nAnswer: -152","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let c = 2886593\/286 - 10093. What is the second smallest value in -0.05, 2\/5, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from nnknknn. What is prob of picking 3 n?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 2*h - 140537 + 2*h - 2*h.\nAnswer: 2*h - 140537","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Convert -109c4f2 (base 16) to base 9.\nAnswer: -35686231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate ((-45)\/(-18))\/(330\/(-5148)).\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Express -9*b**3 + 7*b**3 + 47*b**4 + 1 - 102*b**4 + 52*b**4 as o*b**4 + g*b**2 + v + c*b**3 + j*b and give o.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of 66\/((-38)\/95*45\/36)?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the greatest common divisor of 1071 and 204.\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 30*a - 19*a - 22. Let v(h) = h**2 - 2*h + 2. Let t be v(a). Put t, -5, 3 in decreasing order.\nAnswer: 3, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 0 - -5 - (94\/12 + -3).\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(g) = g**3 - g**2 - 26*g + 51. What is y(4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common divisor of 198 and 22?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let s(r) = 8*r**2 + 6*r - 8. Let f be s(4). Calculate the greatest common divisor of f and 18.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 7694 is divided by 62?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -6 - -8. Suppose f*x + 2*x + 5*y - 45 = 0, 2*y = 5*x - 15. Let a be x - 1 - (-15)\/15. Solve -a*m - 4*g - 7 = 0, 3*g - 8 = -g for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 7 a factor of 311186316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Expand (1 - 4 - 12)*(1 - 2*l - 1)*(443*l**2 - 186*l**2 - 199*l**2) + 0 - 2*l**3 + 0 + 3*l + 3*l - 3*l + l**3 + (-4*l + 0*l + 5*l)*(0*l**2 + l**2 - 3*l**2).\nAnswer: 1737*l**3 + 3*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 14770243 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((sqrt(441) + sqrt(441)*-2 + sqrt(441))*-4)\/(sqrt(252)*2) - (-4 + (-2 + 2 + sqrt(3087))**2).\nAnswer: -3083","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Simplify r**(-13)\/r**(-30)*(r*(r\/r**(-6))\/r*r)\/((r*((r*r*r**7)\/r*r)\/r)\/r) assuming r is positive.\nAnswer: r**17","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is the ten thousands digit of 1406138047?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = -6*h - 5*h - 11 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Express u**2 + u**3 - u**2 + (10 + 2 + 13)*(3*u**2 + 50*u**3 - 3*u**2) + 7*u + 2*u**3 - 7*u in the form v*u**3 + s + b*u**2 + p*u and give v.\nAnswer: 1253","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3 + -5a4244b?\nAnswer: -5a42451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose a = -j, 9*a - 3*j + 21 = 5*a. What is the closest to a in 12, -1\/4, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -r - 31 = -32. Let l = 3 - 3.1. What is the third smallest value in l, r, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -551.92 - 3.08. Let r = -615 - b. Is -0.01 smaller than r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of (-166832)\/(-6)*954\/424?\nAnswer: 2, 3, 10427","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be (550\/(-4)*-1)\/(6\/(-180)). Let l = x - -37169\/9. Let w = -112\/45 + l. Sort 0.5, -1\/9, w.\nAnswer: -1\/9, 0.5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k = 1855 + -1852. Let u(g) = 2*g**2 - 4*g + 1. Let a(z) = -2*z**2 + 3*z. What is k*a(s) + 2*u(s)?\nAnswer: -2*s**2 + s + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is 2340 + -1888?\nAnswer: 785","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is -20 + c?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: 0 * 0.0313\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Round -11.95543477 to one decimal place.\nAnswer: -12","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 3 or 4833148?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l(t) = t**3 - 1. Let b be l(-1). Let y = b - -3. Let s be 11\/12 - (-1)\/(-4). Which is greater: y or s?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let m be (-34)\/(-42) - ((-615)\/(-492) - 62\/56). Factor 46\/3 - 44\/3*o - m*o**2.\nAnswer: -2*(o - 1)*(o + 23)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z(t) = -129*t + 24607. Determine z(190).\nAnswer: 97","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the gth term of 334, 598, 866, 1138, 1414?\n\"Answer: 2*g**2 + 258*g + 74","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 5694053137 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 24 a factor of 93624?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 1542651 and 17109402.\nAnswer: 188203422","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 2*h = 5*s - 25, s + 3*s + 3*h + 3 = 0. Suppose -s*b + 252 = 5*c, c - 16 - 33 = -2*b. What is the tens digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 89966 a multiple of 98?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 9 + -2. Let v be (g\/(-14))\/((-1)\/10). Suppose 30 = v*z + 5. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the smallest value? (a) 3 (b) 5469 (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Divide -2790 by 5.\nAnswer: -558","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -38*h - 292 = -42*h. Let g = -69 + h. Factor -28*y**2 - 2*y**4 + 10*y**2 + 4*y + 20*y**3 - 4*y**g.\nAnswer: -2*y*(y - 2)*(y - 1)*(3*y - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 1814 to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 0.32 + -0.02. Let u = -15.38 - -14.98. What is the biggest value in u, p, -0.7?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 649 is divided by 26.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -49, -73, -97, -121, -145, -169?\nAnswer: -193","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 29*y - 11*y = -13*y - 217 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: How many decades are there in 819818.1 years?\nAnswer: 81981.81","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 261789211 rounded to the nearest 10000?\nAnswer: 261790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let l(k) = -k**2 + 50*k - 66. Calculate l(16).\nAnswer: 478","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let l(r) = 14*r + 235. Let o be l(-18). Let g be (11 - o)\/(5 + -3). What is the greatest common divisor of 14 and g?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 1327752 divided by -8?\nAnswer: -165969","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Let f(l) = l. Let o be (-6)\/(-8) + (-5)\/(-4). Let b(w) = w**o + w**2 - w**2. Calculate f(b(n)).\nAnswer: n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**2 - 5*p + 2. Give b(-3).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let s = -3 + 4. Let q(u) = -9*u + 16*u - u + s - 7*u. Give q(5).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of -f**6\/120 - f**5\/12 - 5*f**4\/24 + 2*f**3\/3 + f**2. Let q = 20 - 24. What is the units digit of p(q)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let w = 16 + -11. Calculate the common denominator of (-492)\/(-50)*w\/8 and -29\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -6598.6946 rounded to the nearest one hundred?\nAnswer: -6600","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 3*(7\/(-168))\/(-1).\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let u = 1430 + -2663. Let m = u + 1368.2. What is m rounded to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = 2 + -7. Let z(m) = 4*m**2 + 5*m. Let v(t) = 11*t**2 + 6*t - 18. Let w(i) = -14*i**2 - 6*i + 27. Let f(u) = 3*v(u) + 2*w(u). Calculate a*f(r) + 6*z(r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (y + 2*y - 2*y + (2*y - 3*y - 3*y)*(3 + 0 - 4))*(y**3 + 7 - 7).\nAnswer: 5*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Does 507 divide 317887281?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.2031937 rounded to two decimal places?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let r(j) = 50*j + 17. Is r(9) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 5032657514?\nAnswer: 2, 313, 499, 16111","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 111*m + 17653 + 113067 = 25*m. Which is smaller: m or -1528?\nAnswer: -1528","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -5*z**2 - 17*z + 3942. List the prime factors of j(0).\nAnswer: 2, 3, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 1118023367 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let n = -83.4 + 88.4. What is the second biggest value in -27, 0.2, 2, 22, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 26437, 26876, 27315, 27754, 28193, 28632?\n\"Answer: 439*h + 25998","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let q = 5 - 0. Suppose -4*a - 8 = -0*a + 3*p, -p - 10 = q*a. Suppose 4*x + 1 + 7 = 0. Is x >= a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -a42 + -6?\nAnswer: -a48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (-1 - 3*l + 0 + 0)*(-3761 - 3006 + 7976 + 9401 + 12670) to the form w + x*l and give x.\nAnswer: -69840","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*u + 4*s + 40 = -s, 5*s = -4*u - 5. Suppose 2*y + t + 2*t - 859 = 0, -u*t = -2*y + 835. Suppose 8*d = 3*d + y. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 480 and 15?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let q(s) be the third derivative of -s**5\/12 + 5*s**4\/8 + 7*s**2. Solve q(a) = 0 for a.\nAnswer: 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(w) = -3*w. Let p(m) = m**2 - m + 1157. What is a(p(d))?\nAnswer: -3*d**2 + 3*d - 3471","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let o(r) = 2*r + 59. Let n be 1\/((-28)\/(-12) - 2). Suppose 0 = 4*z + 7*d - 3*d - 52, -d = -n. What is the least common multiple of o(-26) and z?\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 89*w**2 + 76*w + 646. What is the units digit of v(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a(c) = -c. Let f(r) = 39*r - 3. What is 2*a(t) + f(t)?\nAnswer: 37*t - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 22755.\nAnswer: 3, 5, 37, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve -s**4\/2 + s**3 + 14*s**2 + 23*s + 21\/2 = 0 for s.\nAnswer: -3, -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Solve 293 = -15*m + 368 for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 163 + -163. Suppose 8*p - 70 - 66 = s. Suppose -5*v = 2*f - 362, -f + 0*v + 188 = -v. What is the remainder when f is divided by p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4 = 11*s - 10*s for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let z = 433 + -409. Solve -z*w + 19*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: How many minutes are there between 8:40 PM and 2:33 AM?\nAnswer: 353","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when (34 - 5)\/(-1 - -2) is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*s - 7*s = -183. Calculate the remainder when s is divided by 16.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(h) = 2*h**3 - 5*h**2 + 6*h - 6. Calculate the remainder when n(5) is divided by (-15 + (61 - 13))\/1.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 113 divide 2599?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Is 25621 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let q be 1\/4*2 - (-7939)\/34. What is the greatest common factor of q and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from zkjztzxzxxfxzx. Give prob of picking 1 t, 1 j, 1 x, and 1 k.\nAnswer: 5\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 82 = 5*g + 2*c, 4*g + c - 63 = 5. Solve -3*h + g = -3*z + 2*h, -5*z = 4*h - 7 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve -20527*z - 9 = -q - 20525*z, 36 = 2*q + 2*z for q.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the closest to -9? (a) -0.1 (b) 3 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Expand -4*v**5 + 0*v**5 - v**5 - v**5 + v - v + (-v + 0*v + 0*v)*(-v**4 - v**2 + v**2) + 4*v**5 - 3*v**5 + v**5 - 3*v**5 + 3*v**5 + 2*v**5.\nAnswer: -v**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let v(s) = -s**2 - 4*s + 19. Let a be v(-7). Let f be (-7)\/a*264\/77. What is the greatest common factor of f and 12?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -41\/292644 and 79\/372456?\nAnswer: 4097016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let c(z) = 1. Let j(v) = 3*v + 6. Let a be ((-6)\/(-24) - 71\/(-4)) + 0. Let w(d) = a*c(d) + j(d). Let b(m) = -2*m**2. Calculate w(b(t)).\nAnswer: -6*t**2 + 24","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let r(q) = -q - 19. Let d(f) = -2*f**3 + 19*f**2 + 17*f + 18. Let h be d(10). Suppose -4*t + 2*k - 44 = 14, 0 = -4*t - 4*k - h. Determine r(t).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -15d809 (base 14) to base 9\nAnswer: -1388302","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let p(q) be the first derivative of q**2\/2 + 23*q - 13. What is the smallest common multiple of 1\/2 + (-3)\/(-2) and p(-17)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b = 0.8 + -0.5. Let w = -0.26 + -3.74. Put b, w, -7 in decreasing order.\nAnswer: b, w, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let k(w) = 29*w**3 - 2*w**2 + w. Let a be k(1). Suppose -d + 3*d - a = 0. What is the units digit of d?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 67743 to the nearest integer?\nAnswer: 260","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: 4086a9 (base 13) to base 4\nAnswer: 11233022131","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -1\/112 and 75\/728.\nAnswer: 1456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Solve 51*o = -440 - 19 for o.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -6078 in -2, 3, 15?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3\/4 + 27\/(-24). Let q = 549280 + -7136530\/13. Let c = q - 316. What is the second biggest value in c, h, 0.3?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let p(v) = -v**3 - 9*v**2 + 8*v - 5. What is p(-10)?\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Differentiate -2*i**2 + 2*i**2 + 4 - 4*i**4 + 0*i**4 wrt i.\nAnswer: -16*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: 283\/9 or 32?\nAnswer: 32","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (f\/f**(1\/3))**(-2\/5)\/(f**(-1\/3)\/(f*f*f**19*f)) assuming f is positive.\nAnswer: f**(331\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(r) = -26*r - 8. Let c(s) = s + 1. What is 6*c(z) + f(z)?\nAnswer: -20*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 1 + -17365876864313.\nAnswer: -17365876864312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: -5ebac (base 15) to base 3\nAnswer: -120101122200","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 950170684.\nAnswer: 2, 67, 163, 21751","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 8 + -47 + (269 - 222)\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = r**2 - 3*r + 2. Let s be x(3). Suppose s*j - 5*j + 12 = 0. Suppose 0 = j*v - 5*l + 3, 7*v = 2*v + 5*l. What is the units digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t = 168 - 162. Let a(j) = -j. Let b(r) = -58*r - 39. Let s(h) = t*a(h) + b(h). Find the first derivative of s(c) wrt c.\nAnswer: -64","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -5*l + 3*r + 4, 3*r - 10 = -2*r. Solve y = 3, x + l*y = -2*y + 14 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 64529191.\nAnswer: 23, 103, 27239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1401866 or -1401867?\nAnswer: -1401866","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -59\/2940 and -143\/44268?\nAnswer: 1549380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Factor 10*y**2\/3 + 58631525*y\/3 - 29315765\/3.\nAnswer: 5*(y + 5863153)*(2*y - 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is -24 times 0.12?\nAnswer: -2.88","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: -4 + (-7 - -5 - (-5 + 1))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (g\/(g*g*g**(1\/5)*g))**35\/(g**(-10)*g**9) assuming g is positive.\nAnswer: g**(-76)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let f(c) = 8*c**2 - 18*c + 79. Calculate f(4).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of 133\/11061390 and -77\/141450.\nAnswer: 55306950","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let y(z) = -6*z + 6. Let w be y(4). Let h = -36 - w. Let q = h + 29. List the prime factors of q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Does 405 divide 16529?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let x(s) = -s + 24. Suppose 336 = 38*l - 10*l. Calculate x(l).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 17012.00018756 - 17012. What is i rounded to 5 dps?\nAnswer: 0.00019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the sth term of -54, -64, -84, -120, -178, -264, -384?\n\"Answer: -s**3 + s**2 - 6*s - 48","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*d - 19 = -2*w, 4*d - 4*w = w - 23. Let q(y) = y**3 + 9*y**2 + 11*y + 9. Is q(d) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the second derivative of 333459*h**3 - 2509*h - 333459*h**3 + 18*h**5 + 16*h**4 wrt h.\nAnswer: 360*h**3 + 192*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (4*((sqrt(220) - (sqrt(220) - (-2*sqrt(220) + sqrt(220))))*-1 + (sqrt(220) + (sqrt(220) - sqrt(220)*2 - sqrt(220)))*1)\/(-1*-1*sqrt(320)))**2.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: 0.3287645947 + -1\nAnswer: -0.6712354053","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the pth term of 20578, 20653, 20726, 20797?\n\"Answer: -p**2 + 78*p + 20501","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 6*c**2 - 5*c**2 + 0*c**2.\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 25*(5 + -3)\/(1 + -3). Let h = 27 + i. What is the nearest to -0.6 in -1\/6, 0.2, h?\nAnswer: -1\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 5516304 (base 7) in base 4?\nAnswer: 2211100122","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from iimmllmhiiii. Give prob of sequence him.\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: 33 + -5 + -8 + (6 - 18) + 6\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -239*z - 6 = 233. What is the nearest to z in -0.2, -8\/69, -2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of ((-10)\/(-3) + -3)\/(2\/606).\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Find the common denominator of -71\/12 and 37\/492.\nAnswer: 492","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Let x(b) = 3 + 13*b - 14*b - 3. Let o be 4\/(-28) - 88\/(-28). Let g be (2\/o)\/((-2)\/(-6)). Give x(g).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Express -2369*h**2 - 426*h - 551*h**2 + 225*h + 200*h in the form a*h + q + d*h**2 and give d.\nAnswer: -2920","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Express ((1 + 0 + 1)*(-5 + 0 - 1) + (-4 + 1 + 5)*(1 - 1 - 1) + 5 - 4 - 2)*(2 - 6 + 3 + 2*r) in the form t*r + g and give g.\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let s = 5 + -3. Suppose s*k - 8 = -2. Suppose -11 = -4*x + 3*j, -4*j - k = x - 1. Solve o = x*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 76 = 35*s + 2*d, -4*d - 3621 = -3633 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: 3 * 1456\nAnswer: 4368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Calculate -0.3 + 345482.\nAnswer: 345481.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let j(u) = u**3 - 8*u**2 + 7*u - 122. Let g be j(9). Solve -194 = g*y - 40 for y.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 84 = -4*c + 5*y, -4*y - 15 = 5*c + 90 for c.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let j(z) = -z**3 - 27*z**2 - 81*z - 779. Calculate j(-25).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Convert 3 (base 14) to base 8.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let v = -1743 + 2820. Is v greater than 1077?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 9607341 is divided by 3371.\nAnswer: 3362","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -3*i = 3 + 9, -28 = 4*y + i. Let j(n) = -n**2 + n. Let o(c) = -2*c**2 - 10*c - 22. Let t(v) = -2*j(v) - o(v). List the prime factors of t(y).\nAnswer: 2, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -0.370206999 to 4 dps.\nAnswer: -0.3702","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 59 - 0?\nAnswer: 59","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1184354.\nAnswer: 2, 463, 1279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Solve 654*c + 1892*c + 332862 = 98630 for c.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let f(p) = 4*p - 10. Let z(u) = u - 3. What is -4*f(l) + 14*z(l)?\nAnswer: -2*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: In base 15, what is 3356 + 0?\nAnswer: 3356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*o + 3*o - 10. Suppose s = o*s + 5. Let f = 4.9 + -5. What is the biggest value in s, f, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor -2\/3*w**3 + 0*w**2 + 1\/3*w**4 + 0*w + 0.\nAnswer: w**3*(w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(p) = -p**3 - 54*p**2 - 7*p - 687. What is the units digit of b(-56)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is next in 45049, 49595, 54141, 58687?\nAnswer: 63233","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (sqrt(1000)*-1)\/(1*sqrt(20)) - (-3 + sqrt(128)\/sqrt(4) + 1).\nAnswer: -9*sqrt(2) + 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: In base 13, what is -3b7 + -90a5b?\nAnswer: -91145","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 6*q - 15 = q. Suppose -3*r = -0*r - 4*k - 52, 0 = -3*r - 5*k + 16. Suppose d + q*d - r = 0. Is d a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.387 rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) be the third derivative of v**7\/2520 - v**6\/360 - v**5\/30 + v**4\/12 - v**2. Let r(c) be the second derivative of i(c). List the prime factors of r(5).\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(u) = 2 - 10 + 5*u + 10. Let p(w) be the second derivative of -35*w**3\/6 - 15*w**2\/2 + 15*w - 14. What is -2*p(x) - 15*s(x)?\nAnswer: -5*x","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -3 + 0 - (0 + 10 - 8)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let f(x) = -x**2 - 6*x + 6. What is f(-9)?\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let 3*u**2 - 36*u = 0. Calculate u.\nAnswer: 0, 12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 86902?\nAnswer: 2, 43451","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: -1353 divided by -4\nAnswer: 1353\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 586.\nAnswer: 2, 293","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: -0.9 or -1323\/48473?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(h) = h**2 + 8*h + 3. Let f be v(-5). Let c be -1 - f\/(3 + 0). Is 1\/c - 2600\/(-12) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1 + 0 + sqrt(2000))**2 + -3*(sqrt(55)\/(-2*sqrt(11) + sqrt(11)) + -5).\nAnswer: 43*sqrt(5) + 2016","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(o) be the second derivative of o**3\/3 - 2*o**2 - 7*o. What is the units digit of h(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 607 minutes after 2:42 AM?\nAnswer: 12:49 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 45*s - 39*s + 6 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 75*q = 72*q + 6492. What are the prime factors of q?\nAnswer: 2, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*sqrt(90)*-2)\/(sqrt(288) + 2*sqrt(288)) - ((-2*sqrt(4500) + sqrt(4500))*2)**2*-1.\nAnswer: -sqrt(5)\/6 + 18000","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Convert 111101001110 (base 2) to base 10.\nAnswer: 3918","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 576662173 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: -3 + 5 - 0 - 2\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Solve -30 = -40214238*r + 40214243*r, 6 = 6*u + 5*r for u.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*d = -5*q - 15, -q + 5*d - 4 + 1 = 0 for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"} +{"text":"Question: Let y(u) be the third derivative of 0 - 1\/210*u**7 + 0*u**4 - u**2 + 0*u**6 + 0*u**3 + 0*u - 1\/30*u**5. Find the third derivative of y(m) wrt m.\nAnswer: -24*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -2*v + 18. Let r be t(0). Suppose -5*l + 5*j = -380, l + r = -4*j + 69. Suppose 0 = l*y - 76*y + 13205. Is y a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let o = 13303 + -8502. What are the prime factors of o?\nAnswer: 4801","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 j, 1 h, and 1 o when three letters picked without replacement from oashvjjh?\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 314.4978 milligrams in kilograms?\nAnswer: 0.0003144978","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is 1082282819 to the power of 1\/8, to the nearest integer?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Let o(d) = 72*d**2 + 49*d - 172. Calculate o(4).\nAnswer: 1176","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (5*(2 + sqrt(44)\/sqrt(4)))**2.\nAnswer: 100*sqrt(11) + 375","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let f = 160 - 144. What is the smallest common multiple of f and 18?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let x be ((-4)\/6)\/((-2)\/9). Suppose -3*f - 5 - 16 = 0. Let j = f - -28. What is the greatest common factor of x and j?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 396 > 395?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let l be (-21)\/14*(22\/(-3) + 2). Let i(h) = -h**2 + 7*h + 11. What is i(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Factor 5*t**3 + 166605*t**2 + 999250*t - 6663000.\nAnswer: 5*(t - 4)*(t + 10)*(t + 33315)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Let g = 15 - 11. Let k = 133 - 119. Factor h**2 + 2*h**2 + k*h**g - 17*h**4.\nAnswer: -3*h**2*(h - 1)*(h + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is -240337.3703 rounded to the nearest 100?\nAnswer: -240300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Put -0.07, -5, 1\/9, -21, -0.03, 0 in decreasing order.\nAnswer: 1\/9, 0, -0.03, -0.07, -5, -21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Let i be 3 - 51\/15 - (-6)\/(-10). Let v(b) = -166*b - 2. Let y be v(i). What is the hundreds digit of y + -1*(-1 + 1 - 0)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to 71 in 0.12, 2, -300?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Solve 43*v - 716 + 2612 = 130*v + 504 for v.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Which is the biggest value? (a) 1 (b) 28 (c) -0.5 (d) -5 (e) -24\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 1 v when two letters picked without replacement from {t: 2, v: 1}?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 535 minutes before 2:27 AM?\nAnswer: 5:32 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"} +{"text":"Question: Let b(w) = -w**2 - 525*w - 12498. Give b(-25).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Solve 10*a - 7*a - 9 = 0 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Solve -112*f - 72*f + 5*f = -1432 for f.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (-5 - 21\/(-3))\/((-56)\/448).\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let d(o) = 3*o**2 - 1. Is d(-5) a multiple of 18?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -y = -3*c + 11, -4*c + 6*y - y = 0. Suppose 0 = 3*k + 3*g - 21, 4*g + 0*g = c*k + 10. Solve 0 - 2\/3*t**k - 1\/3*t**3 - 1\/3*t = 0.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -g**3 - 7929*g + 7929*g - 65*g**2 - 2*g**3.\nAnswer: -3*g**3 - 65*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Simplify sqrt(20)\/(sqrt(10) + (-2*sqrt(40) + sqrt(40) - sqrt(40))).\nAnswer: -sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Expand -8*a + 8*a + 3*a**3 + (3*a + 3*a - 5*a)*(-a**2 + 0*a**2 - a**2) - 2*a + 2*a + 10*a**3.\nAnswer: 11*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let p(f) be the third derivative of 13*f**2 + 0*f - 1\/3*f**3 + 0. Let h(q) = -q**2 + 1. What is -2*h(n) - 2*p(n)?\nAnswer: 2*n**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -4*k**2*q**4 - 2*k**2*q**3 + k**2*q**2 - 19*q**3 - 22*q**2 wrt q.\nAnswer: -96*k**2*q - 12*k**2 - 114","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Is 909451 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is 54 - (38 + -9 + -10 - 4)?\nAnswer: 39","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the wth term of -4538, -9130, -13724, -18320, -22918, -27518, -32120?\n\"Answer: -w**2 - 4589*w + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Solve 87*j = -32 - 751 for j.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let c be 32\/100*735\/196. Let t be (36\/(-66))\/(0 - -1). What is the second biggest value in c, t, 2?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-382*s**3 + 131*s**3 - 64 + 123*s**3 + 129*s**3)*(-2 - 1 + 1).\nAnswer: -2*s**3 + 128","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the next term in -12, -56, -130, -234, -368?\nAnswer: -532","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is ab07c (base 13) in base 4?\nAnswer: 1023221320","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the highest common divisor of 3 and 249.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(r) = -r**3 - 5*r**2 + 5*r - 2. Let a be -3*6*(2 + (-7)\/3). Let t(x) = 0*x + 4*x + x - a*x. Let u be t(6). What is h(u)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"} +{"text":"Question: Let d = -810 + 360. Let m = d - -447. What is the closest to 2 in 0.2, m, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of -3*i**3*x**3 + 4135*i**3*x**2 - 4*i**3 + 287*i**2*x - 9*i*x - x**3 wrt x?\nAnswer: -18*i**3*x + 8270*i**3 - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 43370.\nAnswer: 2, 5, 4337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 516 = 311*c - 225*c. Suppose 7 - 1 = 3*g, 2*h = -2*g + 8. Suppose -4*i = -4, -m + 0 + 19 = h*i. What is the remainder when m is divided by c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {h: 1, x: 4, f: 4, s: 1}. What is prob of picking 1 x and 1 h?\nAnswer: 4\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Is 33143138381 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Is 7985 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Express -7 - 20 + 0*m + 0*m - 3*m + m as i*m + q and give q.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Which is greater: -1 or -971\/1676654?\nAnswer: -971\/1676654","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (y\/(((y**(-1\/5)*y)\/y)\/y)*y)\/(y**4*y*y)*(y**1)**(-17) assuming y is positive.\nAnswer: y**(-99\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 0.1588 + -0.2775. Round v to 2 decimal places.\nAnswer: -0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -4224211 (base 5) to base 13.\nAnswer: -26165","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 0.14? (a) 1\/2 (b) -2\/17 (c) 1\/3 (d) -9\/13 (e) -30\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 18*g = 15*g. Suppose 5*n - 2*s = 125, -50 = -g*n - 2*n - 3*s. What is the remainder when 72 is divided by n?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 15 and 15.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 312287?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify n**(2\/27)\/(n\/(n**(-23)\/n)*n) assuming n is positive.\nAnswer: n**(-700\/27)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let t(v) = -11*v + 397. What is t(31)?\nAnswer: 56","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence wvq when three letters picked without replacement from wvvfqvfv.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let l(f) = -f - 5. Suppose 5*m - 5*s = -25 + 60, 15 = m - 5*s. Let r be (12\/10)\/(-3) - 28\/m. Calculate l(r).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Convert -5 (base 13) to base 8.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the second derivative of 55587255*c**5 + 6397048*c wrt c?\nAnswer: 1111745100*c**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(m) = 21878*m**2. Let a(d) = 32*d. Determine i(a(g)).\nAnswer: 22403072*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Find b, given that 9*b**5 + 1743531*b**4 + 32543614*b**3 + 162326970*b**2 + 97628409*b + 15690267 = 0.\nAnswer: -193707, -9, -1\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Work out -7569 * 25.9.\nAnswer: -196037.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Is 40884049 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 42\/24 + 40\/(-32).\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -0.3, 0.06, 18, 2\/11 in descending order.\nAnswer: 18, 2\/11, 0.06, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Divide 179 by 5.\nAnswer: 179\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Find the third derivative of -17712377*i**6 + 3*i**2 + 1359269.\nAnswer: -2125485240*i**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 4*n - 4 = 4*p, -5*p + 19 = 2*n - 4. Factor 0 - 32\/7*q**n - 2*q**5 - 8\/7*q**3 + 0*q**2 + 0*q.\nAnswer: -2*q**3*(q + 2)*(7*q + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the smallest common multiple of 309 and 21.\nAnswer: 2163","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 13295155\/5257110 - ((-2)\/10)\/((-156)\/75 - -2).\nAnswer: 2\/69","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(x) be the third derivative of x**5\/15 + x**4\/24 + x**3\/6 + 123*x**2 - 2. Calculate y(-2).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (2058\/(-25578)*(-24)\/(-56))\/((-4)\/(-6)).\nAnswer: -3\/58","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 12, what is 12ba91b6 - 1?\nAnswer: 12ba91b5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -43 - -20 - (-36 - (8 + -24) - -7).\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the lth term of 898382, 1796773, 2695164, 3593555?\n\"Answer: 898391*l - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Product of -0.1 and 18.6.\nAnswer: -1.86","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let b = -2.3 - 0.7. Let s = -6.6 + 7.6. What is the closest to -0.1 in s, b, 0.01?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the highest common factor of 4070 and 330?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: What is the derivative of -806*h**3 - 1666*h**2 + 3*h + 22190458 wrt h?\nAnswer: -2418*h**2 - 3332*h + 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 5*t - 2*k - 33 = 0, 0*t = 2*t + 2*k - 16. Let z(y) = -y - 7*y + t*y - 13. Let o(n) = n**3 - n**2 - n - 7. Let p be o(0). Give z(p).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 40060 is divided by 210.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Express (-3 + 3 + 3)*(4*y - 2*y**2 - 4*y) - 5 + 5 + 4*y**2 as d + f*y**2 + b*y and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the ath term of 2392860619, 2392860620, 2392860621, 2392860622, 2392860623?\n\"Answer: a + 2392860618","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: -0.8*-1.7\nAnswer: 1.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: How many kilograms are there in twenty-six fifths of a tonne?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Sort 2, -1, 17, 5, 0.2, -66, -1\/230 in descending order.\nAnswer: 17, 5, 2, 0.2, -1\/230, -1, -66","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 9*y - 8 = -2*r + 4*y, r = -5*y + 4. Let g = 86 + -53. Suppose 0 = 8*z - 31 - g. Calculate the lowest common multiple of z and r.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (20\/(-136))\/(521265\/(-279837))?\nAnswer: 3\/38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, w: 2, c: 1, p: 4}. What is prob of picking 2 p?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 2, what is 11110001 - -100?\nAnswer: 11110101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is 1016 - 3?\nAnswer: 1013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Sort 524340\/11, -1\/23, 5 in descending order.\nAnswer: 524340\/11, 5, -1\/23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: How many millilitres are there in 61\/4 of a litre?\nAnswer: 15250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let x(p) = p**3 - 12*p**2 + 11*p - 26. Let d be x(9). Let c = d - -244. What is the units digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 1469?\nAnswer: 13, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 11*z = 82 + 28. What is the lowest common multiple of 9 and z?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 9543 or 9544?\nAnswer: 9544","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 34188.\nAnswer: 2, 3, 7, 11, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 y and 2 g when three letters picked without replacement from ygyggyyoy?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: What is 5288.246 rounded to the nearest 10?\nAnswer: 5290","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-219 + 219 + 5*o)*(-1 - 3 + 3) - 2*o + 3*o + 0*o.\nAnswer: -4*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let k be (-4)\/(-10) - 1490\/(-25). Suppose -3*z + 5*z - k = 0. Let v = -894 + 897. Solve 0 = 5*g - 0*p - p - 30, 0 = -3*g + v*p + z for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 21, 72367, -5?\nAnswer: 72367","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 3257, 12939, 29071, 51653?\n\"Answer: 3225*h**2 + 7*h + 25","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Is 641735 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of -9\/22 and 15*(-2)\/(-492)*(-93)\/(-40).\nAnswer: 7216","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -12*r - 10*r + 3*r - 1.\nAnswer: -19*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 0.7 + -0.2. Let q = -77 - -77.4. What is the second biggest value in 3, j, q?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (r**(-18)*r*r**14)\/(r**(-2\/29)\/r**(-2\/3)) assuming r is positive.\nAnswer: r**(-313\/87)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let b(s) be the second derivative of s**3\/2 - 7*s**2\/2 + s - 2. Suppose 0 = -4*l + 5*l - 5, 0 = -u + 5*l - 17. Let r(k) = 5*k - 11. Calculate u*b(y) - 5*r(y).\nAnswer: -y - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let v = 156.96 - 157.11102. Round v to 2 decimal places.\nAnswer: -0.15","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"} +{"text":"Question: Is 2209845 a multiple of 11?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 124111408?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate -1 + -7 + 107 + -98.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Factor -25*i**3 + 110*i**2 - 115*i + 30.\nAnswer: -5*(i - 3)*(i - 1)*(5*i - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 349059 is divided by 174526.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Let w = -9 + 15. Let c(b) = -b**2 + 4*b. What is c(w)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 0 = 1283*o - 1289*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let d = -140737 - -232779. Is d a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 5, what is 13430402 - -10?\nAnswer: 13430412","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is 31.09606l in millilitres?\nAnswer: 31096.06","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Simplify ((a\/a**3*a**(-4))\/(a**8\/a**(4\/7)))\/((a**(1\/3))**(2\/13))**(2\/17) assuming a is positive.\nAnswer: a**(-62350\/4641)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from {f: 8, x: 3}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: In base 7, what is -1623062 + 10?\nAnswer: -1623052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundred thousands digit of 4833268531?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Expand (35 - 31 + 8*m**2 - 7*m**2 + 15*m)*(-2*m - m + 5*m).\nAnswer: 2*m**3 + 30*m**2 + 8*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: -6 + (-9 - (9 - 14 - -1 - -8))\nAnswer: -19","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 9 + -1 + -3 + 1 + -2\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: In base 9, what is 568 + -3?\nAnswer: 565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Solve 4*k**2 + 39784520*k = 0 for k.\nAnswer: -9946130, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 709545?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Is 1662971 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let w(x) = 4*x**2 - 31*x + 18. Let c(k) = 3*k**2 - 26*k + 16. Let a(z) = 3*c(z) - 2*w(z). Give a(12).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 15006944 to the nearest integer?\nAnswer: 3874","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = -8*j + 22 + 10. Put j, -0.3, 0.4, 8 in descending order.\nAnswer: 8, j, 0.4, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the biggest value in 3, 1\/6, -2\/29?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate 6 + 32 + -8 - 47.\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -6088*t - 122 = -6149*t. Let r = -3 - -6. Let i be r + 3*2\/(-3). Solve t*u + i = 5 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(j) = j**2 - 1. Let z = 4 + -4. Suppose z*v = 2*v - 4. What is h(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: In base 14, what is -4a + 5?\nAnswer: -45","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let u(c) = -c**2. Let n(p) = -p**3 + 12*p**2 - 10*p + 25. Let j be n(11). Suppose 0*q = -3*q + j. Let g(l) = -q*l - 11*l + 25*l. What is g(u(h))?\nAnswer: -2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Let j = 646 - -30233. Is j a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round -107.6 to the nearest 10.\nAnswer: -110","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: In base 4, what is 10 - -3130?\nAnswer: 3200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -1028 - -1551. Does 29 divide z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is bigger: 0 or 2\/590559?\nAnswer: 2\/590559","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: Let v(u) be the first derivative of u**4\/2 + 226*u**3\/3 + 827*u - 344. What is the derivative of v(f) wrt f?\nAnswer: 6*f**2 + 452*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let z = -219 - -220. Which is the nearest to -75? (a) z (b) 3 (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of 172092971*f**2*y**3 - 4982*f**2*y**2 + 28*f*y**2 + 7*f + 3*y wrt y?\nAnswer: 1032557826*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"} +{"text":"Question: Let k(s) = -3*s**2 + 70*s - 379. Determine k(6).\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Let i(r) = -r**2 + 3*r - 3. Let m be i(3). Let x = -3 - m. Suppose x = -3*v + v + 8. List the prime factors of v.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the third derivative of -251*s - 3*s**2 + 2*s**4 + 4*s**4 - 241*s + 64*s**3 + 543*s + s**4 wrt s?\nAnswer: 168*s + 384","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 224 and 954040?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*i + 140 = -68. Let c(b) = b + 10. What is c(i)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: -8.16 - -0.359741\nAnswer: -7.800259","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 5.15 - 5.65. Suppose -13 = -3*z - 22. What is the second smallest value in p, -0.8, z?\nAnswer: -0.8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to -8\/7? (a) -1\/5 (b) 1\/43 (c) 0.3 (d) 2\/5 (e) -1\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of ((-3)\/10)\/(129\/(-86))?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -2*w + 46 - 48 = 0. Let v be (-1 + 3)\/(w\/((-15)\/(-10))). List the prime factors of (-2 - 2)*(-14 + 9\/v).\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -4*(-2 + 1 + 5*((sqrt(76) + -1)**2 + -1 + sqrt(76)\/sqrt(4) - -5*(sqrt(76) + -4 - sqrt(19))**2)).\nAnswer: -5016 + 860*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in x**2 - 10*x**2 - 19*x**2 - 56 + 56.\nAnswer: -28*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Let i(x) = 4*x**2 - x - x + 4*x**3 - 6 + 0*x. Let y = -381 - -384. List the prime factors of i(y).\nAnswer: 2, 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (-3*sqrt(1296))\/((sqrt(96) + -3*sqrt(96) + sqrt(96))\/sqrt(8)).\nAnswer: 18*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is the difference between 0.08024271 and -2516.21?\nAnswer: 2516.29024271","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*x - 463 = -5*a - 74, 0 = -5*x - 10. Let g = 135 - a. What is the units digit of g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Divide 99624912 by -8302076.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: Simplify v*v**(-17)*v\/v**(-12) assuming v is positive.\nAnswer: v**(-3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Let d(z) = 4*z**2 - 3*z + 3. Let f(m) = -2*m**2 - 9*m + 6. Let w be f(-6). Let h(n) = n**2 - n + 1. What is w*h(l) + 4*d(l)?\nAnswer: 4*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-2*q + 2*q**2 + 2*q)*(113*q**3 - 224*q**3 + 80*q**3) - 3*q**5 + q**5 - 3*q**5.\nAnswer: -67*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let m(n) = -2*n**2 + 76*n - 2. Is m(19) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"} +{"text":"Question: 20230131 (base 4) to base 5\nAnswer: 2114423","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: Is 1112919407 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) be the third derivative of -w**7\/70 + 19*w**5\/60 + 293*w**4\/6 - w**2 - 1981. What is the second derivative of o(j) wrt j?\nAnswer: -36*j**2 + 38","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 10964724 is divided by 3654904.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-4*h + 5*h + h)*(-11 + 0 - 6)*(11*h**3 - 11*h**3 - h**4).\nAnswer: 34*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Simplify -6*(sqrt(80) + -1) + 1 + 1*sqrt(80) - (-4 + (sqrt(80) + -1 + 1)**2).\nAnswer: -69 - 20*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: What is (-2 + -8 - -11) + (9 - -2)?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (-5)\/(((-294)\/28)\/(-21))?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the nearest to 1? (a) 5 (b) 5.6 (c) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Let z(f) = 43*f. What is z(-1)?\nAnswer: -43","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Sort 283, 2, -2 in descending order.\nAnswer: 283, 2, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: What is (2 - 7) + 2 - 6?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 291, 839, 1683, 2823, 4259?\nAnswer: 5991","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is the greatest common factor of 11968858 and 22066?\nAnswer: 1298","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"} +{"text":"Question: Let h(u) = -2*u**2 + 8 - u**3 + u**2 - 2*u + u**2 + u**2. Let j be h(0). Solve -5*s - 3*z = -s + j, 21 = -s + 4*z for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n be 6\/10 + 4\/10. Sort -1, -4, n in ascending order.\nAnswer: -4, -1, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 233*z - 3763 = 64*z + 293. Solve -62*b + 4*o + 4 = -65*b, -2*o = -5*b - z for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in -49*h**3 + 169 + 2 - 170.\nAnswer: -49*h**3 + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 52*h - 4 = 48*h. Let a(q) = q. Let o(w) be the third derivative of -w**4\/6 - w**3\/6 + w**2. Give h*o(i) + 5*a(i).\nAnswer: i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from {t: 1, o: 7, n: 5}. What is prob of sequence to?\nAnswer: 7\/156","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let t = -70 + 81. Suppose -2*x + 1624 = -3*p, 3*x + 5*p - 1138 = 1241. Calculate the greatest common divisor of t and x.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Evaluate (330\/(-10))\/11*3.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let m(l) = -5 + 4*l + 5 + 4 - 3. Let s be m(1). Solve -4 + 14 = -s*j for j.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(y) be the first derivative of 88*y**5 - 6034*y + 9392. What is the derivative of s(q) wrt q?\nAnswer: 1760*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.0000018573079 to five dps.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Simplify 5*sqrt(475)*-2 + (0 + sqrt(475))*6 + ((3 + sqrt(475))*4 - (-3*sqrt(475) + 1)**2).\nAnswer: -4264 + 30*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Let o(w) = w**3 - 14*w**2 - 39*w - 74. Calculate o(17).\nAnswer: 130","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What is 0.00004988 rounded to 6 dps?\nAnswer: 0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -11*o + 32 = -34. What is the lowest common multiple of o and 26?\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Solve 89*p + 26*p - 1935 = 135 for p.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: Let t(d) = 5*d**3 + 1444*d**2 + 2585*d + 550. Determine t(-287).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: -648*-55581\nAnswer: 36016488","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the th term of 782, 1104, 1426, 1748, 2070?\n\"Answer: 322*b + 460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1901 is divided by 31.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the lowest common multiple of 348 and 577626?\nAnswer: 33502308","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is 170 - 131 - (29 - -1) - 88?\nAnswer: -79","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: 5012 - 0.4289\nAnswer: 5011.5711","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Let f be (24\/(-63))\/((-14)\/21). Let m = 4.653 + -0.053. Let b = 5 - m. What is the second biggest value in b, f, 2\/11?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 9*x**2 + 12*x**2 + 13*x**2 - 28*x**2 - 15.\nAnswer: 6*x**2 - 15","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: 2 + (-90)\/(-80)*-2\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 14*k - 45*k - 87*k + 18408. What is the highest common divisor of 377 and k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the least common multiple of 72 and 344?\nAnswer: 3096","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Is 1\/67240595 at most as big as -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 3 (base 7) in base 12?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 208094133?\nAnswer: 3, 13, 23, 113, 2053","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let j(k) = 5*k**2. Let r(s) be the second derivative of 0 + 0*s**2 - 35*s - 5\/3*s**3. What is j(r(n))?\nAnswer: 500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 2 + -34 + 133 + -58 - (-2 - 2).\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let p(y) = 2*y**2 + 2*y - 1. Let l(d) = -5*d**2 - 4*d + 2. Let g(n) = -3*l(n) - 7*p(n). Factor g(q).\nAnswer: (q - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let y(l) = -2*l**3 + 3*l**2 - l. Let k be y(-4). Suppose 4*g - 14 = 14. Calculate the remainder when 2\/g - k\/(-7) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is 75866.51ml in litres?\nAnswer: 75.86651","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: Let m = 26193\/13 - 2016. Suppose 5*x + 10 = 4*b + 1, -7 = 5*x - 2*b. Is m != x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let i = -1.244 - 3.756. Let h = 28 + -18. Let q = h + -6. Which is the closest to 0.1? (a) i (b) q (c) -2\/21\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let b(x) = -2*x - 4. Let s be b(-3). Suppose -2*w + 80 = s*h, -4*w + 5*w + 2*h = 36. Suppose w = -4*q + 372. What is the tens digit of q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 86*x = 80*x - 84. Is x <= -115\/8?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 8848154 less than 8848244?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 s, 1 v, 1 p, and 1 a when four letters picked without replacement from {s: 1, v: 1, a: 4, x: 1, p: 2}?\nAnswer: 4\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the uth term of -84754, -84752, -84750?\n\"Answer: 2*u - 84756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let p = 26 + -24. Let j = 15 - 10. Suppose j*v - 48 = -a, -3*a + p*a = -4*v - 39. Is a prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let u(x) = -x**3 - 10*x**2 - x - 7. Let b be (-5)\/(-20) - (-82)\/(-8). Suppose -2*y + 1 + 1 = 0. What is the remainder when u(b) is divided by y?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"} +{"text":"Question: Is 4751 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -f = -q + 2 + 5, 0 = -5*f + q - 43. Let l = f + 18. Let v(a) = 27 - 13 - 14 + l*a**2. Let t(r) = -2*r. Determine t(v(o)).\nAnswer: -18*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: Determine q so that 3*q**4\/2 + 2211*q**3\/8 - 8433*q**2\/8 + 1269*q\/2 = 0.\nAnswer: -188, 0, 3\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of -6 + (-5 - -18) - 1?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: -1256*-6.4631\nAnswer: 8117.6536","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Let v(j) be the first derivative of 0*j**5 - 6*j - 38\/3*j**3 - 22 + 1\/3*j**6 + 1\/2*j**2 + 0*j**4. What is the second derivative of v(q) wrt q?\nAnswer: 40*q**3 - 76","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the common denominator of 25\/13083 and 67\/1009260.\nAnswer: 7064820","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: How many micrometers are there in 1585.067m?\nAnswer: 1585067000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"} +{"text":"Question: What is the value of (5\/6)\/(2395\/(-958))*(-1425)\/(-5)?\nAnswer: -95","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Let i = 46 + -90. Let k = i + 69. List the prime factors of k.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the lowest common multiple of 22240 and 180264096.\nAnswer: 901320480","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 452151?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Which is smaller: 31 or 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"} +{"text":"Question: What is 366639846 to the power of 1\/2, to the nearest integer?\nAnswer: 19148","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange (37*c + 36*c + 2*c)*(4 - 3 + 3)*(-10 - 3 - 24) to the form x + p*c and give p.\nAnswer: -11100","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: Let l(c) = -c + 1. Let u(m) = 18*m - 5. Determine 5*l(b) + u(b).\nAnswer: 13*b","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Expand (741*h**3 + 495*h - 957*h + 461*h)*(0 + 1 + 0).\nAnswer: 741*h**3 - h","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Is 1398593 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"} +{"text":"Question: What is next in -3470, -3468, -3464, -3458, -3450?\nAnswer: -3440","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: What is 5\/(-4)*4320\/(-360)?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Expand (3 + 3 - 5)*(-33 + 3 - 23)*(6*o - o - 3*o).\nAnswer: -106*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 251 is divided by 43.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-21)\/(-6) - 42\/7.\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {s: 3, i: 12}. What is prob of sequence ssii?\nAnswer: 11\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Let h be 3740\/40 - (-1)\/(-2). Let g = -42 + h. Calculate the highest common factor of 68 and g.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: Collect the terms in 26627796*l - 2997705*l + 13822760*l - 4588555*l.\nAnswer: 32864296*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"} +{"text":"Question: In base 10, what is 23 - -8021905?\nAnswer: 8021928","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"} +{"text":"Question: Three letters picked without replacement from {u: 6, s: 14}. Give prob of sequence usu.\nAnswer: 7\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"} +{"text":"Question: Is 64 a factor of 704?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from {y: 8, w: 4, n: 2}. What is prob of sequence ynyy?\nAnswer: 4\/143","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: What is the second biggest value in -0.2, -2\/19, -4, 324?\nAnswer: -2\/19","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let v(w) = 4*w + 17. What is v(-12)?\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: What comes next: 7755398, 15510728, 23266058, 31021388?\nAnswer: 38776718","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"} +{"text":"Question: Let d = 110 + -62. Let a = 46.92 - d. Round a to one decimal place.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Two letters picked without replacement from tymytymy. Give prob of sequence yt.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 46\/(-4)*2*-4*(-3)\/(-12).\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Which is the fourth smallest value? (a) -1\/6 (b) -0.4 (c) 5 (d) 17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: List the prime factors of 1416.\nAnswer: 2, 3, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: 2957412 divided by -84\nAnswer: -246451\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"} +{"text":"Question: What is the nearest to -2 in -0.4, 4, -0.5, -0.66?\nAnswer: -0.66","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*p = -3 - 2. Let o be (-10)\/(-2) + -1*p. Suppose -b + o*b - 36 = 0. What is the units digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate prob of sequence uuu when three letters picked without replacement from {w: 3, u: 5}.\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"} +{"text":"Question: Solve -1495001*l + 1495029*l + 196 = 0 for l.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of -169\/492240 and -107\/14064?\nAnswer: 492240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: What are the prime factors of 7389?\nAnswer: 3, 821","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"} +{"text":"Question: Let p(w) = w**2 + 4*w - 3. Suppose t - 2*t - 20 = 4*i, -15 = 3*i - 4*t. Let n be p(i). Which is the smallest value? (a) n (b) 3 (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"} +{"text":"Question: Determine i, given that -5*i**4 + 1255*i**3 - 7275*i**2 - 18335*i - 9800 = 0.\nAnswer: -1, 8, 245","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-3*q + 3*q + q**2)*(4 - 4 - 5*q**2).\nAnswer: -5*q**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: Let i(v) = -6*v**3 + v**2 - 4*v + 17. Let g(o) = 12*o**3 - 3*o**2 + 7*o - 30. Calculate 4*g(u) + 7*i(u).\nAnswer: 6*u**3 - 5*u**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: Let f = -9 + 9. Suppose -2*i - 4 = -f, 0 = -4*b + i + 1082. Round b to the nearest 100.\nAnswer: 300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (1*((5 + sqrt(80) + sqrt(80) + -2)*-5 + 5 + sqrt(80) + -3*sqrt(80) + sqrt(80) + 2 + 1 + 1))**2.\nAnswer: 528*sqrt(5) + 9716","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Which is the third biggest value? (a) 9 (b) -3\/4 (c) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Is 37536 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 12*c = -2*m + 17*c + 35, 2*m + 2*c = 28. Suppose -5*s + 4*s + 60 = 0. Calculate the highest common divisor of m and s.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: 23 + 8 + -10 + -12\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: Simplify q**14\/(q**(-7)\/q)*(q**(-2))**(-30\/11) assuming q is positive.\nAnswer: q**(302\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Calculate (-13 - (22 - 24)) + -56 + 15.\nAnswer: -52","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 1 t and 3 d when four letters picked without replacement from tddddtdddddddddddd?\nAnswer: 56\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Let a(i) = -i**2 + 8*i + 12. Let b be a(9). Let p(o) = 7*o - 2*o**2 - 10*o + b*o. Let h(c) = 5*c. Give h(p(j)).\nAnswer: -10*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"} +{"text":"Question: What is prob of picking 2 k and 1 l when three letters picked without replacement from {t: 2, k: 3, l: 11, f: 3}?\nAnswer: 11\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Calculate the remainder when 1697215 is divided by 848605.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the hth term of 313450, 313437, 313406, 313351, 313266?\n\"Answer: -h**3 - 3*h**2 + 3*h + 313451","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -5*h + m = -1 - 29, 0 = -4*h - 3*m + 24. Calculate the lowest common multiple of 50 and h.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Suppose -4*f = -5*w - 2414, -3*f - 4*w + 3*w + 1820 = 0. What are the prime factors of f?\nAnswer: 2, 3, 101","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let n(k) = -6*k - 331. Give n(-56).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"} +{"text":"Question: Round 0.00000303156 to seven dps.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"} +{"text":"Question: What is the hundreds digit of 563238?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (3 + -1 + sqrt(637) - ((sqrt(78)\/sqrt(2)*-6)\/sqrt(3))**2) + -4*(-1*(0 + sqrt(832)) + sqrt(832))**2.\nAnswer: -466 + 7*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"} +{"text":"Question: Rearrange 35*f**4 - 36*f**4 - 3*f + 4*f**2 + 4*f**3 + 0*f**3 to the form l + v*f + m*f**4 + u*f**3 + w*f**2 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"} +{"text":"Question: (70\/25*-1)\/(129\/(-645))\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"} +{"text":"Question: What is the tens digit of 989500?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -15965 + 143620\/9. What is the common denominator of -111\/2000 and a?\nAnswer: 18000","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"} +{"text":"Question: Calculate 335 - -1243752973.\nAnswer: 1243753308","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 3*i - 2*i - 2 = 0. Let a = -12 + 18. Find the third derivative of -2*b**3 - a*b**3 + 0*b**i - 2*b**3 - 5*b**2 wrt b.\nAnswer: -60","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let s(c) = 11*c + 492. Let g(z) = 52*z + 2456. Give 3*g(n) - 14*s(n).\nAnswer: 2*n + 480","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"} +{"text":"Question: What is the cube root of 8376992 to the nearest integer?\nAnswer: 203","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Simplify (o\/(o**(-6\/7)*o*o))**(-4)\/((o**1\/o)\/((o*((o**(2\/41)*o*o)\/o)\/o*o)\/o*o)) assuming o is positive.\nAnswer: o**(752\/287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 0 = 2*n + 4*a + 48, -3*a - 85 = 2*n + 3*n. Let w = 20 + n. List the prime factors of 4 + w\/3 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let a = -1 - 9. Let g = a - -13. What are the prime factors of g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the remainder when 78691782 is divided by 11241682?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"} +{"text":"Question: What is the sixth smallest value in 5, -231, -1\/4, 0, -1, 4?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"} +{"text":"Question: Let z be 1\/((-9)\/6 + 2). What is the highest common factor of z and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the square root of 2478457 to the nearest integer?\nAnswer: 1574","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"} +{"text":"Question: Solve 3*v**3 + 190986*v**2 - 381993*v - 572976 = 0.\nAnswer: -63664, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"} +{"text":"Question: Four letters picked without replacement from yyyyycyyyyyyy. Give prob of picking 4 y.\nAnswer: 9\/13","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"} +{"text":"Question: Suppose 17*q - 117 = 87. Calculate the greatest common factor of q and 108.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"} +{"text":"Question: What is the common denominator of 97\/25578 and 191\/6090?\nAnswer: 127890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"} +{"text":"Question: Multiply 69 and -0.18.\nAnswer: -12.42","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"} +{"text":"Question: Expand (-j - j**2 + j)*((j + 2 - 2)*(2 - 5 + 1) + 2*j - 3*j - j - 1 + 7*j + 1).\nAnswer: -3*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"} +{"text":"Question: What is the thousands digit of 14524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"} +{"text":"Question: Let b(k) = -6*k**2 + 0*k + 236*k**3 + k - 235*k**3 + 15. Let d be b(6). Solve 3*p + p = -5*u + d, 4 = 4*u for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"} +{"text":"Question: Let h(t) = -t**3 + 16*t**2 - 36*t - 4. Suppose 2*k - 573*g = -575*g + 6, 0 = -3*k - 2*g + 9. What is h(k)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: b\"What is the mth term of -112, -746, -1938, -3688, -5996, -8862?\n\"Answer: -279*m**2 + 203*m - 36","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"} +{"text":"Question: Let x(r) = -2*r**2 - 2*r - 4. Let t(f) = -7*f**2 + 4*f**2 - 7 + 0*f**2 - 3*f. Let v(s) = -3*t(s) + 5*x(s). Calculate v(1).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"} +{"text":"Question: Sort -739, 47\/24, 2\/11, -1 in decreasing order.\nAnswer: 47\/24, 2\/11, -1, -739","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"} +{"text":"Question: Is 15 a factor of 10890?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"} +{"text":"Question: Let s(z) = -109*z**2 + 2*z**2 - 1 + 105*z**2. Suppose 5 = -4*q + 21. Let c be 7\/(-14) - 6\/q. Determine s(c).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}